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Author SHA1 Message Date
Kim Morrison
1a61b025fe feat: theorems about Nat/Int/Rat needed for dyadics 2025-08-22 21:34:31 +10:00
Lean stage0 autoupdater
584ed5f33e chore: update stage0 2025-08-22 08:30:43 +00:00
Mac Malone
1523ed1cdb chore: allow module in LakeMain (#10039)
This PR enables core's `LakeMain` to be a `module` when core is built
without `USE_LAKE`.

This was a problem when porting Lake to the module system (#9749).
2025-08-22 07:45:42 +00:00
Jason Yuen
facc356a0a chore: fix spelling errors (#10042)
Typos were found with
```
pip install codespell --upgrade
codespell --summary --ignore-words-list enew,forin,fro,happend,hge,ihs,iterm,spred --skip stage0 --check-filenames
codespell --summary --ignore-words-list enew,forin,fro,happend,hge,ihs,iterm,spred --skip stage0 --check-filenames --regex '[A-Z][a-z]*'
codespell --summary --ignore-words-list enew,forin,fro,happend,hge,ihs,iterm,spred --skip stage0 --check-filenames --regex "\b[a-z']*"
```
2025-08-22 07:23:12 +00:00
Paul Reichert
c4b3f303bb feat: more convenient creation of polymorphic range instances (#10005)
This PR shortens the work necessary to make a type compatible with the
polymorphic range notation. In the concrete case of `Nat`, it reduces
the required lines of code from 150 to 70.
2025-08-22 07:08:33 +00:00
Paul Reichert
1448493489 feat: improvements to Min/Max-related classes (#10024)
This PR adds useful declarations to the `LawfulOrderMin/Max` and
`LawfulOrderLeftLeaningMin/Max` API. In particular, it introduces
`.leftLeaningOfLE` factories for `Min` and `Max`. It also renames
`LawfulOrderMin/Max.of_le` to .of_le_min_iff` and `.of_max_le_iff` and
introduces a second variant with different arguments.
2025-08-22 07:08:00 +00:00
Cameron Zwarich
f7a251b75f chore: set experimental.module=true when running grind benchmarks (#10041) 2025-08-22 03:15:36 +00:00
Cameron Zwarich
5aa706435a fix: incorporate info from _redArg decls for noncomputable check (#10040)
This PR changes the `toMono` pass to replace decls with their `_redArg`
equivalent, which has the consequence of not considering arguments
deemed useless by the `reduceArity` pass for the purposes of the
`noncomputable` check.
2025-08-22 01:02:40 +00:00
Leonardo de Moura
a581433d8b fix: grind error messages (#10038)
This PR ensures `grind` error messages use `{.ofConstName declName}`
when referencing declaration names.
2025-08-21 23:28:26 +00:00
Leonardo de Moura
6683d1eb91 chore: add module keyword to grind tests (#10036)
This PR also fixes missing `@[expose]` in grind support definitions.
2025-08-21 22:02:08 +00:00
Cameron Zwarich
504d71f268 chore: remove unnecessary code handling cases of an erased value (#10035)
This is now all handled in `toLCNF`.
2025-08-21 21:55:10 +00:00
Cameron Zwarich
ca4322ff09 fix: support casesOn for inductive predicates with computations on fields (#10023)
This PR adds support for correctly handling computations on fields in
`casesOn` for inductive predicates that support large elimination. In
any such predicate, the only relevant fields allowed are those that are
also used as an index, in which case we can find the supplied index and
use that term instead.
2025-08-21 18:55:34 +00:00
Cameron Zwarich
d32f04ba21 refactor: split out an isInductivePredicateVal function (#10033)
This is just like `isInductivePredicate?`, but on an existing
`InductiveVal` rather than one that is looked up by name.
2025-08-21 18:05:14 +00:00
Leonardo de Moura
0db795a1dc feat: improve grind cutsat support for Fin n when n is not a numeral (#10022)
This PR improves support for `Fin n` in `grind cutsat` when `n` is not a
numeral. For example, the following goals can now be solved
automatically:

```lean
example (p d : Nat) (n : Fin (p + 1)) 
    : 2 ≤ p → p ≤ d + 1 → d = 1 → n = 0 ∨ n = 1 ∨ n = 2 := by
  grind

example (s : Nat) (i j : Fin (s + 1)) (hn : i ≠ j) (hl : ¬i < j) : j < i := by
  grind

example {n : Nat} (j : Fin (n + 1)) : j ≤ j := by
  grind

example {n : Nat} (x y : Fin ((n + 1) + 1)) (h₂ : ¬x = y) (h : ¬x < y) : y < x := by
  grind
```
2025-08-21 17:25:52 +00:00
Mac Malone
d9a73dd1e3 feat: @[expose] on Lean.ParserState.setPos (#10019)
This PR adds `@[expose]` to `Lean.ParserState.setPos`. This makes it
possible to prove in-boundedness for a state produced by `setPos` for
functions like `next'` and `get'` without needing to `import all`.

This came up while porting Lake to the module system (#9749).
2025-08-21 17:24:10 +00:00
Joachim Breitner
e9f6033467 chore: benchmark for deriving BEq on large inductive (#10028) 2025-08-21 15:50:12 +00:00
Cameron Zwarich
0c9bb4b861 fix: lower overapplied constructors to unreachable (#10032)
This PR changes the handling of overapplied constructors when lowering
LCNF to IR from a (slightly implicit) assertion failure to producing
`unreachable`. Transformations on inlined unreachable code can produce
constructor applications with additional arguments.

In the old compiler, these additional arguments were silently ignored,
but it seems more sensible to replace them with `unreachable`, just in
case they arise due to a compiler error.

Fixes #9937.
2025-08-21 15:05:09 +00:00
Sebastian Ullrich
9b4911f8f6 chore: CI: fix Linux Lake on PR half-merge (#10029) 2025-08-21 13:25:53 +00:00
Sebastian Ullrich
f678b40660 chore: make USE_LAKE the default (#10016) 2025-08-21 11:43:25 +00:00
Joachim Breitner
890722f571 refactor: factor out mkNatLookupTable (#10006)
This PR shares the meta code that creates a binary decision tree on
Nats.
2025-08-21 10:45:21 +00:00
Marc Huisinga
ef1ca99bff chore: simplify require config in lakefile.toml schema (#10001)
This PR simplifies the `require` config of the lakefile.toml schema in
order to present simpler completions for dependency configuration.
2025-08-21 08:30:42 +00:00
Mac Malone
26fdc1e19a feat: deriving BEq, Hashable for Lean.Import (#10018)
This PR derives `BEq` and `Hashable` for `Lean.Import`. Lake already did
this later, but it now done when defining `Import`.

Doing this in Lake became problematic when porting it to the module
system (#9749).
2025-08-21 07:53:30 +00:00
Mac Malone
0b0d183c1d feat: @[expose] on Name.append & friends (#10015)
This PR exposes the bodies of `Name.append`, `Name.appendCore`, and
`Name.hasMacroScopes`. This enables proof by reflection of the
concatenation of name literals when using the module system.

```lean
example : `foo ++ `bar = `foo.bar := rfl
```

This is necessary for Lake as part of the port to using `module`
(#9749).
2025-08-21 07:52:59 +00:00
Kim Morrison
21f5263f2f feat: minor quality of life improvements in script/AnalyzeGrindAnnotations (#10021)
This PR make some minor changes to the grind annotation analysis script,
including sorting results and handling errors. Still need to add an
external UI.
2025-08-21 04:12:21 +00:00
Lean stage0 autoupdater
02edc0bd92 chore: update stage0 2025-08-21 03:44:22 +00:00
Leonardo de Moura
45affb5e09 fix: missing nonlinear / and % in grind cutsat (#10020)
This PR fixes a missing case for PR #10010.
2025-08-21 02:59:52 +00:00
Mac Malone
6a7111ed0e fix: lake: no LEAN_GITHASH for bootstrap (#10012)
This PR changes Lake to not set `LEAN_GITHASH` when in core (i.e.
`bootstrap = true`). This avoids Lake rebuilding modules when the Lake
watchdog is on one build of Lean/Lake and the command line is on a
different one.
2025-08-21 02:44:36 +00:00
Mac Malone
6b4c356c5b chore: lake: fix tests/module (#10013)
This PR fixes an existing breakage in the Lake's module test caused by
Lean's automatic inlining.
2025-08-21 01:28:06 +00:00
Kim Morrison
e3947cbe20 chore: remove bad Option grind annotation (#10000)
This PR removes a `grind` annotation that fired on all `Option.map`s,
causing an avalanche of instantiations.
2025-08-21 01:08:31 +00:00
Cameron Zwarich
d6a43a660f perf: disable reuse when a value's last use is an owned argument (#10017)
The current reuse analysis is greedy in that every function attempts to
reuse a value. However, this means that if the last use is an owned
argument, it will be `inc`'d prior to this last use, in order to prevent
reuse from happening in the callee. In many cases, it makes more sense
to give the callee the chance to reuse it instead. The benchmark results
indicate that this is a much better default.
2025-08-21 00:41:56 +00:00
thorimur
b2330fee2b chore: miscellaneous documentation typos (#10009)
This PR fixes several typos in documentation.
2025-08-20 21:39:03 +00:00
Leonardo de Moura
105879669e chore: remove unnecessary hypothesis in ToInt helper theorems (#10014) 2025-08-20 20:13:15 +00:00
Sebastian Ullrich
679df58329 chore: revert "chore: make USE_LAKE the default" (#10011)
Reverts leanprover/lean4#10003, which broke the merge queue's breakage
check
2025-08-20 19:52:57 +00:00
Leonardo de Moura
d604c16c0e feat: nonlinear / and % support in grind cutsat (#10010)
This PR improves support for nonlinear `/` and `%` in `grind cutsat`.
For example, given `a / b`, if `cutsat` discovers that `b = 2`, it now
propagates that `a / b = b / 2`. This PR is similar to #9996, but for
`/` and `%`. Example:

```lean
example (a b c d : Nat)
    : b > 1 → d = 1 → b ≤ d + 1 → a % b = 1 → a = 2 * c → False := by
  grind
```
2025-08-20 19:31:31 +00:00
Sebastian Ullrich
44891fe0c0 chore: make USE_LAKE the default (#10003) 2025-08-20 19:24:10 +00:00
Kyle Miller
ee699518fa fix: have #eval save the info context (#10008)
This PR fixes a bug in `#eval` where clicking on the evaluated
expression could show errors in the Infoview. This was caused by `#eval`
not saving the temporary environment that is used when elaborating the
expression.
2025-08-20 17:49:09 +00:00
Joachim Breitner
1b213835e6 fix: #print attributes in the right order (#10007)
This PR lets #print print `private` before `protected`, matching the
syntax.
2025-08-20 15:34:55 +00:00
Paul Reichert
22becc78f7 feat: better get-elem tactic for ranges (#9987)
This PR improves the tactic for proving that elements of a `Nat`-based
`PRange` are in-bounds by relying on the `omega` tactic.
2025-08-20 13:42:41 +00:00
Paul Reichert
e083771b81 feat: package factories for order typeclasses based on Ord (#9916)
This PR provides factories that derive order typeclasses in bulk, given
an `Ord` instance. If present, existing instances are preferred over
those derived from `Ord`. It is possible to specify any instance
manually if desired.
2025-08-20 11:14:07 +00:00
Kim Morrison
1a31aa3d2b chore: fewer Nat.bitwise grind attributes for distributivity (#9999)
This PR reduces the number of `Nat.Bitwise` grind annotations we have
the deal with distributivity. The new smaller set encourages `grind` to
rewrite into DNF. The old behaviour just resulted in saturating up to
the instantiation limits.
2025-08-20 05:38:05 +00:00
Leonardo de Moura
86dc07c20d feat: nonlinear monomials in grind cutsat (#9996)
This PR improves support for nonlinear monomials in `grind cutsat`. For
example, given a monomial `a * b`, if `cutsat` discovers that `a = 2`,
it now propagates that `a * b = 2 * b`.
Recall that nonlinear monomials like `a * b` are treated as variables in
`cutsat`, a procedure designed for linear integer arithmetic.

Example:
```lean
example (a : Nat) (ha : a < 8) (b c : Nat) : 2 ≤ b → c = 1 → b ≤ c + 1 → a * b < 8 * b := by
  grind

example (x y z w : Int) : z * x * y = 4 → x = z + w → z = 1 → w = 2 → False := by
  grind
```
2025-08-20 03:16:53 +00:00
Sebastian Ullrich
48365b6052 chore: update stage0 2025-08-19 14:49:12 -07:00
Sebastian Ullrich
d4a5a2c632 fix: local syntax should create private definitions 2025-08-19 14:49:12 -07:00
Sebastian Ullrich
8d34dfe914 chore: CI: make cached Lake primary job (#9401) 2025-08-19 20:43:00 +00:00
Mac Malone
a1cf67edc3 feat: parser alias for visibility (#9974)
This PR registers a parser alias for `Lean.Parser.Command.visibility`.
This avoids having to import `Lean.Parser.Command` in simple command
macros that use visibilities.
2025-08-19 15:20:32 +00:00
Sebastian Ullrich
d0167f7002 chore: show origin module for inaccessible private decls (#9964) 2025-08-19 15:12:09 +00:00
Sebastian Graf
90ef90b462 feat: change extended syntax for mvcgen invariants ... with ... (#9989)
This PR changes the new extended syntax for `mvcgen` to `mvcgen
invariants ... with ...`.
2025-08-19 14:51:19 +00:00
Marc Huisinga
cab46ea3d1 fix: leanOptions in lakefile.toml schema (#9988)
This PR fixes a bug in the `lakefile.toml` schema where it would issue
an invalid validation for multi-layer `leanOptions` .
2025-08-19 14:43:01 +00:00
Paul Reichert
24cafcd65d feat: package factories for order typeclasses (#9797)
This PR provides the means to quickly provide all the order instances
associated with some high-level order structure (preorder, partial
order, linear preorder, linear order). This can be done via the factory
functions `PreorderPackage.ofLE`, `PartialOrderPackage.ofLE`,
`LinearPreorderPackage.ofLE` and `LinearOrderPackage.ofLE`.
2025-08-19 13:43:29 +00:00
nnarek
b75fbe7a40 doc: documentation of p,+ macro should mention that it maps to sepBy1, not sepBy (#9876)
This PR fixes doc issue of p,+ macro,which maps to sepBy1(p, ",") while
doc says that it maps to sepBy(p, ",").

Closes https://github.com/leanprover/lean4/issues/9873
2025-08-19 11:54:47 +00:00
Sebastian Ullrich
cd729660ed chore: allow quoting private names from inside public scope (#9985) 2025-08-19 09:07:48 +00:00
Paul Reichert
f81236185c feat: integrate high-level order typeclasses with BEq and Ord (#9908)
This PR makes `IsPreorder`, `IsPartialOrder`, `IsLinearPreorder` and
`IsLinearOrder` extend `BEq` and `Ord` as appropriate, adds the
`LawfulOrderBEq` and `LawfulOrderOrd` typeclasses relating `BEq` and
`Ord` to `LE`, and adds many lemmas and instances.

Note: This PR contains a refactoring where `Init.Data.Ord` is moved to
`Init.Data.Ord.Basic`. If I added `Init.Data.Ord` simply importing all
submodules, git would not be able to determine that `Init.Data.Ord` was
renamed to `Init.Data.Ord.Basic`. This could lead to unnecessary merge
conflicts in the future. Hence, I chose the name `Init.Data.OrdRoot`
instead of `Init.Data.Ord` temporarily. After this PR, I will rename
this module back to `Init.Data.Ord` in a separate PR.

(This is a copy of #9430: I will not touch that PR because it currently
allows to debug a CI problem and pushing commits might break the
reproducibility.)
2025-08-19 07:54:53 +00:00
Kyle Miller
7fa1a8b114 chore: eliminate uses of intros x y z (#9983)
This PR eliminates uses of `intros x y z` (with arguments) and updates
the `intros` docstring to suggest that `intro x y z` should be used
instead. The `intros` tactic is historical, and can be traced all the
way back to Lean 2, when `intro` could only introduce a single
hypothesis. Since 2020, the `intro` tactic has superceded it. The
`intros` tactic (without arguments) is currently still useful.
2025-08-19 06:09:13 +00:00
Cameron Zwarich
8536fe5aa9 refactor: split handling of normal fvars and join points in toIR (#9981)
This makes the representation of lowered fvar values the IR `Arg` type.
2025-08-19 03:44:15 +00:00
Leonardo de Moura
6b24eb474f fix: variable reordering in grind cutsat (#9980)
This PR fixes a bug in the dynamic variable reordering function used in
`grind cutsat`.

Closes #9948
2025-08-19 02:19:50 +00:00
Kim Morrison
de493d761d feat: upstream definition of Rat from Batteries (#9957)
This PR upstreams the definition of Rat from Batteries, for use in our
planned interval arithmetic tactic.

---------

Co-authored-by: Sebastian Ullrich <sebasti@nullri.ch>
2025-08-19 01:58:24 +00:00
Cameron Zwarich
b68f3455d3 refactor: use a separate getter for fvar values in toIR (#9978) 2025-08-19 01:28:15 +00:00
Anne Baanen
f88d35f6c9 chore: add fixed grind tests for Nat and Int ring structure (#9615)
This PR adds two test cases extracted from Mathlib, that `grind` cannot
solve but `omega` can. Originally the multiplication instance came from
`Nat.instSemiring` and `Int.instSemiring`, in minimizing I found that
`Distrib` is already enough.

---------

Co-authored-by: Kim Morrison <kim@tqft.net>
2025-08-19 01:12:44 +00:00
Cameron Zwarich
89752e2242 fix: support compiling casesOn recursors of subsingleton predicates (#9977)
This PR adds support for compilation of `casesOn` recursors of
subsingleton predicates.

Fixes #9963.
2025-08-19 00:23:24 +00:00
Cameron Zwarich
b8fa6f17ee fix: make lcAny-producing arrow types lower to tobj rather than obj (#9972)
This PR fixes an issue when running Mathlib's `FintypeCat` as code,
where an erased type former is passed to a polymorphic function. We were
lowering the arrow type to`object`, which conflicts with the runtime
representation of an erased value as a tagged scalar.
2025-08-18 22:18:26 +00:00
Henrik Böving
2d4bcf202f chore: even more independent benchmarks (#9970) 2025-08-18 18:36:33 +00:00
Sebastian Graf
1b0d83e7fc fix: remove local Triple notation from SpecLemmas.lean to fix stage2 (#9967)
This PR removes local `Triple` notation from SpecLemmas.lean to work
around a bug that breaks the stage2 build.
2025-08-18 16:41:26 +00:00
Wojciech Rozowski
2d52d44710 feat: fixpoint_induct and partial_correctness lemmas for mutual blocks come in conjunction and projected variants (#9651)
This PR modifies the generation of induction and partial correctness
lemmas for `mutual` blocks defined via `partial_fixpoint`. Additionally,
the generation of lattice-theoretic induction principles of functions
via `mutual` blocks is modified for consistency with `partial_fixpoint`.

The lemmas now come in two variants:
1. A conjunction variant that combines conclusions for all elements of
the mutual block. This is generated only for the first function inside
of the mutual block.
2. Projected variants for each function separately

## Example 1
```lean4
axiom A : Type
axiom B : Type

axiom A.toB : A → B
axiom B.toA : B → A

mutual
noncomputable def f : A := g.toA
partial_fixpoint
noncomputable def g : B := f.toB
partial_fixpoint
end
```

Generated `fixpoint_induct` lemmas:
```lean4
f.fixpoint_induct (motive_1 : A → Prop) (motive_2 : B → Prop) (adm_1 : admissible motive_1)
  (adm_2 : admissible motive_2) (h_1 : ∀ (g : B), motive_2 g → motive_1 g.toA)
  (h_2 : ∀ (f : A), motive_1 f → motive_2 f.toB) : motive_1 f

g.fixpoint_induct (motive_1 : A → Prop) (motive_2 : B → Prop) (adm_1 : admissible motive_1)
  (adm_2 : admissible motive_2) (h_1 : ∀ (g : B), motive_2 g → motive_1 g.toA)
  (h_2 : ∀ (f : A), motive_1 f → motive_2 f.toB) : motive_2 g
```

Mutual (conjunction) variant:
```lean4
f.mutual_fixpoint_induct (motive_1 : A → Prop) (motive_2 : B → Prop) (adm_1 : admissible motive_1) (adm_2 : admissible motive_2)
  (h_1 : ∀ (g : B), motive_2 g → motive_1 g.toA) (h_2 : ∀ (f : A), motive_1 f → motive_2 f.toB) :
  motive_1 f ∧ motive_2 g
```

## Example 2 
```lean4
mutual
  def f (n : Nat) : Option Nat :=
    g (n + 1)
  partial_fixpoint

  def g (n : Nat) : Option Nat :=
    if n = 0 then .none else f (n + 1)
  partial_fixpoint
end
```
Generated `partial_correctness` lemmas (in a projected variant):
```lean4
f.partial_correctness (motive_1 motive_2 : Nat → Nat → Prop)
  (h_1 :
    ∀ (g : Nat → Option Nat),
      (∀ (n r : Nat), g n = some r → motive_2 n r) → ∀ (n r : Nat), g (n + 1) = some r → motive_1 n r)
  (h_2 :
    ∀ (f : Nat → Option Nat),
      (∀ (n r : Nat), f n = some r → motive_1 n r) →
        ∀ (n r : Nat), (if n = 0 then none else f (n + 1)) = some r → motive_2 n r)
  (n r✝ : Nat) : f n = some r✝ → motive_1 n r✝

g.partial_correctness (motive_1 motive_2 : Nat → Nat → Prop)
  (h_1 :
    ∀ (g : Nat → Option Nat),
      (∀ (n r : Nat), g n = some r → motive_2 n r) → ∀ (n r : Nat), g (n + 1) = some r → motive_1 n r)
  (h_2 :
    ∀ (f : Nat → Option Nat),
      (∀ (n r : Nat), f n = some r → motive_1 n r) →
        ∀ (n r : Nat), (if n = 0 then none else f (n + 1)) = some r → motive_2 n r)
  (n r✝ : Nat) : g n = some r✝ → motive_2 n r✝
```

Mutual (conjunction) variant:
```
f.mutual_partial_correctness (motive_1 motive_2 : Nat → Nat → Prop)
  (h_1 :
    ∀ (g : Nat → Option Nat),
      (∀ (n r : Nat), g n = some r → motive_2 n r) → ∀ (n r : Nat), g (n + 1) = some r → motive_1 n r)
  (h_2 :
    ∀ (f : Nat → Option Nat),
      (∀ (n r : Nat), f n = some r → motive_1 n r) →
        ∀ (n r : Nat), (if n = 0 then none else f (n + 1)) = some r → motive_2 n r) :
  (∀ (n r : Nat), f n = some r → motive_1 n r) ∧ ∀ (n r : Nat), g n = some r → motive_2 n r
```
2025-08-18 15:26:30 +00:00
Kyle Miller
af5322c7ef feat: tactic info per intro hypothesis, rfl pattern (#9942)
This PR modifies `intro` to create tactic info localized to each
hypothesis, making it possible to see how `intro` works
variable-by-variable. Additionally:
- The tactic supports `intro rfl` to introduce an equality and
immediately substitute it, like `rintro rfl` (recall: the `rfl` pattern
is like doing `intro h; subst h`). The `rintro` tactic can also now
support `HEq` in `rfl` patterns if `eq_of_heq` applies.
- In `intro (h : t)`, elaboration of `t` is interleaved with unification
with the type of `h`, which prevents default instances from causing
unification to fail.
- Tactics that change types of hypotheses (including `intro (h : t)`,
`delta`, `dsimp`) now update the local instance cache.

In `intro x y z`, tactic info ranges are `intro x`, `y`, and `z`. The
reason for including `intro` with `x` is to make sure the info range is
"monotonic" while adding the first argument to `intro`.
2025-08-18 13:55:06 +00:00
Kyle Miller
3af9cc3f6f doc: extend docstrings for let/have tactics (#9956)
This PR adds additional information to the `let` and `have` tactic
docstrings about opaqueness, when to use each, and associated tactics.
2025-08-18 13:48:08 +00:00
Rob23oba
688b930bad feat: tree map lemmas for filter, map, filterMap (#9632)
This PR adds lemmas for the `TreeMap` operations `filter`, `map` and
`filterMap`. These lemmas existed already for hash maps and are simply
ported over from there.
2025-08-18 12:13:52 +00:00
Tom Levy
04f9baf4d3 fix: remove dependency on LawfulBEq from List.lookup lemmas (#9949)
This PR allows most of the `List.lookup` lemmas to be used when
`LawfulBEq α` is not available.

`LawfulBEq` is very strong. Most of the lemmas don't actually require it
-- some only require `ReflBEq`, and only `List.lookup_eq_some_iff`
actually requires `LawfulBEq`.
2025-08-18 10:16:30 +00:00
Johannes Tantow
19301f83eb feat: verify toArray for hash maps (#9685)
This PR verifies `toArray` and related functions for hashmaps.
2025-08-18 09:39:44 +00:00
Markus Himmel
2e6c1a74e5 chore: move String.Pos operations out of Prelude (#9845)
This PR moves arithmetic of `String.Pos` out of the prelude.

Other `String` declarations are part of the prelude because they are
generated by macros, but this does not seem to be the case for these.
2025-08-18 09:23:02 +00:00
Henrik Böving
e4be2b2cad chore: make perf tests more independent of external factors (#9960) 2025-08-18 08:45:23 +00:00
Henrik Böving
48a8dd4a56 fix: print mathlib toolchain URL properly (#9962)
This PR makes lake print the error message it intended for when fetching
the mathlib toolchain
fails.
2025-08-18 08:11:50 +00:00
Sebastian Ullrich
a805e7e12c chore: avoid turning accesses to private decs from public signatures into auto implicits (#9961) 2025-08-18 08:01:12 +00:00
Jason Yuen
3c702f38ee chore: add a missing backtick (#9959)
This PR adds a backtick and fixes the docs for `section`.
2025-08-18 07:48:05 +00:00
Lean stage0 autoupdater
fe90da5a8d chore: update stage0 2025-08-18 05:25:50 +00:00
Kyle Miller
fd926cc44e feat: clean up type annotations when elaborating declaration bodies (#9674)
This PR cleans up `optParam`/`autoParam`/etc. annotations before
elaborating definition bodies, theorem bodies, `fun` bodies, and `let`
function bodies. Both `variable`s and binders in declaration headers are
supported.

There are no changes to `inductive`/`structure`/`axiom`/etc. processing,
just `def`/`theorem`/`example`/`instance`.
2025-08-18 04:43:20 +00:00
Leonardo de Moura
f5bab3c8ba feat: grind cutsat equations in solved form (#9958)
This PR ensures that equations in the `grind cutsat` module are
maintained in solved form. That is, given an equation `a*x + p = 0` used
to eliminate `x`, the linear polynomial `p` must not contain other
eliminated variables. Before this PR, equations were maintained in
triangular form. We are going to use the solved form to linearize
nonlinear terms.
2025-08-18 01:34:37 +00:00
Leonardo de Moura
973885d087 chore: remove NullCert leftovers (#9955) 2025-08-18 00:07:23 +00:00
Lean stage0 autoupdater
1aa59f5579 chore: update stage0 2025-08-17 23:48:38 +00:00
Leonardo de Moura
a4496a4a6b chore: remove grind +ringNull option (#9954)
This PR removes the option `grind +ringNull`. It provided an alternative
proof term construction for the `grind ring` module, but it was less
effective than the default proof construction mode and had effectively
become dead code.
This PR also optimizes semiring normalization proof terms using the
infrastructure added in #9946.
**Remark:** After updating stage0, we can remove several background
theorems from the `Init/Grind` folder.
2025-08-17 23:04:59 +00:00
Lean stage0 autoupdater
84fecdc042 chore: update stage0 2025-08-17 16:58:21 +00:00
Sebastian Ullrich
81a4b0ca99 chore: fix failing mk*Sorry in bootstrapping contexts (#9950) 2025-08-17 16:14:53 +00:00
Leonardo de Moura
6f7dba167a feat: trim grind linarith proof context (#9947)
This PR optimizes the proof terms produced by `grind linarith`. It is
similar to #9945, but for the `linarith` module in `grind`.
It removes unused entries from the context objects when generating the
final proof, significantly reducing the amount of junk in the resulting
terms.
2025-08-17 05:32:40 +00:00
Leonardo de Moura
0cc0de9e51 feat: trim grind ring proof context (#9946)
This PR optimizes the proof terms produced by `grind ring`. It is
similar to #9945, but for the ring module in `grind`.
It removes unused entries from the context objects when generating the
final proof, significantly reducing the amount of junk in the resulting
terms. Example:
```lean
/--
trace: [grind.debug.proof] fun h h_1 h_2 h_3 =>
      Classical.byContradiction fun h_4 =>
        let ctx := RArray.branch 1 (RArray.leaf x) (RArray.leaf x⁻¹);
        let e_1 := (Expr.var 0).mul (Expr.var 1);
        let e_2 := Expr.num 0;
        let e_3 := Expr.num 1;
        let e_4 := (Expr.var 0).pow 2;
        let m_1 := Mon.mult (Power.mk 1 1) Mon.unit;
        let m_2 := Mon.mult (Power.mk 0 1) Mon.unit;
        let p_1 := Poly.num (-1);
        let p_2 := Poly.add (-1) (Mon.mult (Power.mk 0 1) Mon.unit) (Poly.num 0);
        let p_3 := Poly.add 1 (Mon.mult (Power.mk 0 2) Mon.unit) (Poly.num 0);
        let p_4 := Poly.add 1 (Mon.mult (Power.mk 0 1) (Mon.mult (Power.mk 1 1) Mon.unit)) (Poly.num (-1));
        let p_5 := Poly.add 1 (Mon.mult (Power.mk 0 1) Mon.unit) (Poly.num 0);
        one_eq_zero_unsat ctx p_1 (eagerReduce (Eq.refl true))
          (Stepwise.simp ctx 1 p_4 (-1) m_1 p_5 p_1 (eagerReduce (Eq.refl true))
            (Stepwise.core ctx e_1 e_3 p_4 (eagerReduce (Eq.refl true)) (diseq0_to_eq x h_4))
            (Stepwise.mul ctx p_2 (-1) p_5 (eagerReduce (Eq.refl true))
              (Stepwise.superpose ctx 1 m_2 p_4 (-1) m_1 p_3 p_2 (eagerReduce (Eq.refl true))
                (Stepwise.core ctx e_1 e_3 p_4 (eagerReduce (Eq.refl true)) (diseq0_to_eq x h_4))
                (Stepwise.core ctx e_4 e_2 p_3 (eagerReduce (Eq.refl true)) h))))
-/
#guard_msgs in -- Context should contains only `x` and its inverse.
set_option trace.grind.debug.proof true in
set_option pp.structureInstances false in
open Lean Grind CommRing in
example [Field α] (x y z w : α) :
   x^2 = 0 → y^2 = 0 → z^3 = 0 → w^2 = 0 → x = 0 := by
  grind
```
2025-08-17 04:44:47 +00:00
Leonardo de Moura
010468699f feat: trim grind cutsat proof context (#9945)
This PR optimizes the proof terms produced by `grind cutsat`. It removes
unused entries from the context objects when generating the final proof,
significantly reducing the amount of junk in the resulting terms.
Example:
```lean
/--
trace: [grind.debug.proof] fun h h_1 h_2 h_3 h_4 h_5 h_6 h_7 h_8 =>
      let ctx := RArray.leaf (f 2);
      let p_1 := Poly.add 1 0 (Poly.num 0);
      let p_2 := Poly.add (-1) 0 (Poly.num 1);
      let p_3 := Poly.num 1;
      le_unsat ctx p_3 (eagerReduce (Eq.refl true)) (le_combine ctx p_2 p_1 p_3 (eagerReduce (Eq.refl true)) h_8 h_1)
-/
#guard_msgs in -- Context should contain only `f 2`
open Lean Int Linear in
set_option trace.grind.debug.proof true in
example (f : Nat → Int) :
    f 1 <= 0 → f 2 <= 0 → f 3 <= 0 → f 4 <= 0 → f 5 <= 0 → 
    f 6 <= 0 → f 7 <= 0 → f 8 <= 0 → -1 * f 2 + 1 <= 0 → False := by
  grind
```
2025-08-17 02:53:19 +00:00
Sebastian Ullrich
4a6004b8fa perf: use Lean.realizeValue in getFunInfo (#9810) 2025-08-16 15:02:29 +00:00
Sebastian Graf
c6df4a4a89 fix: delegate to exact in mvcgen using invariants to avoid MVar mishaps (#9939)
This PR expands `mvcgen using invariants | $n => $t` to `mvcgen; case
inv<$n> => exact $t` to avoid MVar instantiation mishaps observable in
the test case for #9581.

Closes #9581.
2025-08-16 09:40:42 +00:00
Sebastian Graf
ee4cbbeb14 fix: remove duplicate mpure_intro tactic definition (#9938)
This PR removes a duplicate `mpure_intro` tactic definition.
2025-08-16 09:19:07 +00:00
Cameron Zwarich
0e968f010a chore: fix indentation (#9936) 2025-08-16 05:30:36 +00:00
Lean stage0 autoupdater
b0d42e6ac9 chore: update stage0 2025-08-16 02:17:49 +00:00
Sebastian Graf
df898a5c87 chore: make test mvcgenUsingWith deterministic (#9933) 2025-08-15 17:57:55 +00:00
Sebastian Graf
bdc9124228 feat: implement Std.Do.Triple.mp (#9931)
This PR implements `Std.Do.Triple.mp`, enabling users to compose two
specifications for the same program.
2025-08-15 17:44:15 +00:00
Leonardo de Moura
aad98fe749 fix: revert Nat.sub embedding into Int (#9930)
This PR reverts the way `grind cutsat` embeds `Nat.sub` into `Int`. It
fixes a regression reported by David Renshaw on Zulip.


https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/v4.2E23.2E0/near/534646557
2025-08-15 16:06:31 +00:00
Sebastian Ullrich
506d16a603 chore: complete riscv_ast benchmark (#9928) 2025-08-15 14:39:25 +00:00
Sebastian Graf
9e1d97c261 feat: extended using invariants and with syntax for mvcgen (#9927)
This PR implements extended `induction`-inspired syntax for `mvcgen`,
allowing optional `using invariants` and `with` sections.

```lean
  mvcgen
  using invariants
  | 1 => Invariant.withEarlyReturn
      (onReturn := fun ret seen => ⌜ret = false ∧ ¬l.Nodup⌝)
      (onContinue := fun traversalState seen =>
        ⌜(∀ x, x ∈ seen ↔ x ∈ traversalState.prefix) ∧ traversalState.prefix.Nodup⌝)
  with mleave -- mleave is a no-op here, but we are just testing the grammar
  | vc1 => grind
  | vc2 => grind
  | vc3 => grind
  | vc4 => grind
  | vc5 => grind
```
2025-08-15 12:25:01 +00:00
Lean stage0 autoupdater
4c562fc1a3 chore: update stage0 2025-08-15 12:21:02 +00:00
Sebastian Ullrich
415a58f9fb chore: warn on [expose] on private definition (#9917) 2025-08-15 11:31:33 +00:00
Sebastian Graf
85ba133df0 fix: better ProofMode/Delab (#9926)
This PR guards the `Std.Tactic.Do.MGoalEntails` delaborator by a check
ensuring that there are at least 3 arguments present, preventing
potential panics.
2025-08-15 08:36:34 +00:00
Kim Morrison
3ee8d35031 chore: begin dev cycle for v4.24.0 (#9925) 2025-08-15 08:02:04 +00:00
Sebastian Graf
45fbe4a73d fix: documentated examples for PostCond, move around tests (#9924)
This PR fixes examples in the documentation for `PostCond`.
2025-08-15 07:59:33 +00:00
Sofia Rodrigues
287b173844 fix: background function and forIn (#9560)
This PR fixes the `forIn` function, that previously caused the resulting
Promise to be dropped without a value when an exception was thrown
inside of it. It also corrects the parameter order of the `background`
function.
2025-08-15 02:39:57 +00:00
Cameron Zwarich
05c1ba291d fix: erase dependencies on let-bound fvars in internalizeCode (#9922)
This PR changes `internalizeCode` to replace all substitutions with
non-param-bound fvars in `Expr`s (which are all types) with `lcAny`,
preserving the invariant that there are no such dependencies. The
violation of this invariant across files caused test failures in a
pending PR, but it is difficult to write a direct test for it. In the
future, we should probably change the LCNF checker to detect this.

This change also speeds up some compilation-heavy benchmarks much more
than I would've expected, which is a pleasant surprise. This indicates
we might get more speedups from reducing the amount of type information
we preserve in LCNF.
2025-08-15 01:52:47 +00:00
Sebastian Ullrich
15a065d14d fix: panic in delabPRange (#9920)
This PR fixes a panic in the delaborator for `Std.PRange`. It also
modifies the delaborators for both `Std.Range` and `Std.PRange` to not
use `let_expr`, which cleans up annotations and metadata, since
delaborators must follow the structures of expressions. It adds support
for `pp.notation` and `pp.explicit` options. It also adds tests for
these delaborators.

---------

Co-authored-by: Kim Morrison <kim@tqft.net>
Co-authored-by: Kyle Miller <kmill31415@gmail.com>
2025-08-15 01:50:23 +00:00
Kim Morrison
35a753dc98 fix: panic in ProofMode/Delab (#9923)
This PR adds a guard for a delaborator that is causing panics in
doc-gen4. This is a band-aid solution for now, and @sgraf812 will take a
look when they're back from leave.
2025-08-15 01:01:12 +00:00
Leonardo de Moura
06d05d1f46 feat: missing grind annotations (#9921)
This PR marks `List.drop_length` and `List.take_length` with `[grind
=]`.
2025-08-14 22:47:42 +00:00
Leonardo de Moura
fe7e0859d5 fix: div/norm normalization assumptions in grind (#9919)
This PR ensures `grind cutsat` does not rely on div/mod terms to have
been normalized. The `grind` preprocessor has normalizers for them, but
sometimes they cannot be applied because of type dependencies.

Closes #9907
2025-08-14 22:28:25 +00:00
Lean stage0 autoupdater
76971a88ff chore: update stage0 2025-08-14 16:21:50 +00:00
Sebastian Ullrich
ddfeca1b1b fix: do not allow access to private primitives in public scope (#9890)
This PR addresses a missing check in the module system where private
names that remain in the public environment map for technical reasons
(e.g. inductive constructors generated by the kernel and relied on by
the code generator) accidentally were accessible in the public scope.
2025-08-14 15:34:54 +00:00
Sebastian Ullrich
0ab29c7420 fix: do not show progress bar for checking/compiling helper decls (#9786)
This PR ensures we only show progress bars for computations directly
relevant to users

---------

Co-authored-by: Marc Huisinga <mhuisi@protonmail.com>
2025-08-14 14:46:38 +00:00
Sebastian Ullrich
1ba1424ac3 perf: local metaExt (#9822) 2025-08-14 14:26:12 +00:00
Kim Morrison
c8dae31ba5 feat: review of grind annotations for Option (#9863)
This PR reviews `grind` annotations for `Option`, preferring to use
`@[grind =]` instead of `@[grind]` (and fixing a few problems revealed
by this), and making sure `@[grind =]` theorems are "fully applied".
2025-08-14 11:08:05 +00:00
Lean stage0 autoupdater
49cd03bc29 chore: update stage0 2025-08-14 10:47:52 +00:00
Sebastian Ullrich
6e1451dbd8 fix: duplicate private instance name avoidance under the module system (#9914) 2025-08-14 10:03:41 +00:00
Joachim Breitner
6b3aed29b9 feat: unused simp argument linter to explain false positives around (#9912)
This PR lets the unused simp argument linter explain that the given hint
of removing `←` arguments may be too strong, and that replacing them
with `-` arguments can be needed. Fixes #9909.
2025-08-14 09:54:21 +00:00
Sebastian Graf
34fe6b460c chore: fix docs of mspec (#9913)
Just docs.
2025-08-14 09:49:11 +00:00
Joachim Breitner
62f9de5edf fix: fun_induction to instantiateMVars (#9877)
This PR makes `fun_induction foo` instantiate the MVars in the goal
before searching for suitable applications of foo. Fixes #9844.
2025-08-14 09:42:26 +00:00
Sebastian Graf
0c39a50337 feat: Rename Std.List.Zipper to List.Cursor (#9911)
This PR renames `Std.List.Zipper` to `List.Cursor`, with slight changes
to the implementation (no `reverse`) and use in loop specification
lemmas.
2025-08-14 09:17:54 +00:00
Sebastian Ullrich
535435955b chore: remove broken Nix build (#9910) 2025-08-14 08:31:39 +00:00
Marc Huisinga
93e35dc3da feat: add lakefile.toml json schema (#9871)
This PR adds a JSON schema for `lakefile.toml`. Importantly, this schema
is *not* intended for validating `lakefile.toml`, but is instead
optimized for auto-completion and hovers using the [Even Better
TOML](https://marketplace.visualstudio.com/items?itemName=tamasfe.even-better-toml)
VS Code extension.

Once merged, I will attempt to contribute a link to this schema to the
[JSON Schema store](https://github.com/SchemaStore/schemastore). When
that is done, we can integrate the Lean 4 VS Code extension with Even
Better TOML, providing us with language server support in
`lakefile.toml`.

The schema contributed by this PR has the following known deficiencies:
- Superfluous properties do not produce an error.
- The structure of complicated structures (e.g. path or version
patterns) is deliberately not accurately reflected in the schema. Even
Better TOML doesn't seem to handle these structures well in
auto-completion.
- Due to the lack of an accurate declarative spec of the lakefile.toml
format and several deviations from the format to provide better
auto-completions, this schema will have to be kept in sync manually with
the code in Lake, at least for now.
2025-08-14 07:24:40 +00:00
Leonardo de Moura
05e8c856fa fix: reset decision stack in grind linarith (#9904)
This PR ensures the decision stack is reset after an assignment is found
in `grind linarith`.

Closes #9897
2025-08-14 02:53:01 +00:00
Leonardo de Moura
2e991d3b10 fix: panic at invalid pattern in grind (#9902)
This PR fixes a panic when an invalid pattern is provided to `grind`.

closes #9899
2025-08-14 02:25:37 +00:00
Kim Morrison
f60f946e11 chore: missing doc-strings for grind typeclasses (#9900)
This PR adds some missing doc-strings for grind typeclasses.
2025-08-14 02:15:13 +00:00
Leonardo de Moura
253c10c398 fix: normalize Nat.cast and Int.cast of numerals in grind (#9901)
This PR ensures that `Nat.cast` and `Int.cast` of numerals are
normalized by `grind`.
It also adds a `simp` flag for controlling how bitvector literals are
represented. By default, the bitvector simprocs use `BitVec.ofNat`. This
representation is problematic for the `grind ring` and `grind cutsat`
modules. The new flag allows the use of `OfNat.ofNat` and `Neg.neg` to
represent literals, consistent with how they are represented for other
commutative rings.

Closes #9321
2025-08-14 02:04:55 +00:00
Leonardo de Moura
f8c743e37d feat: consider all singleton patterns in local forall expressions in grind (#9896)
This PR improves the heuristic used to select patterns for local
`forall` expressions occurring in the goal being solved by `grind`. It
now considers all singleton patterns in addition to the selected
multi-patterns. Example:
```lean
example (p : Nat → Prop) (h₁ : x < n) (h₂ : ¬ p x) : ∃ i, i < n ∧ ¬ p i := by
  grind
```
2025-08-13 18:45:29 +00:00
Sebastian Graf
f80274be6b fix: Rename M.by_wp lemmas according to naming convention (#9894)
This PR renames `M.by_wp` lemmas to `M.of_wp_*`.
2025-08-13 16:56:07 +00:00
Sebastian Graf
d93cdde938 feat: Aggressively eta expand before applying a spec in mvcgen (#9888)
This PR makes `mvcgen` aggressively eta-expand before trying to apply a
spec. This ensures that `mspec` will be able to frame hypotheses
involving uninstantiated loop invariants in goals for the inductive step
of a loop instead of losing them in a destructive world update.
2025-08-13 15:53:48 +00:00
Sebastian Ullrich
640337e0a0 chore: error on [macro_inline] without [expose] (#9891) 2025-08-13 10:57:48 +00:00
Sebastian Graf
55f9dfad7d feat: More grind annotations for List.range' (#9766)
This PR moves `List.range'_elim` to `List.eq_of_range'_eq_append_cons`
and adds a couple of `grind` annotations for `List.range'`. This will
make it more convenient to work with proof obligations produced by
`mvcgen`.
2025-08-13 09:27:48 +00:00
Sebastian Graf
b9a8dd8f0d feat: simp and grind rules for ExceptConds (#9889)
This PR adds `simp` and `grind` rules for
`ExceptCond.{const,true,false}`.
2025-08-13 08:11:22 +00:00
Sebastian Graf
f973e855e0 feat: Make mrefine reduce applications of SPred.and (#9887)
This PR makes `mrefine` reduce applications of `SPred.and`.
2025-08-13 07:50:17 +00:00
Kim Morrison
93e0ebf25c feat: make Lean.Grind.Preorder a mixin (#9885)
This PR is initially motivated by noticing `Lean.Grind.Preorder.toLE`
appearing in long Mathlib typeclass searches; this change will prevent
these searches. These changes are also helpful preparation for
potentially dropping the custom `Lean.Grind.*` typeclasses, and unifying
with the new typeclasses introduced in #9729.
2025-08-13 05:02:39 +00:00
Leonardo de Moura
21fa5d10f4 chore: move tests that are working (#9884) 2025-08-13 00:46:54 +00:00
Leonardo de Moura
0046b8b4bb feat: warning based on patterns for grind (#9883)
This PR refines the warning message for redundant `grind` arguments. It
is not based on the actual inferred pattern instead provided kind.
2025-08-13 00:42:09 +00:00
Cameron Zwarich
639baaaa03 refactor: adopt do notation (#9882) 2025-08-12 22:12:59 +00:00
Cameron Zwarich
6f7ca5e5d3 refactor: take more advantage of anonymous constructors (#9881) 2025-08-12 21:19:40 +00:00
Lean stage0 autoupdater
5210cdf43f chore: update stage0 2025-08-12 21:07:52 +00:00
Leonardo de Moura
072e3e89e3 fix: local forall activation in grind (#9880)
This PR ensures a local forall is activated at most once per pattern in
`grind`.
2025-08-12 19:49:05 +00:00
Leonardo de Moura
6e18afac8c feat: kernel hint for proof-by-reflection (#9865)
This PR adds improved support for proof-by-reflection to the kernel type
checker. It addresses the performance issue exposed by #9854. With this
PR, whenever the kernel type-checks an argument of the form `eagerReduce
_`, it enters "eager-reduction" mode. In this mode, the kernel is more
eager to reduce terms. The new `eagerReduce _` hint is often used to
wrap `Eq.refl true`. The new hint should not negatively impact any
existing Lean package.

---------

Co-authored-by: Joachim Breitner <mail@joachim-breitner.de>
2025-08-12 19:24:47 +00:00
Sebastian Ullrich
a9145d3312 fix: do not block in snapshot reporter when creating ilean update (#9784)
This PR ensures the editor progress bar better reflects the actual
progress of parallel elaboration.
2025-08-12 16:08:59 +00:00
Leonardo de Moura
5801dff9ea chore: Eq.refl (#9878) 2025-08-12 15:34:29 +00:00
Leonardo de Moura
54dce214d1 fix: nondeterminism in grind ring (#9867)
This PR fixes a nondeterministic behavior in `grind ring`.

Closes #9825
2025-08-12 15:27:39 +00:00
Sebastian Graf
e5bb854748 feat: Add delaborator for Std.PRange notation (#9850)
This PR add a delaborator for `Std.PRange` notation.
2025-08-12 08:51:27 +00:00
Cameron Zwarich
e9df183e87 perf: avoid ref count increments for borrowed array accesses (#9866) 2025-08-12 05:27:35 +00:00
Lean stage0 autoupdater
954957c456 chore: update stage0 2025-08-12 05:06:58 +00:00
Cameron Zwarich
dfc8e38a21 feat: add array access functions that return a borrowed result (#9864)
This PR adds new variants of `Array.getInternal` and
`Array.get!Internal` that return their argument borrowed, i.e. without a
reference count increment. These are intended for use by the compiler in
cases where it can determine that the array will continue to hold a
valid reference to the element for the returned value's lifetime.

In the future, this will likely be replaced by a return value borrow
annotation, in which case the special variant of the functions could be
removed, with the compiler inserting an extra `inc` in the non-borrow
cases.
2025-08-12 04:25:14 +00:00
Cameron Zwarich
bf348ae60f refactor: use more helper functions (#9862) 2025-08-11 23:56:50 +00:00
Leonardo de Moura
4df4968538 fix: grind theorem activation (#9860)
This PR fixes E-matching theorem activation in `grind`.

Fixes #9856
2025-08-11 22:59:35 +00:00
Cameron Zwarich
ca05569cd5 refactor: rename VarProjInfo to DerivedValInfo (#9859)
We want to use this for non-projections in the near future.
2025-08-11 22:02:28 +00:00
Leonardo de Moura
a157abbbc9 fix: E-matching patterns containing ground universe polymorphic patterns in grind (#9857)
This PR ensures `grind` can E-match patterns containing universe
polymorphic ground sub-patterns. For example, given
```
set_option pp.universes true in
attribute [grind?] Id.run_pure
```
the pattern
```
Id.run_pure.{u_1}: [@Id.run.{u_1} #1 (@pure.{u_1, u_1} `[Id.{u_1}] `[Applicative.toPure.{u_1, u_1}] _ #0)]
```
contains two nested universe polymorphic ground patterns
- `Id.{u_1}`
- `Applicative.toPure.{u_1, u_1}`

This kind of pattern is not common, but it occurs in core.
2025-08-11 21:12:57 +00:00
Leonardo de Moura
5abf4bb651 fix: additional numeral normalization in grind (#9853)
This PR adds `Nat` and `Int` numeral normalizers in `grind`.

closes #9828
2025-08-11 19:13:17 +00:00
Leonardo de Moura
7ea711e043 fix: remove inShareCommon filter used in grind (#9852)
This PR removes the `inShareCommon` quick filter used in `grind`
preprocessing steps. `shareCommon` is no longer used only for fully
preprocessed terms.

closes #9830
2025-08-11 18:24:13 +00:00
Sebastian Graf
b853166575 feat: Deterministic case labels in mvcgen (#9843)
This PR makes `mvcgen` produce deterministic case labels for the
generated VCs. Invariants will be named `inv<n>` and every other VC will
be named `vc<n>.*`, where the `*` part serves as a loose indication of
provenance.
2025-08-11 14:57:59 +00:00
Paul Reichert
0725349bbd feat: high-level order typeclasses (#9729)
This PR introduces a canonical way to endow a type with an order
structure. The basic operations (`LE`, `LT`, `Min`, `Max`, and in later
PRs `BEq`, `Ord`, ...) and any higher-level property (a preorder, a
partial order, a linear order etc.) are then put in relation to `LE` as
necessary. The PR provides `IsLinearOrder` instances for many core types
and updates the signatures of some lemmas.

**BREAKING CHANGES:**

* The requirements of the `lt_of_le_of_lt`/`le_trans` lemmas for
`Vector`, `List` and `Array` are simplified. They now require an
`IsLinearOrder` instance. The new requirements are logically equivalent
to the old ones, but the `IsLinearOrder` instance is not automatically
inferred from the smaller typeclasses.
* Hypotheses of type `Std.Total (¬ · < · : α → α → Prop)` are replaced
with the equivalent class `Std.Asymm (· < · : α → α → Prop)`. Breakage
should be limited because there is now an instance that derives the
latter from the former.
* In `Init.Data.List.MinMax`, multiple theorem signatures are modified,
replacing explicit parameters for antisymmetry, totality, `min_ex_or`
etc. with corresponding instance parameters.
2025-08-11 14:55:17 +00:00
Sebastian Graf
264e451d3c feat: Add @[spec] lemmas for forIn at Std.PRange (#9848)
This PR adds `@[spec]` lemmas for `forIn` and `forIn'` at `Std.PRange`.
2025-08-11 14:34:34 +00:00
Cameron Zwarich
5b5bb5174b fix: check for recursive decls before instance proj inlining (#9847)
This PR adds a check for reursive decls in this bespoke inlining path,
which fixes a regression from the old compiler.

Fixes #9624.
2025-08-11 13:50:26 +00:00
Sofia Rodrigues
14120a519c fix: replace 'D' with 'd' for day representation in long date format (#9799)
This PR fixes the #9410 issue.
2025-08-11 13:17:34 +00:00
Sebastian Graf
2875e8f277 chore: Add Nodup and Fresh tests to doLogicTests.lean (#9837)
Two test cases that will be added to the reference manual
2025-08-11 09:12:38 +00:00
Sebastian Graf
9a0c1ab2d0 feat: Simpler first-order implementation for pure SPreds (#9841)
This PR migrates the ⌜p⌝ notation for embedding pure p : Prop into SPred
σs to expand into a simple, first-order expression SPred.pure p that can
be supported by e-matching in grind.

Doing so deprives ⌜p⌝ notation of its idiom-bracket-like support for
#selector and ‹Nat›ₛ syntax which is thus removed.
2025-08-11 08:32:16 +00:00
Paul Reichert
f15d531acb refactor: reduce omega's dependency on fvar IDs (#9723)
This PR replaces some `HashSet Expr`-typed collections of facts in
`omega`'s implementation with plain lists. This change makes some
`omega` calls faster, some slower, but the advantage is that `omega`'s
performance is more independent the state of the name generator that
produces fvar IDs.

I've created this PR for discussion and am happy to hear opinions on
whether this should be merged or not. A good reason *not* to merge is
that it causes regressions in some places and `grind` is expected to
supersede `omega` either way. A good reason to merge is that `omega` is
used all over the place and its flaky performance increases the noise in
future benchmarks.
2025-08-11 07:17:24 +00:00
Sebastian Graf
e0fcaf5e7d chore: Naming in Invariant.withEarlyReturn (#9835)
Just a small renaming leftover.
2025-08-11 06:43:30 +00:00
Sebastian Graf
1b78d8f0a3 fix: Rewriting in mvcgen when there are excess arguments to wp (#9834)
This PR fixes a bug in `mvcgen` triggered by excess state arguments to
the `wp` application, a situation which arises when working with
`StateT` primitives.
2025-08-11 06:42:08 +00:00
Sebastian Graf
66772d77fc fix: Work around a DefEq bug in mspec involving delayed assignments (#9833)
This PR works around a DefEq bug in `mspec` involving delayed
assignments.
2025-08-11 06:40:19 +00:00
Sebastian Graf
d64637e8c7 fix: Add simp lemmas SPred.entails_<n> to replace SPred.entails_cons (#9832)
This PR adds simp lemmas `SPred.entails_<n>` to replace
`SPred.entails_cons` which was disfunctional as a simp lemma due to
#8074.
2025-08-11 06:38:33 +00:00
Sebastian Graf
02fa9641fd feat: Add delaborator for Std.Range (#9831)
This PR adds a delaborator for `Std.Range` notation.
2025-08-11 06:36:26 +00:00
Cameron Zwarich
4506173a27 fix: support overapplication of Quot.lift in the compiler (#9827)
This PR changes the lowering of `Quot.lcInv` (the compiler-internal form
of `Quot.lift`) in `toMono` to support overapplication.

Fixes #9806.
2025-08-11 01:51:54 +00:00
Kyle Miller
20eea7372f feat: make delta deriving more robust and handle binders (#9800)
This PR improves the delta deriving handler, giving it the ability to
process definitions with binders, as well as the ability to recursively
unfold definitions. Furthermore, delta deriving now tries all explicit
non-out-param arguments to a class, and it can handle "mixin" instance
arguments. The `deriving` syntax has been changed to accept general
terms, which makes it possible to derive specific instances with for
example `deriving OfNat _ 1` or `deriving Module R`. The class is
allowed to be a pi type, to add additional hypotheses; here is a Mathlib
example:
```lean
def Sym (α : Type*) (n : ℕ) :=
  { s : Multiset α // Multiset.card s = n }
deriving [DecidableEq α] → DecidableEq _
```
This underscore stands for where `Sym α n` may be inserted, which is
necessary when `→` is used. The `deriving instance` command can refer to
scoped variables when delta deriving as well. Breaking change: the
derived instance's name uses the `instance` command's name generator,
and the new instance is added to the current namespace.

This closes
[mathlib4#380](https://github.com/leanprover-community/mathlib4/issues/380).
2025-08-10 21:21:54 +00:00
Mac Malone
79f6bb6f54 refactor: lake: reorganize tests/module (#9824)
This PR reorganizes the directory structure of Lake's module test and
renames some of the files to be more descriptive.

Originally, this was meant to be combined with a fix, but that fix
appears to be incorrect, so this is just a refactor.
2025-08-10 19:16:55 +00:00
Kyle Miller
fc076c5acc fix: get DecidableEq deriving handler to work for enumerations in higher universes (#9818)
This PR fixes a bug where the `DecidableEq` deriving handler did not
take universe levels into account for enumerations (inductive types
whose constructors all have no fields). Closes #9541.
2025-08-10 16:29:02 +00:00
Henrik Böving
44d3cfb3dc chore: stabilize benchmark output (#9820) 2025-08-10 10:53:38 +00:00
Sebastian Ullrich
0985326b2e chore: remove unnecessary withoutExporting use (#9821) 2025-08-10 10:20:31 +00:00
Kyle Miller
cbeef963a9 fix: have unsafe term produce an opaqueDecl (#9819)
This PR makes the `unsafe t` term create an auxiliary opaque
declaration, rather than an auxiliary definition with opaque
reducibility hints.
2025-08-10 09:30:55 +00:00
Cameron Zwarich
544f9912b7 chore: add separate profiling entries for base, mono, and IR phases (#9817) 2025-08-10 05:00:49 +00:00
Cameron Zwarich
361ca788a7 refactor: split the LCNF pass list into separate base/mono lists (#9816)
This will make it easier to run the two phases in parallel.
2025-08-10 04:23:19 +00:00
Leonardo de Moura
68a249d23d perf: normalizeLevels in grind (#9814)
This PR skips the `normalizeLevels` preprocessing step in `grind` when
it is not needed.
2025-08-10 00:51:20 +00:00
Leonardo de Moura
95c8f1f866 fix: unfoldReducible in grind (#9813)
This PR fixes an unexpected bound variable panic in `unfoldReducible`
used in `grind`.
2025-08-10 00:02:05 +00:00
Leonardo de Moura
fa17ea2715 chore: include generation in grind.internalize trace message (#9812) 2025-08-09 23:48:43 +00:00
Sebastian Ullrich
c970c74d66 feat: introduce Lean.realizeValue for sharing computation results between compatible environment branches (#9798)
This PR introduces `Lean.realizeValue`, a new metaprogramming API for
parallelism-aware caching of `MetaM` computations
2025-08-09 17:19:29 +00:00
Leonardo de Moura
479da83f57 feat: grind annotation analyzer (#9809)
This PR adds a script for analyzing `grind` E-matching annotations. The
script is useful for detecting matching loops. We plan to add
user-facing commands for running the script in the future.
2025-08-09 17:14:57 +00:00
Yaël Dillies
feca9e8103 fix: allow trailing comma in the arg list of simp?, dsimp?, simpa, etc (#9804)
This PR allows trailing comma in the argument list of `simp?`, `dsimp?`,
`simpa`, etc... Previously, it was only allowed in the non `?` variants
of `simp`, `dsimp`, `simp_all`.

Closes #7383.
2025-08-09 16:37:30 +00:00
Leonardo de Moura
a041ffa702 chore: remove leftover (#9808) 2025-08-09 15:58:50 +00:00
Sebastian Graf
5eafc080e1 feat: Simplify Std.List.Zipper.pref using mleave (#9807)
This PR adds `Std.List.Zipper.pref` to the simp set of `mleave`.
2025-08-09 15:57:47 +00:00
Sebastian Graf
8558b2d278 feat: Improved API for invariants and postconditions (#9805)
This PR improves the API for invariants and postconditions and as such
introduces a few breaking changes to the existing pre-release API around
`Std.Do`. It also adds Markus Himmel's `pairsSumToZero` example as a
test case.
2025-08-09 14:42:37 +00:00
Cameron Zwarich
756f837f82 perf: reduce redundant inc/dec using "implied borrows" from projections and liveness (#9801)
This PR changes the IR RC pass to take "implied borrows" from
projections into account. If a projected value's lifetime is contained
in that of its parent (or any projection ancestor), then it does not
need its reference count incremented (or later decremented).

I believe that this same technique should generalize to both the
reset/reuse and borrow signature inference passes.
2025-08-09 14:13:50 +00:00
Sebastian Ullrich
0b838ff2c9 chore: update stage0 2025-08-09 12:35:07 +02:00
Sebastian Ullrich
ca43608aa0 feat: allow combining private/public and protected 2025-08-09 12:35:07 +02:00
Rob23oba
ad471b46b8 fix: Inhabited instance of StdGen (#9782)
This PR corrects the `Inhabited` instance of `StdGen` to use a valid
initial state for the pseudorandom number generator. Previously, the
`default` generator had the property that `Prod.snd (stdNext default) =
default`, so it would produce only constant sequences.

[Zulip
discussion](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/inhabited.20instance.20for.20StdGen.20isn't.20very.20random/with/533247146)
2025-08-08 06:23:48 +00:00
Kim Morrison
e6b357e87a chore: @[expose] List.mapIdxM (#9794) 2025-08-08 04:55:50 +00:00
Kim Morrison
b676fb1164 fix: @[expose] String.firstDiffPos and String.extract (#9792)
This PR adds `@[expose]` to two definitions with `where` clauses that
Batteries proves theorems about.
2025-08-08 04:55:45 +00:00
Kim Morrison
ca68b84623 chore: @[expose] List.filterMapTR (#9793)
This PR adds `@[expose]`, as Batteries wants access to the `where`
clause.
2025-08-08 04:55:38 +00:00
Kim Morrison
d6bc78dcb8 feat: split out Expr.getMVarDependencies from MVarId.getMVarDependencies (#9785)
This PR splits out an implementation detail of
MVarId.getMVarDependencies into a top-level function. Aesop was relying
on the function defined in the where clause, which is no longer possible
after #9759.
2025-08-08 00:28:30 +00:00
Cameron Zwarich
2104fd7da9 chore: remove unused default (#9791) 2025-08-07 16:27:23 +00:00
Kyle Miller
c801a9e8cf feat: use the metavariable index when pretty printing (#9778)
This PR modifies the pretty printing of anonymous metavariables to use
the index rather than the internal name. This leads to smaller numerical
suffixes in `?m.123` since the indices are numbered within a given
metavariable context rather than across an entire file, hence each
command gets its own numbering. This does not yet affect pretty printing
of universe level metavariables.

For debugging purposes, metavariables that are not defined now pretty
print as `?_mvar.123` rather than cause pretty printing to fail.
2025-08-07 15:58:51 +00:00
Sebastian Ullrich
c9a6446041 chore: CI: include tests in rebootstrap check (#9788) 2025-08-07 15:37:36 +00:00
Cameron Zwarich
a2f24fac65 chore: use unreachable! for unreachable cases, not silent fallback (#9790) 2025-08-07 15:23:01 +00:00
Cameron Zwarich
eaec888dc3 refactor: add isPossibleRef/isDefiniteRef fields to RC VarInfo (#9789)
These are the only uses of the existing `type` field, so we might as
well compute them up-front and store them.
2025-08-07 14:21:19 +00:00
Sebastian Graf
69d8cca38a feat: Add a simp lemma for PostCond.const (#9787)
This PR adds a simp lemma `PostCond.const_apply`.
2025-08-07 13:15:22 +00:00
Sebastian Graf
04a3968206 chore: Move withFreshUserNames to Lean/Meta/Basic.lean (#9783)
This PR generalizes and moves `withFreshUserNames` to
Lean/Meta/Basic.lean where it can be reused.
2025-08-07 10:27:52 +00:00
Sebastian Graf
ae699a6b13 fix: proper hygiene for goals generated by mvcgen (#9781)
This PR ensures that `mvcgen` is hygienic. The goals it generates should
now introduce all locals inaccessibly.
2025-08-07 09:33:06 +00:00
Kim Morrison
9257ef42ba feat: extend grind category theory tests (#9780)
This PR extends the test suite for `grind` working category theory, to
help debug outstanding problems in Mathlib.
2025-08-07 05:56:42 +00:00
Kim Morrison
63f899a407 chore: cleanup tests/lean/run/grind_cat (#9779)
Just tidying up and organising into sections, in preparation for
extending to capture problems in Mathlib.
2025-08-07 04:20:39 +00:00
Leonardo de Moura
690cf16aa5 fix: merge simplification and unfolding steps in grind (#9776)
This PR combines the simplification and unfold-reducible-constants steps
in `grind` to ensure that no potential normalization steps are missed.

Closes #9610
2025-08-07 04:15:52 +00:00
Cameron Zwarich
aaf831cd93 perf: don't mark params stored in tagged pointers as borrowed (#9775) 2025-08-07 03:49:23 +00:00
Cameron Zwarich
472a0b4954 refactor: invert and rename RC VarInfo.mustBeConsumed to .inheritsBorrowFromParam (#9777) 2025-08-07 02:04:12 +00:00
Cameron Zwarich
c04323a7d5 perf: use a slightly more refined borrowed param test in RC pass (#9774) 2025-08-07 01:08:32 +00:00
Cameron Zwarich
fac4905e89 chore: fix function body indentation (#9773) 2025-08-07 00:44:43 +00:00
Leonardo de Moura
65e55ac094 fix: projection propagation in grind (#9772)
This PR fixes a bug in the projection over constructor propagator used
in `grind`. It may construct type incorrect terms when a equivalence
class contains heterogeneous equalities.

closes #9769
2025-08-06 21:05:45 +00:00
Cameron Zwarich
f23d24ec7c perf: avoid computing liveness twice for cases in RC pass (#9770) 2025-08-06 18:54:58 +00:00
Cameron Zwarich
e332adf3d5 perf: avoid computing liveness twice for join point decls in RC pass (#9768)
We compute the liveness information for the join point body, so the only
thing that updateJPLiveVarMap should be adding is the binding of the
params, which we can easily do ourselves.

If we supported recursive join points, I believe this would actually be
a correctness issue, but as-is it doesn't affect the output.
2025-08-06 17:34:29 +00:00
Leonardo de Moura
13f00ea8ed fix: equality congruence proofs in grind (#9767)
This PR fixes equality congruence proof terms contructed by `grind`.
2025-08-06 16:40:27 +00:00
Lean stage0 autoupdater
a14e542ecb chore: update stage0 2025-08-06 16:54:50 +00:00
Sébastien Boisgérault
6065f08528 doc: fix "the same as the same as" in the description of |> (#9765)
This PR fixes the documentation of the pipe operator |>, which is
currently (emphasis mine):

> Haskell-like pipe operator `|>`. `x |> f` means **the same as the same
as** `f x`,
> and it chains such that `x |> f |> g` is interpreted as `g (f x)`.
2025-08-06 16:11:08 +00:00
Sebastian Ullrich
d455b05619 fix: panic on duplicate private def in public section (#9761) 2025-08-06 16:09:18 +00:00
Sebastian Ullrich
d49b941ea9 feat: default let rec and where decls to private under the module system (#9759)
Re-lands #9666
2025-08-06 15:53:51 +00:00
Sebastian Graf
478be16fc5 feat: Implement mvcgen +jp to prevent exponential VC blowup (#9736)
This PR implements the option `mvcgen +jp` to employ a slightly lossy VC
encoding for join points that prevents exponential VC blowup incurred by
naïve splitting on control flow.

```lean
def ifs_pure (n : Nat) : Id Nat := do
  let mut x := 0
  if n > 0 then x := x + 1 else x := x + 2
  if n > 1 then x := x + 3 else x := x + 4
  if n > 2 then x := x + 1 else x := x + 2
  if n > 3 then x := x + 1 else x := x + 2
  if n > 4 then x := x + 1 else x := x + 2
  if n > 5 then x := x + 1 else x := x + 2
  return x

theorem ifs_pure_triple : ⦃⌜True⌝⦄ ifs_pure n ⦃⇓ r => ⌜r > 0⌝⦄ := by
  unfold ifs_pure
  mvcgen +jp
  /-
  ...
  h✝⁵ : if n > 0 then x✝⁵ = 0 + 1 else x✝⁵ = 0 + 2
  h✝⁴ : if n > 1 then x✝⁴ = x✝⁵ + 3 else x✝⁴ = x✝⁵ + 4
  h✝³ : if n > 2 then x✝³ = x✝⁴ + 1 else x✝³ = x✝⁴ + 2
  h✝² : if n > 3 then x✝² = x✝³ + 1 else x✝² = x✝³ + 2
  h✝¹ : if n > 4 then x✝¹ = x✝² + 1 else x✝¹ = x✝² + 2
  h✝ : if n > 5 then x✝ = x✝¹ + 1 else x✝ = x✝¹ + 2
  ⊢ x✝ > 0
  -/
  grind
```
2025-08-06 15:21:08 +00:00
Sebastian Graf
26c1ddf104 feat: Add grind annotations for key SPred lemmas (#9757)
This PR adds `grind` annotations for key `Std.Do.SPred` lemmas.
2025-08-06 14:36:34 +00:00
Cameron Zwarich
f759d5dbc1 perf: erase all constructor params in the mono phase (#9764) 2025-08-06 14:23:28 +00:00
Paul Reichert
ea09ffc8ce refactor: restore Subarray.foldl and Subarray.forIn signatures (#9762)
This PR does what #9234 regrettably failed to do: actually reintroduce
the signatures of some `Subarray` functions that are now implemented via
slices (see #9017) in order to ensure backward compatibility and
consistency. With this PR, the old interface is restored. As an added
benefit, `Subarray.forIn` is no longer opaque.
2025-08-06 14:15:54 +00:00
Henrik Böving
6d5ce9b87f refactor: implement IO.waitAny using Lean (#9732)
This PR re-implements `IO.waitAny` using Lean instead of C++. This is to
reduce the size and
complexity of `task_manager` in order to ease future refactorings.

There is an import behavioral change of `IO.waitAny` in this PR.
Consider a situation where we have
two promises `p1`, `p2` and call `IO.waitAny [p1.result!, p2.result!]`
and `p1` resolves instantly.
Previously this would just return the result of `p1` and require nothing
else. With the new
implementation if `p2` is released before being resolved this can cause
a panic, even if
`IO.waitAny` has already finished. I argue that this is reasonable
behavior, given that an
invocation of `result!` promises that the promise will eventually be
resolved.
2025-08-06 13:09:15 +00:00
Lean stage0 autoupdater
24d4353ab2 chore: update stage0 2025-08-06 12:37:09 +00:00
Sebastian Ullrich
822f9e0a80 chore: deriving Hashable under the module system (#9760) 2025-08-06 11:55:53 +00:00
Sebastian Ullrich
09600f2ca4 chore: add lakeprof benchmarks (#9709) 2025-08-06 11:25:45 +00:00
Sebastian Ullrich
42e472ff3f refactor: simplify AddConstAsyncResult.commitCheckEnv use (#9715)
Also gets rid of some artifical `blocked (untracked)` time
2025-08-06 11:24:11 +00:00
Sebastian Ullrich
285d271505 doc: more careful Promise.result! docstring (#9734) 2025-08-06 11:23:43 +00:00
Kim Morrison
dcba6dfa7e chore: failing grind test cases for linarith on ordered fields (#9756) 2025-08-06 09:31:09 +00:00
Sebastian Graf
953a1eefbb feat: Implement mrevert ∀ (#9755)
This PR implements a `mrevert ∀n` tactic that "eta-reduces" the stateful
goal and is adjoint to `mintro ∀x1 ... ∀xn`.
2025-08-06 08:53:54 +00:00
Sebastian Graf
d5331d4150 feat: Make mleave apply at * and improve its simp set (#9581) (#9754)
This PR make `mleave` apply `at *` and improve its simp set in order to
discharge some more trivialities (#9581).

It also improves some documentation.
2025-08-06 08:34:45 +00:00
Sebastian Graf
61ea403bfa fix: Make mvcgen mintro let/have bindings (#9474) (#9507)
This PR makes `mvcgen` `mintro` let/have bindings.

Closes #9474.
2025-08-06 07:30:09 +00:00
Parth Shastri
d5e19f9b28 fix: remove accidental instance for lexOrd (#9739)
This PR removes the `instance` attribute from `lexOrd` that was
accidentally applied in `Std.Classes.Ord.Basic`.
2025-08-06 06:16:57 +00:00
Cameron Zwarich
d8c7c9fdb5 refactor: reduce code duplication (#9753) 2025-08-06 05:38:10 +00:00
Kim Morrison
ed1ca47199 chore: add failing grind cutsat tests (#9751)
Further `grind` cutsat failures relative to `omega`, found using Anne's
tactic analysis tool in Mathlib.
2025-08-06 04:15:34 +00:00
Cameron Zwarich
885b8bcc60 chore: inline a function into its only caller (#9750) 2025-08-06 03:47:38 +00:00
Cameron Zwarich
31e05cd2bd chore: fix typos (#9747) 2025-08-06 00:49:49 +00:00
Cameron Zwarich
7fb72a0081 refactor: rename RC VarInfo.consume field to .mustBeConsumed (#9746) 2025-08-06 00:48:10 +00:00
Mac Malone
f3e3ebba81 refactor: move import validation to parser & Lake (#9716)
This PR moves the validation of cross-package `import all` to Lake and
the syntax validation of import keywords (`public`, `meta`, and `all`)
to the two import parsers.

It also fixes the error reporting of the fast import parser
(`Lean.parseImports`) and adds positions to its errors.
2025-08-05 22:36:54 +00:00
Cameron Zwarich
51b780cd9f chore: rewrite LiveVars in a monadic style (#9745) 2025-08-05 21:49:43 +00:00
Cameron Zwarich
25b0c5af34 chore: don't match on Context (#9744) 2025-08-05 21:32:34 +00:00
Sebastian Ullrich
6ab20e7f03 chore: revert "feat: default let rec and where decls to private under the module system" (#9743)
Stage 2 tests broke, to be fixed tomorrow 

Reverts leanprover/lean4#9666
2025-08-05 21:28:08 +00:00
Cameron Zwarich
6846a5179b chore: reduce code duplication (#9742) 2025-08-05 20:42:56 +00:00
Cameron Zwarich
eb5399445a chore: clean up parens (#9740) 2025-08-05 18:21:38 +00:00
Cameron Zwarich
83c08880a6 chore: use dotted constructor names (#9738) 2025-08-05 17:17:06 +00:00
Cameron Zwarich
172a02557e chore: clean up uses of getters (#9737) 2025-08-05 16:48:35 +00:00
Leonardo de Moura
2d3501be61 feat: constant functions in grind (#9735)
This PR extends the propagation rule implemented in #9699 to constant
functions.
2025-08-05 16:19:51 +00:00
Sebastian Ullrich
d07ec9a19f chore: show @[expose] attribute in #print (#9722) 2025-08-05 15:59:49 +00:00
Cameron Zwarich
ed860dfa23 chore: use better struct literal syntax (#9731) 2025-08-05 14:07:39 +00:00
Henrik Böving
09e8079ea3 fix: U/SIntX BEq handling in bv_decide (#9728)
This PR fixes #9724
2025-08-05 11:43:43 +00:00
Sebastian Ullrich
b42a7780e2 feat: default let rec and where decls to private under the module system (#9666)
This PR addresses an outstanding feature in the module system to
automatically mark `let rec` and `where` helper declarations as private
unless they are defined in a public context such as under `@[expose]`.
2025-08-05 11:41:28 +00:00
Henrik Böving
4ee90bd82f fix: tag S/UInt conversions with int_toBitVec (#9721)
This PR tags more `SInt` and `UInt` lemmas with `int_toBitVec` so
`bv_decide`
can handle casts between them and negation.

This is based on a bug report from
https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/open.20scoped.20UInt64.2ECommRing/near/532485974
2025-08-05 08:30:33 +00:00
Cameron Zwarich
12cd4ca742 fix: remove incorrect error in LCNF's check (#9720)
This PR removes an error which implicitly assumes that the sort of type
dependency between erased types present in the test being added can not
occur. It would be difficult to refine the error using only the
information present in LCNF types, and it is of very little ongoing
value (I don't recall it ever finding an actual problem), so it makes
more sense to delete it.

Fixes #9692.
2025-08-05 04:36:57 +00:00
Cameron Zwarich
713a46cd75 chore: adopt <||> to reduce code duplication (#9719) 2025-08-05 04:13:02 +00:00
Cameron Zwarich
f236328bc3 chore: don't check type of erased arguments in FixedParams analysis (#9602) 2025-08-05 02:41:36 +00:00
Kim Morrison
6e06978961 chore: remove >6 month old deprecations (#9640) 2025-08-05 02:29:15 +00:00
Cameron Zwarich
8edcfbe776 fix: correctly handle non-Nat literal types in LCNF elimDeadBranches (#9703)
This PR changes the LCNF `elimDeadBranches` pass so that it considers
all non-`Nat` literal types to be `⊤`. It turns out that fixing this to
correctly handle all of these types with the current abstract value
representation is surprisingly nontrivial, and it's better to just land
the fix first.
2025-08-05 02:14:07 +00:00
Wojciech Nawrocki
1c60173b69 fix: mark __x patterns as impl details in match and intro (#9702)
This PR fixes an issue in the `match` elaborator where pattern variables
like `__x` would not have the kind `implDetail` in the local context.
Now `kindOfBinderName` is `LocalDeclKind.ofBinderName`.

Zulip discussion
[here](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/Bad.20interaction.20of.20Qq.20with.20grind).

---------

Co-authored-by: Kyle Miller <kmill31415@gmail.com>
2025-08-04 22:54:39 +00:00
Cameron Zwarich
59579bfc3e refactor: remove goBig case from UnreachableBranches.ofNat (#9717)
This case can't meaningfully contribute to the result, because there are
no uses of `Nat` constructors in the `mono` phase.
2025-08-04 19:47:40 +00:00
Leonardo de Moura
7f22c0883b perf: Expr.toPoly in grind (#9714)
This PR adds a version of `CommRing.Expr.toPoly` optimized for kernel
reduction. We use this function not only to implement `grind ring`, but
also to interface the ring module with `grind cutsat`.
2025-08-04 15:30:10 +00:00
Cameron Zwarich
78b941019b refactor: use a state monad rather than combinators for computing free indices (#9711) 2025-08-04 13:55:41 +00:00
Leonardo de Moura
ae728d84f0 perf: proof terms for grind ring and grind cutsat (#9710)
This PR improves some of the proof terms produced by `grind ring` and
`grind cutsat`.
2025-08-04 12:27:11 +00:00
Markus Himmel
3eab35ef22 chore: minor improvements (#9708)
This PR stylistically improves an internal hash map proof and fixes a
typo in the docsting of `String.join`.
2025-08-04 07:12:05 +00:00
Cameron Zwarich
c260435913 refactor: use a state monad rather than combinators for computing max indices (#9707) 2025-08-04 05:15:22 +00:00
Leonardo de Moura
a5351b5c47 perf: add Poy.combine_mul_k (#9706)
This PR combines `Poly.combine_k` and `Poly.mul_k` steps used in the
`grind cutsat` proof terms.
2025-08-04 03:49:08 +00:00
Kim Morrison
718d8acc76 chore: update release_repos.yml (#9705)
This PR updates `release_repos.yml` to reflect that `import-graph` no
longer depends on `batteries`, and reorders the repositories to better
reflect dependencies.
2025-08-04 02:51:41 +00:00
Leonardo de Moura
e8c3c7b5eb perf: grind cutsat proof terms (#9704)
This PR optimizes the proof terms produced by `grind cutsat`. Additional
performance improvements will be merged later.
2025-08-04 02:35:34 +00:00
Sebastian Graf
8f575bf986 fix: Use non-overloading Std.Do.Triple notation in SpecLemmas.lean (#9701)
This PR switches to a non-verloading local `Std.Do.Triple` notation in
SpecLemmas.lean to work around a stage2 build failure.
2025-08-03 16:00:24 +00:00
Leonardo de Moura
cf48c6004d fix: assertion violations at grind checkInvariants (#9700)
This PR fixes assertion violations when `checkInvariants` is enabled in
`grind`
2025-08-03 12:27:26 +00:00
Leonardo de Moura
d0dc5dfd3d feat: propagation for functions with singleton domain in grind (#9699)
This PR adds propagation rules for functions that take singleton types.
This feature is useful for discharging verification conditions produced
by `mvcgen`. For example:

```lean
example (h : (fun (_ : Unit) => x + 1) = (fun _ => 1 + y)) : x = y := by
  grind
```
2025-08-03 12:00:29 +00:00
Joachim Breitner
af473b085a perf: MatchEqs.simpH: do not use contradiction (#9643)
This removes the early call to `contradiction` from `simpH`, and
replaces it with a quick check if the pattern start with different
constructors.

We already call `simpH` quadratically often (unavoidable), so we want it
to be quick. Most common contradictions are found later on, so maybe we
don't want to the expensive `contradiction` tactic to be run early.

May help with #9598.
2025-08-03 06:41:52 +00:00
Mac Malone
9e778f3a61 feat: lake: improve query formatting (#9698)
This PR adjusts the formatting type classes for `lake query` to no
longer require both a text and JSON form and instead work with any
combination of the two. The classes have also been renamed. In addition,
the query formatting of a text module header has been improved to only
produce valid headers.
2025-08-03 05:51:13 +00:00
Mac Malone
52855ce1c1 fix: lake: module lookup by source w/ multiple . (#9697)
This PR fixes the handling in `lake lean` and `lake setup-file` of a
library source file with multiple dots (e.g., `src/Foo.Bar.lean`).
2025-08-03 05:18:59 +00:00
Lean stage0 autoupdater
22000a703a chore: update stage0 2025-08-03 04:34:00 +00:00
Mac Malone
f6f54955fe fix: lake: thin archives for Windows bootstrap only (#9604)
This PR restricts Lake's production of thin archives to only the Windows
core build (i.e., `bootstrap = true`). The unbundled `ar` usually used
for core builds on macOS does not support `--thin`, so we avoid using it
unless necessary.
2025-08-03 03:54:33 +00:00
Cameron Zwarich
1459d17bfd chore: lift redundant markSimplified (#9691) 2025-08-02 23:21:21 +00:00
Sebastian Ullrich
77646f7149 chore: avoid calling into lake twice from CMake build (#9688)
Keeps the output cleaner and save a little time and potential
re-rebuilds
2025-08-02 20:48:45 +00:00
Sebastian Ullrich
1e83f62d31 perf: clarify and granularize access to async env ext state (#9587)
* Have asynchronous environment extensions specify whether they are
manipulate data for declarations from the "outside"/main branch (e.g.
attributes) or from the "inside"/async branch (e.g. data collected from
body elaboration) in order to avoid unnecessary waiting.
* Merge `findStateAsync?` into `getState` via a new, optional
`asyncDecl` parameter.
* Make `mayContainAsync` check an automatic part of `modifyState`.
2025-08-02 17:01:08 +00:00
Joachim Breitner
df9ca20339 perf: create unfolding theorem for wf-rec in one go (#9646)
This PR uses a more simple approach to proving the unfolding theorem for
a function defined by well-founded recursion. Instead of looping a bunch
of tactics, it uses simp in single-pass mode to (try to) exactly undo
the changes done in `WF.Fix`, using a dedicated theorem that pushes the
extra argument in for each matcher (or `casesOn`).

Improves performance for recursive functions with large `match`
statements, as in #9598.
2025-08-02 15:26:02 +00:00
Cameron Zwarich
b60f97cc19 chore: remove unused code in comment (#9687) 2025-08-02 15:18:41 +00:00
Leonardo de Moura
ab946fdf2c feat: clear implDetail local declarations in grind (#9686)
This PR applies `clear` to implementation detail local declarations
during the `grind` preprocessing steps.
2025-08-02 14:28:15 +00:00
Sebastian Ullrich
d9956a9d05 perf: properly specialize through PrefixTree (#9681)
The previous specialize annotations weren't doing anything
2025-08-02 13:59:56 +00:00
Leonardo de Moura
2713c846f1 chore: update tests/lean/grind todo folder (#9683)
Remove examples that we have already moved to `tests/lean/run`, and add
notes for possible fixes.
2025-08-02 13:10:34 +00:00
Leonardo de Moura
3056848819 fix: unfoldReducible' optimization regression in grind (#9682)
This PR fixes a regression introduced by an optimization in the
`unfoldReducible` step used by the `grind` normalizer. It also ensures
that projection functions are not reduced, as they are folded in a later
step.
2025-08-02 12:57:25 +00:00
Leonardo de Moura
08c3f3c236 feat: warn grind redundant parameters (#9679)
This PR produces a warning for redundant `grind` arguments.
2025-08-02 05:37:07 +00:00
Mac Malone
a01eda79e8 feat: lake: build times & --no-build jobs (#9677)
This PR adds build times to each build step of the build monitor (under
`-v` or in CI) and delays exiting on a `--no-build` until after the
build monitor finishes. Thus, a `--no-build` failure will now report
which targets blocked Lake by needing a rebuild.
2025-08-02 04:28:02 +00:00
Leonardo de Moura
f6e19f1f93 fix: nonstandard Nat and Int instances (#9676)
This PR adds normalizers for nonstandard arithmetic instances. The types
`Nat` and `Int` have built-in support in `grind`, which uses the
standard instances for these types and assumes they are the ones in use.
However, users may define their own alternative instances that are
definitionally equal to the standard ones. This PR normalizes such
instances using simprocs. This situation actually occurs in Mathlib.
Example:

```lean
class Distrib (R : Type _) extends Mul R where

namespace Nat

instance instDistrib : Distrib Nat where
  mul := (· * ·)

theorem odd_iff.extracted_1_4 {n : Nat} (m : Nat)
  (hm : n =
    @HMul.hMul _ _ _ (@instHMul Nat instDistrib.toMul)
      2 m + 1) :
    n % 2 = 1 := by
  grind

end Nat
```
2025-08-01 23:48:57 +00:00
Leonardo de Moura
bad582ed45 feat: Fin.val support in grind cutsat (#9675)
This PR adds support for `Fin.val` in `grind cutsat`. Examples:
```lean
example (a b : Fin 2) (n : Nat) : n = 1 → ↑(a + b) ≠ n → a ≠ 0 → b = 0 → False := by
  grind

example (m n : Nat) (i : Fin (m + n)) (hi : m ≤ ↑i) : ↑i - m < n := by
  grind

example {n : Nat} (m : Nat) (i : Fin n) ⦃j : Fin (n + m)⦄
    (this : ↑i + m ≤ ↑j) : ↑j - m < n := by
  grind

example {n : Nat} (i : Fin n) (j : Nat) (hj : j < ↑i) : j < n := by
  grind
```
2025-08-01 22:29:30 +00:00
Leonardo de Moura
18e1cdb7bb fix: user provided ToInt.toInt applications (#9673)
This PR ensures that `grind cutsat` processes `ToInt.toInt` applications
provided by the user. Example:

```lean
open Lean Grind
example (x : Fin 3) : ToInt.toInt x ≠ 0 → ToInt.toInt x ≠ 1 → ToInt.toInt x ≠ 2 → False := by
  grind -ring

example (x y z : Fin 5) : ToInt.toInt (x + z) = ToInt.toInt y → z = 0 → x = y := by
  grind -ring
```
2025-08-01 21:30:54 +00:00
Kyle Miller
aa3e50ee76 chore: revert reversion (#9672)
This PR reverts the test that was re-added #9669, since it remains
flaky.
2025-08-01 20:16:55 +00:00
Leonardo de Moura
eb6cede35d fix: normalize SMul.smul for Semiring and Ring (#9671)
This PR fixes support for `SMul.smul` in `grind ring`. `SMul.smul`
applications are now normalized. Example:
```lean
example (x : BitVec 2) : x - 2 • x + x = 0 := by
  grind
```
2025-08-01 20:16:03 +00:00
Leonardo de Moura
f8cdb03352 fix: add CommRing.Expr.intCast k and CommRing.Expr.natCast k (#9670)
This PR add constructors `.intCast k` and `.natCast k` to
`CommRing.Expr`. We need them because terms such as `Nat.cast (R := α)
1` and `(1 : α)` are not definitionally equal. This is pervaise in
Mathlib for the numerals `0` and `1`.

```lean
import Mathlib

example {α : Type} [AddMonoidWithOne α] : Nat.cast (R := α) 0 = (0 : α) := rfl -- not defeq
example {α : Type} [AddMonoidWithOne α] : Nat.cast (R := α) 1 = (1 : α) := rfl -- not defeq
example {α : Type} [AddMonoidWithOne α] : Nat.cast (R := α) 2 = (2 : α) := rfl -- defeq from here
-- Similarly for everything past `AddMonoidWithOne` in the Mathlib hierarchy, e.g. `Ring`.
```
2025-08-01 19:35:13 +00:00
Kyle Miller
08ff19d973 chore: add code action test back in (#9669)
This PR re-adds the code action test that was reverted in
5b18ea1545, now with more robustness.
2025-08-01 18:41:41 +00:00
Cameron Zwarich
2ea6b5068c chore: make Compiler.findJoinPoints trace messages more useful (#9668) 2025-08-01 17:42:32 +00:00
Paul Reichert
4cd917aa65 chore: make datokrat code owner for iterators, ranges and slices (#9667)
This PR adds some lines for `datokrat` to the `CODEOWNERS` file.
2025-08-01 17:34:43 +00:00
Joachim Breitner
417031fc17 chore: large match statement benchmark (#9665)
This PR adds a benchmark with a large, two-level, not-overlapping match
statement, including the splitter generation.
2025-08-01 15:25:07 +00:00
Sebastian Ullrich
416a8372cd perf: shorten rebuild critical path by 19% (#9626)
This PR adjusts the import graph, primarily of `Lean`, such that the
worst case rebuild time of core (`lean` only) is below 3 minutes on the
speedcenter machine (not captured by benchmark yet).
2025-08-01 11:18:21 +00:00
Henrik Böving
6eaf406305 chore: bump stack limit in benchmark (#9660) 2025-08-01 09:33:39 +00:00
Henrik Böving
009bcf1a27 perf: optimize fuzzyMatching (#9563)
This PR performs some micro optimizations on fuzzy matching for a `~20%`
instructions win.

The three key changes are:
- try to remove some unnecessary allocations of things such as tuples
- change `containsInOrderLower` to use the efficient `get'` and `next'`
primitives. I hope that we can replace these with iterators on strings
in the second half of this quarter
- Do the same thing as clangd and use `Int16` with the `minValue` being
used for "worst score" while this does have the potential to
over/underflow, if the user is working with a score in the 10000s
something weird is certainly going on already (the score usually seems
to be in the 2 digit area based on some).

As an additional bonus, once we finally have unboxed arrays we will get
some additional cache wins on the 16 bit arrays!
2025-08-01 09:11:15 +00:00
Sebastian Ullrich
335c5ca5c8 fix: trace.profiler.output with newer Firefox Profiler (#9659)
This PR fixes compatibility of the `trace.profiler.output` option with
newer versions of Firefox Profiler

Fixes #9473
2025-08-01 09:00:15 +00:00
Sebastian Ullrich
5b18ea1545 chore: remove flaky code action tests (#9658) 2025-08-01 07:58:13 +00:00
Rob23oba
d817fb0ef3 fix: handle NUL bytes in IO functions (#9616)
This PR introduces checks to make sure that the IO functions produce
errors when inputs contain NUL bytes (instead of ignoring everything
after the first NUL byte).
2025-08-01 06:12:53 +00:00
Lean stage0 autoupdater
37bf79b0e2 chore: update stage0 2025-08-01 06:29:07 +00:00
Mario Carneiro
7cdd65d5fb fix: build with libuv pre-1.45.0 (part 2) (#9652)
This PR continues #9644 , fixing the core build when using an older
system libuv.

This only affected users building Lean from scratch, since the lean
binaries we ship as part of toolchains statically link their own copy of
libuv 1.50+.

---------

Co-authored-by: Markus Himmel <markus@lean-fro.org>
2025-08-01 05:53:55 +00:00
Mac Malone
1901e2ecfd fix: lake: use server header for workspace modules (#9559)
This PR changes `lake setup-file` to use the server-provided header for
workspace modules.

This also reverts #9163 as the underlying issue is now fixed.
2025-08-01 05:08:44 +00:00
Kyle Miller
76051ab1fe feat: use name resolution for dot identifier notation (#9634)
This PR modifies dot identifier notation so that `(.a : T)` resolves
`T.a` with respect to the root namespace, like for generalized field
notation. This lets the notation refer to private names, follow aliases,
and also use open namespaces. The LSP completions are improved to follow
how dot ident notation is resolved, but it doesn't yet take into account
aliases or open namespaces.

Closes #9629
2025-08-01 02:27:40 +00:00
Kim Morrison
062ac89c34 chore: failing test cases for grind regressions vs omega (#9656) 2025-08-01 02:19:16 +00:00
jrr6
0c686e09db feat: add explanations for large elimination errors (#9653)
This PR adds error explanations for two common errors caused by large
elimination from `Prop`. To support this functionality, "nested" named
errors thrown by sub-tactics are now able to display their error code
and explanation.
2025-07-31 23:33:38 +00:00
Kyle Miller
4575799f8e chore: library style cleanup (#9654)
This PR cleans up the style of the library in anticipation of a future
PR that requires strict indentation for tactic sequences.
2025-07-31 21:28:59 +00:00
Sebastian Ullrich
271c8ab9cb fix: macros unfolding to multiple commands inside mutual (#9649)
This PR fixes an issue where a macro unfolding to multiple commands
would not be accepted inside `mutual`
2025-07-31 21:00:53 +00:00
jrr6
ee1854a607 feat: note potential discrepancies in deprecation warning (#9606)
This PR adds notes to the deprecation warning when the replacement
constant has a different type, visibility, and/or namespace.

Closes #7993
2025-07-31 16:41:14 +00:00
jrr6
9b186297c7 feat: add conversion-mode clear tactic (#6732)
This PR adds support for the `clear` tactic in conversion mode.

Closes #5734
2025-07-31 16:39:57 +00:00
Joachim Breitner
c8ef2fae1a chore: add #9598 as benchmark (#9642)
This PR adds the example from #9598 as a benchmark.
2025-07-31 15:32:54 +00:00
Sebastian Ullrich
0aba471758 perf: do not export LCNF/IR function summaries under the module system (#9645)
to avoid unexpected rebuilds
2025-07-31 15:23:04 +00:00
Sebastian Ullrich
467d905709 fix: more deriving handlers under the module system (#9647)
This PR fixes further deriving handlers to apply visibilities correctly
2025-07-31 15:00:58 +00:00
jrr6
62f14514da refactor: update built-in tactic error messages (#9633)
This PR updates various error messages produced by or associated with
built-in tactics and adapts their formatting to current conventions.
2025-07-31 14:16:57 +00:00
Lean stage0 autoupdater
5ece18cede chore: update stage0 2025-07-31 14:06:09 +00:00
Markus Himmel
33eac4497b fix: build with libuv pre-1.45.0 (#9644)
This PR fixes the core build when using an older system libuv.

This only affected users building Lean from scratch, since the `lean`
binaries we ship as part of toolchains statically link their own copy of
libuv 1.50+.
2025-07-31 13:18:41 +00:00
Wojciech Rozowski
fa449aab14 feat: add mutual_induct for (co)inductive predicates in mutual blocks (#9628)
This PR introduces a `mutual_induct` variant of the generated
(co)induction proof principle for mutually defined (co)inductive
predicates. Unlike the standard (co)induction principle (which projects
conclusions separately for each predicate), `mutual_induct` produces a
conjunction of all conclusions.

## Example

Given the following mutual definition:

```lean4
mutual
  def f : Prop := g
  coinductive_fixpoint

  def g : Prop := f
  coinductive_fixpoint
end
```

Standard coinduction principles:
```lean4 
f.coind : ∀ (pred_1 pred_2 : Prop), (pred_1 → pred_2) → (pred_2 → pred_1) → pred_1 → f
g.coind : ∀ (pred_1 pred_2 : Prop), (pred_1 → pred_2) → (pred_2 → pred_1) → pred_2 → g
```

New `mutual_induct`principle:
```lean4
f.mutual_induct: ∀ (pred_1 pred_2 : Prop), (pred_1 → pred_2) → (pred_2 → pred_1) → (pred_1 → f) ∧ (pred_2 → g)
```

---------

Co-authored-by: Joachim Breitner <mail@joachim-breitner.de>
2025-07-31 12:39:52 +00:00
Sebastian Ullrich
5f20213876 refactor: minimize Lean.Meta.Tactic.TryThis imports (#9539) 2025-07-31 12:21:48 +00:00
Sebastian Ullrich
28f64e57ae chore: [match_pattern] should enforce [expose] (#9534) 2025-07-31 11:51:47 +00:00
Sebastian Ullrich
5e7c4557f8 refactor: minimize Lean.Meta.Diagnostics imports (#9546) 2025-07-31 08:23:13 +00:00
Joachim Breitner
c517f8fc9e chore: resurrect #8978, #8992, #8973 from bad merge (#9641)
This PR resurrects the changes from #8978, #8992, #8973 which were
accidentally removed by #8996.

Fixes #8962.

---------

Co-authored-by: Wojciech Rozowski <wojciech@lean-fro.org>
2025-07-31 08:04:40 +00:00
jrr6
3a3c816a27 chore: break up universe level error message (#9637)
This PR improves the readability of the "maximum universe level offset
exceeded" error message.
2025-07-30 23:52:53 +00:00
Sebastian Ullrich
b8e801ecad fix: deriving BEq on public inductives with private ctors (#9630)
Make the instance public while the body becomes private
2025-07-30 14:57:17 +00:00
Wojciech Rozowski
7f17970551 feat: generate (co)induction proof principles for mutually (co)inductive predicates (#9358)
This PR adds support for generating lattice-theoretic (co)induction
proof principles for predicates defined via `mutual` blocks using
`inductive_fixpoint`/`coinductive_fixpoint` constructs.

### Key Changes
- The order on product lattices (used to define fixpoints of mutual
blocks) is unfolded.
- Hypotheses in generated principles are curried.
- Conclusions are projected to focus only on the predicate of interest
(rather than being a conjunction of conclusions for all functions
defined in the `mutual` block.

### Example
Given:
```lean4
mutual
    def f : Prop :=
      g
    coinductive_fixpoint

    def g : Prop :=
      f
    coinductive_fixpoint
  end
```
The system now generates these coinduction principles:
```lean4
f.coinduct (pred_1 pred_2 : Prop) (hyp_1 : pred_1 → pred_2) (hyp_2 : pred_2 → pred_1) : pred_1 → f
```
and 
```lean4
g.coinduct (pred_1 pred_2 : Prop) (hyp_1 : pred_1 → pred_2) (hyp_2 : pred_2 → pred_1) : pred_2 → g
```

---------

Co-authored-by: Joachim Breitner <mail@joachim-breitner.de>
2025-07-30 11:18:41 +00:00
Joachim Breitner
0f1fb8bafe chore: improve trace messages around wf_preprocess (#9625)
This PR improves trace messages around wf_preprocess.
2025-07-30 08:16:26 +00:00
Cameron Zwarich
7931e19572 perf: use xType field rather than conservatively recomputing it (#9345) 2025-07-30 04:34:13 +00:00
Kim Morrison
285f0e329f feat: add List/Array/Vector.sum_append_nat (#9622)
This PR adds a missing lemma about `List.sum`, and a grind annotation.

Noticed in @b-mehta's work.
2025-07-30 04:12:04 +00:00
Kim Morrison
9006af4a96 chore: rename Xor to XorOp (#9621)
This PR renames `Xor` to `XorOp`, to match `AndOp`, etc.
2025-07-30 00:51:10 +00:00
Kim Morrison
5f17e3bf15 feat: tweaks to List.Pairwise API (#9620)
This PR adds the separate directions of
`List.pairwise_iff_forall_sublist` as named lemmas.

I want to explore how they could/should be used by `grind` in Mathlib.
2025-07-29 23:47:33 +00:00
Kim Morrison
366b4b2810 feat: Nat.dfold (#7450)
This PR implements `Nat.dfold`, a dependent analogue of `Nat.fold`.
2025-07-29 23:36:47 +00:00
jcreedcmu
e3517f1c86 doc: freshen up Mac OSX build instructions (#9618)
This PR brings the Mac OSX build instructions up to date slightly. (They
currently refer to facts "...as of November 2014...")

- Remove specific OS version number from the title as it is out of date
with respect to filename.

- Nonetheless don't change filename for the sake of not breaking
incoming links.

- Update C++ language version to C++14, which I believe is what is
currently required, based on other platform documentation.

- Bump versions of C++ compilers that seem to be current. I expect the
exact values of these version numbers aren't crucial but maybe good for
the reader calibrating a vague sense of whether their compiler is in the
right ballpark.

- Add `lld` to the homebrew clang instructions, because homebrew changed
the way they package llvm tools, spinning the linker off into its own
package.
2025-07-29 21:42:24 +00:00
jrr6
fa1da03d50 feat: update structure/inductive error messages (#9592)
This PR updates the styling and wording of error messages produced in
inductive type declarations and anonymous constructor notation,
including hints for inferable constructor visibility updates.
2025-07-29 21:27:30 +00:00
Henrik Böving
5c2ae7b414 perf: optimize Name.toString (#9594)
This PR optimizes `Lean.Name.toString`, giving a 10% instruction
benefit.

Crucially this is a breaking change as the old `Lean.Name.toString`
method used to support a method for identifying tokens. This method is
now available as `Lean.Name.toStringWithToken` in order to allow for
specialization of the (highly common) `toString` code path which sets
this function to just return `false`.
2025-07-29 07:20:56 +00:00
David Thrane Christiansen
6ae31ea2d6 chore: simplify docstring for propext (#9593)
This PR simplifies the docstring for `propext` significantly.

The old docstring explained general concepts of axioms that are now
covered in the reference manual, and had a large example that was out of
date and has been subsumed by reference manual content.
2025-07-29 03:51:34 +00:00
Kim Morrison
edade0cea8 chore: add failing grind test about exponents (#9611) 2025-07-29 02:53:43 +00:00
Kim Morrison
969136b0d6 feat: add @[grind =] to Prod.lex_def (#9609)
This PR adds `@[grind =]` to `Prod.lex_def`. Note that `omega` has
special handling for `Prod.Lex`, and this is needed for `grind`'s cutsat
module to achieve parity.
2025-07-29 02:45:02 +00:00
Kim Morrison
1726a61e88 chore: add failing test for grind and BitVec (#9608)
This PR adds a failing test for `grind`, reported by @eric-wieser.

```
example {x : BitVec 2} : x - 2 • x + x = 0 := by
  grind -- fails
```

There are several independent problems here!

1. Cutsat doesn't evaluate `2 ^ 2`:
```
-- [cutsat] Assignment satisfying linear constraints
-- [assign] 「2 ^ 2」 := 0
```

2. We don't normalize `3 * 2 • x` to `6 * x` in the ring solver:
```
-- [ring] Rings ▼
--   [] Ring `BitVec 2` ▼
--     [diseqs] Disequalities ▼
--       [_] ¬2 * x + 3 * 2 • x = 0
```
This should then give a contradiction because the characteristic of
`BitVec 2` is 4.

3. In `Int`, we're not normalizing `*` and `•`:
```
-- [ring] Rings ▼
--   [] Ring `Int` ▼
--     [basis] Basis ▼
--       [_] 2 * ↑x + -1 * ↑(2 • x) + -4 * ((2 * ↑x + -1 * ↑(2 • x)) / 4) + -1 * ((2 * ↑x + -1 * ↑(2 • x)) % 4) = 0
```
2025-07-29 02:03:30 +00:00
Kim Morrison
9399b2ee36 chore: add failing grind test (#9607)
This PR adds a failing grind test.
2025-07-29 01:36:53 +00:00
jrr6
e53f944c83 fix: function field notation errors when head is an fvar (#9595)
This PR improves the error message displayed when writing an invalid
projection on a free variable of function type.
2025-07-28 23:07:02 +00:00
Mac Malone
dbfeb9e2da chore: upload build directory as artifact in cache CI (#9600)
This PR adds a step to the cached Linux Lake CI to upload the build
directory. This will help us debug any cache failures.
2025-07-28 20:29:51 +00:00
Lean stage0 autoupdater
ab87a6f797 chore: update stage0 2025-07-28 18:23:37 +00:00
Cameron Zwarich
475bd65c90 perf: during specialization, don't abstract all local fun decls under binders (#9596)
The `isUnderBinder` check is intended to avoid inlining repeated
computations into specializations, but this doesn’t apply to local
function decls whose bodies are already delayed.
2025-07-28 17:36:43 +00:00
Cameron Zwarich
0fe7cc8794 perf: increase usage of the tagged IR type for app return values (#9589) 2025-07-28 14:09:38 +00:00
Kim Morrison
2cdb547af0 chore: add 'public section' in Data/Vector/Algebra (#9588) 2025-07-28 13:07:21 +00:00
pandaman
fd25fd70f1 feat: add Iter.toArray lemmas (#9538)
This PR adds two lemmas related to `Iter.toArray`.

[Zulip
discussion](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/Iterator.20Library.3A.20Request.20for.20Feedback/near/530567667)

---------

Co-authored-by: Paul Reichert <6992158+datokrat@users.noreply.github.com>
2025-07-28 11:46:38 +00:00
Sebastian Graf
8a58037df9 feat: Add List.zipWithM and Array.zipWithM (#9528)
This PR adds `List.zipWithM` and `Array.zipWithM`.
2025-07-28 08:39:52 +00:00
Kim Morrison
e38f0c6990 chore: remove bad grind annotation from pairwise_iff_forall_sublist (#9584) 2025-07-28 05:57:51 +00:00
Kim Morrison
557592aa97 feat: componentwise algebra operations on Vector (#9586)
This PR adds componentwise algebraic operations on `Vector α n`, and
relevant instances.
2025-07-28 05:56:10 +00:00
Eric Wieser
e5600afddc feat: missing pow lemmas for UInt (#9577)
This PR adds lemmas about `UIntX.toBitVec` and `UIntX.ofBitVec` and `^`.

These match the existing lemas for `*`.

After #7887 these can be made true by `rfl`.
2025-07-28 00:06:18 +00:00
Leonardo de Moura
87dae299b8 fix: ite and dite should not be used in E-matching patterns (#9579)
This PR ensures `ite` and `dite` are to selected as E-matching patterns.
They are bad patterns because the then/else branches are only
internalized after `grind` decided whether the condition is
`True`/`False`.

The issue reported by #9572 has been fixed, but the fix exposed another
issue. The patterns for `List.Pairwise` produce an unbounded number of
E-matching instances.
```lean
example (l : List α) : l.Pairwise R := by
  grind
```
2025-07-27 17:51:23 +00:00
Leonardo de Moura
7034310a3b fix: disequality proof construction in grind (#9578)
This PR fixes an issue in `grind`'s disequality proof construction. The
issue occurs when an equality is merged with the `False` equivalence
class, but it is not the root of its congruence class, and its
congruence root has not yet been merged into the `False` equivalence
class yet.

closes #9562
2025-07-27 14:49:10 +00:00
Cameron Zwarich
d7e7bd16a6 chore: increase code sharing in IR LiveVars computation (#9576) 2025-07-27 13:29:58 +00:00
Leonardo de Moura
bdd1918cd8 perf: optimizes grind ring proof terms (#9575)
This PR optimizes the proof terms generated by `grind ring`. For
example, before this PR, the kernel took 2.22 seconds (on a M4 Max) to
type-check the proof in the benchmark `grind_ring_5.lean`; it now takes
only 0.63 seconds.
2025-07-27 11:43:17 +00:00
Leonardo de Moura
30ba416fe3 feat: add grind option abstractProof (#9574)
This PR adds the option `abstractProof` to control whether `grind`
automatically creates an auxiliary theorem for the generated proof or
not.
2025-07-27 11:33:16 +00:00
Kim Morrison
95e753c6b4 feat: generalize Process.output/run to allow an input (#9532)
This PR generalizes `Process.output` and `Process.run` with an optional
`String` argument that can be piped to `stdin`.

To date we have been using shims `Process.runCmdWithInput` in Batteries.
2025-07-27 03:09:34 +00:00
Kyle Miller
5d54b0b13f fix: erroneous "no goals" in empty tactic list in induction/cases and other tactic info improvements (#9553)
This PR fixes a bug introduced in #7830 where if the cursor is at the
indicated position
```lean
example (as bs : List Nat) : (as.append bs).length = as.length + bs.length := by
  induction as with
  | nil => -- cursor
  | cons b bs ih =>
```
then the Infoview would show "no goals" rather than the `nil` goal. The
PR also fixes a separate bug where placing the cursor on the next line
after the `induction`/`cases` tactics like in
```lean
  induction as with
  | nil => sorry
  | cons b bs ih => sorry
  I -- < cursor
```
would report the original goal in the goal list. Furthermore, there are
numerous improvements to error recovery (including `allGoals`-type logic
for pre-tactics) and the visible tactic states when there are errors.
Adds `Tactic.throwOrLogErrorAt`/`Tactic.throwOrLogError` for throwing or
logging errors depending on the recovery state.
2025-07-26 23:15:31 +00:00
Wojciech Nawrocki
d2153064ec doc: clarify nondep behaviour (#9570)
This PR clarifies the behaviour of `mkLetFVars` and family on
nondependent `ldecl`s.

Zulip discussion
[here](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/mkLetFVars.20with.20nondependent.20let).
2025-07-26 22:46:48 +00:00
Kyle Miller
4d295d85b6 fix: make zero/succ hoverable in induction/cases (#9571)
This PR restores the feature where in `induction`/`cases` for `Nat`, the
`zero` and `succ` labels are hoverable. This was added in #1660, but
broken in #3629 and #3655 when custom eliminators were added. In
general, if a custom eliminator `T.elim` for an inductive type `T` has
an alternative `foo`, and `T.foo` is a constant, then the `foo` label
will have `T.foo` hover information.
2025-07-26 22:31:53 +00:00
Cameron Zwarich
8ce0e045a8 chore: increase code sharing in IR FreeVars computation (#9569) 2025-07-26 20:37:10 +00:00
Cameron Zwarich
2be6c75c2b chore: replace partially redundant calls to FnBody.split with .body (#9568) 2025-07-26 20:18:37 +00:00
Lean stage0 autoupdater
af84f76f31 chore: update stage0 2025-07-26 15:58:53 +00:00
Cameron Zwarich
dd45a21257 chore: remove unused FnBody.mdata constructor (#9564) 2025-07-26 15:20:13 +00:00
Sebastian Ullrich
8177de88cd perf: remove grind blockers (#9328)
This PR removes all blocking waits in `grind_bitvec2.lean` that can be
avoided by more fine-grained requests.
2025-07-26 06:15:33 +00:00
Sebastian Ullrich
99dac6aec0 doc: building core with Lake (#9547) 2025-07-26 06:13:09 +00:00
jrr6
30afb0dbec feat: improve set_option error messages (#9496)
This PR improves the error messages produced by the `set_option`
command.
2025-07-26 02:04:45 +00:00
jrr6
309a3c364f fix: avoid RPC errors in nonexistent identifier hovers (#9494)
This PR fixes an issue that caused some error messages to attempt to
display hovers for nonexistent identifiers.
2025-07-26 02:04:43 +00:00
jrr6
fcbd1037fd refactor: update and consolidate attribute-related error messages (#9495)
This PR consolidates common attribute-related error messages into
reusable functions and updates the wording and formatting of relevant
error messages.
2025-07-26 02:03:18 +00:00
Cameron Zwarich
aa769e7677 chore: make inferVisibility LCNF pass style match others (#9558) 2025-07-26 00:49:52 +00:00
Cameron Zwarich
737105fd78 chore: remove syntax for extern arity specifications (#9556) 2025-07-26 00:44:36 +00:00
Cameron Zwarich
1285a3c9a7 chore: clean up IR.Arg usage (#9557) 2025-07-26 00:22:38 +00:00
jrr6
17a477393c feat: allow custom preview spans in hint suggestions (#9555)
This PR allows hints in message data to specify custom preview spans
that extend beyond the edit region specified by the code action.
2025-07-26 00:04:28 +00:00
Lean stage0 autoupdater
437b4a4f9b chore: update stage0 2025-07-25 22:06:31 +00:00
Cameron Zwarich
eddc3b421e chore: remove support for unused arity specification in ExternAttrData (#9552)
This just removes the data for this specification. Removing the parser
support for it seems to require a stage0 update in between.
2025-07-25 21:23:56 +00:00
Kyle Miller
98569c7cf0 fix: make sure "dependent elimination failed" error is on cases (#9551)
This PR fixes the error position for the "dependent elimination failed"
error for the `cases` tactic.
2025-07-25 19:02:42 +00:00
Cameron Zwarich
7f39e56a79 chore: adopt List.find? in getExternEntryForAux (#9550) 2025-07-25 17:38:22 +00:00
Sebastian Ullrich
bc5526cacb fix: widgets broken by overzealous modularization (#9548) 2025-07-25 16:51:18 +00:00
Cameron Zwarich
6300329057 perf: consider functions with ordinary implicit arguments of instance type to be template-like (#9536)
This extends the specialization behavior of functions taking instance
implicits to ordinary implicit arguments that are of instance type. The
choice between the two is often made for subtle inference-related
reasons. It also affects visibility of these functions, because the
module system makes template-like decls visible to the compiler in other
modules.
2025-07-25 16:03:30 +00:00
Cameron Zwarich
15f0cd9527 fix: run inferVisibility after saveMono (#9545)
This PR makes the second instance of the `inferVisibility` pass run
after the `saveMono` pass. As the comment above the first instance of
the pass indicates, this needs to be after `saveMono` in order to see
all decls with their updated bodies.
2025-07-25 15:36:52 +00:00
Sebastian Ullrich
b437232ab6 refactor: minimize Lean.DefEqAttrib imports (#9543) 2025-07-25 15:18:17 +00:00
Sebastian Ullrich
3ff069911e refactor: remove some unnecessary meta imports (#9542) 2025-07-25 15:14:02 +00:00
Sebastian Ullrich
e74a97d5a8 perf: do not even open .olean.server when not necessary (#9531) 2025-07-25 14:52:24 +00:00
Sebastian Ullrich
7f4d673d33 perf: make builtin_initialize backing def private (#9540) 2025-07-25 14:41:49 +00:00
Sebastian Ullrich
81fe5243d3 chore: add grind tests as benchmarks (#9537) 2025-07-25 14:21:38 +00:00
Lean stage0 autoupdater
3f19182afc chore: update stage0 2025-07-25 12:44:14 +00:00
Sebastian Ullrich
ff1d3138bf refactor: module-ize Lean (#9330) 2025-07-25 12:02:51 +00:00
Kim Morrison
0071bea64e feat: helper instances for NameSet (#9529)
This PR upstreams some helper instances for `NameSet` from Batteries.

(These could be generalized to an arbitrary TreeSet, but I'll leave that
for someone else.)
2025-07-25 09:33:19 +00:00
Sebastian Ullrich
5244ac3bb5 feat: note inaccessible private declarations in unknown constant error (#9516)
This PR ensures that private declarations made inaccessible by the
module system are noted in the relevant error messages
2025-07-25 09:23:52 +00:00
Sebastian Ullrich
26be599e65 fix: inaccessible private messages in the module system (#9518)
This PR ensures previous "is marked as private" messages are still
triggered under the module system
2025-07-25 09:09:17 +00:00
Sebastian Ullrich
671057eecf fix: unif_hint under the module system (#9530) 2025-07-25 09:05:31 +00:00
Kim Morrison
0ab69a32cb chore: parameterize NoNatZeroDivisors by NatModule instead of HMul (#9527)
This PR changes `Lean.Grind.NoNatZeroDivisors` so that it is
parametrised by a `NatModule` instance rather than just a `HMul`
instance. This is sufficiently general for our purposes, and is a
band-aid (~40% improvement) for the performance problems we've been
seeing coming from inference here. The problems observed in Mathlib may
not see much improvement, however.
2025-07-25 08:46:05 +00:00
Joachim Breitner
6995f280b4 fix: unfold abstracted proofs before processing recursion (#9191)
This PR lets the equation compiler unfold abstracted proofs again if
they would otherwise hide recursive calls.
    
This fixes #8939.

---------

Co-authored-by: Sebastian Ullrich <sebasti@nullri.ch>
2025-07-25 08:00:57 +00:00
Kim Morrison
73422d52fd chore: remove simp from unindexable Array.filterMap_some_fun (#9521) 2025-07-25 06:22:42 +00:00
Mac Malone
4875c6447f fix: lake: import all transitivity & related bugs (#9525)
This PR fixes Lake's handling of a module system `import all`.
Previously, Lake treated `import all` the same a non-module `import`,
importing all private data in the transitive import tree. Lake now
distinguishes the two, with `import all M` just importing the private
data of `M`. The direct private imports of `M` are followed, but they
are not promoted.

This also fixes some other Lake bugs with module system imports that
were discovered in the process.
2025-07-25 05:56:38 +00:00
Cameron Zwarich
820c1e6f15 chore: remove tests that recompile builtin definitions (#9523)
In the early days of the new compiler, it was common to make tests that
manually compiled a definition with the new compiler. The arity
reduction pass in LCNF deliberately does not compute a fixed point to
find a minimal set of used parameters for performance reasons, but
running it a second time can lead to different decisions being made and
a decl arity mismatch. This has been an issue for multiple people during
development. Removing the tests fixes the problem.

Fixes #9186.
2025-07-25 04:37:33 +00:00
Leonardo de Moura
92b870da4a fix: kernel deep recursion with normalizer (#9522)
This PR uses `withAbstractAtoms` to prevent the kernel from accidentally
reducing the atoms in the arith normlizer while typechecking. This PR
also sets `implicitDefEqProofs := false` in the `grind` normalizer
2025-07-25 04:37:17 +00:00
Kim Morrison
3eaa44dd4d fix: definition of Lean.Grind.Field (#9520)
This PR corrects the changes to `Lean.Grind.Field` made in #9500. 

(The lack of examples of fields in the core repository is a problem! I
guess it is likely that for interval arithmetic we will at least need
`Rat` soon.)
2025-07-25 00:35:43 +00:00
Rob23oba
e148871087 chore: fix spelling errors (#9175)
(Almost) only typos in constant names and doc-strings were considered;
grammar was not considered. Also, along others,
`mkDefinitionValInferrringUnsafe` has been fixed :-)
2025-07-24 23:35:32 +00:00
Henrik Böving
75b5c8b0aa perf: phashmap benchmark (#9517)
This PR adds a benchmark for the persistent hashmap, in particular also
covering the non
linear insert case which is often hit in practical uses. Furthermore the
same test case is also
added to the treemap benchmark.
2025-07-24 14:57:07 +00:00
Sebastian Ullrich
4177f123bc fix: expose LCNF of private inline decl referenced by implemented_by (#9514) 2025-07-24 13:05:21 +00:00
Sebastian Ullrich
db292b4c82 chore: minimize benchmark imports so we don't spend a majority in importing (#9513) 2025-07-24 12:14:12 +00:00
Henrik Böving
9669c6d5f1 perf: add benchmark for congruence reasoning in simp (#9511)
This PR adds a benchmark for putting pressure on simp's congruence
abilities.
2025-07-24 10:47:37 +00:00
Sebastian Graf
2748633637 fix: Make mframe, mspec and mvcgen hygienic (#9512)
This PR makes `mframe`, `mspec` and `mvcgen` respect hygiene.
Inaccessible stateful hypotheses can now be named with a new tactic
`mrename_i` that works analogously to `rename_i`.
2025-07-24 10:30:16 +00:00
Joachim Breitner
2075103cd9 fix: show kernel diagnostics even for examples (#9509)
This PR surfaces kernel diagnostics even in `example`.

The problem was that the kernel checking happens asynchronously. We
cannot use `reportDiag` in `addDecl`, which spawns that task, due to the
module hierarchy. For non `example`-declaration, `reportDiag` is called
somewhere else later, but for `example`, the `withoutModifyingEnv` in
`elabMutualDef` hid the kernel diagnostics. (But only the kernel
diagnostics; they are in the `Environment`, while the others are in the
`State`).

I also observed that the `reportDiag` in `elabAsync` (but not in
`elabSync`) duplicated the reporting, so without `elab.Async true` you
get the message twice. To fix this, `reportDiag` now resets the
diagnostics. This should avoid reporting counts twice in general (at
least within a linear use of the state).

---------

Co-authored-by: Sebastian Ullrich <sebasti@nullri.ch>
2025-07-24 09:21:47 +00:00
Sebastian Graf
b7dfda4f45 chore: Extract collectFreshMVars from withCollectingNewGoalsFrom (#9502) 2025-07-24 07:44:06 +00:00
Sebastian Graf
45514a955e feat: Add missing simp lemmas to mleave (#9506)
This PR adds a few missing simp lemmas to `mleave`.
2025-07-24 07:12:32 +00:00
Sebastian Graf
4fdf74500d fix: Remove duplicate syntax definitions for mvcgen* (#9505)
This PR removes vestigial syntax definitions in
`Lean.Elab.Tactic.Do.VCGen` that when imported undefine the `mvcgen`
tactic. Now it should be possible to import Mathlib and still use
`mvcgen`.
2025-07-24 06:57:00 +00:00
Sebastian Graf
d8f9463af3 feat: Add *.by_wp adequacy theorems for ReaderM and ExceptM (#9504)
This PR adds a few more `*.by_wp` "adequacy theorems" that allows to
prove facts about programs in `ReaderM` and `ExceptM` using the `Std.Do`
framework.
2025-07-24 06:53:59 +00:00
Sebastian Graf
ab18c82371 chore: Remove unused definitions relating to PredTrans (#9503) 2025-07-24 06:50:57 +00:00
Kim Morrison
68adcdb475 chore: maintain failing grind tests about Nat as a semiring (#9501)
These tests (still failing until we embed a NatModule in its IntModule
envelope) had further broken because of name changes.
2025-07-24 06:44:39 +00:00
Kim Morrison
3cde12567f feat: add HPow Int field to Field (#9500)
This PR adds a `HPow \a Int \a` field to `Lean.Grind.Field`, and
sufficient axioms to connect it to the operations, so that in future we
can reason about exponents in `grind`. To avoid collisions, we also move
the `HPow \a Nat \a` field in `Semiring` from the extends clause to a
field. Finally, we add some failing tests about normalizing exponents.
2025-07-24 06:00:11 +00:00
Kim Morrison
8d5da6491a chore: remove provable fields from Grind.Nat/IntModule (#9499) 2025-07-24 05:23:35 +00:00
Kim Morrison
eea7e50519 chore: script/release_steps.py only merges nightly-testing on rc1 (#9498) 2025-07-24 04:31:11 +00:00
Lean stage0 autoupdater
c4c3497776 chore: update stage0 2025-07-24 01:57:24 +00:00
Kyle Miller
d45cc674ea feat: make cdot expansion take hygiene into account (#9443)
This PR makes cdot function expansion take hygiene information into
account, fixing "parenthesis capturing" errors that can make erroneous
cdots trigger cdot expansion in conjunction with macros. For example,
given
```lean
macro "baz% " t:term : term => `(1 + ($t))
```
it used to be that `baz% ·` would expand to `1 + fun x => x`, but now
the parentheses in `($t)` do not capture the cdot. We also fix an
oversight where cdot function expansion ignored the fact that type
ascriptions and tuples were supposed to delimit expansion, and also now
the quotation prechecker ignores the identifier in `hygieneInfo`. (#9491
added the hygiene information to the parenthesis and cdot syntaxes.)

This fixes a bug discovered by [Google
DeepMind](https://storage.googleapis.com/deepmind-media/DeepMind.com/Blog/imo-2024-solutions/P1/index.html),
which made use of `useλy . x=>y.rec λS p=>?_`. The `use` tactic from
Mathlib wrapped the provided term in a type ascription, and so this was
equivalent to `use fun x => λy x x=>y.rec λS p=>?_`. (Note that cdot
function expansion is not able to take into account *where* the cdots
are located, and it is syntactically valid to insert an identifier into
the binder list like this. If we ever want to address this in the
future, we could have cdots expand into a special term that wraps an
identifier that evaluates to a local, but which would cause errors in
other contexts.)

Design note: we put the `hygieneInfo` on the open parenthesis rather
than at the end, since that way the hygiene information is available
even when there are parsing errors. This is important since we rely on
being able to elaborate partial syntax to get elab info (e.g. in `(a.`
to get completion info). Note that syntax matchers check that the
`hygieneInfo` is actually present, so such partial syntax would not be
matched.
2025-07-24 00:43:32 +00:00
Cameron Zwarich
8a0d036e82 perf: use an FVarIdHashSet for ReduceArity.State.used (#9497) 2025-07-24 00:25:26 +00:00
Lean stage0 autoupdater
9d93b10919 chore: update stage0 2025-07-23 21:41:23 +00:00
Kyle Miller
2412d52536 feat: add hygiene info to paren/tuple/typeAscription syntaxes (#9491)
This PR adds hygiene info to paren/tuple/typeAscription syntaxes, which
will be used to implement hygienic cdot function expansion in #9443.
2025-07-23 20:57:06 +00:00
Kyle Miller
e686d040ea fix: add missing spaces for pretty printing (#9475)
This PR fixes the way some syntaxes are pretty printed due to missing
whitespace advice.

Removes a vestigal `have'` tactic macro introduced in
0032578d5b back when `let` syntax looked
like `let Type := v`.

While we're here, extends the `let`/`have` docstrings to mention `(eq :=
h)` syntax.

Whitespace issues were reported by Damiano Testa [on
Zulip](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/Some.20pretty.20printing.20quirks/near/529964215).
2025-07-23 19:35:04 +00:00
Leonardo de Moura
2dce18655d fix: incorrect proof term in grind linarith (#9487)
This PR fixes an incorrect proof term constructed by `grind linarith`,
as reported in #9485.

closes #9485
2025-07-23 17:34:44 +00:00
Kyle Miller
6cf22b32aa feat: custom structure constructors can update binder kinds of parameters (#9480)
This PR adds a feature where `structure` constructors can override the
inferred binder kinds of the type's parameters. In the following, the
`(p)` binder on `toLp` causes `p` to be an explicit parameter to
`WithLp.toLp`:
```lean
structure WithLp (p : Nat) (V : Type) where toLp (p) ::
  ofLp : V
```
This reflects the syntax of the feature added in #7742 for overriding
binder kinds of structure projections. Similarly, only those parameters
in the header of the `structure` may be updated; it is an error to try
to update binder kinds of parameters included via `variable`.

Closes #9072.

Fixes a possible bug from stale caches when creating the type of the
constructor.
2025-07-23 16:33:34 +00:00
Rob23oba
d24219697e feat: unexpand Vector.mk #[...] _ to #v[...] (#8391)
This PR adds an unexpander for `Vector.mk` that unexpands `Vector.mk
#[...] _` to `#v[...]`.
```lean
-- previously:
#check #v[1, 2, 3] -- { toArray := #[1, 2, 3], size_toArray := ⋯ } : Vector Nat 3
-- now:
#check #v[1, 2, 3] -- #v[1, 2, 3] : Vector Nat 3
```

---------

Co-authored-by: Kyle Miller <kmill31415@gmail.com>
2025-07-23 16:27:51 +00:00
Lean stage0 autoupdater
d353a25a36 chore: update stage0 2025-07-23 16:53:11 +00:00
Sebastian Ullrich
9dc4dbebe1 perf: do not try to mmap .ir to the same address as .olean (#9488) 2025-07-23 16:12:44 +00:00
Sebastian Ullrich
04be1c6b5c chore: CI: cached Lake as secondary job (#9486) 2025-07-23 13:26:35 +00:00
Sebastian Ullrich
e46a3108d9 perf: do not export specializations (#9465)
Trading an insignificant amount of IR bloat for better recompilation
avoidance
2025-07-23 13:12:15 +00:00
Sebastian Ullrich
4cbfa485fa chore: fix test on macOS (#9483) 2025-07-23 12:10:13 +00:00
Sebastian Ullrich
9328271dd0 perf: do not export LCNF decls of closed terms (#9484)
This was only necessary when `isDeclMeta` and `isDeclPublic` were
intertwined
2025-07-23 09:50:29 +00:00
Lean stage0 autoupdater
f137d43931 chore: update stage0 2025-07-23 09:39:13 +00:00
Sebastian Ullrich
0ba5413266 refactor: remove unused Environment.extraConstNames (#9470)
Obsoleted in #9356
2025-07-23 08:58:32 +00:00
Sebastian Ullrich
fefc033515 chore: disable artifacts cache for building stage2+ (#9482) 2025-07-23 08:44:08 +00:00
Lean stage0 autoupdater
d888039468 chore: update stage0 2025-07-23 08:54:57 +00:00
Sebastian Ullrich
ddc4cf0a97 refactor: private field use in Meta.Context (#9468)
This PR resolves an issue where the `Meta.Context.configKey` field is
private but we still want to use the constructor of the structure for
setting other fields, which would be prevented by the module system
checks:
```lean
structure Context where
  private config    : Config               := {}
  private configKey : UInt64               := config.toKey
...

def ContextInfo.runMetaM (info : ContextInfo) (lctx : LocalContext) (x : MetaM α) : IO α := do
  -- cannot call private constructor of `Meta.Context`!
  (·.1) <$> info.runCoreM (x.run { lctx := lctx } { mctx := info.mctx })
```
Instead, the private field is extracted into an (existing) structure
that applies its default value:
```lean
/-- Configuration with key produced by `Config.toKey`. -/
structure ConfigWithKey where
  private mk ::
  config : Config := {}
  key    : UInt64 := config.toKey
  
structure Context where
  keyedConfig : ConfigWithKey := default
```
Thus `Context`'s constructor remains public without exposing a way to
set `key` directly.
2025-07-23 08:16:44 +00:00
Leonardo de Moura
aa5b392e35 fix: canonicalization of non-standard OfNat.ofNat terms (#9481)
This PR fixes a kernel type mismatch that occurs when using `grind` on
goals containing non-standard `OfNat.ofNat` terms. For example, in issue
#9477, the `0` in the theorem `range_lower` has the form:
```lean
(@OfNat.ofNat
  (Std.PRange.Bound (Std.PRange.RangeShape.lower (Std.PRange.RangeShape.mk Std.PRange.BoundShape.closed Std.PRange.BoundShape.open)) Nat)
  (nat_lit 0)
  (instOfNatNat (nat_lit 0)))
```
instead of the more standard form:
```lean
(@OfNat.ofNat
  Nat
  (nat_lit 0)
  (instOfNatNat (nat_lit 0)))
```

Closes #9477
2025-07-23 04:10:21 +00:00
Lean stage0 autoupdater
6346fdb253 chore: update stage0 2025-07-23 02:31:29 +00:00
Leonardo de Moura
7d2a7dba81 fix: improve evalInt? (#9479)
This PR improves the `evalInt?` function, which is used to evaluate
configuration parameters from the `ToInt` type class. This PR also adds
a new `evalNat?` function for handling the `IsCharP` type class, and
introduces a configuration option:
```
grind (exp := <num>)
```
This option controls the maximum exponent size considered during
expression evaluation. Previously, `evalInt?` used `whnf`, which could
run out of stack space when reducing terms such as `2^1024`.

closes #9427
2025-07-23 01:51:04 +00:00
Aaron Liu
98f05c47d0 fix: add binrel% macros for notation in Init.Core (#9084)
This PR adds `binrel%` macros for `!=` and `≠` notation defined in
`Init.Core`. This allows the elaborator to insert coercions on both
sides of the relation, instead of committing to the type on the left
hand side.

I first discovered this bug while working on Brouwer's fixed point
theorem. See the discussion on Zulip at [#lean4 > Elaboration of
&#96;≠&#96; @
💬](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/Elaboration.20of.20.60.E2.89.A0.60/near/526236907).
2025-07-23 01:34:55 +00:00
Mac Malone
67bbc947af feat: lake: meta import support (#9478)
This PR adds proper Lake support for `meta import`. Module IR is now
tracked in traces and in the pre-resolved modules Lake passes to `lean
--setup`.
2025-07-23 01:17:20 +00:00
Leonardo de Moura
64219ac91e fix: assertNatCast in grind (#9476)
This PR fixes the bridge between `Nat` and `Int` in `grind cutsat`.

Closes #9467
2025-07-22 21:59:38 +00:00
Leonardo de Moura
dedd9275ec fix: mkCongrSimpCore? (#9472)
This PR fixes another issue at the `congr_simp` theorems that was
affecting Mathlib. Many thanks to Johan Commelin for creating the mwe.

closes #9466
2025-07-22 18:09:24 +00:00
Sebastian Ullrich
4dbe84dc98 chore: ensure Lake and Lean agree when .ir is needed (#9471) 2025-07-22 17:34:41 +00:00
Giles Shaw
0cc4c91800 fix: change the proof of Nat.zero_mod to rfl (#9391)
This PR replaces the proof of the simplification lemma `Nat.zero_mod`
with
`rfl` since it is, by design, a definitional equality. This solves an
issue
whereby the lemma could not be used by the simplifier when in 'dsimp'
mode.

Closes #9389

---------

Co-authored-by: Joachim Breitner <mail@joachim-breitner.de>
2025-07-22 13:21:48 +00:00
Sebastian Graf
548d564c18 feat: Introduce mleave tactic that leaves the SPred proof mode (#9363) (#9454)
This PR introduces tactic `mleave` that leaves the `SPred` proof mode by
eta expanding through its abstractions and applying some mild
simplifications. This is useful to apply automation such as `grind`
afterwards.

Relates to #9363.
2025-07-22 11:50:16 +00:00
Sebastian Graf
2d30e3913c fix: Handle let/have in mintro (#9365) (#9451)
This PR adds support in the `mintro` tactic for introducing `let`/`have`
binders in stateful targets, akin to `intro`. This is useful when
specifications introduce such let bindings.

Closes #9365.
2025-07-22 11:35:46 +00:00
Joachim Breitner
ec13bb963f fix: PProdN.reduceProjs to also look for projection functions (#9464)
This PR makes `PProdN.reduceProjs` also look for projection functions.
Previously, all redexes were created by the functions in `PProdN`, which
used primitive projections. But with `mkAdmProj` the projection
functions creep in via the types of the `admissible_pprod_fst` theorem.
So let's just reduce both of them.

Fixes #9462.
2025-07-22 09:22:50 +00:00
Lean stage0 autoupdater
9006597f59 chore: update stage0 2025-07-22 09:47:42 +00:00
Sebastian Ullrich
e28569f2a1 perf: minimize exported codegen data (#9356)
To be documented
2025-07-22 09:05:49 +00:00
Kenny Lau
751947482f fix: use let rec for Fin.reverseInduction (#9142)
This PR changes `Fin.reverseInduction` from using well-founded recursion
to using `let rec`, which makes it have better definitional equality.
Co-authored by @digama0. See the test below:

```lean
namespace Fin

/-- The new one. -/
@[elab_as_elim] def reverseInduction' {motive : Fin (n + 1) → Sort _} (last : motive (Fin.last n))
    (cast : ∀ i : Fin n, motive i.succ → motive (castSucc i)) (i : Fin (n + 1)) : motive i :=
  let rec go (j : Nat) (h) (h2 : i ≤ j) (x : motive ⟨j, h⟩) : motive i :=
    if hi : i.1 = j then (show i = ⟨j, h⟩ by simp [← hi]) ▸ x
    else match j with
      | 0 => by omega
      | j+1 => go j (by omega) (by omega) (cast ⟨j, by omega⟩ x)
  go _ _ (by omega) last

/-- Same code but using reverseInduction'. -/
@[elab_as_elim] def lastCases' {n : Nat} {motive : Fin (n + 1) → Sort _} (last : motive (Fin.last n))
    (cast : ∀ i : Fin n, motive (castSucc i)) (i : Fin (n + 1)) : motive i :=
  reverseInduction' last (fun i _ => cast i) i

end Fin

theorem foo : (Fin.lastCases (-4) (fun i ↦ (i : Int) * 2 + 1) (2 : Fin 3) : Int) = -4 := rfl
#eval (Fin.lastCases (-4) (fun i ↦ (i : Int) * 2 + 1) (2 : Fin 3) : Int)
theorem foo' : (Fin.lastCases' (-4) (fun i ↦ (i : Int) * 2 + 1) (2 : Fin 3) : Int) = -4 := rfl
#eval (Fin.lastCases' (-4) (fun i ↦ (i : Int) * 2 + 1) (2 : Fin 3) : Int)

theorem bar : (Fin.reverseInduction (n := 2) (motive := fun _ ↦ Int)
    (-4) (fun i _ ↦ (i : Int) * 2 + 1) (2 : Fin 3) : Int) = -4 := rfl
#eval (Fin.reverseInduction (n := 2) (motive := fun _ ↦ Int)
    (-4) (fun i _ ↦ (i : Int) * 2 + 1) (2 : Fin 3) : Int)
theorem bar' : (Fin.reverseInduction' (n := 2) (motive := fun _ ↦ Int)
    (-4) (fun i _ ↦ (i : Int) * 2 + 1) (2 : Fin 3) : Int) = -4 := rfl
#eval (Fin.reverseInduction' (n := 2) (motive := fun _ ↦ Int)
    (-4) (fun i _ ↦ (i : Int) * 2 + 1) (2 : Fin 3) : Int)
```
[Link to Lean 4
Web](https://live.lean-lang.org/#project=lean-nightly&codez=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)

Notice how `rfl` fails for the 1st and 5th tests that use the original
`Fin.reverseInduction`, but the 3rd and 7th tests that use the new code
in this PR succeed.

Closes #9141.

---------

Co-authored-by: Markus Himmel <markus@lean-fro.org>
2025-07-22 08:34:14 +00:00
Rob23oba
b7ab7ea745 fix: behavior of String.next (#9449)
This PR fix the behavior of `String.next` on the scalar boundary (`2 ^
63 - 1` on 64-bit platforms).

Closes #9440
2025-07-22 06:48:33 +00:00
Cameron Zwarich
6f5532f069 perf: make function types object rather than tobject (#9461) 2025-07-22 01:16:45 +00:00
Cameron Zwarich
30ca6c82e0 refactor: use named params (#9460) 2025-07-22 00:11:25 +00:00
Cameron Zwarich
968a708a9f perf: update type information in cases arms for RC optimizations (#9457)
The `isRef` check being removed here used to be an optimization, because
this structure only tracked whether ref counting operations need to be
inserted at all. Now the structure also tracks whether the value needs
to be checked for being a scalar or not, which is something that can be
refined by a `cases` arm, since inductive types can have a mix of scalar
and non-scalar constructors.
2025-07-21 23:10:11 +00:00
Cameron Zwarich
bb23700f24 chore: add named params to MonadWithReader.withReader (#9459)
This matches `MonadWithReaderOf`.
2025-07-21 23:02:19 +00:00
Cameron Zwarich
9a34f6bc95 refactor: remove questionable defaults in Context structure (#9458) 2025-07-21 22:16:14 +00:00
Cameron Zwarich
f3e1795175 refactor: clean up monad setup (#9456) 2025-07-21 21:22:20 +00:00
jrr6
d57d1fcd36 fix: prevent deriving handlers from generating ambiguous identifiers (#9371)
This PR fixes an issue that caused some `deriving` handlers to fail when
the name of the type being declared matched that of a declaration in an
open namespace.

Closes #9366
2025-07-21 17:45:54 +00:00
Lean stage0 autoupdater
e134cfea8f chore: update stage0 2025-07-21 16:24:20 +00:00
Marc Huisinga
8b8561a699 feat: improved go to definition (#9040)
This PR improves the 'Go to Definition' UX, specifically:
- Using 'Go to Definition' on a type class projection will now extract
the specific instances that were involved and provide them as locations
to jump to. For example, using 'Go to Definition' on the `toString` of
`toString 0` will yield results for `ToString.toString` and `ToString
Nat`.
- Using 'Go to Definition' on a macro that produces syntax with type
class projections will now also extract the specific instances that were
involved and provide them as locations to jump to. For example, using
'Go to Definition' on the `+` of `1 + 1` will yield results for
`HAdd.hAdd`, `HAdd α α α` and `Add Nat`.
- Using 'Go to Declaration' will now provide all the results of 'Go to
Definition' in addition to the elaborator and the parser that were
involved. For example, using 'Go to Declaration' on the `+` of `1 + 1`
will yield results for `HAdd.hAdd`, `HAdd α α α`, `Add Nat`,
``macro_rules | `($x + $y) => ...`` and `infixl:65 " + " => HAdd.hAdd`.
- Using 'Go to Type Definition' on a value with a type that contains
multiple constants will now provide 'Go to Definition' results for each
constant. For example, using 'Go to Type Definition' on `x` for `x :
Array Nat` will yield results for `Array` and `Nat`.

### Details
'Go to Definition' for type class projections was first implemented by
#1767, but there were still a couple of shortcomings with the
implementation. E.g. in order to jump to the instance in `toString 0`,
one had to add another space within the application and then use 'Go to
Definition' on that, or macros would block instances from being
displayed. Then, when the .ilean format was added, most 'Go to
Definition' requests were already handled using the .ileans in the
watchdog process, and so the file worker never received them to handle
them with the semantic information that it has available.

This PR resolves most of the issues with the previous implementation and
refactors the 'Go to Definition' control flow so that 'Go to Definition'
requests are always handled by the file worker, with the watchdog merely
using its .ilean position information to update the positions in the
response to a more up-to-date state. This is necessary because the file
worker obtains its position information from the .oleans, which need to
be rebuilt in order to be up-to-date, while the watchdog always receives
.ilean update notifications from each active file worker with the
current position information in the editor.

Finally, all of the 'Go to Definition' code is refactored to be easier
to maintain.

### Breaking changes
`InfoTree.hoverableInfoAt?` has been generalized to
`InfoTree.hoverableInfoAtM?` and now takes a general `filter` argument
instead of several boolean flags, as was the case before.
2025-07-21 15:47:44 +00:00
Lean stage0 autoupdater
51ae98ae30 chore: update stage0 2025-07-21 14:40:51 +00:00
Henrik Böving
09de5cd70e refactor: remove Lean.RBMap usages (#9260)
This PR removes uses of `Lean.RBMap` in Lean itself.

Furthermore some massaging of the import graph is done in order to avoid
having `Std.Data.TreeMap.AdditionalOperations` (which is quite
expensive) be the critical path for a large chunk of Lean. In particular
we can build `Lean.Meta.Simp` and `Lean.Meta.Grind` without it thanks to
these changes.

We did previously not conduct this change as `Std.TreeMap` was not
outperforming `Lean.RBMap` yet, however this has changed with the new
code generator.
2025-07-21 14:04:45 +00:00
Joachim Breitner
23e88b4e1d chore: test for issue #9018 (#9452) 2025-07-21 13:55:36 +00:00
Joachim Breitner
fcd60e73f8 fix: use withIncRecDepth in SizeOf deriving (#9448)
This PR addresses the lean crash (stack overflow) with nested induction
and the generation of the `SizeOf` spec lemmas, reported at #9018.

It does not address the underlying issue that in these cases, the
generated SizeOf code does not match the the SizeOf function found by
instance search, and thus the generation fails.

This seem hard to fix: `mkSizeOfMinors` would have to recognize that
given, say, `List (Id Tree)`, the derived instance (assuming there was
one for `Tree`) is not the same as for `List Tree`.

The problem seems just about as hard as getting derived SizeOf right in
the presence of nested induction and non-canonical SizeOf instances.
2025-07-21 12:43:19 +00:00
Rob23oba
b7f433c5b9 fix: behavior of String.prev (#9441)
This PR fixes the behavior of `String.prev`, aligning the runtime
implementation with the reference implementation. In particular, the
following statements hold now:
- `(s.prev p).byteIdx` is at least `p.byteIdx - 4` and at most
`p.byteIdx - 1`
- `s.prev 0 = 0`
- `s.prev` is monotone

Closes #9439
2025-07-21 10:50:14 +00:00
Sebastian Graf
f3ac38ff2c fix: Close pure, trivial goals in mvcgen (#9362) (#9447)
This PR ensures that `mvcgen` not only tries to close stateful subgoals
by assumption, but also pure Lean goals.

Closes #9362.
2025-07-21 10:12:34 +00:00
Lean stage0 autoupdater
c5a5c5572f chore: update stage0 2025-07-21 05:32:04 +00:00
Cameron Zwarich
2f7c0366f5 perf: treat partial application and eta expansion equally for specialization (#9438) 2025-07-20 14:57:21 +00:00
Cameron Zwarich
1a9757d1f6 refactor: make withReader calls more readable (#9442) 2025-07-20 13:39:35 +00:00
Mac Malone
3aaa3beeee feat: lake: job count in build success message (#9436)
This PR adds the number of jobs run to the final message Lake produces
on a successfully run of `lake build`.


**Examples**
```
Build completed successfully (1 job).
Build completed successfully (6 jobs).
```
2025-07-19 04:59:39 +00:00
Mac Malone
deef4e8e23 feat: lake: libPrefixOnWindows (#9435)
This PR adds the `libPrefixOnWindows` package and library configuration
option. When enabled, Lake will prefix static and shared libraries with
`lib` on Windows (i.e., the same way it does on Unix).
2025-07-19 04:46:42 +00:00
Mac Malone
c660f63748 refactor: lake: restore libs & exes from cache (#9434)
This PR changes the Lake local cache infrastructure to restore
executables and shared and static libraries from the cache. This means
they keep their expected names, which some use cases still rely on.
2025-07-19 03:28:42 +00:00
jrr6
b7e220039f feat: add hints for tuple projections (#9387)
This PR adds a hint to the "invalid projection" message suggesting the
correct nested projection for expressions of the form `t.n` where `t` is
a tuple and `n > 2`.

This feature was originally proposed by @nomeata in #8986.
2025-07-18 23:55:13 +00:00
jrr6
34bd6e8bfd feat: improve split error messages (#9424)
This PR improves the error messages produced by the `split` tactic,
including suggesting syntax fixes and related tactics with which it
might be confused.

Note that, to avoid clashing with the new error message styling
conventions used in these messages, this PR also updates the formatting
of the message produced by `throwTacticEx`.

Closes #6224
2025-07-18 22:36:10 +00:00
Cameron Zwarich
5cd5885da4 fix: make IRType.erased a tobject when boxing it (#9431)
This PR changes `IRType.boxed` to map `erased` to `tobject` rather than
`object`, since `erased` has a representation of a boxed scalar 0 when
we are forced to represent it at runtime. This case does not occur at
all in the Lean codebase.
2025-07-18 20:10:52 +00:00
jrr6
5f4e6a86d5 feat: update and explain "unknown constant" and "failed to infer type" errors (#9423)
This PR updates the formatting of, and adds explanations for, "unknown
identifier" errors as well as "failed to infer type" errors for binders
and definitions.

It attempts to ameliorate some of the confusion encountered in #1592 by
modifying the wording of the "header is elaborated before body is
processed" note and adding further discussion and examples of this
behavior in the corresponding error explanation.
2025-07-18 19:20:31 +00:00
Cameron Zwarich
1043569648 perf: use more precise IR types for overapplication (#9428) 2025-07-18 16:34:19 +00:00
Paul Reichert
383256defa chore: reintroduce Subarray.foldl on top of Slice.foldl (#9234)
An earlier PR (#9017) replaced certain subarray functions such as
`Subarray.foldl` with generic slice functions `Slice.foldl`. For
backward compatibility reasons, This PR reintroduces `Subarray.foldl`
etc. as aliases for the `Slice` versions.
2025-07-18 15:23:50 +00:00
Cameron Zwarich
cdab726e3d refactor: clean up creation of IR over-application (#9426) 2025-07-18 06:11:06 +00:00
Mac Malone
7b9ead4a1a chore: lake: module system tests & fixes (#9422)
This PR adds Lake tests for builds involving the Lean module system and
fixes some bugs encountered in the process. In particular, it fixes the
parsing of private imports and how Lake handles the `import all` of a
private import.
2025-07-18 02:34:13 +00:00
jrr6
6e191720b3 fix: open error explanations in new window in web editor (#9421)
This PR fixes a bug that caused error explanations to "steal" the
Infoview's container in the Lean web editor.
2025-07-17 23:20:35 +00:00
Sebastian Ullrich
9fc31abb1f chore: benchmark using USE_LAKE (#9361) 2025-07-17 18:44:29 +00:00
Markus Himmel
3878d6da85 chore: Grove: bump version (#9419) 2025-07-17 15:02:17 +00:00
Henrik Böving
097952c48f perf: simp subexpr benchmark (#9404)
This PR adds a simp benchmark to our suite, specifically targeting
caching of subexpression
rewriting results.
2025-07-17 11:53:48 +00:00
Sebastian Ullrich
e5730e9b7e refactor: module-ize remainder of Std (#9195) 2025-07-17 11:43:57 +00:00
Sebastian Ullrich
49546687d9 chore: update stage0 2025-07-17 11:54:06 +02:00
Sebastian Ullrich
2c08280854 fix: meta def should never be exposed (#9415) 2025-07-17 11:52:32 +02:00
Mac Malone
ebe68faf7f fix: lake: test script bugs w/ Mathlib & non-Linux (#9397)
This PR fixes some issues with the Lake tests on Windows and macOS. It
also avoids downloading Mathlib in the `init` test, which was currently
doing this after changes to the `math-lax` template in #8866.

To skip the Mathlib download in `init`, an undocumented `--offline`
option was added`. This option is currently meant for internal use only.
2025-07-17 07:08:00 +00:00
Leonardo de Moura
65abbd90bf perf: isArrowProposition (#9414)
This PR increases the number of cases where `isArrowProposition` returns
a result other than `.undef`. This function is used to implement the
`isProof` predicate, which is invoked on every subterm visited by
`simp`.
2025-07-17 04:12:15 +00:00
jrr6
119854e248 feat: add hints for missing structure instance fields (#9317)
This PR adds to the "fields missing" error message for structure
instance notation a code-action hint that inserts all missing fields.
2025-07-17 03:22:34 +00:00
jrr6
442ef6e64c feat: add case name hints (#9316)
This PR adds clickable code-action hints to the "invalid case name"
error message.
2025-07-17 03:22:30 +00:00
jrr6
fb462fdf9e feat: add named argument hints (#9315)
This PR adds improves the "invalid named argument" error message in
function applications and match patterns by providing clickable hints
with valid argument names. In so doing, it also fixes an issue where
this error message would erroneously flag valid match-pattern argument
names.
2025-07-17 03:22:25 +00:00
Cameron Zwarich
d667522524 refactor: remove special cases for subsingleton casesOn (#9412) 2025-07-16 23:41:41 +00:00
Cameron Zwarich
c1b5d54737 feat: compiler support for casesOn of subsingletons (#9411)
This PR adds support for compilation of `casesOn` for subsingletons. We
rely on the elaborator's type checking to restrict this to inductives in
`Prop` that can actually eliminate into `Type n`. This does not yet
cover other recursors of these types (or of inductives not in `Prop` for
that matter).
2025-07-16 23:07:32 +00:00
Sebastian Ullrich
f94d7b333a fix: do not export private instances (#9407)
Fixes #9383
2025-07-16 18:59:48 +00:00
Leonardo de Moura
d7ef2880c8 perf: avoid "dependent implications" as local E-matching theorems in grind (#9408)
This PR implements a simple optimization: dependent implications are no
longer treated as E-matching theorems in `grind`. In
`grind_bitvec2.lean`, this change saves around 3 seconds, as many
dependent implications are generated. Example:
```lean
 ∀ (h : i + 1 ≤ w), x.abs.getLsbD i = x.abs[i]
 ```
2025-07-16 17:13:52 +00:00
Sebastian Ullrich
f3944a3d49 chore: fix test 2025-07-16 17:51:42 +02:00
Sebastian Ullrich
263a77fa89 chore: update stage0 2025-07-16 16:04:47 +02:00
Sebastian Ullrich
2584b6abf9 fix: assorted module system fixes (#9406)
Encountered when porting `Std` and `Lean`
2025-07-16 13:31:08 +00:00
Markus Himmel
ca9b804163 chore: ci: specify which Linux toolchain Grove should download (#9405)
Since the old version of the workflow will run on PRs, we'll have to
"test" this on master.
2025-07-16 13:15:13 +00:00
Henrik Böving
e9ccdeecd0 perf: add a benchmark for simp on local hypotheses (#9403)
This PR adds a benchmark to our suite, specifically targeting the fact
that local hypotheses
are currently not indexed in simp and can thus cause significant
slowdowns compared to having them
as external declarations.
2025-07-16 12:16:29 +00:00
Sebastian Ullrich
2ed4f39ffe chore: adapt core to preceding syntax change 2025-07-16 13:32:11 +02:00
Sebastian Ullrich
1959e6088b chore: update stage0 2025-07-16 13:32:11 +02:00
Sebastian Ullrich
ffbb21a032 fix: order of @[expose] public section
This PR makes the order of `@[expose] public` at `section` consistent with that at `def`
2025-07-16 13:32:11 +02:00
Sebastian Ullrich
e088549330 refactor: module-ize Std.Time (#9100) 2025-07-16 09:57:53 +00:00
Mac Malone
587979341a refactor: lake: optimize module build code for new compiler (#9400)
This PR splits up `Module.recBuildLean` into smaller functions and
optimizes the implementation of `Module.cacheOutputArtifacts` for the
new compiler. Now, all functions within `Lake.Build.Module` take Lean
<1s to compile.
2025-07-16 07:27:34 +00:00
Mac Malone
180bfeaba4 feat: lake: pre-resolve module imports (#9053)
This PR updates Lake to resolve the `.olean` files for transitive
imports for Lean through the `modules` field of `lean --setup`. This
enables means the Lean can now directly use the `.olean` files from the
Lake cache without needed to locate them at a specific hierarchical
path.

Resolving transitive imports still has a performance penalty, but it is
now much less.
2025-07-16 04:21:31 +00:00
Lean stage0 autoupdater
e6cce355e3 chore: update stage0 2025-07-16 04:26:10 +00:00
Cameron Zwarich
e9b75e34b7 perf: decide whether to use _ref variants of inc/dec using IR types (#9399) 2025-07-16 03:52:58 +00:00
Leonardo de Moura
e286f20179 perf: avoid inferType at simpArith (#9398)
This PR avoids the expensive `inferType` call in `simpArith`. It also
cleans up some of the code and removes anti-patterns.
2025-07-16 03:42:26 +00:00
Lean stage0 autoupdater
d4afa3caaa chore: update stage0 2025-07-16 02:48:16 +00:00
Cameron Zwarich
e069c9eb0e perf: use IR type info to decide whether to insert RC ops (#9396)
This is mostly a refactoring that replaces other analyses with type
information, but due to the introduction of `tagged` it also has the
side effect of eliminating ref counting ops entirely for types that
always have a tagged scalar representation, e.g. `Unit`.
2025-07-16 02:02:32 +00:00
Leonardo de Moura
dc2f256448 fix: bug at mkCongrSimpCore? (#9395)
This PR fixes a bug at `mkCongrSimpCore?`. It fixes the issue reported
by @joehendrix at #9388.
The fix is just commit: afc4ba617f. The
rest of the PR is just cleaning up the file.

closes #9388
2025-07-16 00:54:31 +00:00
Cameron Zwarich
62ded77e81 chore: add a new tagged IRType for inline tagged scalars (#9394) 2025-07-16 00:42:56 +00:00
Cameron Zwarich
466e8a6c5e fix: adjust unsafe trick for upcoming optimization (#9393)
This PR fixes an unsafe trick where a sentinel for a hash table of Exprs
(keyed by pointer) is created by constructing a value whose runtime
representation can never be a valid Expr. The value chosen for this
purpose was Unit.unit, which violates the inference that Expr has no
scalar constructors. Instead, we change this to a freshly allocated Unit
× Unit value.
2025-07-16 00:10:01 +00:00
Cameron Zwarich
b131e8b97f chore: adopt tobject IRType (#9392) 2025-07-15 23:56:49 +00:00
Cameron Zwarich
d7ef2a8d1c refactor: add a CtorFieldInfo.object field for the object type (#9390) 2025-07-15 23:18:23 +00:00
jrr6
3b58a7d36b fix: improve error message when projecting from zero-field type (#9386)
This PR improves a confusing error message that occurred when attempting
to project from a zero-field structure.

Closes #9312
2025-07-15 21:32:59 +00:00
jrr6
e9a318df16 fix: reorder "application type mismatch" message (#9287)
This PR rewords the "application type mismatch" error message so that
the argument and its type precede the application expression.
2025-07-15 19:20:18 +00:00
Leonardo de Moura
166d1c0dab perf: avoid isDefEq test at simpEq simproc used in grind (#9385)
This PR replaces the `isDefEq` test in the `simpEq` simproc used in
`grind`. It is too expensive.
2025-07-15 18:38:11 +00:00
Joachim Breitner
0926d27100 chore: fix benchmark added in #9380 (#9384) 2025-07-15 18:24:34 +00:00
Henrik Böving
aa6f22d102 chore: reduce import closure of MPL (#9382)
This PR reduces the import closure of the monadic verification framework
from `Lean.Meta` to only
the submodules actually required.
2025-07-15 16:36:03 +00:00
Joachim Breitner
6adeab2160 chore: add simple simp benchmark (#9380)
A micro-benchmark for plain, mostly first-order rewriting of simp:

This uses axiom to make it independent of specific optimization (e.g.
for `Nat`).

It generates a “list” of 128 `b`s followed by 128 `a` and uses
bubble-sort to to sort it and compares it against the expected output.
2025-07-15 15:04:49 +00:00
Malhar A. Patel
6cbdd6b815 doc: correct the Option.getD docString example (#9190)
This PR corrects the second example in the `Option.getD` docString

Closes #9189
2025-07-15 12:39:58 +00:00
Henrik Böving
a8c0348300 chore: re-simp Std.LawfulEqCmp.compare_eq_iff_eq (#9377)
This PR readds `simp` annotations accidentally lost in previous PRs
2025-07-15 12:10:50 +00:00
Filippo A. E. Nuccio
08d8bed022 doc: fix a typo in Pairwise doc (#9375)
doc: fix a typo in Pairwise doc

This PR fixes a sentence in the Pairwise doc in List/Basic
2025-07-15 11:39:02 +00:00
Henrik Böving
6e9bc1359d fix: don't delay lake logging when cloning a dependency (#9332)
This PR changes the dependency cloning mechanism in lake so the log
message that lake is cloning a
dependency occurs before it is finished doing so (and instead before it
starts). This has been a
huge source of confusion for users that don't understand why lake seems
to be just stuck for no
reason when setting up a new project, the output now is:
```
λ lake +lean4 new math math
info: downloading mathlib `lean-toolchain` file
info: math: no previous manifest, creating one from scratch
info: leanprover-community/mathlib: cloning https://github.com/leanprover-community/mathlib4
<hang>
info: leanprover-community/mathlib: checking out revision 'cd11c28c6a0d514a41dd7be9a862a9c8815f8599'
```
2025-07-15 09:38:35 +00:00
Cameron Zwarich
aac501a645 refactor: split up mkExpr helper in lowerLet (#9374) 2025-07-15 05:26:21 +00:00
Cameron Zwarich
cf94e1b162 refactor: get the type of a literal from lowerLitValue (#9373)
This will let us have value-dependent types in the future for tracking
tagged/boxed values.
2025-07-15 04:46:47 +00:00
Leonardo de Moura
96e7ab078d fix: performance issue when elaborating match-expressions with many literals (#9372)
This PR fixes a performance issue that occurs when generating equation
lemmas for functions that use match-expressions containing several
literals. This issue was exposed by #9322 and arises from a combination
of factors:

1. Literal values are compiled into a chain of dependent if-then-else
expressions.
2. Dependent if-then-else expressions are significantly more expensive
to simplify than regular ones.
3. The `split` tactic selects a target, splits it, and then invokes
`simp` on the resulting subgoals. Moreover, `simp` traverses the entire
goal bottom-up and does not stop after reaching the target.

This PR addresses the issue by introducing a custom simproc that avoids
recursively simplifying nested if-then-else expressions. It does **not**
alter the user-facing behavior of the `split` tactic because such a
change would be highly disruptive. Instead, the PR adds a new flag,
`backward.split` to control the behavior of the user-facing `split`
tactic. It is currently set to `true`, i.e., the old behavior is still
the default one. In a future PR, we should set this flag to `false` by
default and begin repairing all affected proofs.

closes #9322
2025-07-15 03:52:23 +00:00
Cameron Zwarich
9d33f2ad33 chore: make IR.Arg pattern matching more exhaustive (#9370) 2025-07-14 22:46:40 +00:00
Leonardo de Moura
a4b5eecb8e perf: skip unnecessary preprocessing steps in grind when possible (#9369)
This PR optimizes the `grind` preprocessor by skipping unnecessary steps
when possible.
2025-07-14 22:05:02 +00:00
Cameron Zwarich
f224452971 chore: simplify box/unbox casting logic (#9368) 2025-07-14 21:51:09 +00:00
Sebastian Ullrich
caf815b009 feat: improve infer binder type failure message and range (#8263)
This PR improves the message and range of infer binder type failures.

---------

Co-authored-by: Joseph Rotella <7482866+jrr6@users.noreply.github.com>
2025-07-14 20:19:11 +00:00
Cameron Zwarich
c0079fd9dd perf: allow boxed scalars passed to scalar params to be borrowed (#9360) 2025-07-14 19:58:01 +00:00
Leonardo de Moura
cfb13b1689 perf: add unfoldReducible' using inShareCommon (#9367)
This PR implements a minor optimization to the `grind` preprocessor.
2025-07-14 19:04:04 +00:00
jrr6
105843519c doc: expand elab_as_elim docstring and fix typo (#9359)
This PR adds additional information from a recent Zulip thread to the
docstring for the `elab_as_elim` attribute and fixes the associated
example code.

The Zulip thread can be found
[here](https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/what.20is.20.60elab_as_elim.60/with/505631084).
2025-07-14 17:53:42 +00:00
Sebastian Ullrich
97698bfc38 chore: CI: use faster Windows runners for releases (#9357) 2025-07-14 16:26:22 +00:00
Sebastian Ullrich
7f1869016a chore: CI: do not use large runners for secondary jobs (#9352)
macOS in particular is expensive to use large machines for more than
necessary
2025-07-14 15:00:58 +00:00
Markus Himmel
0931033c72 chore: Grove: add some data (#9354) 2025-07-14 10:22:59 +00:00
Markus Himmel
a7789d863c chore: Grove: update and enable on master (#9353) 2025-07-14 09:21:51 +00:00
Leonardo de Moura
bcc6fb54c2 perf: use inShareCommon to skip preprocessing steps (#9351)
This PR optimizes the `grind` preprocessing steps by skipping steps when
the term is already present in the hash-consing table.
2025-07-14 04:53:49 +00:00
Cameron Zwarich
b04ee0de57 chore: remove outdated comments (#9349) 2025-07-14 01:15:36 +00:00
Cameron Zwarich
7a83adf10d refactor: rename mmodifyBody functions to modifyBodyM (#9348) 2025-07-14 01:01:46 +00:00
Leonardo de Moura
d642880b7d chore: remove leftovers (#9347)
after update stage0
2025-07-14 00:40:32 +00:00
Lean stage0 autoupdater
74206c755f chore: update stage0 2025-07-14 00:11:34 +00:00
Leonardo de Moura
c7b4d843e2 refactor: support for Nat in grind cutsat (#9340)
This PR modifies the encoding from `Nat` to `Int` used in `grind
cutsat`. It is simpler, more extensible, and similar to the generic
`ToInt`. After update stage0, we will be able to delete the leftovers.
2025-07-13 23:40:03 +00:00
Cameron Zwarich
c90cc392f7 fix: populate the xType field of FnBody.case (#9344)
This PR correctly populates the `xType` field of the `IR.FnBody.case`
constructor. It turns out that there is no obvious consequence for this
being incorrect, because it is conservatively recomputed by the `Boxing`
pass.
2025-07-13 21:56:07 +00:00
Leonardo de Moura
f298360ff9 refactor: more "efficient" contraint propagation theorems (#9343)
The certificates perform a single pass over the polynomials.
2025-07-13 19:52:43 +00:00
Leni Aniva
275e483885 refactor: Expose DeclNameGenerator idx (#9020)
This PR exposes the internal of DeclNameGenerator to facilitate merger
of two branches of goal state or proof snapshots.
2025-07-13 10:24:04 +00:00
Cameron Zwarich
e87ce2bd5b refactor: rename "irrelevant" to "erased" in IR (#9339)
This matches the terminology used by LCNF.
2025-07-13 04:51:34 +00:00
Cameron Zwarich
3c6a923f1b refactor: use the usize index in the CtorFieldInfo struct (#9337) 2025-07-13 03:05:13 +00:00
Cameron Zwarich
b25ef7682d chore: fix spacing (#9338) 2025-07-13 03:03:50 +00:00
Cameron Zwarich
71b5bf3ef6 fix: include ._closed decls in trace.Compiler.result output (#9336)
This PR changes the implementation of `trace.Compiler.result` to use the
decls as they are provided rather than looking them up in the LCNF mono
environment extension, which was seemingly done to save the trouble of
re-normalizing fvar IDs before printing the decl. This means that the
`._closed` decls created by the `extractClosed` pass will now be
included in the output, which was definitely confusing before if you
didn't know what was happening.
2025-07-13 02:24:00 +00:00
jrr6
8dfc71c4fd chore: remove superfluous whitespace from error message (#9335)
This PR fixes a typo that caused the "cannot infer resulting universe
level of inductive datatype" error message to have leading whitespace.
2025-07-12 23:04:02 +00:00
Leonardo de Moura
243bbd74a5 chore: compilation time for EMatch.lean (#9334)
This PR improves the compilation time for `EMatch.lean`
2025-07-12 22:01:16 +00:00
Cameron Zwarich
aba49508f1 refactor: port IR Checker to CompilerM (and thus CoreM) (#9331) 2025-07-12 15:25:46 +00:00
Leonardo de Moura
ae2a9b4688 perf: propagateEqUp (#9326)
This PR optimizes `propagateEqUp` used in `grind`.
2025-07-12 03:09:59 +00:00
Leonardo de Moura
d36fc8df67 perf: propagateBoolDiseq (#9325)
This PR optimizes the Boolean disequality propagator used in `grind`.
2025-07-12 02:20:48 +00:00
Leonardo de Moura
6c20cd08f1 perf: isDiseq and mkDiseqProof? in grind (#9324)
This PR improves the functions for checking whether two terms are
disequal in `grind`
2025-07-12 01:26:48 +00:00
Cameron Zwarich
46b04c8405 chore: lower Nat.zero in toMono (#9320)
This currently relies on the encoding pun of Nat.zero as the first
tagged constructor of Nat. Since Nat.succ is lowered to addition, it
makes sense to also lower Nat.zero to a zero literal. This might also
expose more optimization opportunities in the future.
2025-07-11 23:25:05 +00:00
Cameron Zwarich
efc101d3b4 chore: move Nat.succ lowering from toIR to toMono (#9319)
It makes more sense to do it here, since `cases` on `Nat` is also
lowered in `toMono`.
2025-07-11 22:49:41 +00:00
Cameron Zwarich
e2e36087e1 refactor: split noncomputable error into its own helper (#9314) 2025-07-11 17:30:22 +00:00
Cameron Zwarich
d4e11f754a chore: clean up loop over ctor fields (#9313) 2025-07-11 16:46:48 +00:00
Cameron Zwarich
837ea41ede fix: correctly compile irrelevant args to relevant ctor params (#9310)
This PR fixes IR constructor argument lowering to correctly handle an
irrelevant argument being passed for a relevant parameter in all cases.
This happened because constructor argument lowering (incompletely)
reimplemented general LCNF-to-IR argument lowering, and the fix is to
just adopt the generic helper functions. This is probably due to an
incomplete refactoring when the new compiler was still on a branch.
2025-07-11 15:29:12 +00:00
simon-dima
5778a3c0f2 chore: fix "isRuntimeBultinType" typo (#9307) 2025-07-11 12:27:07 +00:00
Lean stage0 autoupdater
668a892cdb chore: update stage0 2025-07-11 08:18:55 +00:00
Leonardo de Moura
0fdb63f258 perf: use mkCongrSimpForConst? (#9305)
This PR uses the `mkCongrSimpForConst?` API in `simp` to reduce the
number of times the same congruence lemma is generated. Before this PR,
`grind` would spend `1.5`s creating congruence theorems during
normalization in the `grind_bitvec2.lean` benchmark. It now spends
`0.6`s. This PR should make an even bigger difference after we merge
#9300.
2025-07-11 02:29:20 +00:00
Sebastian Graf
338456e765 feat: help simp and grind reasoning about Std.Do invariants (#9301)
This PR adds a `simp` and a `grind` annotation on `Zipper`-related
theorems to improve reasoning about `Std.Do` invariants.
2025-07-10 15:44:29 +00:00
Tasiro
18a82c04fc fix: remove BEq from (Array|Vector).(any|all)_push (#9285)
This PR removes the unnecessary requirement of `BEq α` for
`Array.any_push`, `Array.any_push'`, `Array.all_push`, `Array.all_push'`
as well as `Vector.any_push` and `Vector.all_push`.
2025-07-10 06:02:14 +00:00
Leonardo de Moura
4520206f4a chore: minor perf improvement (#9296) 2025-07-10 05:41:54 +00:00
3901 changed files with 54142 additions and 21052 deletions

View File

@@ -104,7 +104,7 @@ jobs:
# NOTE: must be in sync with `save` below and with `restore-cache` in `update-stage0.yml`
path: |
.ccache
${{ matrix.name == 'Linux Lake' && false && 'build/stage1/**/*.trace
${{ matrix.name == 'Linux Lake' && 'build/stage1/**/*.trace
build/stage1/**/*.olean*
build/stage1/**/*.ilean
build/stage1/**/*.ir
@@ -119,9 +119,15 @@ jobs:
run: |
ccache --zero-stats
if: runner.os == 'Linux'
- name: Set up NPROC
- name: Set up env
run: |
echo "NPROC=$(nproc 2>/dev/null || sysctl -n hw.logicalcpu 2>/dev/null || echo 4)" >> $GITHUB_ENV
if ! diff src/stdlib_flags.h stage0/src/stdlib_flags.h; then
echo "src/stdlib_flags.h and stage0/src/stdlib_flags.h differ, will test and pack stage 2"
echo "TARGET_STAGE=stage2" >> $GITHUB_ENV
else
echo "TARGET_STAGE=stage1" >> $GITHUB_ENV
fi
- name: Build
run: |
ulimit -c unlimited # coredumps
@@ -142,6 +148,9 @@ jobs:
if [[ -n '${{ matrix.prepare-llvm }}' ]]; then
wget -q ${{ matrix.llvm-url }}
PREPARE="$(${{ matrix.prepare-llvm }})"
if [ "$TARGET_STAGE" == "stage2" ]; then
cp -r stage1 stage2
fi
eval "OPTIONS+=($PREPARE)"
fi
if [[ -n '${{ matrix.release }}' && -n '${{ inputs.nightly }}' ]]; then
@@ -156,10 +165,26 @@ jobs:
fi
# contortion to support empty OPTIONS with old macOS bash
cmake .. --preset ${{ matrix.CMAKE_PRESET || 'release' }} -B . ${{ matrix.CMAKE_OPTIONS }} ${OPTIONS[@]+"${OPTIONS[@]}"} -DLEAN_INSTALL_PREFIX=$PWD/..
time make -j$NPROC
time make $TARGET_STAGE -j$NPROC
# Should be done as early as possible and in particular *before* "Check rebootstrap" which
# changes the state of stage1/
- name: Save Cache
if: steps.restore-cache.outputs.cache-hit != 'true'
uses: actions/cache/save@v4
with:
# NOTE: must be in sync with `restore` above
path: |
.ccache
${{ matrix.name == 'Linux Lake' && 'build/stage1/**/*.trace
build/stage1/**/*.olean*
build/stage1/**/*.ilean
build/stage1/**/*.ir
build/stage1/**/*.c
build/stage1/**/*.c.o*' || '' }}
key: ${{ steps.restore-cache.outputs.cache-primary-key }}
- name: Install
run: |
make -C build install
make -C build/$TARGET_STAGE install
- name: Check Binaries
run: ${{ matrix.binary-check }} lean-*/bin/* || true
- name: Count binary symbols
@@ -190,18 +215,18 @@ jobs:
path: pack/*
- name: Lean stats
run: |
build/stage1/bin/lean --stats src/Lean.lean
build/stage1/bin/lean --stats src/Lean.lean -Dexperimental.module=true
if: ${{ !matrix.cross }}
- name: Test
id: test
run: |
ulimit -c unlimited # coredumps
time ctest --preset ${{ matrix.CMAKE_PRESET || 'release' }} --test-dir build/stage1 -j$NPROC --output-junit test-results.xml ${{ matrix.CTEST_OPTIONS }}
time ctest --preset ${{ matrix.CMAKE_PRESET || 'release' }} --test-dir build/$TARGET_STAGE -j$NPROC --output-junit test-results.xml
if: (matrix.wasm || !matrix.cross) && (inputs.check-level >= 1 || matrix.test)
- name: Test Summary
uses: test-summary/action@v2
with:
paths: build/stage1/test-results.xml
paths: build/${{ env.TARGET_STAGE }}/test-results.xml
# prefix `if` above with `always` so it's run even if tests failed
if: always() && steps.test.conclusion != 'skipped'
- name: Check Test Binary
@@ -226,8 +251,13 @@ jobs:
if: matrix.test-speedcenter
- name: Check rebootstrap
run: |
# clean rebuild in case of Makefile changes
make -C build update-stage0 && rm -rf build/stage* && make -C build -j$NPROC
set -e
# clean rebuild in case of Makefile changes/Lake does not detect uncommited stage 0
# changes yet
make -C build update-stage0
make -C build/stage1 clean-stdlib
time make -C build -j$NPROC
time ctest --preset ${{ matrix.CMAKE_PRESET || 'release' }} --test-dir build/stage1 -j$NPROC
if: matrix.check-rebootstrap
- name: CCache stats
if: always()
@@ -239,17 +269,3 @@ jobs:
progbin="$(file $c | sed "s/.*execfn: '\([^']*\)'.*/\1/")"
echo bt | $GDB/bin/gdb -q $progbin $c || true
done
- name: Save Cache
if: always() && steps.restore-cache.outputs.cache-hit != 'true'
uses: actions/cache/save@v4
with:
# NOTE: must be in sync with `restore` above
path: |
.ccache
${{ matrix.name == 'Linux Lake' && false && 'build/stage1/**/*.trace
build/stage1/**/*.olean*
build/stage1/**/*.ilean
build/stage1/**/*.ir
build/stage1/**/*.c
build/stage1/**/*.c.o*' || '' }}
key: ${{ steps.restore-cache.outputs.cache-primary-key }}

View File

@@ -165,7 +165,7 @@ jobs:
{
// portable release build: use channel with older glibc (2.26)
"name": "Linux release",
"os": large && level < 2 ? "nscloud-ubuntu-22.04-amd64-4x16" : "ubuntu-latest",
"os": "ubuntu-latest",
"release": true,
// Special handling for release jobs. We want:
// 1. To run it in PRs so developers get PR toolchains (so secondary is sufficient)
@@ -181,7 +181,9 @@ jobs:
"prepare-llvm": "../script/prepare-llvm-linux.sh lean-llvm*",
"binary-check": "ldd -v",
// foreign code may be linked against more recent glibc
"CTEST_OPTIONS": "-E 'foreign'"
"CTEST_OPTIONS": "-E 'foreign'",
// not compatible with `prepare-llvm` currently
"CMAKE_OPTIONS": "-DUSE_LAKE=OFF",
},
{
"name": "Linux Lake",
@@ -192,6 +194,7 @@ jobs:
"check-stage3": level >= 2,
// NOTE: `test-speedcenter` currently seems to be broken on `ubuntu-latest`
"test-speedcenter": large && level >= 2,
// made explicit until it can be assumed to have propagated to PRs
"CMAKE_OPTIONS": "-DUSE_LAKE=ON",
},
{
@@ -221,12 +224,14 @@ jobs:
"llvm-url": "https://github.com/leanprover/lean-llvm/releases/download/19.1.2/lean-llvm-x86_64-apple-darwin.tar.zst",
"prepare-llvm": "../script/prepare-llvm-macos.sh lean-llvm*",
"binary-check": "otool -L",
"tar": "gtar" // https://github.com/actions/runner-images/issues/2619
"tar": "gtar", // https://github.com/actions/runner-images/issues/2619
// not compatible with `prepare-llvm` currently
"CMAKE_OPTIONS": "-DUSE_LAKE=OFF",
},
{
"name": "macOS aarch64",
// standard GH runner only comes with 7GB so use large runner if possible
"os": large ? "nscloud-macos-sonoma-arm64-6x14" : "macos-14",
// standard GH runner only comes with 7GB so use large runner if possible when running tests
"os": large && !isPr ? "nscloud-macos-sonoma-arm64-6x14" : "macos-14",
"CMAKE_OPTIONS": "-DLEAN_INSTALL_SUFFIX=-darwin_aarch64",
"release": true,
"shell": "bash -euxo pipefail {0}",
@@ -234,13 +239,15 @@ jobs:
"prepare-llvm": "../script/prepare-llvm-macos.sh lean-llvm*",
"binary-check": "otool -L",
"tar": "gtar", // https://github.com/actions/runner-images/issues/2619
// See above for release job levels
// See "Linux release" for release job levels; Grove is not a concern here
"check-level": isPr ? 0 : 2,
"secondary": isPr,
// not compatible with `prepare-llvm` currently
"CMAKE_OPTIONS": "-DUSE_LAKE=OFF",
},
{
"name": "Windows",
"os": "windows-2022",
"os": large && level == 2 ? "namespace-profile-windows-amd64-4x16" : "windows-2022",
"release": true,
"check-level": 2,
"shell": "msys2 {0}",
@@ -249,7 +256,9 @@ jobs:
"CTEST_OPTIONS": "--repeat until-pass:2",
"llvm-url": "https://github.com/leanprover/lean-llvm/releases/download/19.1.2/lean-llvm-x86_64-w64-windows-gnu.tar.zst",
"prepare-llvm": "../script/prepare-llvm-mingw.sh lean-llvm*",
"binary-check": "ldd"
"binary-check": "ldd",
// not compatible with `prepare-llvm` currently
"CMAKE_OPTIONS": "-DUSE_LAKE=OFF",
},
{
"name": "Linux aarch64",
@@ -259,7 +268,9 @@ jobs:
"check-level": 2,
"shell": "nix develop .#oldGlibcAArch -c bash -euxo pipefail {0}",
"llvm-url": "https://github.com/leanprover/lean-llvm/releases/download/19.1.2/lean-llvm-aarch64-linux-gnu.tar.zst",
"prepare-llvm": "../script/prepare-llvm-linux.sh lean-llvm*"
"prepare-llvm": "../script/prepare-llvm-linux.sh lean-llvm*",
// not compatible with `prepare-llvm` currently
"CMAKE_OPTIONS": "-DUSE_LAKE=OFF",
},
// Started running out of memory building expensive modules, a 2GB heap is just not that much even before fragmentation
//{

View File

@@ -30,8 +30,8 @@ jobs:
# Check if it's a push to master (no PR number and target branch is master)
if [ -z "${{ steps.workflow-info.outputs.pullRequestNumber }}" ]; then
if [ "${{ github.event.workflow_run.head_branch }}" = "master" ]; then
echo "Push to master detected. Skipping for now, to be enabled later."
echo "should-run=false" >> "$GITHUB_OUTPUT"
echo "Push to master detected. Running Grove."
echo "should-run=true" >> "$GITHUB_OUTPUT"
else
echo "Push to non-master branch, skipping"
echo "should-run=false" >> "$GITHUB_OUTPUT"
@@ -40,7 +40,7 @@ jobs:
# Check if it's a PR with grove label
PR_LABELS='${{ steps.workflow-info.outputs.pullRequestLabels }}'
if echo "$PR_LABELS" | grep -q '"grove"'; then
echo "PR with grove label detected"
echo "PR with grove label detected. Running Grove."
echo "should-run=true" >> "$GITHUB_OUTPUT"
else
echo "PR without grove label, skipping"
@@ -51,7 +51,7 @@ jobs:
- name: Fetch upstream invalidated facts
if: ${{ steps.should-run.outputs.should-run == 'true' && steps.workflow-info.outputs.pullRequestNumber != '' }}
id: fetch-upstream
uses: TwoFx/grove-action/fetch-upstream@v0.3
uses: TwoFx/grove-action/fetch-upstream@v0.4
with:
artifact-name: grove-invalidated-facts
base-ref: master
@@ -64,7 +64,7 @@ jobs:
commit: ${{ steps.workflow-info.outputs.sourceHeadSha }}
workflow: ci.yml
path: artifacts
name: build-Linux.*
name: "build-Linux release"
name_is_regexp: true
- name: Unpack toolchain
@@ -95,7 +95,7 @@ jobs:
- name: Build
if: ${{ steps.should-run.outputs.should-run == 'true' }}
id: build
uses: TwoFx/grove-action/build@v0.3
uses: TwoFx/grove-action/build@v0.4
with:
project-path: doc/std/grove
script-name: grove-stdlib

View File

@@ -57,9 +57,14 @@ jobs:
uses: actions/cache/restore@v4
with:
# NOTE: must be in sync with `restore-cache` in `build-template.yml`
# TODO: actually switch to USE_LAKE once it caches more; for now it just caches more often than any other build type so let's use its cache
path: |
.ccache
build/stage1/**/*.trace
build/stage1/**/*.olean*
build/stage1/**/*.ilean
build/stage1/**/*.ir
build/stage1/**/*.c
build/stage1/**/*.c.o*
key: Linux Lake-build-v3-${{ github.sha }}
# fall back to (latest) previous cache
restore-keys: |

View File

@@ -147,6 +147,10 @@ add_custom_target(test
COMMAND $(MAKE) -C stage1 test
DEPENDS stage1)
add_custom_target(clean-stdlib
COMMAND $(MAKE) -C stage1 clean-stdlib
DEPENDS stage1)
install(CODE "execute_process(COMMAND make -C stage1 install)")
add_custom_target(check-stage3

View File

@@ -48,3 +48,7 @@
/src/Std/Do @sgraf812
/src/Std/Tactic/Do @sgraf812
/src/Lean/Elab/Tactic/Do @sgraf812
/src/Init/Data/Range/Polymorphic @datokrat
/src/Init/Data/Slice @datokrat
/src/Init/Data/Iterators @datokrat
/src/Std/Data/Iterators @datokrat

View File

@@ -1,6 +1,6 @@
# Lean Build Bootstrapping
Since version 4, Lean is a partially bootstrapped program: most parts of the
Lean is a bootstrapped program: the
frontend and compiler are written in Lean itself and thus need to be built before
building Lean itself - which is needed to again build those parts. This cycle is
broken by using pre-built C files checked into the repository (which ultimately
@@ -73,6 +73,11 @@ update the archived C source code of the stage 0 compiler in `stage0/src`.
The github repository will automatically update stage0 on `master` once
`src/stdlib_flags.h` and `stage0/src/stdlib_flags.h` are out of sync.
NOTE: A full rebuild of stage 1 will only be triggered when the *committed* contents of `stage0/` are changed.
Thus if you change files in it manually instead of through `update-stage0-commit` (see below) or fetching updates from git, you either need to commit those changes first or run `make -C build/release clean-stdlib`.
The same is true for further stages except that a rebuild of them is retriggered on any committed change, not just to a specific directory.
Thus when debugging e.g. stage 2 failures, you can resume the build from these failures on but may want to explicitly call `clean-stdlib` to either observe changes from `.olean` files of modules that built successfully or to check that you did not break modules that built successfully at some prior point.
If you have write access to the lean4 repository, you can also manually
trigger that process, for example to be able to use new features in the compiler itself.
You can do that on <https://github.com/leanprover/lean4/actions/workflows/update-stage0.yml>
@@ -82,13 +87,13 @@ gh workflow run update-stage0.yml
```
Leaving stage0 updates to the CI automation is preferable, but should you need
to do it locally, you can use `make update-stage0-commit` in `build/release` to
update `stage0` from `stage1` or `make -C stageN update-stage0-commit` to
to do it locally, you can use `make -C build/release update-stage0-commit` to
update `stage0` from `stage1` or `make -C build/release/stageN update-stage0-commit` to
update from another stage. This command will automatically stage the updated files
and introduce a commit,so make sure to commit your work before that.
and introduce a commit, so make sure to commit your work before that.
If you rebased the branch (either onto a newer version of `master`, or fixing
up some commits prior to the stage0 update, recreate the stage0 update commits.
up some commits prior to the stage0 update), recreate the stage0 update commits.
The script `script/rebase-stage0.sh` can be used for that.
The CI should prevent PRs with changes to stage0 (besides `stdlib_flags.h`)

View File

@@ -9,7 +9,7 @@ You should not edit the `stage0` directory except using the commands described i
## Development Setup
You can use any of the [supported editors](../setup.md) for editing the Lean source code.
If you set up `elan` as below, opening `src/` as a *workspace folder* should ensure that stage 0 (i.e. the stage that first compiles `src/`) will be used for files in that directory.
Please see below for specific instructions for VS Code.
### Dev setup using elan
@@ -68,6 +68,10 @@ code lean.code-workspace
```
on the command line.
You can use the `Refresh File Dependencies` command as in other projects to rebuild modules from inside VS Code but be aware that this does not trigger any non-Lake build targets.
In particular, after updating `stage0/` (or fetching an update to it), you will want to invoke `make` directly to rebuild `stage0/bin/lean` as described in [building Lean](../make/index.md).
You should then run the `Restart Server` command to update all open files and the server watchdog process as well.
### `ccache`
Lean's build process uses [`ccache`](https://ccache.dev/) if it is

View File

@@ -282,7 +282,7 @@ theorem BinTree.find_insert_of_ne (b : BinTree β) (ne : k ≠ k') (v : β)
let t, h := b; simp
induction t with simp
| leaf =>
intros le
intro le
exact Nat.lt_of_le_of_ne le ne
| node left key value right ihl ihr =>
let .node hl hr bl br := h

View File

@@ -44,12 +44,12 @@ Useful CMake Configuration Settings
Pass these along with the `cmake --preset release` command.
There are also two alternative presets that combine some of these options you can use instead of `release`: `debug` and `sandebug` (sanitize + debug).
* `-D CMAKE_BUILD_TYPE=`\
* `-DCMAKE_BUILD_TYPE=`\
Select the build type. Valid values are `RELEASE` (default), `DEBUG`,
`RELWITHDEBINFO`, and `MINSIZEREL`.
* `-D CMAKE_C_COMPILER=`\
`-D CMAKE_CXX_COMPILER=`\
* `-DCMAKE_C_COMPILER=`\
`-DCMAKE_CXX_COMPILER=`\
Select the C/C++ compilers to use. Official Lean releases currently use Clang;
see also `.github/workflows/ci.yml` for the CI config.

View File

@@ -1,4 +1,4 @@
# Install Packages on OS X 14.5
# Install Packages on OS X
We assume that you are using [homebrew][homebrew] as a package manager.
@@ -6,23 +6,23 @@ We assume that you are using [homebrew][homebrew] as a package manager.
## Compilers
You need a C++11-compatible compiler to build Lean. As of November
2014, you have three options:
You need a C++14-compatible compiler to build Lean. As of July
2025, you have three options:
- clang++-3.5 (shipped with OSX, Apple LLVM version 6.0)
- gcc-4.9.1 (homebrew)
- clang++-3.5 (homebrew)
- clang++ shipped with OSX (at time of writing v17.0.0)
- clang++ via homebrew (at time of writing, v20.1.8)
- gcc via homebrew (at time of writing, v15.1.0)
We recommend to use Apple's clang++ because it is pre-shipped with OS
X and requires no further installation.
To install gcc-4.9.1 via homebrew, please execute:
To install gcc via homebrew, please execute:
```bash
brew install gcc
```
To install clang++-3.5 via homebrew, please execute:
To install clang via homebrew, please execute:
```bash
brew install llvm
brew install llvm lld
```
To use compilers other than the default one (Apple's clang++), you
need to use `-DCMAKE_CXX_COMPILER` option to specify the compiler

View File

@@ -1,5 +1,9 @@
import Grove.Framework
import GroveStdlib.Generated.«associative-query-operations»
import GroveStdlib.Generated.«associative-creation-operations»
import GroveStdlib.Generated.«associative-modification-operations»
import GroveStdlib.Generated.«associative-create-then-query»
import GroveStdlib.Generated.«associative-all-operations-covered»
/-
This file is autogenerated by grove. You can manually edit it, for example to resolve merge
@@ -12,3 +16,7 @@ namespace GroveStdlib.Generated
def restoreState : RestoreStateM Unit := do
«associative-query-operations».restoreState
«associative-creation-operations».restoreState
«associative-modification-operations».restoreState
«associative-create-then-query».restoreState
«associative-all-operations-covered».restoreState

View File

@@ -0,0 +1,34 @@
import Grove.Framework
/-
This file is autogenerated by grove. You can manually edit it, for example to resolve merge
conflicts, but be careful.
-/
open Grove.Framework Widget
namespace GroveStdlib.Generated.«associative-all-operations-covered»
def «all-covered» : Assertion.Fact where
widgetId := "associative-all-operations-covered"
factId := "all-covered"
assertionId := "all-covered"
state := {
assertionId := "all-covered"
description := "All operations should be covered"
passed := false
message := "There were 19697 operations that were not covered."
}
metadata := {
status := .bad
comment := "Still missing some!"
}
def table : Assertion.Data where
widgetId := "associative-all-operations-covered"
facts := #[
«all-covered»,
]
def restoreState : RestoreStateM Unit := do
addAssertion table

View File

@@ -0,0 +1,357 @@
import Grove.Framework
/-
This file is autogenerated by grove. You can manually edit it, for example to resolve merge
conflicts, but be careful.
-/
open Grove.Framework Widget
namespace GroveStdlib.Generated.«associative-create-then-query»
def «2cb3c441-9663-4ce7-9527-0f40fc29925a:::01f88623-fa5f-4380-9772-b30f2fec5c94:::Std.DHashMap::Std.DHashMap.Raw::Std.ExtDHashMap::Std.DTreeMap::Std.DTreeMap.Raw::Std.ExtDTreeMap» : Table.Fact .subexpression .subexpression .declaration where
widgetId := "associative-create-then-query"
factId := "2cb3c441-9663-4ce7-9527-0f40fc29925a:::01f88623-fa5f-4380-9772-b30f2fec5c94:::Std.DHashMap::Std.DHashMap.Raw::Std.ExtDHashMap::Std.DTreeMap::Std.DTreeMap.Raw::Std.ExtDTreeMap"
rowAssociationId := "2cb3c441-9663-4ce7-9527-0f40fc29925a"
columnAssociationId := "01f88623-fa5f-4380-9772-b30f2fec5c94"
selectedLayers := #["Std.DHashMap", "Std.DHashMap.Raw", "Std.ExtDHashMap", "Std.DTreeMap", "Std.DTreeMap.Raw", "Std.ExtDTreeMap", ]
layerStates := #[
{
layerIdentifier := "Std.DHashMap"
rowState :=
some "Std.DHashMap.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.emptyWithCapacity,
renderedStatement := "Std.DHashMap.emptyWithCapacity.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α]\n (capacity : Nat := 8) : Std.DHashMap α β",
isDeprecated := false })
columnState :=
some "Std.DHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.isEmpty,
renderedStatement := "Std.DHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n (m : Std.DHashMap α β) : Bool",
isDeprecated := false })
selectedCellStates := #[
]
},
{
layerIdentifier := "Std.DHashMap.Raw"
rowState :=
some "Std.DHashMap.Raw.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.Raw.emptyWithCapacity,
renderedStatement := "Std.DHashMap.Raw.emptyWithCapacity.{u, v} {α : Type u} {β : α → Type v} (capacity : Nat := 8) :\n Std.DHashMap.Raw α β",
isDeprecated := false })
columnState :=
some "Std.DHashMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.Raw.isEmpty,
renderedStatement := "Std.DHashMap.Raw.isEmpty.{u, v} {α : Type u} {β : α → Type v} (m : Std.DHashMap.Raw α β) : Bool",
isDeprecated := false })
selectedCellStates := #[
]
},
{
layerIdentifier := "Std.ExtDHashMap"
rowState :=
some "Std.ExtDHashMap.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDHashMap.emptyWithCapacity,
renderedStatement := "Std.ExtDHashMap.emptyWithCapacity.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α]\n (capacity : Nat := 8) : Std.ExtDHashMap α β",
isDeprecated := false })
columnState :=
some "Std.ExtDHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDHashMap.isEmpty,
renderedStatement := "Std.ExtDHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n [EquivBEq α] [LawfulHashable α] (m : Std.ExtDHashMap α β) : Bool",
isDeprecated := false })
selectedCellStates := #[
]
},
{
layerIdentifier := "Std.DTreeMap"
rowState :=
some "Std.DTreeMap.empty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.empty,
renderedStatement := "Std.DTreeMap.empty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} :\n Std.DTreeMap α β cmp",
isDeprecated := false })
columnState :=
some "Std.DTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.isEmpty,
renderedStatement := "Std.DTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.DTreeMap α β cmp) : Bool",
isDeprecated := false })
selectedCellStates := #[
]
},
{
layerIdentifier := "Std.DTreeMap.Raw"
rowState :=
some "Std.DTreeMap.Raw.empty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.empty,
renderedStatement := "Std.DTreeMap.Raw.empty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} :\n Std.DTreeMap.Raw α β cmp",
isDeprecated := false })
columnState :=
some "Std.DTreeMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.isEmpty,
renderedStatement := "Std.DTreeMap.Raw.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.DTreeMap.Raw α β cmp) : Bool",
isDeprecated := false })
selectedCellStates := #[
]
},
{
layerIdentifier := "Std.ExtDTreeMap"
rowState :=
some "Std.ExtDTreeMap.empty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.empty,
renderedStatement := "Std.ExtDTreeMap.empty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} :\n Std.ExtDTreeMap α β cmp",
isDeprecated := false })
columnState :=
some "Std.ExtDTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.isEmpty,
renderedStatement := "Std.ExtDTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.ExtDTreeMap α β cmp) : Bool",
isDeprecated := false })
selectedCellStates := #[
]
},
]
metadata := {
status := .done
comment := "Not necessary for `ExtDHashMap` because of simp lemma turning into varno"
}
def «5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d:::01f88623-fa5f-4380-9772-b30f2fec5c94:::Std.DHashMap::Std.DHashMap.Raw::Std.ExtDHashMap::Std.DTreeMap::Std.DTreeMap.Raw::Std.ExtDTreeMap» : Table.Fact .subexpression .subexpression .declaration where
widgetId := "associative-create-then-query"
factId := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d:::01f88623-fa5f-4380-9772-b30f2fec5c94:::Std.DHashMap::Std.DHashMap.Raw::Std.ExtDHashMap::Std.DTreeMap::Std.DTreeMap.Raw::Std.ExtDTreeMap"
rowAssociationId := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d"
columnAssociationId := "01f88623-fa5f-4380-9772-b30f2fec5c94"
selectedLayers := #["Std.DHashMap", "Std.DHashMap.Raw", "Std.ExtDHashMap", "Std.DTreeMap", "Std.DTreeMap.Raw", "Std.ExtDTreeMap", ]
layerStates := #[
{
layerIdentifier := "Std.DHashMap"
rowState :=
some "app (EmptyCollection.emptyCollection) (Std.DHashMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.DHashMap*)", displayShort := "" }
columnState :=
some "Std.DHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.isEmpty,
renderedStatement := "Std.DHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n (m : Std.DHashMap α β) : Bool",
isDeprecated := false })
selectedCellStates := #[
"Std.DHashMap.isEmpty_empty", Grove.Framework.Declaration.thm
{ name := `Std.DHashMap.isEmpty_empty,
renderedStatement := "Std.DHashMap.isEmpty_empty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} :\n ∅.isEmpty = true",
isSimp := true,
isDeprecated := false }
,
]
},
{
layerIdentifier := "Std.DHashMap.Raw"
rowState :=
some "app (EmptyCollection.emptyCollection) (Std.DHashMap.Raw*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.DHashMap.Raw*)", displayShort := "" }
columnState :=
some "Std.DHashMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.Raw.isEmpty,
renderedStatement := "Std.DHashMap.Raw.isEmpty.{u, v} {α : Type u} {β : α → Type v} (m : Std.DHashMap.Raw α β) : Bool",
isDeprecated := false })
selectedCellStates := #[
"Std.DHashMap.Raw.isEmpty_emptyc", Grove.Framework.Declaration.thm
{ name := `Std.DHashMap.Raw.isEmpty_emptyc,
renderedStatement := "Std.DHashMap.Raw.isEmpty_emptyc.{u_1, u_2} {α : Type u_1} {β : α → Type u_2} [BEq α] [Hashable α] :\n ∅.isEmpty = true",
isSimp := false,
isDeprecated := true }
,
]
},
{
layerIdentifier := "Std.ExtDHashMap"
rowState :=
some "app (EmptyCollection.emptyCollection) (Std.ExtDHashMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.ExtDHashMap*)", displayShort := "" }
columnState :=
some "Std.ExtDHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDHashMap.isEmpty,
renderedStatement := "Std.ExtDHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n [EquivBEq α] [LawfulHashable α] (m : Std.ExtDHashMap α β) : Bool",
isDeprecated := false })
selectedCellStates := #[
]
},
{
layerIdentifier := "Std.DTreeMap"
rowState :=
some "app (EmptyCollection.emptyCollection) (Std.DTreeMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.DTreeMap*)", displayShort := "" }
columnState :=
some "Std.DTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.isEmpty,
renderedStatement := "Std.DTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.DTreeMap α β cmp) : Bool",
isDeprecated := false })
selectedCellStates := #[
"Std.DTreeMap.isEmpty_emptyc", Grove.Framework.Declaration.thm
{ name := `Std.DTreeMap.isEmpty_emptyc,
renderedStatement := "Std.DTreeMap.isEmpty_emptyc.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} :\n ∅.isEmpty = true",
isSimp := true,
isDeprecated := false }
,
]
},
{
layerIdentifier := "Std.DTreeMap.Raw"
rowState :=
some "app (EmptyCollection.emptyCollection) (Std.DTreeMap.Raw*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.DTreeMap.Raw*)", displayShort := "" }
columnState :=
some "Std.DTreeMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.isEmpty,
renderedStatement := "Std.DTreeMap.Raw.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.DTreeMap.Raw α β cmp) : Bool",
isDeprecated := false })
selectedCellStates := #[
"Std.DTreeMap.Raw.isEmpty_emptyc", Grove.Framework.Declaration.thm
{ name := `Std.DTreeMap.Raw.isEmpty_emptyc,
renderedStatement := "Std.DTreeMap.Raw.isEmpty_emptyc.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} :\n ∅.isEmpty = true",
isSimp := true,
isDeprecated := false }
,
]
},
{
layerIdentifier := "Std.ExtDTreeMap"
rowState :=
some "app (EmptyCollection.emptyCollection) (Std.ExtDTreeMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.ExtDTreeMap*)", displayShort := "" }
columnState :=
some "Std.ExtDTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.isEmpty,
renderedStatement := "Std.ExtDTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.ExtDTreeMap α β cmp) : Bool",
isDeprecated := false })
selectedCellStates := #[
"Std.ExtDTreeMap.isEmpty_empty", Grove.Framework.Declaration.thm
{ name := `Std.ExtDTreeMap.isEmpty_empty,
renderedStatement := "Std.ExtDTreeMap.isEmpty_empty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} :\n ∅.isEmpty = true",
isSimp := true,
isDeprecated := false }
,
]
},
]
metadata := {
status := .bad
comment := "Missing for `ExtDHashMap`"
}
def table : Table.Data .subexpression .subexpression .declaration where
widgetId := "associative-create-then-query"
selectedRowAssociations := #["2cb3c441-9663-4ce7-9527-0f40fc29925a", "7743a485-024d-43b6-bd5f-ebd3182eb94d", "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d", ]
selectedColumnAssociations := #["01f88623-fa5f-4380-9772-b30f2fec5c94", "f084f852-af71-45b6-8ab3-d251a8144f72", ]
selectedLayers := #["Std.DHashMap", "Std.DHashMap.Raw", "Std.ExtDHashMap", "Std.DTreeMap", "Std.DTreeMap.Raw", "Std.ExtDTreeMap", ]
selectedCellOptions := #[
{
layerIdentifier := "Std.DHashMap"
rowValue := "2cb3c441-9663-4ce7-9527-0f40fc29925a"
columnValue := "01f88623-fa5f-4380-9772-b30f2fec5c94"
selectedCellOptions := #["Std.DHashMap.isEmpty_emptyWithCapacity", ]
},
{
layerIdentifier := "Std.DHashMap.Raw"
rowValue := "2cb3c441-9663-4ce7-9527-0f40fc29925a"
columnValue := "01f88623-fa5f-4380-9772-b30f2fec5c94"
selectedCellOptions := #["Std.DHashMap.Raw.isEmpty_emptyWithCapacity", ]
},
{
layerIdentifier := "Std.DHashMap"
rowValue := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d"
columnValue := "01f88623-fa5f-4380-9772-b30f2fec5c94"
selectedCellOptions := #["Std.DHashMap.isEmpty_empty", ]
},
{
layerIdentifier := "Std.DHashMap.Raw"
rowValue := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d"
columnValue := "01f88623-fa5f-4380-9772-b30f2fec5c94"
selectedCellOptions := #["Std.DHashMap.Raw.isEmpty_emptyc", ]
},
{
layerIdentifier := "Std.DTreeMap"
rowValue := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d"
columnValue := "01f88623-fa5f-4380-9772-b30f2fec5c94"
selectedCellOptions := #["Std.DTreeMap.isEmpty_emptyc", ]
},
{
layerIdentifier := "Std.DTreeMap.Raw"
rowValue := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d"
columnValue := "01f88623-fa5f-4380-9772-b30f2fec5c94"
selectedCellOptions := #["Std.DTreeMap.Raw.isEmpty_emptyc", ]
},
{
layerIdentifier := "Std.ExtDTreeMap"
rowValue := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d"
columnValue := "01f88623-fa5f-4380-9772-b30f2fec5c94"
selectedCellOptions := #["Std.ExtDTreeMap.isEmpty_empty", ]
},
]
facts := #[
«2cb3c441-9663-4ce7-9527-0f40fc29925a:::01f88623-fa5f-4380-9772-b30f2fec5c94:::Std.DHashMap::Std.DHashMap.Raw::Std.ExtDHashMap::Std.DTreeMap::Std.DTreeMap.Raw::Std.ExtDTreeMap»,
«5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d:::01f88623-fa5f-4380-9772-b30f2fec5c94:::Std.DHashMap::Std.DHashMap.Raw::Std.ExtDHashMap::Std.DTreeMap::Std.DTreeMap.Raw::Std.ExtDTreeMap»,
]
def restoreState : RestoreStateM Unit := do
addTable table

View File

@@ -0,0 +1,216 @@
import Grove.Framework
/-
This file is autogenerated by grove. You can manually edit it, for example to resolve merge
conflicts, but be careful.
-/
open Grove.Framework Widget
namespace GroveStdlib.Generated.«associative-creation-operations»
def «2cb3c441-9663-4ce7-9527-0f40fc29925a» : AssociationTable.Fact .subexpression where
widgetId := "associative-creation-operations"
factId := "2cb3c441-9663-4ce7-9527-0f40fc29925a"
rowId := "2cb3c441-9663-4ce7-9527-0f40fc29925a"
rowState := #["Std.DHashMap", "Std.DHashMap.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.emptyWithCapacity,
renderedStatement := "Std.DHashMap.emptyWithCapacity.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α]\n (capacity : Nat := 8) : Std.DHashMap α β",
isDeprecated := false }),"Std.DHashMap.Raw", "Std.DHashMap.Raw.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.Raw.emptyWithCapacity,
renderedStatement := "Std.DHashMap.Raw.emptyWithCapacity.{u, v} {α : Type u} {β : α → Type v} (capacity : Nat := 8) :\n Std.DHashMap.Raw α β",
isDeprecated := false }),"Std.ExtDHashMap", "Std.ExtDHashMap.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDHashMap.emptyWithCapacity,
renderedStatement := "Std.ExtDHashMap.emptyWithCapacity.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α]\n (capacity : Nat := 8) : Std.ExtDHashMap α β",
isDeprecated := false }),"Std.DTreeMap", "Std.DTreeMap.empty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.empty,
renderedStatement := "Std.DTreeMap.empty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} :\n Std.DTreeMap α β cmp",
isDeprecated := false }),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.empty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.empty,
renderedStatement := "Std.DTreeMap.Raw.empty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} :\n Std.DTreeMap.Raw α β cmp",
isDeprecated := false }),"Std.ExtDTreeMap", "Std.ExtDTreeMap.empty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.empty,
renderedStatement := "Std.ExtDTreeMap.empty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} :\n Std.ExtDTreeMap α β cmp",
isDeprecated := false }),"Std.HashMap", "Std.HashMap.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashMap.emptyWithCapacity,
renderedStatement := "Std.HashMap.emptyWithCapacity.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α]\n (capacity : Nat := 8) : Std.HashMap α β",
isDeprecated := false }),"Std.HashMap.Raw", "Std.HashMap.Raw.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashMap.Raw.emptyWithCapacity,
renderedStatement := "Std.HashMap.Raw.emptyWithCapacity.{u, v} {α : Type u} {β : Type v} (capacity : Nat := 8) :\n Std.HashMap.Raw α β",
isDeprecated := false }),"Std.ExtHashMap", "Std.ExtHashMap.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtHashMap.emptyWithCapacity,
renderedStatement := "Std.ExtHashMap.emptyWithCapacity.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α]\n (capacity : Nat := 8) : Std.ExtHashMap α β",
isDeprecated := false }),"Std.TreeMap", "Std.TreeMap.empty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.empty,
renderedStatement := "Std.TreeMap.empty.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} : Std.TreeMap α β cmp",
isDeprecated := false }),"Std.TreeMap.Raw", "Std.TreeMap.Raw.empty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.Raw.empty,
renderedStatement := "Std.TreeMap.Raw.empty.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} :\n Std.TreeMap.Raw α β cmp",
isDeprecated := false }),"Std.ExtTreeMap", "Std.ExtTreeMap.empty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeMap.empty,
renderedStatement := "Std.ExtTreeMap.empty.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} :\n Std.ExtTreeMap α β cmp",
isDeprecated := false }),"Std.HashSet", "Std.HashSet.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.emptyWithCapacity,
renderedStatement := "Std.HashSet.emptyWithCapacity.{u} {α : Type u} [BEq α] [Hashable α] (capacity : Nat := 8) :\n Std.HashSet α",
isDeprecated := false }),"Std.HashSet.Raw", "Std.HashSet.Raw.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.Raw.emptyWithCapacity,
renderedStatement := "Std.HashSet.Raw.emptyWithCapacity.{u} {α : Type u} (capacity : Nat := 8) : Std.HashSet.Raw α",
isDeprecated := false }),"Std.ExtHashSet", "Std.ExtHashSet.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtHashSet.emptyWithCapacity,
renderedStatement := "Std.ExtHashSet.emptyWithCapacity.{u} {α : Type u} [BEq α] [Hashable α] (capacity : Nat := 8) :\n Std.ExtHashSet α",
isDeprecated := false }),"Std.TreeSet", "Std.TreeSet.empty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.empty,
renderedStatement := "Std.TreeSet.empty.{u} {α : Type u} {cmp : αα → Ordering} : Std.TreeSet α cmp",
isDeprecated := false }),"Std.TreeSet.Raw", "Std.TreeSet.Raw.empty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.Raw.empty,
renderedStatement := "Std.TreeSet.Raw.empty.{u} {α : Type u} {cmp : αα → Ordering} : Std.TreeSet.Raw α cmp",
isDeprecated := false }),"Std.ExtTreeSet", "Std.ExtTreeSet.empty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeSet.empty,
renderedStatement := "Std.ExtTreeSet.empty.{u} {α : Type u} {cmp : αα → Ordering} : Std.ExtTreeSet α cmp",
isDeprecated := false }),]
metadata := {
status := .done
comment := ""
}
def «7743a485-024d-43b6-bd5f-ebd3182eb94d» : AssociationTable.Fact .subexpression where
widgetId := "associative-creation-operations"
factId := "7743a485-024d-43b6-bd5f-ebd3182eb94d"
rowId := "7743a485-024d-43b6-bd5f-ebd3182eb94d"
rowState := #["Std.DHashMap", "Std.DHashMap.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.ofList,
renderedStatement := "Std.DHashMap.ofList.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α]\n (l : List ((a : α) × β a)) : Std.DHashMap α β",
isDeprecated := false }),"Std.DHashMap.Raw", "Std.DHashMap.Raw.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.Raw.ofList,
renderedStatement := "Std.DHashMap.Raw.ofList.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α]\n (l : List ((a : α) × β a)) : Std.DHashMap.Raw α β",
isDeprecated := false }),"Std.ExtDHashMap", "Std.ExtDHashMap.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDHashMap.ofList,
renderedStatement := "Std.ExtDHashMap.ofList.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α]\n (l : List ((a : α) × β a)) : Std.ExtDHashMap α β",
isDeprecated := false }),"Std.DTreeMap", "Std.DTreeMap.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.ofList,
renderedStatement := "Std.DTreeMap.ofList.{u, v} {α : Type u} {β : α → Type v} (l : List ((a : α) × β a))\n (cmp : αα → Ordering := by exact compare) : Std.DTreeMap α β cmp",
isDeprecated := false }),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.ofList,
renderedStatement := "Std.DTreeMap.Raw.ofList.{u, v} {α : Type u} {β : α → Type v} (l : List ((a : α) × β a))\n (cmp : αα → Ordering := by exact compare) : Std.DTreeMap.Raw α β cmp",
isDeprecated := false }),"Std.ExtDTreeMap", "Std.ExtDTreeMap.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.ofList,
renderedStatement := "Std.ExtDTreeMap.ofList.{u, v} {α : Type u} {β : α → Type v} (l : List ((a : α) × β a))\n (cmp : αα → Ordering := by exact compare) : Std.ExtDTreeMap α β cmp",
isDeprecated := false }),"Std.HashMap", "Std.HashMap.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashMap.ofList,
renderedStatement := "Std.HashMap.ofList.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (l : List (α × β)) :\n Std.HashMap α β",
isDeprecated := false }),"Std.HashMap.Raw", "Std.HashMap.Raw.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashMap.Raw.ofList,
renderedStatement := "Std.HashMap.Raw.ofList.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (l : List (α × β)) :\n Std.HashMap.Raw α β",
isDeprecated := false }),"Std.ExtHashMap", "Std.ExtHashMap.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtHashMap.ofList,
renderedStatement := "Std.ExtHashMap.ofList.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (l : List (α × β)) :\n Std.ExtHashMap α β",
isDeprecated := false }),"Std.TreeMap", "Std.TreeMap.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.ofList,
renderedStatement := "Std.TreeMap.ofList.{u, v} {α : Type u} {β : Type v} (l : List (α × β))\n (cmp : αα → Ordering := by exact compare) : Std.TreeMap α β cmp",
isDeprecated := false }),"Std.TreeMap.Raw", "Std.TreeMap.Raw.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.Raw.ofList,
renderedStatement := "Std.TreeMap.Raw.ofList.{u, v} {α : Type u} {β : Type v} (l : List (α × β))\n (cmp : αα → Ordering := by exact compare) : Std.TreeMap.Raw α β cmp",
isDeprecated := false }),"Std.ExtTreeMap", "Std.ExtTreeMap.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeMap.ofList,
renderedStatement := "Std.ExtTreeMap.ofList.{u, v} {α : Type u} {β : Type v} (l : List (α × β))\n (cmp : αα → Ordering := by exact compare) : Std.ExtTreeMap α β cmp",
isDeprecated := false }),"Std.HashSet", "Std.HashSet.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.ofList,
renderedStatement := "Std.HashSet.ofList.{u} {α : Type u} [BEq α] [Hashable α] (l : List α) : Std.HashSet α",
isDeprecated := false }),"Std.HashSet.Raw", "Std.HashSet.Raw.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.Raw.ofList,
renderedStatement := "Std.HashSet.Raw.ofList.{u} {α : Type u} [BEq α] [Hashable α] (l : List α) : Std.HashSet.Raw α",
isDeprecated := false }),"Std.ExtHashSet", "Std.ExtHashSet.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtHashSet.ofList,
renderedStatement := "Std.ExtHashSet.ofList.{u} {α : Type u} [BEq α] [Hashable α] (l : List α) : Std.ExtHashSet α",
isDeprecated := false }),"Std.TreeSet", "Std.TreeSet.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.ofList,
renderedStatement := "Std.TreeSet.ofList.{u} {α : Type u} (l : List α) (cmp : αα → Ordering := by exact compare) :\n Std.TreeSet α cmp",
isDeprecated := false }),"Std.TreeSet.Raw", "Std.TreeSet.Raw.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.Raw.ofList,
renderedStatement := "Std.TreeSet.Raw.ofList.{u} {α : Type u} (l : List α) (cmp : αα → Ordering := by exact compare) :\n Std.TreeSet.Raw α cmp",
isDeprecated := false }),"Std.ExtTreeSet", "Std.ExtTreeSet.ofList", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeSet.ofList,
renderedStatement := "Std.ExtTreeSet.ofList.{u} {α : Type u} (l : List α) (cmp : αα → Ordering := by exact compare) :\n Std.ExtTreeSet α cmp",
isDeprecated := false }),]
metadata := {
status := .done
comment := ""
}
def «5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d» : AssociationTable.Fact .subexpression where
widgetId := "associative-creation-operations"
factId := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d"
rowId := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d"
rowState := #["Std.DHashMap", "app (EmptyCollection.emptyCollection) (Std.DHashMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.DHashMap*)", displayShort := "" },"Std.DHashMap.Raw", "app (EmptyCollection.emptyCollection) (Std.DHashMap.Raw*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.DHashMap.Raw*)", displayShort := "" },"Std.ExtDHashMap", "app (EmptyCollection.emptyCollection) (Std.ExtDHashMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.ExtDHashMap*)", displayShort := "" },"Std.DTreeMap", "app (EmptyCollection.emptyCollection) (Std.DTreeMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.DTreeMap*)", displayShort := "" },"Std.DTreeMap.Raw", "app (EmptyCollection.emptyCollection) (Std.DTreeMap.Raw*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.DTreeMap.Raw*)", displayShort := "" },"Std.ExtDTreeMap", "app (EmptyCollection.emptyCollection) (Std.ExtDTreeMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.ExtDTreeMap*)", displayShort := "" },"Std.HashMap", "app (EmptyCollection.emptyCollection) (Std.HashMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.HashMap*)", displayShort := "" },"Std.HashMap.Raw", "app (EmptyCollection.emptyCollection) (Std.HashMap.Raw*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.HashMap.Raw*)", displayShort := "" },"Std.ExtHashMap", "app (EmptyCollection.emptyCollection) (Std.ExtHashMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.ExtHashMap*)", displayShort := "" },"Std.TreeMap", "app (EmptyCollection.emptyCollection) (Std.TreeMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.TreeMap*)", displayShort := "" },"Std.TreeMap.Raw", "app (EmptyCollection.emptyCollection) (Std.TreeMap.Raw*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.TreeMap.Raw*)", displayShort := "" },"Std.ExtTreeMap", "app (EmptyCollection.emptyCollection) (Std.ExtTreeMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.ExtTreeMap*)", displayShort := "" },"Std.HashSet", "app (EmptyCollection.emptyCollection) (Std.HashSet*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.HashSet*)", displayShort := "" },"Std.HashSet.Raw", "app (EmptyCollection.emptyCollection) (Std.HashSet.Raw*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.HashSet.Raw*)", displayShort := "" },"Std.ExtHashSet", "app (EmptyCollection.emptyCollection) (Std.ExtHashSet*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.ExtHashSet*)", displayShort := "" },"Std.TreeSet", "app (EmptyCollection.emptyCollection) (Std.TreeSet*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.TreeSet*)", displayShort := "" },"Std.TreeSet.Raw", "app (EmptyCollection.emptyCollection) (Std.TreeSet.Raw*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.TreeSet.Raw*)", displayShort := "" },"Std.ExtTreeSet", "app (EmptyCollection.emptyCollection) (Std.ExtTreeSet*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (EmptyCollection.emptyCollection) (Std.ExtTreeSet*)", displayShort := "" },]
metadata := {
status := .done
comment := ""
}
def table : AssociationTable.Data .subexpression where
widgetId := "associative-creation-operations"
rows := #[
"2cb3c441-9663-4ce7-9527-0f40fc29925a", "empty", #["Std.DHashMap", "Std.DHashMap.emptyWithCapacity","Std.DHashMap.Raw", "Std.DHashMap.Raw.emptyWithCapacity","Std.ExtDHashMap", "Std.ExtDHashMap.emptyWithCapacity","Std.DTreeMap", "Std.DTreeMap.empty","Std.DTreeMap.Raw", "Std.DTreeMap.Raw.empty","Std.ExtDTreeMap", "Std.ExtDTreeMap.empty","Std.HashMap", "Std.HashMap.emptyWithCapacity","Std.HashMap.Raw", "Std.HashMap.Raw.emptyWithCapacity","Std.ExtHashMap", "Std.ExtHashMap.emptyWithCapacity","Std.TreeMap", "Std.TreeMap.empty","Std.TreeMap.Raw", "Std.TreeMap.Raw.empty","Std.ExtTreeMap", "Std.ExtTreeMap.empty","Std.HashSet", "Std.HashSet.emptyWithCapacity","Std.HashSet.Raw", "Std.HashSet.Raw.emptyWithCapacity","Std.ExtHashSet", "Std.ExtHashSet.emptyWithCapacity","Std.TreeSet", "Std.TreeSet.empty","Std.TreeSet.Raw", "Std.TreeSet.Raw.empty","Std.ExtTreeSet", "Std.ExtTreeSet.empty",],
"7743a485-024d-43b6-bd5f-ebd3182eb94d", "ofList", #["Std.DHashMap", "Std.DHashMap.ofList","Std.DHashMap.Raw", "Std.DHashMap.Raw.ofList","Std.ExtDHashMap", "Std.ExtDHashMap.ofList","Std.DTreeMap", "Std.DTreeMap.ofList","Std.DTreeMap.Raw", "Std.DTreeMap.Raw.ofList","Std.ExtDTreeMap", "Std.ExtDTreeMap.ofList","Std.HashMap", "Std.HashMap.ofList","Std.HashMap.Raw", "Std.HashMap.Raw.ofList","Std.ExtHashMap", "Std.ExtHashMap.ofList","Std.TreeMap", "Std.TreeMap.ofList","Std.TreeMap.Raw", "Std.TreeMap.Raw.ofList","Std.ExtTreeMap", "Std.ExtTreeMap.ofList","Std.HashSet", "Std.HashSet.ofList","Std.HashSet.Raw", "Std.HashSet.Raw.ofList","Std.ExtHashSet", "Std.ExtHashSet.ofList","Std.TreeSet", "Std.TreeSet.ofList","Std.TreeSet.Raw", "Std.TreeSet.Raw.ofList","Std.ExtTreeSet", "Std.ExtTreeSet.ofList",],
"5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d", "emptyCollection", #["Std.DHashMap", "app (EmptyCollection.emptyCollection) (Std.DHashMap*)","Std.DHashMap.Raw", "app (EmptyCollection.emptyCollection) (Std.DHashMap.Raw*)","Std.ExtDHashMap", "app (EmptyCollection.emptyCollection) (Std.ExtDHashMap*)","Std.DTreeMap", "app (EmptyCollection.emptyCollection) (Std.DTreeMap*)","Std.DTreeMap.Raw", "app (EmptyCollection.emptyCollection) (Std.DTreeMap.Raw*)","Std.ExtDTreeMap", "app (EmptyCollection.emptyCollection) (Std.ExtDTreeMap*)","Std.HashMap", "app (EmptyCollection.emptyCollection) (Std.HashMap*)","Std.HashMap.Raw", "app (EmptyCollection.emptyCollection) (Std.HashMap.Raw*)","Std.ExtHashMap", "app (EmptyCollection.emptyCollection) (Std.ExtHashMap*)","Std.TreeMap", "app (EmptyCollection.emptyCollection) (Std.TreeMap*)","Std.TreeMap.Raw", "app (EmptyCollection.emptyCollection) (Std.TreeMap.Raw*)","Std.ExtTreeMap", "app (EmptyCollection.emptyCollection) (Std.ExtTreeMap*)","Std.HashSet", "app (EmptyCollection.emptyCollection) (Std.HashSet*)","Std.HashSet.Raw", "app (EmptyCollection.emptyCollection) (Std.HashSet.Raw*)","Std.ExtHashSet", "app (EmptyCollection.emptyCollection) (Std.ExtHashSet*)","Std.TreeSet", "app (EmptyCollection.emptyCollection) (Std.TreeSet*)","Std.TreeSet.Raw", "app (EmptyCollection.emptyCollection) (Std.TreeSet.Raw*)","Std.ExtTreeSet", "app (EmptyCollection.emptyCollection) (Std.ExtTreeSet*)",],
]
facts := #[
«2cb3c441-9663-4ce7-9527-0f40fc29925a»,
«7743a485-024d-43b6-bd5f-ebd3182eb94d»,
«5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d»,
]
def restoreState : RestoreStateM Unit := do
addAssociationTable table

View File

@@ -0,0 +1,21 @@
import Grove.Framework
/-
This file is autogenerated by grove. You can manually edit it, for example to resolve merge
conflicts, but be careful.
-/
open Grove.Framework Widget
namespace GroveStdlib.Generated.«associative-modification-operations»
def table : AssociationTable.Data .subexpression where
widgetId := "associative-modification-operations"
rows := #[
]
facts := #[
]
def restoreState : RestoreStateM Unit := do
addAssociationTable table

View File

@@ -16,7 +16,7 @@ def «01f88623-fa5f-4380-9772-b30f2fec5c94» : AssociationTable.Fact .subexpress
rowState := #["Std.DHashMap", "Std.DHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.isEmpty,
renderedStatement := "Std.DHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.DHashMap α β) : Bool",
renderedStatement := "Std.DHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n (m : Std.DHashMap α β) : Bool",
isDeprecated := false }),"Std.DHashMap.Raw", "Std.DHashMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.Raw.isEmpty,
@@ -24,23 +24,23 @@ def «01f88623-fa5f-4380-9772-b30f2fec5c94» : AssociationTable.Fact .subexpress
isDeprecated := false }),"Std.ExtDHashMap", "Std.ExtDHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDHashMap.isEmpty,
renderedStatement := "Std.ExtDHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α]\n [LawfulHashable α] (m : Std.ExtDHashMap α β) : Bool",
renderedStatement := "Std.ExtDHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n [EquivBEq α] [LawfulHashable α] (m : Std.ExtDHashMap α β) : Bool",
isDeprecated := false }),"Std.DTreeMap", "Std.DTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.isEmpty,
renderedStatement := "Std.DTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap α β cmp) : Bool",
renderedStatement := "Std.DTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.DTreeMap α β cmp) : Bool",
isDeprecated := false }),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.isEmpty,
renderedStatement := "Std.DTreeMap.Raw.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap.Raw α β cmp) :\n Bool",
renderedStatement := "Std.DTreeMap.Raw.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.DTreeMap.Raw α β cmp) : Bool",
isDeprecated := false }),"Std.ExtDTreeMap", "Std.ExtDTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.isEmpty,
renderedStatement := "Std.ExtDTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.ExtDTreeMap α β cmp) :\n Bool",
renderedStatement := "Std.ExtDTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.ExtDTreeMap α β cmp) : Bool",
isDeprecated := false }),"Std.HashMap", "Std.HashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashMap.isEmpty,
renderedStatement := "Std.HashMap.isEmpty.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashMap α β) : Bool",
renderedStatement := "Std.HashMap.isEmpty.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n (m : Std.HashMap α β) : Bool",
isDeprecated := false }),"Std.HashMap.Raw", "Std.HashMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashMap.Raw.isEmpty,
@@ -48,19 +48,19 @@ def «01f88623-fa5f-4380-9772-b30f2fec5c94» : AssociationTable.Fact .subexpress
isDeprecated := false }),"Std.ExtHashMap", "Std.ExtHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtHashMap.isEmpty,
renderedStatement := "Std.ExtHashMap.isEmpty.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashMap α β) : Bool",
renderedStatement := "Std.ExtHashMap.isEmpty.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α]\n [LawfulHashable α] (m : Std.ExtHashMap α β) : Bool",
isDeprecated := false }),"Std.TreeMap", "Std.TreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.isEmpty,
renderedStatement := "Std.TreeMap.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp) : Bool",
renderedStatement := "Std.TreeMap.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering}\n (t : Std.TreeMap α β cmp) : Bool",
isDeprecated := false }),"Std.TreeMap.Raw", "Std.TreeMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.Raw.isEmpty,
renderedStatement := "Std.TreeMap.Raw.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap.Raw α β cmp) : Bool",
renderedStatement := "Std.TreeMap.Raw.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering}\n (t : Std.TreeMap.Raw α β cmp) : Bool",
isDeprecated := false }),"Std.ExtTreeMap", "Std.ExtTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeMap.isEmpty,
renderedStatement := "Std.ExtTreeMap.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.ExtTreeMap α β cmp) : Bool",
renderedStatement := "Std.ExtTreeMap.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering}\n (t : Std.ExtTreeMap α β cmp) : Bool",
isDeprecated := false }),"Std.HashSet", "Std.HashSet.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.isEmpty,
@@ -72,7 +72,7 @@ def «01f88623-fa5f-4380-9772-b30f2fec5c94» : AssociationTable.Fact .subexpress
isDeprecated := false }),"Std.ExtHashSet", "Std.ExtHashSet.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtHashSet.isEmpty,
renderedStatement := "Std.ExtHashSet.isEmpty.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) : Bool",
renderedStatement := "Std.ExtHashSet.isEmpty.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α]\n [LawfulHashable α] (m : Std.ExtHashSet α) : Bool",
isDeprecated := false }),"Std.TreeSet", "Std.TreeSet.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.isEmpty,
@@ -97,7 +97,7 @@ def «f084f852-af71-45b6-8ab3-d251a8144f72» : AssociationTable.Fact .subexpress
rowState := #["Std.DHashMap", "Std.DHashMap.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.size,
renderedStatement := "Std.DHashMap.size.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.DHashMap α β) : Nat",
renderedStatement := "Std.DHashMap.size.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n (m : Std.DHashMap α β) : Nat",
isDeprecated := false }),"Std.DHashMap.Raw", "Std.DHashMap.Raw.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.Raw.size,
@@ -105,23 +105,23 @@ def «f084f852-af71-45b6-8ab3-d251a8144f72» : AssociationTable.Fact .subexpress
isDeprecated := false }),"Std.ExtDHashMap", "Std.ExtDHashMap.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDHashMap.size,
renderedStatement := "Std.ExtDHashMap.size.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α]\n [LawfulHashable α] (m : Std.ExtDHashMap α β) : Nat",
renderedStatement := "Std.ExtDHashMap.size.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n [EquivBEq α] [LawfulHashable α] (m : Std.ExtDHashMap α β) : Nat",
isDeprecated := false }),"Std.DTreeMap", "Std.DTreeMap.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.size,
renderedStatement := "Std.DTreeMap.size.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap α β cmp) : Nat",
renderedStatement := "Std.DTreeMap.size.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.DTreeMap α β cmp) : Nat",
isDeprecated := false }),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.size,
renderedStatement := "Std.DTreeMap.Raw.size.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap.Raw α β cmp) : Nat",
renderedStatement := "Std.DTreeMap.Raw.size.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.DTreeMap.Raw α β cmp) : Nat",
isDeprecated := false }),"Std.ExtDTreeMap", "Std.ExtDTreeMap.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.size,
renderedStatement := "Std.ExtDTreeMap.size.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.ExtDTreeMap α β cmp) : Nat",
renderedStatement := "Std.ExtDTreeMap.size.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.ExtDTreeMap α β cmp) : Nat",
isDeprecated := false }),"Std.HashMap", "Std.HashMap.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashMap.size,
renderedStatement := "Std.HashMap.size.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashMap α β) : Nat",
renderedStatement := "Std.HashMap.size.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n (m : Std.HashMap α β) : Nat",
isDeprecated := false }),"Std.HashMap.Raw", "Std.HashMap.Raw.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashMap.Raw.size,
@@ -129,19 +129,19 @@ def «f084f852-af71-45b6-8ab3-d251a8144f72» : AssociationTable.Fact .subexpress
isDeprecated := false }),"Std.ExtHashMap", "Std.ExtHashMap.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtHashMap.size,
renderedStatement := "Std.ExtHashMap.size.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashMap α β) : Nat",
renderedStatement := "Std.ExtHashMap.size.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α]\n [LawfulHashable α] (m : Std.ExtHashMap α β) : Nat",
isDeprecated := false }),"Std.TreeMap", "Std.TreeMap.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.size,
renderedStatement := "Std.TreeMap.size.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp) : Nat",
renderedStatement := "Std.TreeMap.size.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering}\n (t : Std.TreeMap α β cmp) : Nat",
isDeprecated := false }),"Std.TreeMap.Raw", "Std.TreeMap.Raw.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.Raw.size,
renderedStatement := "Std.TreeMap.Raw.size.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap.Raw α β cmp) : Nat",
renderedStatement := "Std.TreeMap.Raw.size.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering}\n (t : Std.TreeMap.Raw α β cmp) : Nat",
isDeprecated := false }),"Std.ExtTreeMap", "Std.ExtTreeMap.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeMap.size,
renderedStatement := "Std.ExtTreeMap.size.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.ExtTreeMap α β cmp) : Nat",
renderedStatement := "Std.ExtTreeMap.size.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering}\n (t : Std.ExtTreeMap α β cmp) : Nat",
isDeprecated := false }),"Std.HashSet", "Std.HashSet.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.size,
@@ -178,11 +178,11 @@ def «f4e6fa70-5aed-439d-aaad-5f4ced65bf7b» : AssociationTable.Fact .subexpress
rowState := #["Std.DTreeMap", "Std.DTreeMap.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.any,
renderedStatement := "Std.DTreeMap.any.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap α β cmp)\n (p : (a : α) → β a → Bool) : Bool",
renderedStatement := "Std.DTreeMap.any.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.DTreeMap α β cmp) (p : (a : α) → β a → Bool) : Bool",
isDeprecated := false }),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.any,
renderedStatement := "Std.DTreeMap.Raw.any.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap.Raw α β cmp)\n (p : (a : α) → β a → Bool) : Bool",
renderedStatement := "Std.DTreeMap.Raw.any.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.DTreeMap.Raw α β cmp) (p : (a : α) → β a → Bool) : Bool",
isDeprecated := false }),"Std.ExtDTreeMap", "Std.ExtDTreeMap.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.any,
@@ -190,11 +190,11 @@ def «f4e6fa70-5aed-439d-aaad-5f4ced65bf7b» : AssociationTable.Fact .subexpress
isDeprecated := false }),"Std.TreeMap", "Std.TreeMap.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.any,
renderedStatement := "Std.TreeMap.any.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp) (p : α → β → Bool) :\n Bool",
renderedStatement := "Std.TreeMap.any.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp)\n (p : α → β → Bool) : Bool",
isDeprecated := false }),"Std.TreeMap.Raw", "Std.TreeMap.Raw.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.Raw.any,
renderedStatement := "Std.TreeMap.Raw.any.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap.Raw α β cmp)\n (p : α → β → Bool) : Bool",
renderedStatement := "Std.TreeMap.Raw.any.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering}\n (t : Std.TreeMap.Raw α β cmp) (p : α → β → Bool) : Bool",
isDeprecated := false }),"Std.ExtTreeMap", "Std.ExtTreeMap.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeMap.any,
@@ -202,7 +202,7 @@ def «f4e6fa70-5aed-439d-aaad-5f4ced65bf7b» : AssociationTable.Fact .subexpress
isDeprecated := false }),"Std.HashSet", "Std.HashSet.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.any,
renderedStatement := "Std.HashSet.any.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashSet α) (p : α → Bool) : Bool",
renderedStatement := "Std.HashSet.any.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashSet α)\n (p : α → Bool) : Bool",
isDeprecated := false }),"Std.HashSet.Raw", "Std.HashSet.Raw.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.Raw.any,
@@ -210,15 +210,15 @@ def «f4e6fa70-5aed-439d-aaad-5f4ced65bf7b» : AssociationTable.Fact .subexpress
isDeprecated := false }),"Std.TreeSet", "Std.TreeSet.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.any,
renderedStatement := "Std.TreeSet.any.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) (p : α → Bool) : Bool",
renderedStatement := "Std.TreeSet.any.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) (p : α → Bool) :\n Bool",
isDeprecated := false }),"Std.TreeSet.Raw", "Std.TreeSet.Raw.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.Raw.any,
renderedStatement := "Std.TreeSet.Raw.any.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp) (p : α → Bool) : Bool",
renderedStatement := "Std.TreeSet.Raw.any.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp)\n (p : α → Bool) : Bool",
isDeprecated := false }),"Std.ExtTreeSet", "Std.ExtTreeSet.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeSet.any,
renderedStatement := "Std.ExtTreeSet.any.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp] (t : Std.ExtTreeSet α cmp)\n (p : α → Bool) : Bool",
renderedStatement := "Std.ExtTreeSet.any.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeSet α cmp) (p : α → Bool) : Bool",
isDeprecated := false }),]
metadata := {
status := .bad
@@ -228,62 +228,51 @@ def «c1d181f6-3204-4956-946f-e81619f9feb4» : AssociationTable.Fact .subexpress
widgetId := "associative-query-operations"
factId := "c1d181f6-3204-4956-946f-e81619f9feb4"
rowId := "c1d181f6-3204-4956-946f-e81619f9feb4"
rowState := #["Std.DTreeMap", "Std.DTreeMap.all", .declaration (Declaration.def {
name := `Std.DTreeMap.all
renderedStatement := "Std.DTreeMap.all.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap α β cmp)\n (p : (a : α) → β a → Bool) : Bool"
isDeprecated := false
}
),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.all", .declaration (Declaration.def {
name := `Std.DTreeMap.Raw.all
renderedStatement := "Std.DTreeMap.Raw.all.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap.Raw α β cmp)\n (p : (a : α) → β a → Bool) : Bool"
isDeprecated := false
}
),"Std.ExtDTreeMap", "Std.ExtDTreeMap.all", .declaration (Declaration.def {
name := `Std.ExtDTreeMap.all
renderedStatement := "Std.ExtDTreeMap.all.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtDTreeMap α β cmp) (p : (a : α) → β a → Bool) : Bool"
isDeprecated := false
}
),"Std.TreeMap", "Std.TreeMap.all", .declaration (Declaration.def {
name := `Std.TreeMap.all
renderedStatement := "Std.TreeMap.all.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp) (p : α → β → Bool) :\n Bool"
isDeprecated := false
}
),"Std.TreeMap.Raw", "Std.TreeMap.Raw.all", .declaration (Declaration.def {
name := `Std.TreeMap.Raw.all
renderedStatement := "Std.TreeMap.Raw.all.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap.Raw α β cmp)\n (p : α → β → Bool) : Bool"
isDeprecated := false
}
),"Std.ExtTreeMap", "Std.ExtTreeMap.all", .declaration (Declaration.def {
name := `Std.ExtTreeMap.all
renderedStatement := "Std.ExtTreeMap.all.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeMap α β cmp) (p : α β → Bool) : Bool"
isDeprecated := false
}
),"Std.HashSet", "Std.HashSet.all", .declaration (Declaration.def {
name := `Std.HashSet.all
renderedStatement := "Std.HashSet.all.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashSet α) (p : α → Bool) : Bool"
isDeprecated := false
}
),"Std.HashSet.Raw", "Std.HashSet.Raw.all", .declaration (Declaration.def {
name := `Std.HashSet.Raw.all
renderedStatement := "Std.HashSet.Raw.all.{u} {α : Type u} (m : Std.HashSet.Raw α) (p : α → Bool) : Bool"
isDeprecated := false
}
),"Std.TreeSet", "Std.TreeSet.all", .declaration (Declaration.def {
name := `Std.TreeSet.all
renderedStatement := "Std.TreeSet.all.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) (p : α → Bool) : Bool"
isDeprecated := false
}
),"Std.TreeSet.Raw", "Std.TreeSet.Raw.all", .declaration (Declaration.def {
name := `Std.TreeSet.Raw.all
renderedStatement := "Std.TreeSet.Raw.all.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp) (p : α → Bool) : Bool"
isDeprecated := false
}
),"Std.ExtTreeSet", "Std.ExtTreeSet.all", .declaration (Declaration.def {
name := `Std.ExtTreeSet.all
renderedStatement := "Std.ExtTreeSet.all.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp] (t : Std.ExtTreeSet α cmp)\n (p : α → Bool) : Bool"
isDeprecated := false
}
),]
rowState := #["Std.DTreeMap", "Std.DTreeMap.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.all,
renderedStatement := "Std.DTreeMap.all.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.DTreeMap α β cmp) (p : (a : α) → β a → Bool) : Bool",
isDeprecated := false }),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.all,
renderedStatement := "Std.DTreeMap.Raw.all.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.DTreeMap.Raw α β cmp) (p : (a : α) → β a → Bool) : Bool",
isDeprecated := false }),"Std.ExtDTreeMap", "Std.ExtDTreeMap.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.all,
renderedStatement := "Std.ExtDTreeMap.all.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtDTreeMap α β cmp) (p : (a : α) → β a → Bool) : Bool",
isDeprecated := false }),"Std.TreeMap", "Std.TreeMap.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.all,
renderedStatement := "Std.TreeMap.all.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp)\n (p : α → β → Bool) : Bool",
isDeprecated := false }),"Std.TreeMap.Raw", "Std.TreeMap.Raw.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.Raw.all,
renderedStatement := "Std.TreeMap.Raw.all.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering}\n (t : Std.TreeMap.Raw α β cmp) (p : α → β → Bool) : Bool",
isDeprecated := false }),"Std.ExtTreeMap", "Std.ExtTreeMap.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeMap.all,
renderedStatement := "Std.ExtTreeMap.all.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeMap α β cmp) (p : α → β → Bool) : Bool",
isDeprecated := false }),"Std.HashSet", "Std.HashSet.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.all,
renderedStatement := "Std.HashSet.all.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashSet α)\n (p : α → Bool) : Bool",
isDeprecated := false }),"Std.HashSet.Raw", "Std.HashSet.Raw.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.Raw.all,
renderedStatement := "Std.HashSet.Raw.all.{u} {α : Type u} (m : Std.HashSet.Raw α) (p : α → Bool) : Bool",
isDeprecated := false }),"Std.TreeSet", "Std.TreeSet.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.all,
renderedStatement := "Std.TreeSet.all.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) (p : α → Bool) :\n Bool",
isDeprecated := false }),"Std.TreeSet.Raw", "Std.TreeSet.Raw.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.Raw.all,
renderedStatement := "Std.TreeSet.Raw.all.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp)\n (p : α → Bool) : Bool",
isDeprecated := false }),"Std.ExtTreeSet", "Std.ExtTreeSet.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeSet.all,
renderedStatement := "Std.ExtTreeSet.all.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeSet α cmp) (p : α → Bool) : Bool",
isDeprecated := false }),]
metadata := {
status := .bad
comment := "Missing for some containers"
@@ -292,97 +281,79 @@ def «efe57f41-7db7-4303-b3a6-5216a70c43ce» : AssociationTable.Fact .subexpress
widgetId := "associative-query-operations"
factId := "efe57f41-7db7-4303-b3a6-5216a70c43ce"
rowId := "efe57f41-7db7-4303-b3a6-5216a70c43ce"
rowState := #["Std.DHashMap", "Std.DHashMap.getD", .declaration (Declaration.def {
name := `Std.DHashMap.getD
renderedStatement := "Std.DHashMap.getD.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.DHashMap α β) (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.DHashMap.Raw", "Std.DHashMap.Raw.getD", .declaration (Declaration.def {
name := `Std.DHashMap.Raw.getD
renderedStatement := "Std.DHashMap.Raw.getD.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α] [LawfulBEq α] (m : Std.DHashMap.Raw α β)\n (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.ExtDHashMap", "Std.ExtDHashMap.getD", .declaration (Declaration.def {
name := `Std.ExtDHashMap.getD
renderedStatement := "Std.ExtDHashMap.getD.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.ExtDHashMap α β) (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.DTreeMap", "Std.DTreeMap.getD", .declaration (Declaration.def {
name := `Std.DTreeMap.getD
renderedStatement := "Std.DTreeMap.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap α β cmp) (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.getD", .declaration (Declaration.def {
name := `Std.DTreeMap.Raw.getD
renderedStatement := "Std.DTreeMap.Raw.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap.Raw α β cmp) (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.ExtDTreeMap", "Std.ExtDTreeMap.getD", .declaration (Declaration.def {
name := `Std.ExtDTreeMap.getD
renderedStatement := "Std.ExtDTreeMap.getD.{u, v} {α : Type u} {β : α Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n [Std.LawfulEqCmp cmp] (t : Std.ExtDTreeMap α β cmp) (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.HashMap", "Std.HashMap.getD", .declaration (Declaration.def {
name := `Std.HashMap.getD
renderedStatement := "Std.HashMap.getD.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashMap α β) (a : α)\n (fallback : β) : β"
isDeprecated := false
}
),"Std.HashMap.Raw", "Std.HashMap.Raw.getD", .declaration (Declaration.def {
name := `Std.HashMap.Raw.getD
renderedStatement := "Std.HashMap.Raw.getD.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (m : Std.HashMap.Raw α β) (a : α)\n (fallback : β) : β"
isDeprecated := false
}
),"Std.ExtHashMap", "Std.ExtHashMap.getD", .declaration (Declaration.def {
name := `Std.ExtHashMap.getD
renderedStatement := "Std.ExtHashMap.getD.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashMap α β) (a : α) (fallback : β) : β"
isDeprecated := false
}
),"Std.TreeMap", "Std.TreeMap.getD", .declaration (Declaration.def {
name := `Std.TreeMap.getD
renderedStatement := "Std.TreeMap.getD.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp) (a : α)\n (fallback : β) : β"
isDeprecated := false
}
),"Std.TreeMap.Raw", "Std.TreeMap.Raw.getD", .declaration (Declaration.def {
name := `Std.TreeMap.Raw.getD
renderedStatement := "Std.TreeMap.Raw.getD.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap.Raw α β cmp) (a : α)\n (fallback : β) : β"
isDeprecated := false
}
),"Std.ExtTreeMap", "Std.ExtTreeMap.getD", .declaration (Declaration.def {
name := `Std.ExtTreeMap.getD
renderedStatement := "Std.ExtTreeMap.getD.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeMap α β cmp) (a : α) (fallback : β) : β"
isDeprecated := false
}
),"Std.HashSet", "Std.HashSet.getD", .declaration (Declaration.def {
name := `Std.HashSet.getD
renderedStatement := "Std.HashSet.getD.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet α) (a fallback : α) : α"
isDeprecated := false
}
),"Std.HashSet.Raw", "Std.HashSet.Raw.getD", .declaration (Declaration.def {
name := `Std.HashSet.Raw.getD
renderedStatement := "Std.HashSet.Raw.getD.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet.Raw α) (a fallback : α) : α"
isDeprecated := false
}
),"Std.ExtHashSet", "Std.ExtHashSet.getD", .declaration (Declaration.def {
name := `Std.ExtHashSet.getD
renderedStatement := "Std.ExtHashSet.getD.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) (a fallback : α) : α"
isDeprecated := false
}
),"Std.TreeSet", "Std.TreeSet.getD", .declaration (Declaration.def {
name := `Std.TreeSet.getD
renderedStatement := "Std.TreeSet.getD.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) (a fallback : α) : α"
isDeprecated := false
}
),"Std.TreeSet.Raw", "Std.TreeSet.Raw.getD", .declaration (Declaration.def {
name := `Std.TreeSet.Raw.getD
renderedStatement := "Std.TreeSet.Raw.getD.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp) (a fallback : α) : α"
isDeprecated := false
}
),"Std.ExtTreeSet", "Std.ExtTreeSet.getD", .declaration (Declaration.def {
name := `Std.ExtTreeSet.getD
renderedStatement := "Std.ExtTreeSet.getD.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp] (t : Std.ExtTreeSet α cmp)\n (a fallback : α) : α"
isDeprecated := false
}
),]
rowState := #["Std.DHashMap", "Std.DHashMap.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.getD,
renderedStatement := "Std.DHashMap.getD.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.DHashMap α β) (a : α) (fallback : β a) : β a",
isDeprecated := false }),"Std.DHashMap.Raw", "Std.DHashMap.Raw.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.Raw.getD,
renderedStatement := "Std.DHashMap.Raw.getD.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α] [LawfulBEq α]\n (m : Std.DHashMap.Raw α β) (a : α) (fallback : β a) : β a",
isDeprecated := false }),"Std.ExtDHashMap", "Std.ExtDHashMap.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDHashMap.getD,
renderedStatement := "Std.ExtDHashMap.getD.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n [LawfulBEq α] (m : Std.ExtDHashMap α β) (a : α) (fallback : β a) : β a",
isDeprecated := false }),"Std.DTreeMap", "Std.DTreeMap.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.getD,
renderedStatement := "Std.DTreeMap.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n [Std.LawfulEqCmp cmp] (t : Std.DTreeMap α β cmp) (a : α) (fallback : β a) : β a",
isDeprecated := false }),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.getD,
renderedStatement := "Std.DTreeMap.Raw.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n [Std.LawfulEqCmp cmp] (t : Std.DTreeMap.Raw α β cmp) (a : α) (fallback : β a) : β a",
isDeprecated := false }),"Std.ExtDTreeMap", "Std.ExtDTreeMap.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.getD,
renderedStatement := "Std.ExtDTreeMap.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n [Std.TransCmp cmp] [Std.LawfulEqCmp cmp] (t : Std.ExtDTreeMap α β cmp) (a : α) (fallback : β a) :\n β a",
isDeprecated := false }),"Std.HashMap", "Std.HashMap.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashMap.getD,
renderedStatement := "Std.HashMap.getD.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n (m : Std.HashMap α β) (a : α) (fallback : β) : β",
isDeprecated := false }),"Std.HashMap.Raw", "Std.HashMap.Raw.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashMap.Raw.getD,
renderedStatement := "Std.HashMap.Raw.getD.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (m : Std.HashMap.Raw α β)\n (a : α) (fallback : β) : β",
isDeprecated := false }),"Std.ExtHashMap", "Std.ExtHashMap.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtHashMap.getD,
renderedStatement := "Std.ExtHashMap.getD.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α]\n [LawfulHashable α] (m : Std.ExtHashMap α β) (a : α) (fallback : β) : β",
isDeprecated := false }),"Std.TreeMap", "Std.TreeMap.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.getD,
renderedStatement := "Std.TreeMap.getD.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp)\n (a : α) (fallback : β) : β",
isDeprecated := false }),"Std.TreeMap.Raw", "Std.TreeMap.Raw.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.Raw.getD,
renderedStatement := "Std.TreeMap.Raw.getD.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering}\n (t : Std.TreeMap.Raw α β cmp) (a : α) (fallback : β) : β",
isDeprecated := false }),"Std.ExtTreeMap", "Std.ExtTreeMap.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeMap.getD,
renderedStatement := "Std.ExtTreeMap.getD.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeMap α β cmp) (a : α) (fallback : β) : β",
isDeprecated := false }),"Std.HashSet", "Std.HashSet.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.getD,
renderedStatement := "Std.HashSet.getD.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet α) (a fallback : α) : α",
isDeprecated := false }),"Std.HashSet.Raw", "Std.HashSet.Raw.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.Raw.getD,
renderedStatement := "Std.HashSet.Raw.getD.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet.Raw α)\n (a fallback : α) : α",
isDeprecated := false }),"Std.ExtHashSet", "Std.ExtHashSet.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtHashSet.getD,
renderedStatement := "Std.ExtHashSet.getD.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) (a fallback : α) : α",
isDeprecated := false }),"Std.TreeSet", "Std.TreeSet.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.getD,
renderedStatement := "Std.TreeSet.getD.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp)\n (a fallback : α) : α",
isDeprecated := false }),"Std.TreeSet.Raw", "Std.TreeSet.Raw.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.Raw.getD,
renderedStatement := "Std.TreeSet.Raw.getD.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp)\n (a fallback : α) : α",
isDeprecated := false }),"Std.ExtTreeSet", "Std.ExtTreeSet.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeSet.getD,
renderedStatement := "Std.ExtTreeSet.getD.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeSet α cmp) (a fallback : α) : α",
isDeprecated := false }),]
metadata := {
status := .done
comment := ""
@@ -391,73 +362,61 @@ def «e23b1119-3b57-433e-a68d-68fd70b9943d» : AssociationTable.Fact .subexpress
widgetId := "associative-query-operations"
factId := "e23b1119-3b57-433e-a68d-68fd70b9943d"
rowId := "e23b1119-3b57-433e-a68d-68fd70b9943d"
rowState := #["Std.DHashMap", "Std.DHashMap.get", .declaration (Declaration.def {
name := `Std.DHashMap.get
renderedStatement := "Std.DHashMap.get.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.DHashMap α β) (a : α) (h : a ∈ m) : β a"
isDeprecated := false
}
),"Std.DHashMap.Raw", "Std.DHashMap.Raw.Const.get", .declaration (Declaration.def {
name := `Std.DHashMap.Raw.Const.get
renderedStatement := "Std.DHashMap.Raw.Const.get.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (m : Std.DHashMap.Raw α fun x => β)\n (a : α) (h : a ∈ m) : β"
isDeprecated := false
}
),"Std.ExtDHashMap", "Std.ExtDHashMap.get", .declaration (Declaration.def {
name := `Std.ExtDHashMap.get
renderedStatement := "Std.ExtDHashMap.get.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.ExtDHashMap α β) (a : α) (h : a ∈ m) : β a"
isDeprecated := false
}
),"Std.DTreeMap", "Std.DTreeMap.get", .declaration (Declaration.def {
name := `Std.DTreeMap.get
renderedStatement := "Std.DTreeMap.get.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap α β cmp) (a : α) (h : a ∈ t) : β a"
isDeprecated := false
}
),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.get", .declaration (Declaration.def {
name := `Std.DTreeMap.Raw.get
renderedStatement := "Std.DTreeMap.Raw.get.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap.Raw α β cmp) (a : α) (h : a ∈ t) : β a"
isDeprecated := false
}
),"Std.ExtDTreeMap", "Std.ExtDTreeMap.get", .declaration (Declaration.def {
name := `Std.ExtDTreeMap.get
renderedStatement := "Std.ExtDTreeMap.get.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n [Std.LawfulEqCmp cmp] (t : Std.ExtDTreeMap α β cmp) (a : α) (h : a ∈ t) : β a"
isDeprecated := false
}
),"Std.HashMap", "app (GetElem.getElem) (Std.HashMap*)", Grove.Framework.Subexpression.State.predicate
rowState := #["Std.DHashMap", "Std.DHashMap.get", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.get,
renderedStatement := "Std.DHashMap.get.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.DHashMap α β) (a : α) (h : a ∈ m) : β a",
isDeprecated := false }),"Std.DHashMap.Raw", "Std.DHashMap.Raw.Const.get", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.Raw.Const.get,
renderedStatement := "Std.DHashMap.Raw.Const.get.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α]\n (m : Std.DHashMap.Raw α fun x => β) (a : α) (h : a ∈ m) : β",
isDeprecated := false }),"Std.ExtDHashMap", "Std.ExtDHashMap.get", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDHashMap.get,
renderedStatement := "Std.ExtDHashMap.get.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n [LawfulBEq α] (m : Std.ExtDHashMap α β) (a : α) (h : a ∈ m) : β a",
isDeprecated := false }),"Std.DTreeMap", "Std.DTreeMap.get", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.get,
renderedStatement := "Std.DTreeMap.get.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap α β cmp) (a : α) (h : a ∈ t) : β a",
isDeprecated := false }),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.get", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.get,
renderedStatement := "Std.DTreeMap.Raw.get.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n [Std.LawfulEqCmp cmp] (t : Std.DTreeMap.Raw α β cmp) (a : α) (h : a ∈ t) : β a",
isDeprecated := false }),"Std.ExtDTreeMap", "Std.ExtDTreeMap.get", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.get,
renderedStatement := "Std.ExtDTreeMap.get.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n [Std.LawfulEqCmp cmp] (t : Std.ExtDTreeMap α β cmp) (a : α) (h : a ∈ t) : β a",
isDeprecated := false }),"Std.HashMap", "app (GetElem.getElem) (Std.HashMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (GetElem.getElem) (Std.HashMap*)", displayShort := "Std.HashMap[·]" },"Std.HashMap.Raw", "app (GetElem.getElem) (Std.HashMap.Raw*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (GetElem.getElem) (Std.HashMap.Raw*)", displayShort := "Std.HashMap.Raw[·]" },"Std.ExtHashMap", "app (GetElem.getElem) (Std.ExtHashMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (GetElem.getElem) (Std.ExtHashMap*)", displayShort := "Std.ExtHashMap[·]" },"Std.TreeMap", "app (GetElem.getElem) (Std.TreeMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (GetElem.getElem) (Std.TreeMap*)", displayShort := "Std.TreeMap[·]" },"Std.TreeMap.Raw", "app (GetElem.getElem) (Std.TreeMap.Raw*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (GetElem.getElem) (Std.TreeMap.Raw*)", displayShort := "Std.TreeMap.Raw[·]" },"Std.ExtTreeMap", "app (GetElem.getElem) (Std.ExtTreeMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (GetElem.getElem) (Std.ExtTreeMap*)", displayShort := "Std.ExtTreeMap[·]" },"Std.HashSet", "Std.HashSet.get", .declaration (Declaration.def {
name := `Std.HashSet.get
renderedStatement := "Std.HashSet.get.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet α) (a : α) (h : a ∈ m) : α"
isDeprecated := false
}
),"Std.HashSet.Raw", "Std.HashSet.Raw.get", .declaration (Declaration.def {
name := `Std.HashSet.Raw.get
renderedStatement := "Std.HashSet.Raw.get.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet.Raw α) (a : α) (h : a ∈ m) : α"
isDeprecated := false
}
),"Std.ExtHashSet", "Std.ExtHashSet.get", .declaration (Declaration.def {
name := `Std.ExtHashSet.get
renderedStatement := "Std.ExtHashSet.get.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) (a : α) (h : a ∈ m) : α"
isDeprecated := false
}
),"Std.TreeSet", "Std.TreeSet.get", .declaration (Declaration.def {
name := `Std.TreeSet.get
renderedStatement := "Std.TreeSet.get.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) (a : α) (h : a ∈ t) : α"
isDeprecated := false
}
),"Std.TreeSet.Raw", "Std.TreeSet.Raw.get", .declaration (Declaration.def {
name := `Std.TreeSet.Raw.get
renderedStatement := "Std.TreeSet.Raw.get.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp) (a : α) (h : a ∈ t) : α"
isDeprecated := false
}
),"Std.ExtTreeSet", "Std.ExtTreeSet.get", .declaration (Declaration.def {
name := `Std.ExtTreeSet.get
renderedStatement := "Std.ExtTreeSet.get.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp] (t : Std.ExtTreeSet α cmp) (a : α)\n (h : a ∈ t) : α"
isDeprecated := false
}
),]
{ key := "app (GetElem.getElem) (Std.ExtTreeMap*)", displayShort := "Std.ExtTreeMap[·]" },"Std.HashSet", "Std.HashSet.get", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.get,
renderedStatement := "Std.HashSet.get.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet α) (a : α) (h : a ∈ m) : α",
isDeprecated := false }),"Std.HashSet.Raw", "Std.HashSet.Raw.get", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.Raw.get,
renderedStatement := "Std.HashSet.Raw.get.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet.Raw α) (a : α)\n (h : a ∈ m) : α",
isDeprecated := false }),"Std.ExtHashSet", "Std.ExtHashSet.get", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtHashSet.get,
renderedStatement := "Std.ExtHashSet.get.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) (a : α) (h : a ∈ m) : α",
isDeprecated := false }),"Std.TreeSet", "Std.TreeSet.get", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.get,
renderedStatement := "Std.TreeSet.get.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) (a : α)\n (h : a ∈ t) : α",
isDeprecated := false }),"Std.TreeSet.Raw", "Std.TreeSet.Raw.get", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.Raw.get,
renderedStatement := "Std.TreeSet.Raw.get.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp) (a : α)\n (h : a ∈ t) : α",
isDeprecated := false }),"Std.ExtTreeSet", "Std.ExtTreeSet.get", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeSet.get,
renderedStatement := "Std.ExtTreeSet.get.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeSet α cmp) (a : α) (h : a ∈ t) : α",
isDeprecated := false }),]
metadata := {
status := .bad
comment := "Should *Set have GetElem?"

View File

@@ -20,23 +20,75 @@ def sequentialContainers : Node :=
namespace AssociativeContainers
def associativeQueryOperations : AssociationTable .subexpression
[`Std.DHashMap, `Std.DHashMap.Raw, `Std.ExtDHashMap, `Std.DTreeMap, `Std.DTreeMap.Raw, `Std.ExtDTreeMap, `Std.HashMap,
`Std.HashMap.Raw, `Std.ExtHashMap, `Std.TreeMap, `Std.TreeMap.Raw, `Std.ExtTreeMap, `Std.HashSet, `Std.HashSet.Raw, `Std.ExtHashSet,
`Std.TreeSet, `Std.TreeSet.Raw, `Std.ExtTreeSet] where
def associativeContainers : List Lean.Name :=
[`Std.DHashMap, `Std.DHashMap.Raw, `Std.ExtDHashMap, `Std.DTreeMap, `Std.DTreeMap.Raw, `Std.ExtDTreeMap, `Std.HashMap,
`Std.HashMap.Raw, `Std.ExtHashMap, `Std.TreeMap, `Std.TreeMap.Raw, `Std.ExtTreeMap, `Std.HashSet, `Std.HashSet.Raw, `Std.ExtHashSet,
`Std.TreeSet, `Std.TreeSet.Raw, `Std.ExtTreeSet]
def associativeQueryOperations : AssociationTable .subexpression associativeContainers where
id := "associative-query-operations"
title := "Associative query operations"
description := "Operations that take as input an associative container and return a 'single' piece of information (e.g., `GetElem` or `isEmpty`, but not `toList`)."
dataSources n :=
(DataSource.declarationsInNamespace n .definitionsOnly)
(DataSource.definitionsInNamespace n)
|>.map Subexpression.declaration
|>.or (DataSource.getElem n)
def associativeCreationOperations : AssociationTable .subexpression associativeContainers where
id := "associative-creation-operations"
title := "Associative creation operations"
description := "Operations that create a new associative container"
dataSources n :=
(DataSource.definitionsInNamespace n)
|>.map Subexpression.declaration
|>.or (DataSource.emptyCollection n)
def associativeModificationOperations : AssociationTable .subexpression associativeContainers where
id := "associative-modification-operations"
title := "Associative modification operations"
description := "Operations that both accept and return an associative container"
dataSources n :=
(DataSource.definitionsInNamespace n)
|>.map Subexpression.declaration
def associativeCreateThenQuery : Table .subexpression .subexpression .declaration associativeContainers where
id := "associative-create-then-query"
title := "Associative create then query"
description := "Lemmas that say what happens when creating a new associative container and then immediately querying from it"
rowsFrom := .table associativeCreationOperations
columnsFrom := .table associativeQueryOperations
cellData := .classic _ { relevantNamespaces := associativeContainers }
def allOperationsCovered : Assertion where
widgetId := "associative-all-operations-covered"
title := "All operations on associative containers covered"
description := "All operations on an associative container should appear in at least one of the tables"
check := do
let allValuesArray : Array String #[associativeQueryOperations, associativeCreationOperations, associativeModificationOperations].flatMapM valuesInAssociationTable
let allValues : Std.HashSet String := Std.HashSet.ofArray allValuesArray
let env Lean.getEnv
let mut numBad := 0
for (n, _) in env.constants do
if associativeContainers.any (fun namesp => namesp.isPrefixOf n) then
if !n.toString allValues then
numBad := numBad + 1
return #[{
assertionId := "all-covered"
description := "All operations should be covered"
passed := numBad == 0
message := if numBad = 0 then "All operations were covered" else s!"There were {numBad} operations that were not covered."
}]
end AssociativeContainers
open AssociativeContainers in
def associativeContainers : Node :=
.section "associative-containers" "Associative containers" #[
.associationTable AssociativeContainers.associativeQueryOperations
.associationTable associativeQueryOperations,
.associationTable associativeCreationOperations,
.associationTable associativeModificationOperations,
.table associativeCreateThenQuery,
.assertion allOperationsCovered
]
namespace PersistentDataStructures

View File

@@ -3,8 +3,10 @@
lake exe grove-stdlib --full metadata.json
cd .lake/packages/grove/frontend
npm install
cp ../../../../metadata.json public/metadata.json
if [ -f "../../../../invalidated.json" ]; then
GROVE_DATA_LOCATION=../../../../metadata.json GROVE_UPSTREAM_INVALIDATED_FACTS_LOCATION=../../../../invalidated.json npm run dev
cp ../../../../invalidated.json public/invalidated.json
GROVE_DATA_LOCATION=public/metadata.json GROVE_UPSTREAM_INVALIDATED_FACTS_LOCATION=public/invalidated.json npm run dev
else
GROVE_DATA_LOCATION=../../../../metadata.json npm run dev
fi
GROVE_DATA_LOCATION=public/metadata.json npm run dev
fi

View File

@@ -5,7 +5,7 @@
"type": "git",
"subDir": "backend",
"scope": "",
"rev": "e8127fc6554b99fb988ecdceb770a5e112afbe24",
"rev": "3e8aabdea58c11813c5d3b7eeb187ded44ee9a34",
"name": "grove",
"manifestFile": "lake-manifest.json",
"inputRev": "master",

View File

@@ -18,14 +18,14 @@
# An old nixpkgs for creating releases with an old glibc
pkgsDist-old-aarch = import inputs.nixpkgs-old { localSystem.config = "aarch64-unknown-linux-gnu"; };
lean-packages = pkgs.callPackage (./nix/packages.nix) { src = ./.; };
llvmPackages = pkgs.llvmPackages_15;
devShellWithDist = pkgsDist: pkgs.mkShell.override {
stdenv = pkgs.overrideCC pkgs.stdenv lean-packages.llvmPackages.clang;
stdenv = pkgs.overrideCC pkgs.stdenv llvmPackages.clang;
} ({
buildInputs = with pkgs; [
cmake gmp libuv ccache pkg-config
lean-packages.llvmPackages.llvm # llvm-symbolizer for asan/lsan
llvmPackages.llvm # llvm-symbolizer for asan/lsan
gdb
tree # for CI
];
@@ -60,12 +60,6 @@
GDB = pkgsDist.gdb;
});
in {
packages.${system} = {
# to be removed when Nix CI is not needed anymore
inherit (lean-packages) cacheRoots test update-stage0-commit ciShell;
deprecated = lean-packages;
};
devShells.${system} = {
# The default development shell for working on lean itself
default = devShellWithDist pkgs;

View File

@@ -1,7 +0,0 @@
set -eo pipefail
for pkg in $buildInputs; do
export PATH=$PATH:$pkg/bin
done
: ${outputs:=out}

View File

@@ -1,208 +0,0 @@
{ src, debug ? false, stage0debug ? false, extraCMakeFlags ? [],
stdenv, lib, cmake, pkg-config, gmp, libuv, cadical, git, gnumake, bash, buildLeanPackage, writeShellScriptBin, runCommand, symlinkJoin, lndir, perl, gnused, darwin, llvmPackages, linkFarmFromDrvs,
... } @ args:
with builtins;
lib.warn "The Nix-based build is deprecated" rec {
inherit stdenv;
sourceByRegex = p: rs: lib.sourceByRegex p (map (r: "(/src/)?${r}") rs);
buildCMake = args: stdenv.mkDerivation ({
nativeBuildInputs = [ cmake pkg-config ];
buildInputs = [ gmp libuv llvmPackages.llvm ];
# https://github.com/NixOS/nixpkgs/issues/60919
hardeningDisable = [ "all" ];
dontStrip = (args.debug or debug);
postConfigure = ''
patchShebangs .
'';
} // args // {
src = args.realSrc or (sourceByRegex args.src [ "[a-z].*" "CMakeLists\.txt" ]);
cmakeFlags = ["-DSMALL_ALLOCATOR=ON" "-DUSE_MIMALLOC=OFF"] ++ (args.cmakeFlags or [ "-DSTAGE=1" "-DPREV_STAGE=./faux-prev-stage" "-DUSE_GITHASH=OFF" "-DCADICAL=${cadical}/bin/cadical" ]) ++ (args.extraCMakeFlags or extraCMakeFlags) ++ lib.optional (args.debug or debug) [ "-DCMAKE_BUILD_TYPE=Debug" ];
preConfigure = args.preConfigure or "" + ''
# ignore absence of submodule
sed -i 's!lake/Lake.lean!!' CMakeLists.txt
'';
});
lean-bin-tools-unwrapped = buildCMake {
name = "lean-bin-tools";
outputs = [ "out" "leanc_src" ];
realSrc = sourceByRegex (src + "/src") [ "CMakeLists\.txt" "[a-z].*" ".*\.in" "Leanc\.lean" ];
dontBuild = true;
installPhase = ''
mkdir $out $leanc_src
mv bin/ include/ share/ $out/
mv leanc.sh $out/bin/leanc
mv leanc/Leanc.lean $leanc_src/
substituteInPlace $out/bin/leanc --replace '$root' "$out" --replace " sed " " ${gnused}/bin/sed "
substituteInPlace $out/bin/leanmake --replace "make" "${gnumake}/bin/make"
substituteInPlace $out/share/lean/lean.mk --replace "/usr/bin/env bash" "${bash}/bin/bash"
'';
};
leancpp = buildCMake {
name = "leancpp";
src = src + "/src";
buildFlags = [ "leancpp" "leanrt" "leanrt_initial-exec" "leanshell" "leanmain" ];
installPhase = ''
mkdir -p $out
mv lib/ $out/
mv runtime/libleanrt_initial-exec.a $out/lib
'';
};
stage0 = args.stage0 or (buildCMake {
name = "lean-stage0";
realSrc = src + "/stage0/src";
debug = stage0debug;
cmakeFlags = [ "-DSTAGE=0" ];
extraCMakeFlags = [];
preConfigure = ''
ln -s ${src + "/stage0/stdlib"} ../stdlib
'';
installPhase = ''
mkdir -p $out/bin $out/lib/lean
mv bin/lean $out/bin/
mv lib/lean/*.{so,dylib} $out/lib/lean
'';
meta.mainProgram = "lean";
});
stage = { stage, prevStage, self }:
let
desc = "stage${toString stage}";
build = args: buildLeanPackage.override {
lean = prevStage;
leanc = lean-bin-tools-unwrapped;
# use same stage for retrieving dependencies
lean-leanDeps = stage0;
lean-final = self;
} ({
src = src + "/src";
roots = [ { mod = args.name; glob = "andSubmodules"; } ];
fullSrc = src;
srcPath = "$PWD/src:$PWD/src/lake";
inherit debug;
leanFlags = [ "-DwarningAsError=true" ];
} // args);
Init' = build { name = "Init"; deps = []; };
Std' = build { name = "Std"; deps = [ Init' ]; };
Lean' = build { name = "Lean"; deps = [ Std' ]; };
attachSharedLib = sharedLib: pkg: pkg // {
inherit sharedLib;
mods = mapAttrs (_: m: m // { inherit sharedLib; propagatedLoadDynlibs = []; }) pkg.mods;
};
in (all: all // all.lean) rec {
inherit (Lean) emacs-dev emacs-package vscode-dev vscode-package;
Init = attachSharedLib leanshared Init';
Std = attachSharedLib leanshared Std' // { allExternalDeps = [ Init ]; };
Lean = attachSharedLib leanshared Lean' // { allExternalDeps = [ Std ]; };
Lake = build {
name = "Lake";
sharedLibName = "Lake_shared";
src = src + "/src/lake";
deps = [ Init Lean ];
};
Lake-Main = build {
name = "LakeMain";
roots = [{ glob = "one"; mod = "LakeMain"; }];
executableName = "lake";
deps = [ Lake ];
linkFlags = lib.optional stdenv.isLinux "-rdynamic";
src = src + "/src/lake";
};
stdlib = [ Init Std Lean Lake ];
modDepsFiles = symlinkJoin { name = "modDepsFiles"; paths = map (l: l.modDepsFile) (stdlib ++ [ Leanc ]); };
depRoots = symlinkJoin { name = "depRoots"; paths = map (l: l.depRoots) stdlib; };
iTree = symlinkJoin { name = "ileans"; paths = map (l: l.iTree) stdlib; };
Leanc = build { name = "Leanc"; src = lean-bin-tools-unwrapped.leanc_src; deps = stdlib; roots = [ "Leanc" ]; };
stdlibLinkFlags = "${lib.concatMapStringsSep " " (l: "-L${l.staticLib}") stdlib} -L${leancpp}/lib/lean";
libInit_shared = runCommand "libInit_shared" { buildInputs = [ stdenv.cc ]; libName = "libInit_shared${stdenv.hostPlatform.extensions.sharedLibrary}"; } ''
mkdir $out
touch empty.c
${stdenv.cc}/bin/cc -shared -o $out/$libName empty.c
'';
leanshared_1 = runCommand "leanshared_1" { buildInputs = [ stdenv.cc ]; libName = "leanshared_1${stdenv.hostPlatform.extensions.sharedLibrary}"; } ''
mkdir $out
touch empty.c
${stdenv.cc}/bin/cc -shared -o $out/$libName empty.c
'';
leanshared = runCommand "leanshared" { buildInputs = [ stdenv.cc ]; libName = "libleanshared${stdenv.hostPlatform.extensions.sharedLibrary}"; } ''
mkdir $out
LEAN_CC=${stdenv.cc}/bin/cc ${lean-bin-tools-unwrapped}/bin/leanc -shared ${lib.optionalString stdenv.isLinux "-Wl,-Bsymbolic"} \
-Wl,--whole-archive ${leancpp}/lib/temp/libleanshell.a -lInit -lStd -lLean -lleancpp ${leancpp}/lib/libleanrt_initial-exec.a -Wl,--no-whole-archive -lstdc++ \
-lm ${stdlibLinkFlags} \
$(${llvmPackages.libllvm.dev}/bin/llvm-config --ldflags --libs) \
-o $out/$libName
'';
mods = foldl' (mods: pkg: mods // pkg.mods) {} stdlib;
print-paths = Lean.makePrintPathsFor [] mods;
leanc = writeShellScriptBin "leanc" ''
LEAN_CC=${stdenv.cc}/bin/cc ${Leanc.executable}/bin/leanc -I${lean-bin-tools-unwrapped}/include ${stdlibLinkFlags} -L${libInit_shared} -L${leanshared_1} -L${leanshared} -L${Lake.sharedLib} "$@"
'';
lean = runCommand "lean" { buildInputs = lib.optional stdenv.isDarwin darwin.cctools; } ''
mkdir -p $out/bin
${leanc}/bin/leanc ${leancpp}/lib/temp/libleanmain.a ${libInit_shared}/* ${leanshared_1}/* ${leanshared}/* -o $out/bin/lean
'';
# derivation following the directory layout of the "basic" setup, mostly useful for running tests
lean-all = stdenv.mkDerivation {
name = "lean-${desc}";
buildCommand = ''
mkdir -p $out/bin $out/lib/lean
ln -sf ${leancpp}/lib/lean/* ${lib.concatMapStringsSep " " (l: "${l.modRoot}/* ${l.staticLib}/*") (lib.reverseList stdlib)} ${libInit_shared}/* ${leanshared_1}/* ${leanshared}/* ${Lake.sharedLib}/* $out/lib/lean/
# put everything in a single final derivation so `IO.appDir` references work
cp ${lean}/bin/lean ${leanc}/bin/leanc ${Lake-Main.executable}/bin/lake $out/bin
# NOTE: `lndir` will not override existing `bin/leanc`
${lndir}/bin/lndir -silent ${lean-bin-tools-unwrapped} $out
'';
meta.mainProgram = "lean";
};
cacheRoots = linkFarmFromDrvs "cacheRoots" ([
stage0 lean leanc lean-all iTree modDepsFiles depRoots Leanc.src
] ++ map (lib: lib.oTree) stdlib);
test = buildCMake {
name = "lean-test-${desc}";
realSrc = lib.sourceByRegex src [ "src.*" "tests.*" ];
buildInputs = [ gmp libuv perl git cadical ];
preConfigure = ''
cd src
'';
extraCMakeFlags = [ "-DLLVM=OFF" ];
postConfigure = ''
patchShebangs ../../tests ../lake
rm -r bin lib include share
ln -sf ${lean-all}/* .
'';
buildPhase = ''
ctest --output-junit test-results.xml --output-on-failure -E 'leancomptest_(doc_example|foreign)|leanlaketest_reverse-ffi|leanruntest_timeIO' -j$NIX_BUILD_CORES
'';
installPhase = ''
mkdir $out
mv test-results.xml $out
'';
};
update-stage0 =
let cTree = symlinkJoin { name = "cs"; paths = map (lib: lib.cTree) (stdlib ++ [Lake-Main]); }; in
writeShellScriptBin "update-stage0" ''
CSRCS=${cTree} CP_C_PARAMS="--dereference --no-preserve=all" ${src + "/script/lib/update-stage0"}
'';
update-stage0-commit = writeShellScriptBin "update-stage0-commit" ''
set -euo pipefail
${update-stage0}/bin/update-stage0
git commit -m "chore: update stage0"
'';
link-ilean = writeShellScriptBin "link-ilean" ''
dest=''${1:-src}
rm -rf $dest/build/lib || true
mkdir -p $dest/build/lib
ln -s ${iTree}/* $dest/build/lib
'';
benchmarks =
let
entries = attrNames (readDir (src + "/tests/bench"));
leanFiles = map (n: elemAt n 0) (filter (n: n != null) (map (match "(.*)\.lean") entries));
in lib.genAttrs leanFiles (n: (buildLeanPackage {
name = n;
src = filterSource (e: _: baseNameOf e == "${n}.lean") (src + "/tests/bench");
}).executable);
};
stage1 = stage { stage = 1; prevStage = stage0; self = stage1; };
stage2 = stage { stage = 2; prevStage = stage1; self = stage2; };
stage3 = stage { stage = 3; prevStage = stage2; self = stage3; };
}

View File

@@ -1,247 +0,0 @@
{ lean, lean-leanDeps ? lean, lean-final ? lean, leanc,
stdenv, lib, coreutils, gnused, writeShellScriptBin, bash, substituteAll, symlinkJoin, linkFarmFromDrvs,
runCommand, darwin, mkShell, ... }:
let lean-final' = lean-final; in
lib.makeOverridable (
{ name, src, fullSrc ? src, srcPrefix ? "", srcPath ? "$PWD/${srcPrefix}",
# Lean dependencies. Each entry should be an output of buildLeanPackage.
deps ? [ lean.Init lean.Std lean.Lean ],
# Static library dependencies. Each derivation `static` should contain a static library in the directory `${static}`.
staticLibDeps ? [],
# Whether to wrap static library inputs in a -Wl,--start-group [...] -Wl,--end-group to ensure dependencies are resolved.
groupStaticLibs ? false,
# Shared library dependencies included at interpretation with --load-dynlib and linked to. Each derivation `shared` should contain a
# shared library at the path `${shared}/${shared.libName or shared.name}` and a name to link to like `-l${shared.linkName or shared.name}`.
# These libs are also linked to in packages that depend on this one.
nativeSharedLibs ? [],
# Lean modules to include.
# A set of Lean modules names as strings (`"Foo.Bar"`) or attrsets (`{ name = "Foo.Bar"; glob = "one" | "submodules" | "andSubmodules"; }`);
# see Lake README for glob meanings. Dependencies of selected modules are always included.
roots ? [ name ],
# Output from `lean --deps-json` on package source files. Persist the corresponding output attribute to a file and pass it back in here to avoid IFD.
# Must be refreshed on any change in `import`s or set of source file names.
modDepsFile ? null,
# Whether to compile each module into a native shared library that is loaded whenever the module is imported in order to accelerate evaluation
precompileModules ? false,
# Whether to compile the package into a native shared library that is loaded whenever *any* of the package's modules is imported into another package.
# If `precompileModules` is also `true`, the latter only affects imports within the current package.
precompilePackage ? precompileModules,
# Lean plugin dependencies. Each derivation `plugin` should contain a plugin library at path `${plugin}/${plugin.name}`.
pluginDeps ? [],
# `overrideAttrs` for `buildMod`
overrideBuildModAttrs ? null,
debug ? false, leanFlags ? [], leancFlags ? [], linkFlags ? [], executableName ? lib.toLower name, libName ? name, sharedLibName ? libName,
srcTarget ? "..#stage0", srcArgs ? "(\${args[*]})", lean-final ? lean-final' }@args:
with builtins; let
# "Init.Core" ~> "Init/Core"
modToPath = mod: replaceStrings ["."] ["/"] mod;
modToAbsPath = mod: "${src}/${modToPath mod}";
# sanitize file name before copying to store, except when already in store
copyToStoreSafe = base: suffix: if lib.isDerivation base then base + suffix else
builtins.path { name = lib.strings.sanitizeDerivationName (baseNameOf suffix); path = base + suffix; };
modToLean = mod: copyToStoreSafe src "/${modToPath mod}.lean";
bareStdenv = ./bareStdenv;
mkBareDerivation = args: derivation (args // {
name = lib.strings.sanitizeDerivationName args.name;
stdenv = bareStdenv;
inherit (stdenv) system;
buildInputs = (args.buildInputs or []) ++ [ coreutils ];
builder = stdenv.shell;
args = [ "-c" ''
source $stdenv/setup
set -u
${args.buildCommand}
'' ];
}) // { overrideAttrs = f: mkBareDerivation (lib.fix (lib.extends f (_: args))); };
runBareCommand = name: args: buildCommand: mkBareDerivation (args // { inherit name buildCommand; });
runBareCommandLocal = name: args: buildCommand: runBareCommand name (args // {
preferLocalBuild = true;
allowSubstitutes = false;
}) buildCommand;
mkSharedLib = name: args: runBareCommand "${name}-dynlib" {
buildInputs = [ stdenv.cc ] ++ lib.optional stdenv.isDarwin darwin.cctools;
libName = "${name}${stdenv.hostPlatform.extensions.sharedLibrary}";
} ''
mkdir -p $out
${leanc}/bin/leanc -shared ${args} -o $out/$libName
'';
depRoot = name: deps: mkBareDerivation {
name = "${name}-depRoot";
inherit deps;
depRoots = map (drv: drv.LEAN_PATH) deps;
passAsFile = [ "deps" "depRoots" ];
buildCommand = ''
mkdir -p $out
for i in $(cat $depRootsPath); do
cp -dru --no-preserve=mode $i/. $out
done
for i in $(cat $depsPath); do
cp -drsu --no-preserve=mode $i/. $out
done
'';
};
srcRoot = src;
# A flattened list of Lean-module dependencies (`deps`)
allExternalDeps = lib.unique (lib.foldr (dep: allExternalDeps: allExternalDeps ++ [ dep ] ++ dep.allExternalDeps) [] deps);
allNativeSharedLibs =
lib.unique (lib.flatten (nativeSharedLibs ++ (map (dep: dep.allNativeSharedLibs or []) allExternalDeps)));
# A flattened list of all static library dependencies: this and every dep module's explicitly provided `staticLibDeps`,
# plus every dep module itself: `dep.staticLib`
allStaticLibDeps =
lib.unique (lib.flatten (staticLibDeps ++ (map (dep: [dep.staticLib] ++ dep.staticLibDeps or []) allExternalDeps)));
pathOfSharedLib = dep: dep.libPath or "${dep}/${dep.libName or dep.name}";
leanPluginFlags = lib.concatStringsSep " " (map (dep: "--plugin=${pathOfSharedLib dep}") pluginDeps);
loadDynlibsOfDeps = deps: lib.unique (concatMap (d: d.propagatedLoadDynlibs) deps);
# submodules "Init" = ["Init.List.Basic", "Init.Core", ...]
submodules = mod: let
dir = readDir (modToAbsPath mod);
f = p: t:
if t == "directory" then
submodules "${mod}.${p}"
else
let m = builtins.match "(.*)\.lean" p;
in lib.optional (m != null) "${mod}.${head m}";
in concatLists (lib.mapAttrsToList f dir);
# conservatively approximate list of source files matched by glob
expandGlobAllApprox = g:
if typeOf g == "string" then
# we can't know the required files without parsing dependencies (which is what we want this
# function for), so we approximate to the entire package.
let root = (head (split "\\." g));
in lib.optional (pathExists (src + "/${modToPath root}.lean")) root ++ lib.optionals (pathExists (modToAbsPath root)) (submodules root)
else if g.glob == "one" then expandGlobAllApprox g.mod
else if g.glob == "submodules" then submodules g.mod
else if g.glob == "andSubmodules" then [g.mod] ++ submodules g.mod
else throw "unknown glob kind '${g}'";
# list of modules that could potentially be involved in the build
candidateMods = lib.unique (concatMap expandGlobAllApprox roots);
candidateFiles = map modToLean candidateMods;
modDepsFile = args.modDepsFile or mkBareDerivation {
name = "${name}-deps.json";
candidateFiles = lib.concatStringsSep " " candidateFiles;
passAsFile = [ "candidateFiles" ];
buildCommand = ''
mkdir $out
${lean-leanDeps}/bin/lean --deps-json --stdin < $candidateFilesPath > $out/$name
'';
};
modDeps = fromJSON (
# the only possible references to store paths in the JSON should be inside errors, so no chance of missed dependencies from this
unsafeDiscardStringContext (readFile "${modDepsFile}/${modDepsFile.name}"));
# map from module name to list of imports
modDepsMap = listToAttrs (lib.zipListsWith lib.nameValuePair candidateMods modDeps.imports);
maybeOverrideAttrs = f: x: if f != null then x.overrideAttrs f else x;
# build module (.olean and .c) given derivations of all (immediate) dependencies
# TODO: make `rec` parts override-compatible?
buildMod = mod: deps: maybeOverrideAttrs overrideBuildModAttrs (mkBareDerivation rec {
name = "${mod}";
LEAN_PATH = depRoot mod deps;
LEAN_ABORT_ON_PANIC = "1";
relpath = modToPath mod;
buildInputs = [ lean ];
leanPath = relpath + ".lean";
# should be either single .lean file or directory directly containing .lean file plus dependencies
src = copyToStoreSafe srcRoot ("/" + leanPath);
outputs = [ "out" "ilean" "c" ];
oleanPath = relpath + ".olean";
ileanPath = relpath + ".ilean";
cPath = relpath + ".c";
inherit leanFlags leanPluginFlags;
leanLoadDynlibFlags = map (p: "--load-dynlib=${pathOfSharedLib p}") (loadDynlibsOfDeps deps);
buildCommand = ''
dir=$(dirname $relpath)
mkdir -p $dir $out/$dir $ilean/$dir $c/$dir
if [ -d $src ]; then cp -r $src/. .; else cp $src $leanPath; fi
lean -o $out/$oleanPath -i $out/$ileanPath -c $c/$cPath $leanPath $leanFlags $leanPluginFlags $leanLoadDynlibFlags
'';
}) // {
inherit deps;
propagatedLoadDynlibs = loadDynlibsOfDeps deps;
};
compileMod = mod: drv: mkBareDerivation {
name = "${mod}-cc";
buildInputs = [ leanc stdenv.cc ];
hardeningDisable = [ "all" ];
oPath = drv.relpath + ".o";
inherit leancFlags;
buildCommand = ''
mkdir -p $out/$(dirname ${drv.relpath})
# make local "copy" so `drv`'s Nix store path doesn't end up in ccache's hash
ln -s ${drv.c}/${drv.cPath} src.c
# on the other hand, a debug build is pretty fast anyway, so preserve the path for gdb
leanc -c -o $out/$oPath $leancFlags -fPIC ${if debug then "${drv.c}/${drv.cPath} -g" else "src.c -O3 -DNDEBUG -DLEAN_EXPORTING"}
'';
};
mkMod = mod: deps:
let drv = buildMod mod deps;
obj = compileMod mod drv;
# this attribute will only be used if any dependent module is precompiled
sharedLib = mkSharedLib mod "${obj}/${obj.oPath} ${lib.concatStringsSep " " (map (d: pathOfSharedLib d.sharedLib) deps)}";
in drv // {
inherit obj sharedLib;
} // lib.optionalAttrs precompileModules {
propagatedLoadDynlibs = [sharedLib];
};
externalModMap = lib.foldr (dep: depMap: depMap // dep.mods) {} allExternalDeps;
# map from module name to derivation
modCandidates = mapAttrs (mod: header:
let
deps = if header.errors == []
then map (m: m.module) header.result.imports
else abort "errors while parsing imports of ${mod}:\n${lib.concatStringsSep "\n" header.errors}";
in mkMod mod (map (dep: if modDepsMap ? ${dep} then modCandidates.${dep} else externalModMap.${dep}) deps)) modDepsMap;
expandGlob = g:
if typeOf g == "string" then [g]
else if g.glob == "one" then [g.mod]
else if g.glob == "submodules" then submodules g.mod
else if g.glob == "andSubmodules" then [g.mod] ++ submodules g.mod
else throw "unknown glob kind '${g}'";
# subset of `modCandidates` that is transitively reachable from `roots`
mods' = listToAttrs (map (e: { name = e.key; value = modCandidates.${e.key}; }) (genericClosure {
startSet = map (m: { key = m; }) (concatMap expandGlob roots);
operator = e: if modDepsMap ? ${e.key} then map (m: { key = m.module; }) (filter (m: modCandidates ? ${m.module}) modDepsMap.${e.key}.result.imports) else [];
}));
allLinkFlags = lib.foldr (shared: acc: acc ++ [ "-L${shared}" "-l${shared.linkName or shared.name}" ]) linkFlags allNativeSharedLibs;
objects = mapAttrs (_: m: m.obj) mods';
bintools = if stdenv.isDarwin then darwin.cctools else stdenv.cc.bintools.bintools;
staticLib = runCommand "${name}-lib" { buildInputs = [ bintools ]; } ''
mkdir -p $out
ar Trcs $out/lib${libName}.a ${lib.concatStringsSep " " (map (drv: "${drv}/${drv.oPath}") (attrValues objects))};
'';
staticLibLinkWrapper = libs: if groupStaticLibs && !stdenv.isDarwin
then "-Wl,--start-group ${libs} -Wl,--end-group"
else "${libs}";
in rec {
inherit name lean deps staticLibDeps allNativeSharedLibs allLinkFlags allExternalDeps src objects staticLib modDepsFile;
mods = mapAttrs (_: m:
m //
# if neither precompilation option was set but a dependent module wants to be precompiled, default to precompiling this package whole
lib.optionalAttrs (precompilePackage || !precompileModules) { inherit sharedLib; } //
lib.optionalAttrs precompilePackage { propagatedLoadDynlibs = [sharedLib]; })
mods';
modRoot = depRoot name (attrValues mods);
depRoots = linkFarmFromDrvs "depRoots" (map (m: m.LEAN_PATH) (attrValues mods));
cTree = symlinkJoin { name = "${name}-cTree"; paths = map (mod: mod.c) (attrValues mods); };
oTree = symlinkJoin { name = "${name}-oTree"; paths = (attrValues objects); };
iTree = symlinkJoin { name = "${name}-iTree"; paths = map (mod: mod.ilean) (attrValues mods); };
sharedLib = mkSharedLib "lib${sharedLibName}" ''
${if stdenv.isDarwin then "-Wl,-force_load,${staticLib}/lib${libName}.a" else "-Wl,--whole-archive ${staticLib}/lib${libName}.a -Wl,--no-whole-archive"} \
${lib.concatStringsSep " " (map (d: "${d.sharedLib}/*") deps)}'';
executable = lib.makeOverridable ({ withSharedStdlib ? true }: let
objPaths = map (drv: "${drv}/${drv.oPath}") (attrValues objects) ++ lib.optional withSharedStdlib "${lean-final.leanshared}/*";
in runCommand executableName { buildInputs = [ stdenv.cc leanc ]; } ''
mkdir -p $out/bin
leanc ${staticLibLinkWrapper (lib.concatStringsSep " " (objPaths ++ map (d: "${d}/*.a") allStaticLibDeps))} \
-o $out/bin/${executableName} \
${lib.concatStringsSep " " allLinkFlags}
'') {};
})

View File

@@ -1,42 +0,0 @@
#!@bash@/bin/bash
set -euo pipefail
function pebkac() {
echo 'This is just a simple Nix adapter for `lake print-paths|serve`.'
exit 1
}
[[ $# -gt 0 ]] || pebkac
case $1 in
--version)
# minimum version for `lake serve` with fallback
echo 3.1.0
;;
print-paths)
shift
deps="$@"
root=.
# fall back to initial package if not in package
[[ ! -f "$root/flake.nix" ]] && root="@srcRoot@"
target="$root#print-paths"
args=()
# HACK: use stage 0 instead of 1 inside Lean's own `src/`
[[ -d Lean && -f ../flake.nix ]] && target="@srcTarget@print-paths" && args=@srcArgs@
for dep in $deps; do
target="$target.\"$dep\""
done
echo "Building dependencies..." >&2
# -v only has "built ...", but "-vv" is a bit too verbose
exec @nix@/bin/nix run "$target" ${args[*]} -v
;;
serve)
shift
[[ ${1:-} == "--" ]] && shift
# `link-ilean` puts them there
LEAN_PATH=${LEAN_PATH:+$LEAN_PATH:}$PWD/build/lib exec $(dirname $0)/lean --server "$@"
;;
*)
pebkac
;;
esac

View File

@@ -1,28 +0,0 @@
#!@bash@/bin/bash
set -euo pipefail
root="."
# find package root
while [[ "$root" != / ]]; do
[ -f "$root/flake.nix" ] && break
root="$(realpath "$root/..")"
done
# fall back to initial package if not in package
[[ ! -f "$root/flake.nix" ]] && root="@srcRoot@"
# use Lean w/ package unless in server mode (which has its own LEAN_PATH logic)
target="$root#lean-package"
for arg in "$@"; do
case $arg in
--server | --worker | -v | --version)
target="$root#lean"
;;
esac
done
args=(-- "$@")
# HACK: use stage 0 instead of 1 inside Lean's own `src/`
[[ -d Lean && -f ../flake.nix ]] && target="@srcTarget@" && args=@srcArgs@
LEAN_SYSROOT="$(dirname "$0")/.." exec @nix@/bin/nix ${LEAN_NIX_ARGS:-} run "$target" ${args[*]}

View File

@@ -1,52 +0,0 @@
{ src, pkgs, ... } @ args:
with pkgs;
let
# https://github.com/NixOS/nixpkgs/issues/130963
llvmPackages = if stdenv.isDarwin then llvmPackages_11 else llvmPackages_15;
cc = (ccacheWrapper.override rec {
cc = llvmPackages.clang;
extraConfig = ''
export CCACHE_DIR=/nix/var/cache/ccache
export CCACHE_UMASK=007
export CCACHE_BASE_DIR=$NIX_BUILD_TOP
# https://github.com/NixOS/nixpkgs/issues/109033
args=("$@")
for ((i=0; i<"''${#args[@]}"; i++)); do
case ''${args[i]} in
-frandom-seed=*) unset args[i]; break;;
esac
done
set -- "''${args[@]}"
[ -d $CCACHE_DIR ] || exec ${cc}/bin/$(basename "$0") "$@"
'';
}).overrideAttrs (old: {
# https://github.com/NixOS/nixpkgs/issues/119779
installPhase = builtins.replaceStrings ["use_response_file_by_default=1"] ["use_response_file_by_default=0"] old.installPhase;
});
stdenv' = if stdenv.isLinux then useGoldLinker stdenv else stdenv;
lean = callPackage (import ./bootstrap.nix) (args // {
stdenv = overrideCC stdenv' cc;
inherit src buildLeanPackage llvmPackages;
});
makeOverridableLeanPackage = f:
let newF = origArgs: f origArgs // {
overrideArgs = newArgs: makeOverridableLeanPackage f (origArgs // newArgs);
};
in lib.setFunctionArgs newF (lib.getFunctionArgs f) // {
override = args: makeOverridableLeanPackage (f.override args);
};
buildLeanPackage = makeOverridableLeanPackage (callPackage (import ./buildLeanPackage.nix) (args // {
inherit (lean) stdenv;
lean = lean.stage1;
inherit (lean.stage1) leanc;
}));
in {
inherit cc buildLeanPackage llvmPackages;
nixpkgs = pkgs;
ciShell = writeShellScriptBin "ciShell" ''
set -o pipefail
export PATH=${moreutils}/bin:$PATH
# prefix lines with cumulative and individual execution time
"$@" |& ts -i "(%.S)]" | ts -s "[%M:%S"
'';
} // lean.stage1

View File

@@ -1 +0,0 @@
#eval "Hello, world!"

View File

@@ -1,21 +0,0 @@
{
description = "My Lean package";
inputs.lean.url = "github:leanprover/lean4";
inputs.flake-utils.url = "github:numtide/flake-utils";
outputs = { self, lean, flake-utils }: flake-utils.lib.eachDefaultSystem (system:
let
leanPkgs = lean.packages.${system};
pkg = leanPkgs.buildLeanPackage {
name = "MyPackage"; # must match the name of the top-level .lean file
src = ./.;
};
in {
packages = pkg // {
inherit (leanPkgs) lean;
};
defaultPackage = pkg.modRoot;
});
}

View File

@@ -0,0 +1,101 @@
/-
Copyright (c) 2025 Amazon.com, Inc. or its affiliates. All Rights Reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean
namespace Lean.Meta.Grind.Analyzer
/-!
A simple E-matching annotation analyzer.
For each theorem annotated as an E-matching candidate, it creates an artificial goal, executes `grind` and shows the
number of instances created.
For a theorem of the form `params -> type`, the artificial goal is of the form `params -> type -> False`.
-/
/--
`grind` configuration for the analyzer. We disable case-splits and lookahead,
increase the number of generations, and limit the number of instances generated.
-/
def config : Grind.Config := {
splits := 0
lookahead := false
mbtc := false
ematch := 20
instances := 100
gen := 10
}
structure Config where
/-- Minimum number of instantiations to trigger summary report -/
min : Nat := 10
/-- Minimum number of instantiations to trigger detailed report -/
detailed : Nat := 50
def mkParams : MetaM Params := do
let params Grind.mkParams config
let ematch getEMatchTheorems
let casesTypes Grind.getCasesTypes
return { params with ematch, casesTypes }
/-- Returns the total number of generated instances. -/
private def sum (cs : PHashMap Origin Nat) : Nat := Id.run do
let mut r := 0
for (_, c) in cs do
r := r + c
return r
private def thmsToMessageData (thms : PHashMap Origin Nat) : MetaM MessageData := do
let data := thms.toArray.filterMap fun (origin, c) =>
match origin with
| .decl declName => some (declName, c)
| _ => none
let data := data.qsort fun (d₁, c₁) (d₂, c₂) => if c₁ == c₂ then Name.lt d₁ d₂ else c₁ > c₂
let data data.mapM fun (declName, counter) =>
return .trace { cls := `thm } m!"{.ofConst (← mkConstWithLevelParams declName)} ↦ {counter}" #[]
return .trace { cls := `thm } "instances" data
/--
Analyzes theorem `declName`. That is, creates the artificial goal based on `declName` type,
and invokes `grind` on it.
-/
def analyzeEMatchTheorem (declName : Name) (c : Config) : MetaM Unit := do
let info getConstInfo declName
let mvarId forallTelescope info.type fun _ type => do
withLocalDeclD `h type fun _ => do
return ( mkFreshExprMVar (mkConst ``False)).mvarId!
let result Grind.main mvarId ( mkParams) (pure ())
let thms := result.counters.thm
let s := sum thms
if s > c.min then
IO.println s!"{declName} : {s}"
if s > c.detailed then
logInfo m!"{declName}\n{← thmsToMessageData thms}"
-- Not sure why this is failing: `down_pure` perhaps has an unnecessary universe parameter?
run_meta analyzeEMatchTheorem ``Std.Do.SPred.down_pure {}
/-- Analyzes all theorems in the standard library marked as E-matching theorems. -/
def analyzeEMatchTheorems (c : Config := {}) : MetaM Unit := do
let origins := ( getEMatchTheorems).getOrigins
let decls := origins.filterMap fun | .decl declName => some declName | _ => none
for declName in decls.mergeSort Name.lt do
try
analyzeEMatchTheorem declName c
catch e =>
logError m!"{declName} failed with {e.toMessageData}"
logInfo m!"Finished analyzing {decls.length} theorems"
/-- Macro for analyzing E-match theorems with unlimited heartbeats -/
macro "#analyzeEMatchTheorems" : command => `(
set_option maxHeartbeats 0 in
run_meta analyzeEMatchTheorems
)
#analyzeEMatchTheorems
-- -- We can analyze specific theorems using commands such as
set_option trace.grind.ematch.instance true in
run_meta analyzeEMatchTheorem ``List.filterMap_some {}

View File

@@ -1,9 +1,96 @@
#!/usr/bin/env bash
set -euo pipefail
set -euxo pipefail
# We benchmark against stage 2 to test new optimizations.
timeout -s KILL 1h time bash -c 'mkdir -p build/release; cd build/release; cmake ../.. && make -j$(nproc) stage2' 1>&2
cmake --preset release 1>&2
# We benchmark against stage2/bin to test new optimizations.
timeout -s KILL 1h time make -C build/release -j$(nproc) stage3 1>&2
export PATH=$PWD/build/release/stage2/bin:$PATH
# The extra opts used to be passed to the Makefile during benchmarking only but with Lake it is
# easier to configure them statically.
cmake -B build/release/stage3 -S src -DLEAN_EXTRA_LAKEFILE_TOML='weakLeanArgs=["-Dprofiler=true", "-Dprofiler.threshold=9999999", "--stats"]' 1>&2
(
cd tests/bench
timeout -s KILL 1h time temci exec --config speedcenter.yaml --in speedcenter.exec.velcom.yaml 1>&2
temci report run_output.yaml --reporter codespeed2
)
if [ -d .git ]; then
DIR="$(git rev-parse @)"
BASE_URL="https://speed.lean-lang.org/lean4-out/$DIR"
{
cat <<'EOF'
<!DOCTYPE html>
<html>
<head>
<meta charset="UTF-8">
<title>Lakeprof Report</title>
</head>
<h1>Lakeprof Report</h1>
<button type="button" id="btn_fetch">View build trace in Perfetto</button>
<script type="text/javascript">
const ORIGIN = 'https://ui.perfetto.dev';
const btnFetch = document.getElementById('btn_fetch');
async function fetchAndOpen(traceUrl) {
const resp = await fetch(traceUrl);
// Error checking is left as an exercise to the reader.
const blob = await resp.blob();
const arrayBuffer = await blob.arrayBuffer();
openTrace(arrayBuffer, traceUrl);
}
function openTrace(arrayBuffer, traceUrl) {
const win = window.open(ORIGIN);
if (!win) {
btnFetch.style.background = '#f3ca63';
btnFetch.onclick = () => openTrace(arrayBuffer);
btnFetch.innerText = 'Popups blocked, click here to open the trace file';
return;
}
const timer = setInterval(() => win.postMessage('PING', ORIGIN), 50);
const onMessageHandler = (evt) => {
if (evt.data !== 'PONG') return;
// We got a PONG, the UI is ready.
window.clearInterval(timer);
window.removeEventListener('message', onMessageHandler);
const reopenUrl = new URL(location.href);
reopenUrl.hash = `#reopen=${traceUrl}`;
win.postMessage({
perfetto: {
buffer: arrayBuffer,
title: 'Lake Build Trace',
url: reopenUrl.toString(),
}}, ORIGIN);
};
window.addEventListener('message', onMessageHandler);
}
// This is triggered when following the link from the Perfetto UI's sidebar.
if (location.hash.startsWith('#reopen=')) {
const traceUrl = location.hash.substr(8);
fetchAndOpen(traceUrl);
}
EOF
cat <<EOF
btnFetch.onclick = () => fetchAndOpen("$BASE_URL/lakeprof.trace_event");
</script>
EOF
echo "<pre><code>"
(cd src; lakeprof report -prc)
echo "</code></pre>"
echo "</body></html>"
} | tee index.html
curl -T index.html $BASE_URL/index.html
curl -T src/lakeprof.log $BASE_URL/lakeprof.log
curl -T src/lakeprof.trace_event $BASE_URL/lakeprof.trace_event
fi

View File

@@ -28,13 +28,6 @@ repositories:
branch: main
dependencies: []
- name: doc-gen4
url: https://github.com/leanprover/doc-gen4
toolchain-tag: true
stable-branch: false
branch: main
dependencies: [lean4-cli]
- name: verso
url: https://github.com/leanprover/verso
toolchain-tag: true
@@ -42,6 +35,28 @@ repositories:
branch: main
dependencies: []
- name: plausible
url: https://github.com/leanprover-community/plausible
toolchain-tag: true
stable-branch: false
branch: main
dependencies: []
- name: import-graph
url: https://github.com/leanprover-community/import-graph
toolchain-tag: true
stable-branch: false
branch: main
dependencies:
- lean4-cli
- name: doc-gen4
url: https://github.com/leanprover/doc-gen4
toolchain-tag: true
stable-branch: false
branch: main
dependencies: [lean4-cli]
- name: reference-manual
url: https://github.com/leanprover/reference-manual
toolchain-tag: true
@@ -65,22 +80,6 @@ repositories:
dependencies:
- batteries
- name: import-graph
url: https://github.com/leanprover-community/import-graph
toolchain-tag: true
stable-branch: false
branch: main
dependencies:
- lean4-cli
- batteries
- name: plausible
url: https://github.com/leanprover-community/plausible
toolchain-tag: true
stable-branch: false
branch: main
dependencies: []
- name: mathlib4
url: https://github.com/leanprover-community/mathlib4
toolchain-tag: true

View File

@@ -195,7 +195,7 @@ def execute_release_steps(repo, version, config):
run_command(f"git checkout {default_branch} && git pull", cwd=repo_path)
# Special rc1 safety check for batteries and mathlib4 (before creating any branches)
if re.search(r'rc\d+$', version) and repo_name in ["batteries", "mathlib4"] and version.endswith('-rc1'):
if repo_name in ["batteries", "mathlib4"] and version.endswith('-rc1'):
print(blue("This repo has nightly-testing infrastructure"))
print(blue(f"Checking if nightly-testing can be safely merged into bump/{version.split('-rc')[0]}..."))
@@ -403,7 +403,7 @@ def execute_release_steps(repo, version, config):
raise
# Handle special merging cases
if re.search(r'rc\d+$', version) and repo_name in ["batteries", "mathlib4"]:
if version.endswith('-rc1') and repo_name in ["batteries", "mathlib4"]:
print(blue("This repo uses `bump/v4.X.0` branches for reviewed content from nightly-testing."))
# Determine which remote to use for bump branches
@@ -474,7 +474,7 @@ def execute_release_steps(repo, version, config):
print(green("✅ Merge completed successfully with automatic conflict resolution"))
elif re.search(r'rc\d+$', version):
elif version.endswith('-rc1'):
# For all other repos with rc versions, merge nightly-testing
if repo_name in ["verso", "reference-manual"]:
print(yellow("This repo does development on nightly-testing: remember to rebase merge the PR."))

View File

@@ -10,7 +10,7 @@ endif()
include(ExternalProject)
project(LEAN CXX C)
set(LEAN_VERSION_MAJOR 4)
set(LEAN_VERSION_MINOR 23)
set(LEAN_VERSION_MINOR 24)
set(LEAN_VERSION_PATCH 0)
set(LEAN_VERSION_IS_RELEASE 0) # This number is 1 in the release revision, and 0 otherwise.
set(LEAN_SPECIAL_VERSION_DESC "" CACHE STRING "Additional version description like 'nightly-2018-03-11'")
@@ -81,7 +81,7 @@ option(USE_MIMALLOC "use mimalloc" ON)
# development-specific options
option(CHECK_OLEAN_VERSION "Only load .olean files compiled with the current version of Lean" OFF)
option(USE_LAKE "Use Lake instead of lean.mk for building core libs from language server" OFF)
option(USE_LAKE "Use Lake instead of lean.mk for building core libs from language server" ON)
set(LEAN_EXTRA_MAKE_OPTS "" CACHE STRING "extra options to lean --make")
set(LEANC_CC ${CMAKE_C_COMPILER} CACHE STRING "C compiler to use in `leanc`")
@@ -533,12 +533,21 @@ else()
OUTPUT_VARIABLE GIT_SHA1
OUTPUT_STRIP_TRAILING_WHITESPACE)
message(STATUS "stage0 sha1: ${GIT_SHA1}")
# Now that we've prepared the information for the next stage, we can forget that we will use
# Lake in the future as we won't use it in this stage
set(USE_LAKE OFF)
else()
set(GIT_SHA1 "")
endif()
endif()
configure_file("${LEAN_SOURCE_DIR}/githash.h.in" "${LEAN_BINARY_DIR}/githash.h")
if(USE_LAKE AND ${STAGE} EQUAL 0)
# Now that we've prepared the information for the next stage, we can forget that we will use
# Lake in the future as we won't use it in this stage
set(USE_LAKE OFF)
endif()
# Windows uses ";" as a path separator. We use `LEAN_PATH_SEPARATOR` on scripts such as lean.mk.in
if(${CMAKE_SYSTEM_NAME} MATCHES "Windows")
set(LEAN_PATH_SEPARATOR ";")
@@ -675,12 +684,17 @@ if (LLVM AND ${STAGE} GREATER 0)
set(EXTRA_LEANMAKE_OPTS "LLVM=1")
endif()
set(STDLIBS Init Std Lean Leanc)
if(NOT ${CMAKE_SYSTEM_NAME} MATCHES "Emscripten")
list(APPEND STDLIBS Lake)
endif()
add_custom_target(make_stdlib ALL
WORKING_DIRECTORY ${LEAN_SOURCE_DIR}
# The actual rule is in a separate makefile because we want to prefix it with '+' to use the Make job server
# for a parallelized nested build, but CMake doesn't let us do that.
# We use `lean` from the previous stage, but `leanc`, headers, etc. from the current stage
COMMAND $(MAKE) -f ${CMAKE_BINARY_DIR}/stdlib.make Init Std Lean Leanc
COMMAND $(MAKE) -f ${CMAKE_BINARY_DIR}/stdlib.make ${STDLIBS}
VERBATIM)
# if we have LLVM enabled, then build `lean.h.bc` which has the LLVM bitcode
@@ -724,14 +738,9 @@ else()
endif()
if(NOT ${CMAKE_SYSTEM_NAME} MATCHES "Emscripten")
add_custom_target(lake_lib
WORKING_DIRECTORY ${LEAN_SOURCE_DIR}
DEPENDS leanshared
COMMAND $(MAKE) -f ${CMAKE_BINARY_DIR}/stdlib.make Lake
VERBATIM)
add_custom_target(lake_shared
WORKING_DIRECTORY ${LEAN_SOURCE_DIR}
DEPENDS lake_lib
DEPENDS leanshared
COMMAND $(MAKE) -f ${CMAKE_BINARY_DIR}/stdlib.make libLake_shared
VERBATIM)
add_custom_target(lake ALL
@@ -812,6 +821,12 @@ if(LEAN_INSTALL_PREFIX)
set(CMAKE_INSTALL_PREFIX "${LEAN_INSTALL_PREFIX}/lean-${LEAN_VERSION_STRING}${LEAN_INSTALL_SUFFIX}")
endif()
if (STAGE GREATER 1)
# The build of stage2+ may depend on local changes made to src/ that are not reflected by the
# commit hash in stage1/bin/lean, so we make sure to disable the global cache
string(APPEND LEAN_EXTRA_LAKEFILE_TOML "\n\nenableArtifactCache = false")
endif()
# Escape for `make`. Yes, twice.
string(REPLACE "$" "\\\$$" CMAKE_EXE_LINKER_FLAGS_MAKE "${CMAKE_EXE_LINKER_FLAGS}")
configure_file(${LEAN_SOURCE_DIR}/stdlib.make.in ${CMAKE_BINARY_DIR}/stdlib.make)
@@ -838,6 +853,10 @@ if(${CMAKE_SYSTEM_NAME} MATCHES "Windows")
set(LAKE_LIB_PREFIX "lib")
endif()
if(USE_LAKE AND STAGE EQUAL 1)
configure_file(${LEAN_SOURCE_DIR}/lakefile.toml.in ${LEAN_SOURCE_DIR}/lakefile.toml)
if(USE_LAKE)
configure_file(${LEAN_SOURCE_DIR}/lakefile.toml.in ${CMAKE_BINARY_DIR}/lakefile.toml)
# copy for editing
if(STAGE EQUAL 1)
configure_file(${LEAN_SOURCE_DIR}/lakefile.toml.in ${LEAN_SOURCE_DIR}/lakefile.toml)
endif()
endif()

View File

@@ -39,7 +39,7 @@ This gadget is supported by
* `simp`, `dsimp` and `rw` in the right-hand-side of an equation
* `simp` in the assumptions of congruence rules
It is ineffective in other positions (hyptheses of rewrite rules) or when used by other tactics
It is ineffective in other positions (hypotheses of rewrite rules) or when used by other tactics
(e.g. `apply`).
-/
@[simp , expose]

View File

@@ -9,7 +9,7 @@ prelude
public import Init.Core
public import Init.BinderNameHint
public section
@[expose] public section
universe u v w

View File

@@ -12,7 +12,7 @@ public import Init.Control.Basic
public import Init.Control.Id
public import Init.Coe
public section
@[expose] public section
namespace Except
variable {ε : Type u}

View File

@@ -52,4 +52,4 @@ instance ReaderT.tryFinally [MonadFinally m] : MonadFinally (ReaderT ρ m) where
A monad with access to a read-only value of type `ρ`. The value can be locally overridden by
`withReader`, but it cannot be mutated.
-/
@[reducible] def ReaderM (ρ : Type u) := ReaderT ρ Id
abbrev ReaderM (ρ : Type u) := ReaderT ρ Id

View File

@@ -187,6 +187,9 @@ match [a, b] with
simplifies to `a`. -/
syntax (name := simpMatch) "simp_match" : conv
/-- Removes one or more hypotheses from the local context. -/
syntax (name := clear) "clear" (ppSpace colGt term:max)+ : conv
/-- Executes the given tactic block without converting `conv` goal into a regular goal. -/
syntax (name := nestedTacticCore) "tactic'" " => " tacticSeq : conv
@@ -262,7 +265,7 @@ resulting in `t'`, which becomes the new target subgoal. -/
syntax (name := convConvSeq) "conv" " => " convSeq : conv
/-- `· conv` focuses on the main conv goal and tries to solve it using `s`. -/
macro dot:patternIgnore("·" <|> ".") s:convSeq : conv => `(conv| {%$dot ($s) })
macro dot:patternIgnore("· " <|> ". ") s:convSeq : conv => `(conv| {%$dot ($s) })
/-- `fail_if_success t` fails if the tactic `t` succeeds. -/
@@ -342,7 +345,7 @@ This is the conv mode version of the `lift_lets` tactic.
syntax (name := liftLets) "lift_lets " optConfig : conv
/--
Transforms `let` expressions into `have` expressions within th etarget expression when possible.
Transforms `let` expressions into `have` expressions within the target expression when possible.
This is the conv mode version of the `let_to_have` tactic.
-/
syntax (name := letToHave) "let_to_have" : conv

View File

@@ -29,6 +29,29 @@ theorem id_def {α : Sort u} (a : α) : id a = a := rfl
attribute [grind] id
/--
A helper gadget for instructing the kernel to eagerly reduce terms.
When the gadget wraps the argument of an application, then when checking that
the expected and inferred type of the argument match, the kernel will evaluate terms more eagerly.
It is often used to wrap `Eq.refl true` proof terms as `eagerReduce (Eq.refl true)`
when using proof by reflection.
As an example, consider the theorem:
```
theorem eq_norm (ctx : Context) (p₁ p₂ : Poly) (h : (p₁.norm == p₂) = true) :
p₁.denote ctx = 0 → p₂.denote ctx = 0
```
The argument `h : (p₁.norm == p₂) = true` is a candidate for `eagerReduce`.
When applying this theorem, we would write:
```
eq_norm ctx p q (eagerReduce (Eq.refl true)) h
```
to instruct the kernel to use eager reduction when establishing that `(p.norm == q) = true` is
definitionally equal to `true = true`.
-/
@[expose] def eagerReduce {α : Sort u} (a : α) : α := a
/--
`flip f a b` is `f b a`. It is useful for "point-free" programming,
since it can sometimes be used to avoid introducing variables.
@@ -752,6 +775,8 @@ Unlike `x ≠ y` (which is notation for `Ne x y`), this is `Bool` valued instead
@[inherit_doc] infix:50 " != " => bne
macro_rules | `($x != $y) => `(binrel_no_prop% bne $x $y)
recommended_spelling "bne" for "!=" in [bne, «term_!=_»]
/-- `ReflBEq α` says that the `BEq` implementation is reflexive. -/
@@ -853,6 +878,8 @@ and asserts that `a` and `b` are not equal.
@[inherit_doc] infix:50 "" => Ne
macro_rules | `($x $y) => `(binrel% Ne $x $y)
recommended_spelling "ne" for "" in [Ne, «term__»]
section Ne
@@ -1532,38 +1559,13 @@ end Setoid
/-! # Propositional extensionality -/
/--
The axiom of **propositional extensionality**. It asserts that if propositions
`a` and `b` are logically equivalent (i.e. we can prove `a` from `b` and vice versa),
then `a` and `b` are *equal*, meaning that we can replace `a` with `b` in all
contexts.
The [axiom](lean-manual://section/axioms) of **propositional extensionality**. It asserts that if
propositions `a` and `b` are logically equivalent (that is, if `a` can be proved from `b` and vice
versa), then `a` and `b` are *equal*, meaning `a` can be replaced with `b` in all contexts.
For simple expressions like `a ∧ c d → e` we can prove that because all the logical
connectives respect logical equivalence, we can replace `a` with `b` in this expression
without using `propext`. However, for higher order expressions like `P a` where
`P : Prop → Prop` is unknown, or indeed for `a = b` itself, we cannot replace `a` with `b`
without an axiom which says exactly this.
This is a relatively uncontroversial axiom, which is intuitionistically valid.
It does however block computation when using `#reduce` to reduce proofs directly
(which is not recommended), meaning that canonicity,
the property that all closed terms of type `Nat` normalize to numerals,
fails to hold when this (or any) axiom is used:
```
set_option pp.proofs true
def foo : Nat := by
have : (True → True) ↔ True := ⟨λ _ => trivial, λ _ _ => trivial⟩
have := propext this ▸ (2 : Nat)
exact this
#reduce foo
-- propext { mp := fun x x => True.intro, mpr := fun x => True.intro } ▸ 2
#eval foo -- 2
```
`#eval` can evaluate it to a numeral because the compiler erases casts and
does not evaluate proofs, so `propext`, whose return type is a proposition,
can never block it.
The standard logical connectives provably respect propositional extensionality. However, an axiom is
needed for higher order expressions like `P a` where `P : Prop → Prop` is unknown, as well as for
equality. Propositional extensionality is intuitionistically valid.
-/
axiom propext {a b : Prop} : (a b) a = b
@@ -1594,6 +1596,7 @@ gen_injective_theorems% MProd
gen_injective_theorems% NonScalar
gen_injective_theorems% Option
gen_injective_theorems% PLift
gen_injective_theorems% PULift
gen_injective_theorems% PNonScalar
gen_injective_theorems% PProd
gen_injective_theorems% Prod
@@ -2519,12 +2522,17 @@ class Antisymm (r : αα → Prop) : Prop where
/-- An antisymmetric relation `r` satisfies `r a b → r b a → a = b`. -/
antisymm (a b : α) : r a b r b a a = b
/-- `Asymm X r` means that the binary relation `r` on `X` is asymmetric, that is,
/-- `Asymm r` means that the binary relation `r` is asymmetric, that is,
`r a b → ¬ r b a`. -/
class Asymm (r : α α Prop) : Prop where
/-- An asymmetric relation satisfies `r a b → ¬ r b a`. -/
asymm : a b, r a b ¬r b a
/-- `Symm r` means that the binary relation `r` is symmetric, that is, `r a b → r b a`. -/
class Symm (r : α α Prop) : Prop where
/-- A symmetric relation satisfies `r a b → r b a`. -/
symm : a b, r a b r b a
/-- `Total X r` means that the binary relation `r` on `X` is total, that is, that for any
`x y : X` we have `r x y` or `r y x`. -/
class Total (r : α α Prop) : Prop where
@@ -2538,3 +2546,7 @@ class Irrefl (r : αα → Prop) : Prop where
irrefl : a, ¬r a a
end Std
/-- Deprecated alias for `XorOp`. -/
@[deprecated XorOp (since := "2025-07-30")]
abbrev Xor := XorOp

View File

@@ -49,5 +49,7 @@ public import Init.Data.Vector
public import Init.Data.Iterators
public import Init.Data.Range.Polymorphic
public import Init.Data.Slice
public import Init.Data.Order
public import Init.Data.Rat
public section

View File

@@ -10,7 +10,7 @@ prelude
public import Init.Classical
public import Init.ByCases
public section
@[expose] public section
namespace Lean.Data.AC
inductive Expr

View File

@@ -163,7 +163,7 @@ representation of arrays. While this is not provable, `Array.usize` always retur
the array since the implementation only supports arrays of size less than `USize.size`.
-/
@[extern "lean_array_size", simp]
def usize (a : @& Array α) : USize := a.size.toUSize
def usize (xs : @& Array α) : USize := xs.size.toUSize
/--
Low-level indexing operator which is as fast as a C array read.
@@ -171,8 +171,8 @@ Low-level indexing operator which is as fast as a C array read.
This avoids overhead due to unboxing a `Nat` used as an index.
-/
@[extern "lean_array_uget", simp, expose]
def uget (a : @& Array α) (i : USize) (h : i.toNat < a.size) : α :=
a[i.toNat]
def uget (xs : @& Array α) (i : USize) (h : i.toNat < xs.size) : α :=
xs[i.toNat]
/--
Low-level modification operator which is as fast as a C array write. The modification is performed
@@ -1165,7 +1165,7 @@ Examples:
def zipIdx (xs : Array α) (start := 0) : Array (α × Nat) :=
xs.mapIdx fun i a => (a, start + i)
@[deprecated zipIdx (since := "2025-01-21")] abbrev zipWithIndex := @zipIdx
/--
Returns the first element of the array for which the predicate `p` returns `true`, or `none` if no
@@ -1285,7 +1285,7 @@ def findFinIdx? {α : Type u} (p : α → Bool) (as : Array α) : Option (Fin as
decreasing_by simp_wf; decreasing_trivial_pre_omega
loop 0
theorem findIdx?_loop_eq_map_findFinIdx?_loop_val {xs : Array α} {p : α Bool} {j} :
private theorem findIdx?_loop_eq_map_findFinIdx?_loop_val {xs : Array α} {p : α Bool} {j} :
findIdx?.loop p xs j = (findFinIdx?.loop p xs j).map (·.val) := by
unfold findIdx?.loop
unfold findFinIdx?.loop
@@ -1322,8 +1322,7 @@ def idxOfAux [BEq α] (xs : Array α) (v : α) (i : Nat) : Option (Fin xs.size)
else none
decreasing_by simp_wf; decreasing_trivial_pre_omega
@[deprecated idxOfAux (since := "2025-01-29")]
abbrev indexOfAux := @idxOfAux
/--
Returns the index of the first element equal to `a`, or the size of the array if no element is equal
@@ -1338,8 +1337,7 @@ Examples:
def finIdxOf? [BEq α] (xs : Array α) (v : α) : Option (Fin xs.size) :=
idxOfAux xs v 0
@[deprecated "`Array.indexOf?` has been deprecated, use `idxOf?` or `finIdxOf?` instead." (since := "2025-01-29")]
abbrev indexOf? := @finIdxOf?
/--
Returns the index of the first element equal to `a`, or the size of the array if no element is equal
@@ -1956,16 +1954,16 @@ def isPrefixOf [BEq α] (as bs : Array α) : Bool :=
false
@[semireducible, specialize] -- This is otherwise irreducible because it uses well-founded recursion.
def zipWithAux (as : Array α) (bs : Array β) (f : α β γ) (i : Nat) (cs : Array γ) : Array γ :=
def zipWithMAux {m : Type v Type w} [Monad m] (as : Array α) (bs : Array β) (f : α β m γ) (i : Nat) (cs : Array γ) : m (Array γ) := do
if h : i < as.size then
let a := as[i]
if h : i < bs.size then
let b := bs[i]
zipWithAux as bs f (i+1) <| cs.push <| f a b
zipWithMAux as bs f (i+1) <| cs.push ( f a b)
else
cs
return cs
else
cs
return cs
decreasing_by simp_wf; decreasing_trivial_pre_omega
/--
@@ -1979,7 +1977,7 @@ Examples:
* `#[x₁, x₂, x₃].zipWith f #[y₁, y₂, y₃, y₄] = #[f x₁ y₁, f x₂ y₂, f x₃ y₃]`
-/
@[inline] def zipWith (f : α β γ) (as : Array α) (bs : Array β) : Array γ :=
zipWithAux as bs f 0 #[]
Id.run (zipWithMAux as bs (pure <| f · ·) 0 #[])
/--
Combines two arrays into an array of pairs in which the first and second components are the
@@ -2016,6 +2014,13 @@ where go (as : Array α) (bs : Array β) (i : Nat) (cs : Array γ) :=
termination_by max as.size bs.size - i
decreasing_by simp_wf; decreasing_trivial_pre_omega
/--
Applies a monadic function to the corresponding elements of two arrays, left-to-right, stopping at
the end of the shorter array. `zipWithM f as bs` is equivalent to `mapM id (zipWith f as bs)`.
-/
@[inline] def zipWithM {m : Type v Type w} [Monad m] (f : α β m γ) (as : Array α) (bs : Array β) : m (Array γ) :=
zipWithMAux as bs f 0 #[]
/--
Separates an array of pairs into two arrays that contain the respective first and second components.

View File

@@ -34,8 +34,8 @@ the index is in bounds. This is because the tactic itself needs to look up value
arrays.
-/
@[deprecated "Use indexing notation `as[i]` instead" (since := "2025-02-17")]
def get {α : Type u} (a : @& Array α) (i : @& Nat) (h : LT.lt i a.size) : α :=
a.toList.get i, h
def get {α : Type u} (xs : @& Array α) (i : @& Nat) (h : LT.lt i xs.size) : α :=
xs.toList.get i, h
/--
Use the indexing notation `a[i]!` instead.
@@ -43,8 +43,8 @@ Use the indexing notation `a[i]!` instead.
Access an element from an array, or panic if the index is out of bounds.
-/
@[deprecated "Use indexing notation `as[i]!` instead" (since := "2025-02-17"), expose]
def get! {α : Type u} [Inhabited α] (a : @& Array α) (i : @& Nat) : α :=
Array.getD a i default
def get! {α : Type u} [Inhabited α] (xs : @& Array α) (i : @& Nat) : α :=
Array.getD xs i default
theorem foldlM_toList.aux [Monad m]
{f : β α m β} {xs : Array α} {i j} (H : xs.size i + j) {b} :
@@ -123,15 +123,9 @@ abbrev pop_toList := @Array.toList_pop
@[simp, grind =] theorem append_empty {xs : Array α} : xs ++ #[] = xs := by
apply ext'; simp only [toList_append, List.append_nil]
@[deprecated append_empty (since := "2025-01-13")]
abbrev append_nil := @append_empty
@[simp, grind =] theorem empty_append {xs : Array α} : #[] ++ xs = xs := by
apply ext'; simp only [toList_append, List.nil_append]
@[deprecated empty_append (since := "2025-01-13")]
abbrev nil_append := @empty_append
@[simp, grind _=_] theorem append_assoc {xs ys zs : Array α} : xs ++ ys ++ zs = xs ++ (ys ++ zs) := by
apply ext'; simp only [toList_append, List.append_assoc]
@@ -142,7 +136,6 @@ abbrev nil_append := @empty_append
rw [ appendList_eq_append]; unfold Array.appendList
induction l generalizing xs <;> simp [*]
@[deprecated toList_appendList (since := "2024-12-11")]
abbrev appendList_toList := @toList_appendList
end Array

View File

@@ -8,19 +8,20 @@ module
prelude
public import Init.Data.Nat.Lemmas
public import Init.Data.List.Range
public import all Init.Data.List.Control
public import Init.Data.List.Nat.TakeDrop
public import Init.Data.List.Nat.Modify
public import Init.Data.List.Nat.Basic
public import Init.Data.List.Monadic
public import Init.Data.List.OfFn
public import all Init.Data.Array.Bootstrap
public import Init.Data.Array.Mem
public import Init.Data.Array.DecidableEq
public import Init.Data.Array.Lex.Basic
public import Init.Data.Range.Lemmas
public import Init.TacticsExtra
public import Init.Data.List.ToArray
import all Init.Data.List.Control
import all Init.Data.Array.Basic
import all Init.Data.Array.Bootstrap
public section
@@ -311,7 +312,7 @@ theorem eq_push_pop_back!_of_size_ne_zero [Inhabited α] {xs : Array α} (h : xs
xs = xs.pop.push xs.back! := by
apply ext
· simp [Nat.sub_add_cancel (Nat.zero_lt_of_ne_zero h)]
· intros i h h'
· intro i h h'
if hlt : i < xs.pop.size then
rw [getElem_push_lt (h:=hlt), getElem_pop]
else
@@ -837,15 +838,10 @@ theorem mem_of_contains_eq_true [BEq α] [LawfulBEq α] {a : α} {as : Array α}
cases as
simp
@[deprecated mem_of_contains_eq_true (since := "2024-12-12")]
abbrev mem_of_elem_eq_true := @mem_of_contains_eq_true
theorem contains_eq_true_of_mem [BEq α] [LawfulBEq α] {a : α} {as : Array α} (h : a as) : as.contains a = true := by
theorem contains_eq_true_of_mem [BEq α] [ReflBEq α] {a : α} {as : Array α} (h : a as) :
as.contains a = true := by
cases as
simpa using h
@[deprecated contains_eq_true_of_mem (since := "2024-12-12")]
abbrev elem_eq_true_of_mem := @contains_eq_true_of_mem
simpa using List.elem_eq_true_of_mem (Array.mem_toList_iff.mpr h)
@[simp] theorem elem_eq_contains [BEq α] {a : α} {xs : Array α} :
elem a xs = xs.contains a := by
@@ -872,24 +868,24 @@ theorem elem_eq_mem [BEq α] [LawfulBEq α] {a : α} {xs : Array α} :
@[grind] theorem all_empty [BEq α] {p : α Bool} : (#[] : Array α).all p = true := by simp
/-- Variant of `any_push` with a side condition on `stop`. -/
@[simp, grind] theorem any_push' [BEq α] {xs : Array α} {a : α} {p : α Bool} (h : stop = xs.size + 1) :
@[simp, grind] theorem any_push' {xs : Array α} {a : α} {p : α Bool} (h : stop = xs.size + 1) :
(xs.push a).any p 0 stop = (xs.any p || p a) := by
cases xs
rw [List.push_toArray]
simp [h]
theorem any_push [BEq α] {xs : Array α} {a : α} {p : α Bool} :
theorem any_push {xs : Array α} {a : α} {p : α Bool} :
(xs.push a).any p = (xs.any p || p a) :=
any_push' (by simp)
/-- Variant of `all_push` with a side condition on `stop`. -/
@[simp, grind] theorem all_push' [BEq α] {xs : Array α} {a : α} {p : α Bool} (h : stop = xs.size + 1) :
@[simp, grind] theorem all_push' {xs : Array α} {a : α} {p : α Bool} (h : stop = xs.size + 1) :
(xs.push a).all p 0 stop = (xs.all p && p a) := by
cases xs
rw [List.push_toArray]
simp [h]
theorem all_push [BEq α] {xs : Array α} {a : α} {p : α Bool} :
theorem all_push {xs : Array α} {a : α} {p : α Bool} :
(xs.push a).all p = (xs.all p && p a) :=
all_push' (by simp)
@@ -904,15 +900,9 @@ theorem all_push [BEq α] {xs : Array α} {a : α} {p : α → Bool} :
cases xs
simp
@[deprecated getElem_set_self (since := "2024-12-11")]
abbrev getElem_set_eq := @getElem_set_self
@[simp] theorem getElem?_set_self {xs : Array α} {i : Nat} (h : i < xs.size) {v : α} :
(xs.set i v)[i]? = some v := by simp [h]
@[deprecated getElem?_set_self (since := "2024-12-11")]
abbrev getElem?_set_eq := @getElem?_set_self
@[simp] theorem getElem_set_ne {xs : Array α} {i : Nat} (h' : i < xs.size) {v : α} {j : Nat}
(pj : j < xs.size) (h : i j) :
(xs.set i v)[j]'(by simp [*]) = xs[j] := by
@@ -1003,9 +993,6 @@ grind_pattern mem_or_eq_of_mem_set => a ∈ xs.set i b
theorem setIfInBounds_def (xs : Array α) (i : Nat) (a : α) :
xs.setIfInBounds i a = if h : i < xs.size then xs.set i a else xs := rfl
@[deprecated set!_eq_setIfInBounds (since := "2024-12-12")]
abbrev set!_is_setIfInBounds := @set!_eq_setIfInBounds
@[simp, grind] theorem size_setIfInBounds {xs : Array α} {i : Nat} {a : α} :
(xs.setIfInBounds i a).size = xs.size := by
if h : i < xs.size then
@@ -1027,9 +1014,6 @@ abbrev set!_is_setIfInBounds := @set!_eq_setIfInBounds
simp at h
simp only [setIfInBounds, h, reduceDIte, getElem_set_self]
@[deprecated getElem_setIfInBounds_self (since := "2024-12-11")]
abbrev getElem_setIfInBounds_eq := @getElem_setIfInBounds_self
@[simp] theorem getElem_setIfInBounds_ne {xs : Array α} {i : Nat} {a : α} {j : Nat}
(hj : j < xs.size) (h : i j) :
(xs.setIfInBounds i a)[j]'(by simpa using hj) = xs[j] := by
@@ -1049,9 +1033,6 @@ theorem getElem?_setIfInBounds_self_of_lt {xs : Array α} {i : Nat} {a : α} (h
(xs.setIfInBounds i a)[i]? = some a := by
simp [h]
@[deprecated getElem?_setIfInBounds_self (since := "2024-12-11")]
abbrev getElem?_setIfInBounds_eq := @getElem?_setIfInBounds_self
@[simp] theorem getElem?_setIfInBounds_ne {xs : Array α} {i j : Nat} (h : i j) {a : α} :
(xs.setIfInBounds i a)[j]? = xs[j]? := by
simp [getElem?_setIfInBounds, h]
@@ -1377,23 +1358,6 @@ theorem mapM_eq_mapM_toList [Monad m] [LawfulMonad m] {f : α → m β} {xs : Ar
toList <$> xs.mapM f = xs.toList.mapM f := by
simp [mapM_eq_mapM_toList]
@[deprecated "Use `mapM_eq_foldlM` instead" (since := "2025-01-08")]
theorem mapM_map_eq_foldl {as : Array α} {f : α β} {i : Nat} :
mapM.map (m := Id) (pure <| f ·) as i b = pure (as.foldl (start := i) (fun acc a => acc.push (f a)) b) := by
unfold mapM.map
split <;> rename_i h
· ext : 1
dsimp [foldl, foldlM]
rw [mapM_map_eq_foldl, dif_pos (by omega), foldlM.loop, dif_pos h]
-- Calling `split` here gives a bad goal.
have : size as - i = Nat.succ (size as - i - 1) := by omega
rw [this]
simp [foldl, foldlM, Nat.sub_add_eq]
· dsimp [foldl, foldlM]
rw [dif_pos (by omega), foldlM.loop, dif_neg h]
rfl
termination_by as.size - i
/--
Use this as `induction ass using array₂_induction` on a hypothesis of the form `ass : Array (Array α)`.
The hypothesis `ass` will be replaced with a hypothesis `ass : List (List α)`,
@@ -1676,12 +1640,12 @@ theorem filterMap_eq_map' {f : α → β} (w : stop = as.size) :
filterMap (fun x => some (f x)) as 0 stop = map f as :=
filterMap_eq_map w
@[simp] theorem filterMap_some_fun : filterMap (some : α Option α) = id := by
theorem filterMap_some_fun : filterMap (some : α Option α) = id := by
funext xs
cases xs
simp
@[grind] theorem filterMap_some {xs : Array α} : filterMap some xs = xs := by
@[simp, grind] theorem filterMap_some {xs : Array α} : filterMap some xs = xs := by
cases xs
simp
@@ -2930,14 +2894,14 @@ theorem getElem_extract_loop_ge_aux {xs ys : Array α} {size start : Nat} (hge :
exact Nat.sub_lt_left_of_lt_add hge h
theorem getElem_extract_loop_ge {xs ys : Array α} {size start : Nat} (hge : i ys.size)
(h : i < (extract.loop xs size start ys).size)
(h' := getElem_extract_loop_ge_aux hge h) :
(extract.loop xs size start ys)[i] = xs[start + i - ys.size] := by
(h : i < (extract.loop xs size start ys).size) :
(extract.loop xs size start ys)[i] = xs[start + i - ys.size]'(getElem_extract_loop_ge_aux hge h) := by
induction size using Nat.recAux generalizing start ys with
| zero =>
rw [size_extract_loop, Nat.zero_min, Nat.add_zero] at h
omega
| succ size ih =>
have h' : start + i - ys.size < xs.size := getElem_extract_loop_ge_aux hge h
have : start < xs.size := by
apply Nat.lt_of_le_of_lt (Nat.le_add_right start (i - ys.size))
rwa [ Nat.add_sub_assoc hge]
@@ -2991,7 +2955,7 @@ theorem getElem?_extract {xs : Array α} {start stop : Nat} :
apply List.ext_getElem
· simp only [length_toList, size_extract, List.length_take, List.length_drop]
omega
· intros n h₁ h₂
· intro n h₁ h₂
simp
@[simp] theorem extract_size {xs : Array α} : xs.extract 0 xs.size = xs := by
@@ -2999,9 +2963,6 @@ theorem getElem?_extract {xs : Array α} {start stop : Nat} :
· rw [size_extract, Nat.min_self, Nat.sub_zero]
· intros; rw [getElem_extract]; congr; rw [Nat.zero_add]
@[deprecated extract_size (since := "2025-01-19")]
abbrev extract_all := @extract_size
theorem extract_empty_of_stop_le_start {xs : Array α} {start stop : Nat} (h : stop start) :
xs.extract start stop = #[] := by
simp only [extract, Nat.sub_eq, emptyWithCapacity_eq]
@@ -3036,14 +2997,14 @@ theorem take_size {xs : Array α} : xs.take xs.size = xs := by
/-! ### shrink -/
@[simp] theorem size_shrink_loop {xs : Array α} {n : Nat} : (shrink.loop n xs).size = xs.size - n := by
@[simp] private theorem size_shrink_loop {xs : Array α} {n : Nat} : (shrink.loop n xs).size = xs.size - n := by
induction n generalizing xs with
| zero => simp [shrink.loop]
| succ n ih =>
simp [shrink.loop, ih]
omega
@[simp] theorem getElem_shrink_loop {xs : Array α} {n i : Nat} (h : i < (shrink.loop n xs).size) :
@[simp] private theorem getElem_shrink_loop {xs : Array α} {n i : Nat} (h : i < (shrink.loop n xs).size) :
(shrink.loop n xs)[i] = xs[i]'(by simp at h; omega) := by
induction n generalizing xs i with
| zero => simp [shrink.loop]
@@ -3312,11 +3273,11 @@ theorem foldl_induction
let rec go {i j b} (h₁ : j as.size) (h₂ : as.size i + j) (H : motive j b) :
(motive as.size) (foldlM.loop (m := Id) f as as.size (Nat.le_refl _) i j b) := by
unfold foldlM.loop; split
· next hj =>
next hj =>
split
· cases Nat.not_le_of_gt (by simp [hj]) h₂
· exact go hj (by rwa [Nat.succ_add] at h₂) (hf j, hj b H)
· next hj => exact Nat.le_antisymm h₁ (Nat.ge_of_not_lt hj) H
next hj => exact Nat.le_antisymm h₁ (Nat.ge_of_not_lt hj) H
simpa [foldl, foldlM] using go (Nat.zero_le _) (Nat.le_refl _) h0
theorem foldr_induction
@@ -3326,13 +3287,13 @@ theorem foldr_induction
let rec go {i b} (hi : i as.size) (H : motive i b) :
(motive 0) (foldrM.fold (m := Id) f as 0 i hi b) := by
unfold foldrM.fold; simp; split
· next hi => exact (hi H)
· next hi =>
next hi => exact (hi H)
next hi =>
split; {simp at hi}
· next i hi' =>
next i hi' =>
exact go _ (hf i, hi' b H)
simp [foldr, foldrM]; split; {exact go _ h0}
· next h => exact (Nat.eq_zero_of_not_pos h h0)
next h => exact (Nat.eq_zero_of_not_pos h h0)
@[congr]
theorem foldl_congr {as bs : Array α} (h₀ : as = bs) {f g : β α β} (h₁ : f = g)
@@ -4319,7 +4280,7 @@ Examples:
/-! ### Preliminaries about `ofFn` -/
@[simp] theorem size_ofFn_go {n} {f : Fin n α} {i acc h} :
@[simp] private theorem size_ofFn_go {n} {f : Fin n α} {i acc h} :
(ofFn.go f acc i h).size = acc.size + i := by
induction i generalizing acc with
| zero => simp [ofFn.go]
@@ -4329,7 +4290,7 @@ Examples:
@[simp] theorem size_ofFn {n : Nat} {f : Fin n α} : (ofFn f).size = n := by simp [ofFn]
-- Recall `ofFn.go f acc i h = acc ++ #[f (n - i), ..., f(n - 1)]`
theorem getElem_ofFn_go {f : Fin n α} {acc i k} (h : i n) (w₁ : k < acc.size + i) :
private theorem getElem_ofFn_go {f : Fin n α} {acc i k} (h : i n) (w₁ : k < acc.size + i) :
(ofFn.go f acc i h)[k]'(by simpa using w₁) =
if w₂ : k < acc.size then acc[k] else f n - i + k - acc.size, by omega := by
induction i generalizing acc k with
@@ -4413,10 +4374,17 @@ theorem getElem?_range {n : Nat} {i : Nat} : (Array.range n)[i]? = if i < n then
-- Without further algebraic hypotheses, there's no useful `sum_push` lemma.
@[simp, grind =]
theorem sum_eq_sum_toList [Add α] [Zero α] {as : Array α} : as.toList.sum = as.sum := by
cases as
simp [Array.sum, List.sum]
@[simp, grind =]
theorem sum_append_nat {as₁ as₂ : Array Nat} : (as₁ ++ as₂).sum = as₁.sum + as₂.sum := by
cases as₁
cases as₂
simp [List.sum_append_nat]
theorem foldl_toList_eq_flatMap {l : List α} {acc : Array β}
{F : Array β α Array β} {G : α List β}
(H : acc a, (F acc a).toList = acc.toList ++ G a) :
@@ -4727,27 +4695,10 @@ end List
/-! ### Deprecations -/
namespace Array
@[deprecated size_toArray (since := "2024-12-11")]
theorem size_mk (as : List α) : (Array.mk as).size = as.length := by simp
@[deprecated getElem?_eq_getElem (since := "2024-12-11")]
theorem getElem?_lt
(xs : Array α) {i : Nat} (h : i < xs.size) : xs[i]? = some xs[i] := dif_pos h
@[deprecated getElem?_eq_none (since := "2024-12-11")]
theorem getElem?_ge
(xs : Array α) {i : Nat} (h : i xs.size) : xs[i]? = none := dif_neg (Nat.not_lt_of_le h)
set_option linter.deprecated false in
@[deprecated "`get?` is deprecated" (since := "2025-02-12"), simp]
theorem get?_eq_getElem? (xs : Array α) (i : Nat) : xs.get? i = xs[i]? := rfl
@[deprecated getElem?_eq_none (since := "2024-12-11")]
theorem getElem?_len_le (xs : Array α) {i : Nat} (h : xs.size i) : xs[i]? = none := by
simp [h]
@[deprecated getD_getElem? (since := "2024-12-11")] abbrev getD_get? := @getD_getElem?
@[deprecated getD_eq_getD_getElem? (since := "2025-02-12")] abbrev getD_eq_get? := @getD_eq_getD_getElem?
set_option linter.deprecated false in
@@ -4772,64 +4723,9 @@ theorem get?_eq_get?_toList (xs : Array α) (i : Nat) : xs.get? i = xs.toList.ge
set_option linter.deprecated false in
@[deprecated get!_eq_getD_getElem? (since := "2025-02-12")] abbrev get!_eq_get? := @get!_eq_getD_getElem?
@[deprecated getElem_set_self (since := "2025-01-17")]
theorem get_set_eq (xs : Array α) (i : Nat) (v : α) (h : i < xs.size) :
(xs.set i v h)[i]'(by simp [h]) = v := by
simp only [set, getElem_toList, List.getElem_set_self]
@[deprecated Array.getElem_toList (since := "2024-12-08")]
theorem getElem_eq_getElem_toList {xs : Array α} (h : i < xs.size) : xs[i] = xs.toList[i] := rfl
@[deprecated Array.getElem?_toList (since := "2024-12-08")]
theorem getElem?_eq_getElem?_toList (xs : Array α) (i : Nat) : xs[i]? = xs.toList[i]? := by
rw [getElem?_def]
split <;> simp_all
@[deprecated LawfulGetElem.getElem?_def (since := "2024-12-08")]
theorem getElem?_eq {xs : Array α} {i : Nat} :
xs[i]? = if h : i < xs.size then some xs[i] else none := by
rw [getElem?_def]
/-! ### map -/
@[deprecated "Use `toList_map` or `List.map_toArray` to characterize `Array.map`." (since := "2025-01-06")]
theorem map_induction (xs : Array α) (f : α β) (motive : Nat Prop) (h0 : motive 0)
(p : Fin xs.size β Prop) (hs : i, motive i.1 p i (f xs[i]) motive (i+1)) :
motive xs.size
eq : (xs.map f).size = xs.size, i h, p i, h ((xs.map f)[i]) := by
have t := foldl_induction (as := xs) (β := Array β)
(motive := fun i xs => motive i xs.size = i i h2, p i xs[i.1])
(init := #[]) (f := fun acc a => acc.push (f a)) ?_ ?_
obtain m, eq, w := t
· refine m, by simp, ?_
intro i h
simp only [eq] at w
specialize w i, h h
simpa using w
· exact h0, rfl, nofun
· intro i bs m, eq, w
refine ?_, ?_, ?_
· exact (hs _ m).2
· simp_all
· intro j h
simp at h
by_cases h' : j < size bs
· rw [getElem_push]
simp_all
· rw [getElem_push, dif_neg h']
simp only [show j = i by omega]
exact (hs _ m).1
set_option linter.deprecated false in
@[deprecated "Use `toList_map` or `List.map_toArray` to characterize `Array.map`." (since := "2025-01-06")]
theorem map_spec (xs : Array α) (f : α β) (p : Fin xs.size β Prop)
(hs : i, p i (f xs[i])) :
eq : (xs.map f).size = xs.size, i h, p i, h ((xs.map f)[i]) := by
simpa using map_induction xs f (fun _ => True) trivial p (by simp_all)
/-! ### set -/
@[deprecated getElem?_set_eq (since := "2025-02-27")] abbrev get?_set_eq := @getElem?_set_self
@[deprecated getElem?_set_self (since := "2025-02-27")] abbrev get?_set_eq := @getElem?_set_self
@[deprecated getElem?_set_ne (since := "2025-02-27")] abbrev get?_set_ne := @getElem?_set_ne
@[deprecated getElem?_set (since := "2025-02-27")] abbrev get?_set := @getElem?_set
@[deprecated get_set (since := "2025-02-27")] abbrev get_set := @getElem_set

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@@ -12,9 +12,12 @@ public import Init.Data.Array.Lemmas
public import Init.Data.List.Lex
import Init.Data.Range.Polymorphic.Lemmas
import Init.Data.Range.Polymorphic.NatLemmas
import Init.Data.Order.Lemmas
public section
open Std
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
set_option linter.indexVariables true -- Enforce naming conventions for index variables.
@@ -28,8 +31,8 @@ namespace Array
@[simp] theorem lt_toList [LT α] {xs ys : Array α} : xs.toList < ys.toList xs < ys := Iff.rfl
@[simp] theorem le_toList [LT α] {xs ys : Array α} : xs.toList ys.toList xs ys := Iff.rfl
grind_pattern _root_.List.lt_toArray => l₁.toArray < l₂.toArray
grind_pattern _root_.List.le_toArray => l₁.toArray l₂.toArray
grind_pattern _root_.List.lt_toArray => l₁.toArray < l₂.toArray
grind_pattern _root_.List.le_toArray => l₁.toArray l₂.toArray
grind_pattern lt_toList => xs.toList < ys.toList
grind_pattern le_toList => xs.toList ys.toList
@@ -100,6 +103,14 @@ theorem singleton_lex_singleton [BEq α] {lt : αα → Bool} : #[a].lex #[
xs.toList.lex ys.toList lt = xs.lex ys lt := by
cases xs <;> cases ys <;> simp
instance [LT α] [LE α] [LawfulOrderLT α] [IsLinearOrder α] : IsLinearOrder (Array α) := by
apply IsLinearOrder.of_le
· constructor
intro _ _ hab hba
simpa using Std.le_antisymm (α := List α) hab hba
· constructor; exact Std.le_trans (α := List α)
· constructor; exact fun _ _ => Std.le_total (α := List α)
protected theorem lt_irrefl [LT α] [Std.Irrefl (· < · : α α Prop)] (xs : Array α) : ¬ xs < xs :=
List.lt_irrefl xs.toList
@@ -131,27 +142,35 @@ instance [LT α] [Trans (· < · : αα → Prop) (· < ·) (· < ·)] :
Trans (· < · : Array α Array α Prop) (· < ·) (· < ·) where
trans h₁ h₂ := Array.lt_trans h₁ h₂
protected theorem lt_of_le_of_lt [LT α]
[i₀ : Std.Irrefl (· < · : α α Prop)]
protected theorem lt_of_le_of_lt [LE α] [LT α] [LawfulOrderLT α] [IsLinearOrder α]
{xs ys zs : Array α} (h₁ : xs ys) (h₂ : ys < zs) : xs < zs :=
Std.lt_of_le_of_lt (α := List α) h₁ h₂
@[deprecated Array.lt_of_le_of_lt (since := "2025-08-01")]
protected theorem lt_of_le_of_lt' [LT α]
[i₁ : Std.Asymm (· < · : α α Prop)]
[i₂ : Std.Antisymm (¬ · < · : α α Prop)]
[i₃ : Trans (¬ · < · : α α Prop) (¬ · < ·) (¬ · < ·)]
{xs ys zs : Array α} (h₁ : xs ys) (h₂ : ys < zs) : xs < zs :=
List.lt_of_le_of_lt h₁ h₂
letI := LE.ofLT α
haveI : IsLinearOrder α := IsLinearOrder.of_lt
Array.lt_of_le_of_lt h₁ h₂
protected theorem le_trans [LT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
[Trans (¬ · < · : α α Prop) (¬ · < ·) (¬ · < ·)]
protected theorem le_trans [LE α] [LT α] [LawfulOrderLT α] [IsLinearOrder α]
{xs ys zs : Array α} (h₁ : xs ys) (h₂ : ys zs) : xs zs :=
fun h₃ => h₁ (Array.lt_of_le_of_lt h₂ h₃)
instance [LT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
[Trans (¬ · < · : α α Prop) (¬ · < ·) (¬ · < ·)] :
@[deprecated Array.le_trans (since := "2025-08-01")]
protected theorem le_trans' [LT α]
[i₁ : Std.Asymm (· < · : α α Prop)]
[i₂ : Std.Antisymm (¬ · < · : α α Prop)]
[i₃ : Trans (¬ · < · : α α Prop) (¬ · < ·) (¬ · < ·)]
{xs ys zs : Array α} (h₁ : xs ys) (h₂ : ys zs) : xs zs :=
letI := LE.ofLT α
haveI : IsLinearOrder α := IsLinearOrder.of_lt
Array.le_trans h₁ h₂
instance [LE α] [LT α] [LawfulOrderLT α] [IsLinearOrder α] :
Trans (· · : Array α Array α Prop) (· ·) (· ·) where
trans h₁ h₂ := Array.le_trans h₁ h₂
@@ -165,7 +184,7 @@ instance [LT α]
asymm _ _ := Array.lt_asymm
protected theorem le_total [LT α]
[i : Std.Total (¬ · < · : α α Prop)] (xs ys : Array α) : xs ys ys xs :=
[i : Std.Asymm (· < · : α α Prop)] (xs ys : Array α) : xs ys ys xs :=
List.le_total xs.toList ys.toList
@[simp] protected theorem not_lt [LT α]
@@ -175,19 +194,22 @@ protected theorem le_total [LT α]
{xs ys : Array α} : ¬ ys xs xs < ys := Classical.not_not
protected theorem le_of_lt [LT α]
[i : Std.Total (¬ · < · : α α Prop)]
[i : Std.Asymm (· < · : α α Prop)]
{xs ys : Array α} (h : xs < ys) : xs ys :=
List.le_of_lt h
protected theorem le_iff_lt_or_eq [LT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
[Std.Total (¬ · < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
{xs ys : Array α} : xs ys xs < ys xs = ys := by
simpa using List.le_iff_lt_or_eq (l₁ := xs.toList) (l₂ := ys.toList)
instance [LT α]
[Std.Total (¬ · < · : α α Prop)] :
protected theorem le_antisymm [LT α] [LE α] [IsLinearOrder α] [LawfulOrderLT α]
{xs ys : Array α} : xs ys ys xs xs = ys := by
simpa using List.le_antisymm (as := xs.toList) (bs := ys.toList)
instance [LT α] [Std.Asymm (· < · : α α Prop)] :
Std.Total (· · : Array α Array α Prop) where
total := Array.le_total
@@ -266,7 +288,6 @@ protected theorem lt_iff_exists [LT α] {xs ys : Array α} :
simp [List.lt_iff_exists]
protected theorem le_iff_exists [LT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)] {xs ys : Array α} :
xs ys
@@ -286,7 +307,6 @@ theorem append_left_lt [LT α] {xs ys zs : Array α} (h : ys < zs) :
simpa using List.append_left_lt h
theorem append_left_le [LT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
{xs ys zs : Array α} (h : ys zs) :
@@ -310,10 +330,8 @@ protected theorem map_lt [LT α] [LT β]
simpa using List.map_lt w h
protected theorem map_le [LT α] [LT β]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
[Std.Irrefl (· < · : β β Prop)]
[Std.Asymm (· < · : β β Prop)]
[Std.Antisymm (¬ · < · : β β Prop)]
{xs ys : Array α} {f : α β} (w : x y, x < y f x < f y) (h : xs ys) :

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@@ -60,7 +60,7 @@ theorem mapFinIdx_spec {xs : Array α} {f : (i : Nat) → α → (h : i < xs.siz
@[simp, grind =] theorem size_zipIdx {xs : Array α} {k : Nat} : (xs.zipIdx k).size = xs.size :=
Array.size_mapFinIdx
@[deprecated size_zipIdx (since := "2025-01-21")] abbrev size_zipWithIndex := @size_zipIdx
@[simp, grind =] theorem getElem_mapFinIdx {xs : Array α} {f : (i : Nat) α (h : i < xs.size) β} {i : Nat}
(h : i < (xs.mapFinIdx f).size) :
@@ -132,23 +132,20 @@ namespace Array
(xs.zipIdx k)[i] = (xs[i]'(by simp_all), k + i) := by
simp [zipIdx]
@[deprecated getElem_zipIdx (since := "2025-01-21")]
abbrev getElem_zipWithIndex := @getElem_zipIdx
@[simp, grind =] theorem zipIdx_toArray {l : List α} {k : Nat} :
l.toArray.zipIdx k = (l.zipIdx k).toArray := by
ext i hi₁ hi₂ <;> simp
@[deprecated zipIdx_toArray (since := "2025-01-21")]
abbrev zipWithIndex_toArray := @zipIdx_toArray
@[simp, grind =] theorem toList_zipIdx {xs : Array α} {k : Nat} :
(xs.zipIdx k).toList = xs.toList.zipIdx k := by
rcases xs with xs
simp
@[deprecated toList_zipIdx (since := "2025-01-21")]
abbrev toList_zipWithIndex := @toList_zipIdx
theorem mk_mem_zipIdx_iff_le_and_getElem?_sub {k i : Nat} {x : α} {xs : Array α} :
(x, i) xs.zipIdx k k i xs[i - k]? = some x := by
@@ -173,11 +170,7 @@ theorem mem_zipIdx_iff_getElem? {x : α × Nat} {xs : Array α} :
x xs.zipIdx xs[x.2]? = some x.1 := by
rw [mk_mem_zipIdx_iff_getElem?]
@[deprecated mk_mem_zipIdx_iff_getElem? (since := "2025-01-21")]
abbrev mk_mem_zipWithIndex_iff_getElem? := @mk_mem_zipIdx_iff_getElem?
@[deprecated mem_zipIdx_iff_getElem? (since := "2025-01-21")]
abbrev mem_zipWithIndex_iff_getElem? := @mem_zipIdx_iff_getElem?
/-! ### mapFinIdx -/
@@ -222,8 +215,7 @@ theorem mapFinIdx_eq_zipIdx_map {xs : Array α} {f : (i : Nat) → α → (h : i
f i x (by simp [mk_mem_zipIdx_iff_getElem?, getElem?_eq_some_iff] at m; exact m.1) := by
ext <;> simp
@[deprecated mapFinIdx_eq_zipIdx_map (since := "2025-01-21")]
abbrev mapFinIdx_eq_zipWithIndex_map := @mapFinIdx_eq_zipIdx_map
@[simp]
theorem mapFinIdx_eq_empty_iff {xs : Array α} {f : (i : Nat) α (h : i < xs.size) β} :
@@ -332,8 +324,7 @@ theorem mapIdx_eq_zipIdx_map {xs : Array α} {f : Nat → α → β} :
xs.mapIdx f = xs.zipIdx.map fun a, i => f i a := by
ext <;> simp
@[deprecated mapIdx_eq_zipIdx_map (since := "2025-01-21")]
abbrev mapIdx_eq_zipWithIndex_map := @mapIdx_eq_zipIdx_map
@[grind =]
theorem mapIdx_append {xs ys : Array α} :

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@@ -18,11 +18,11 @@ set_option linter.indexVariables true -- Enforce naming conventions for index va
namespace Array
theorem sizeOf_lt_of_mem [SizeOf α] {as : Array α} (h : a as) : sizeOf a < sizeOf as := by
cases as with | _ as =>
cases as with | _ as
exact Nat.lt_trans (List.sizeOf_lt_of_mem h.val) (by simp +arith)
theorem sizeOf_get [SizeOf α] (as : Array α) (i : Nat) (h : i < as.size) : sizeOf as[i] < sizeOf as := by
cases as with | _ as =>
cases as with | _ as
simpa using Nat.lt_trans (List.sizeOf_get _ i, h) (by simp +arith)
@[simp] theorem sizeOf_getElem [SizeOf α] (as : Array α) (i : Nat) (h : i < as.size) :

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@@ -7,7 +7,7 @@ module
prelude
public import Init.Data.Vector.Basic
public import Init.Data.Ord
public import Init.Data.Ord.Basic
public section

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@@ -161,7 +161,8 @@ instance : Inhabited (Subarray α) :=
{}
/-!
`ForIn` and `foldlM` are implemented in `Init.Data.Slice.Array.Iterator` using the slice iterator.
`ForIn`, `foldlM`, `foldl` and other operations are implemented in `Init.Data.Slice.Array.Iterator`
using the slice iterator.
-/
/--
@@ -266,8 +267,8 @@ An accumulator of type `β` is constructed by starting with `init` and combining
subarray with the current accumulator value in turn, moving from the end to the start.
Examples:
* `#eval #["red", "green", "blue"].toSubarray.foldr (·.length + ·) 0 = 12`
* `#["red", "green", "blue"].toSubarray.popFront.foldlr (·.length + ·) 0 = 9`
* `#["red", "green", "blue"].toSubarray.foldr (·.length + ·) 0 = 12`
* `#["red", "green", "blue"].toSubarray.popFront.foldr (·.length + ·) 0 = 9`
-/
@[inline]
def foldr {α : Type u} {β : Type v} (f : α β β) (init : β) (as : Subarray α) : β :=

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@@ -118,7 +118,7 @@ theorem zipWith_foldl_eq_zip_foldl {f : α → β → γ} {i : δ} :
theorem zipWith_eq_empty_iff {f : α β γ} {as : Array α} {bs : Array β} : zipWith f as bs = #[] as = #[] bs = #[] := by
cases as <;> cases bs <;> simp
@[grind =]
@[simp, grind =]
theorem map_zipWith {δ : Type _} {f : α β} {g : γ δ α} {cs : Array γ} {ds : Array δ} :
map f (zipWith g cs ds) = zipWith (fun x y => f (g x y)) cs ds := by
cases cs
@@ -354,6 +354,15 @@ theorem map_zipWithAll {δ : Type _} {f : α → β} {g : Option γ → Option
@[deprecated zipWithAll_replicate (since := "2025-03-18")]
abbrev zipWithAll_mkArray := @zipWithAll_replicate
/-! ### zipWithM -/
@[simp, grind =]
theorem zipWithM_eq_mapM_id_zipWith {m : Type v Type w} [Monad m] [LawfulMonad m] {f : α β m γ} {as : Array α} {bs : Array β} :
zipWithM f as bs = mapM id (zipWith f as bs) := by
cases as
cases bs
simp [List.zipWithM_toArray, List.zipWithM'_eq_zipWithM]
/-! ### unzip -/
@[deprecated fst_unzip (since := "2025-05-26")]

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@@ -23,11 +23,14 @@ class PartialEquivBEq (α) [BEq α] : Prop where
/-- Transitivity for `BEq`. If `a == b` and `b == c` then `a == c`. -/
trans : (a : α) == b b == c a == c
instance [BEq α] [PartialEquivBEq α] : Std.Symm (α := α) (· == ·) where
symm _ _ h := PartialEquivBEq.symm h
/-- `EquivBEq` says that the `BEq` implementation is an equivalence relation. -/
class EquivBEq (α) [BEq α] : Prop extends PartialEquivBEq α, ReflBEq α
theorem BEq.symm [BEq α] [PartialEquivBEq α] {a b : α} : a == b b == a :=
PartialEquivBEq.symm
theorem BEq.symm [BEq α] [Std.Symm (α := α) (· == ·)] {a b : α} : a == b b == a :=
Std.Symm.symm a b (r := (· == ·))
theorem BEq.comm [BEq α] [PartialEquivBEq α] {a b : α} : (a == b) = (b == a) :=
Bool.eq_iff_iff.2 BEq.symm, BEq.symm

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@@ -12,7 +12,7 @@ public import Init.Data.Nat.Power2
public import Init.Data.Int.Bitwise
public import Init.Data.BitVec.BasicAux
public section
@[expose] public section
/-!
We define the basic algebraic structure of bitvectors. We choose the `Fin` representation over
@@ -552,7 +552,7 @@ Example:
@[expose]
protected def xor (x y : BitVec n) : BitVec n :=
(x.toNat ^^^ y.toNat)#'(Nat.xor_lt_two_pow x.isLt y.isLt)
instance : Xor (BitVec w) := .xor
instance : XorOp (BitVec w) := .xor
/--
Bitwise complement for bitvectors. Usually accessed via the `~~~` prefix operator.
@@ -736,10 +736,10 @@ def twoPow (w : Nat) (i : Nat) : BitVec w := 1#w <<< i
end bitwise
/-- The bitvector of width `w` that has the smallest value when interpreted as an integer. -/
def intMin (w : Nat) := twoPow w (w - 1)
@[expose] def intMin (w : Nat) := twoPow w (w - 1)
/-- The bitvector of width `w` that has the largest value when interpreted as an integer. -/
def intMax (w : Nat) := (twoPow w (w - 1)) - 1
@[expose] def intMax (w : Nat) := (twoPow w (w - 1)) - 1
/--
Computes a hash of a bitvector, combining 64-bit words using `mixHash`.

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@@ -15,7 +15,7 @@ public import Init.Data.BitVec.Decidable
public import Init.Data.BitVec.Lemmas
public import Init.Data.BitVec.Folds
public section
@[expose] public section
/-!
# Bit blasting of bitvectors
@@ -336,13 +336,13 @@ theorem add_eq_or_of_and_eq_zero {w : Nat} (x y : BitVec w)
(h : x &&& y = 0#w) : x + y = x ||| y := by
rw [add_eq_adc, adc, iunfoldr_replace (fun _ => false) (x ||| y)]
· rfl
· simp only [adcb, atLeastTwo, Bool.and_false, Bool.or_false, bne_false,
· simp only [adcb, atLeastTwo, Bool.and_false, Bool.or_false, bne_false,
Prod.mk.injEq, and_eq_false_imp]
intros i
intro i
replace h : (x &&& y).getLsbD i = (0#w).getLsbD i := by rw [h]
simp only [getLsbD_and, getLsbD_zero, and_eq_false_imp] at h
constructor
· intros hx
· intro hx
simp_all
· by_cases hx : x.getLsbD i <;> simp_all
@@ -586,7 +586,6 @@ A recurrence that describes multiplication as repeated addition.
This function is useful for bit blasting multiplication.
-/
@[expose]
def mulRec (x y : BitVec w) (s : Nat) : BitVec w :=
let cur := if y.getLsbD s then (x <<< s) else 0
match s with
@@ -622,7 +621,7 @@ theorem setWidth_setWidth_succ_eq_setWidth_setWidth_add_twoPow (x : BitVec w) (i
simp [hik', hik'']
omega
· ext k
simp only [and_twoPow,
simp only [and_twoPow,
]
by_cases hi : x.getLsbD i <;> simp [hi] <;> omega
@@ -1047,7 +1046,6 @@ theorem lawful_divSubtractShift (qr : DivModState w) (h : qr.Poised args) :
/-! ### Core division algorithm circuit -/
/-- A recursive definition of division for bit blasting, in terms of a shift-subtraction circuit. -/
@[expose]
def divRec {w : Nat} (m : Nat) (args : DivModArgs w) (qr : DivModState w) :
DivModState w :=
match m with
@@ -1668,7 +1666,7 @@ private theorem neg_udiv_eq_intMin_iff_eq_intMin_eq_one_of_msb_eq_true
{x y : BitVec w} (hx : x.msb = true) (hy : y.msb = false) :
-x / y = intMin w (x = intMin w y = 1#w) := by
constructor
· intros h
· intro h
rcases w with _ | w; decide +revert
have : (-x / y).msb = true := by simp [h, msb_intMin]
rw [msb_udiv] at this
@@ -1744,7 +1742,7 @@ theorem msb_sdiv_eq_decide {x y : BitVec w} :
Bool.and_self, ne_zero_of_msb_true, decide_false, Bool.and_true, Bool.true_and, Bool.not_true,
Bool.false_and, Bool.or_false, bool_to_prop]
have : x / -y intMin (w + 1) := by
intros h
intro h
have : (x / -y).msb = (intMin (w + 1)).msb := by simp only [h]
simp only [msb_udiv, msb_intMin, show 0 < w + 1 by omega, decide_true, and_eq_true, beq_iff_eq] at this
obtain hcontra, _ := this
@@ -1873,7 +1871,7 @@ theorem toInt_dvd_toInt_iff {x y : BitVec w} :
y.toInt x.toInt (if x.msb then -x else x) % (if y.msb then -y else y) = 0#w := by
constructor
<;> by_cases hxmsb : x.msb <;> by_cases hymsb: y.msb
<;> intros h
<;> intro h
<;> simp only [hxmsb, hymsb, reduceIte, false_eq_true, toNat_eq, toNat_umod, toNat_ofNat,
zero_mod, toInt_eq_neg_toNat_neg_of_msb_true, Int.dvd_neg, Int.neg_dvd,
toInt_eq_toNat_of_msb] at h
@@ -1944,7 +1942,7 @@ The remainder for `srem`, i.e. division with rounding to zero is negative
iff `x` is negative and `y` does not divide `x`.
We can eventually build fast circuits for the divisibility test `x.srem y = 0`.
-/
-/
theorem msb_srem {x y : BitVec w} : (x.srem y).msb =
(x.msb && decide (x.srem y 0)) := by
rw [msb_eq_toInt]
@@ -2143,7 +2141,7 @@ theorem add_shiftLeft_eq_or_shiftLeft {x y : BitVec w} :
ext i hi
simp only [shiftLeft_eq', getElem_and, getElem_shiftLeft, getElem_zero, and_eq_false_imp,
not_eq_eq_eq_not, Bool.not_true, decide_eq_false_iff_not, Nat.not_lt]
intros hxi hxval
intro hxi hxval
have : 2^i x.toNat := two_pow_le_toNat_of_getElem_eq_true hi hxi
have : i < 2^i := by exact Nat.lt_two_pow_self
omega

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@@ -19,9 +19,12 @@ public import Init.Data.Int.LemmasAux
public import Init.Data.Int.Pow
public import Init.Data.Int.LemmasAux
public import Init.Data.BitVec.Bootstrap
public import Init.Data.Order.Factories
public section
open Std
set_option linter.missingDocs true
namespace BitVec
@@ -238,11 +241,11 @@ theorem eq_of_getLsbD_eq_iff {w : Nat} {x y : BitVec w} :
x = y (i : Nat), i < w x.getLsbD i = y.getLsbD i := by
have iff := @BitVec.eq_of_getElem_eq_iff w x y
constructor
· intros heq i lt
· intro heq i lt
have hext := iff.mp heq i lt
simp only [ getLsbD_eq_getElem] at hext
exact hext
· intros heq
· intro heq
exact iff.mpr heq
theorem eq_of_getMsbD_eq {x y : BitVec w}
@@ -702,7 +705,7 @@ theorem eq_zero_or_eq_one (a : BitVec 1) : a = 0#1 a = 1#1 := by
have acases : a = 0 a = 1 := by omega
rcases acases with rfl | rfl
· simp
· case inr h =>
case inr h =>
subst h
simp
@@ -818,14 +821,14 @@ its most significant bit is true.
theorem slt_zero_iff_msb_cond {x : BitVec w} : x.slt 0#w x.msb = true := by
have := toInt_eq_msb_cond x
constructor
· intros h
· intro h
apply Classical.byContradiction
intros hmsb
intro hmsb
simp only [Bool.not_eq_true] at hmsb
simp only [hmsb, Bool.false_eq_true, reduceIte] at this
simp only [BitVec.slt, toInt_zero, decide_eq_true_eq] at h
omega /- Can't have `x.toInt` which is equal to `x.toNat` be strictly less than zero -/
· intros h
· intro h
simp only [h, reduceIte] at this
simp only [BitVec.slt, this, toInt_zero, decide_eq_true_eq]
omega
@@ -1393,7 +1396,7 @@ theorem or_eq_zero_iff {x y : BitVec w} : (x ||| y) = 0#w ↔ x = 0#w ∧ y = 0#
· intro h
constructor
all_goals
· ext i ih
ext i ih
have := BitVec.eq_of_getElem_eq_iff.mp h i ih
simp only [getElem_or, getElem_zero, Bool.or_eq_false_iff] at this
simp [this]
@@ -1493,7 +1496,7 @@ theorem and_eq_allOnes_iff {x y : BitVec w} :
· intro h
constructor
all_goals
· ext i ih
ext i ih
have := BitVec.eq_of_getElem_eq_iff.mp h i ih
simp only [getElem_and, getElem_allOnes, Bool.and_eq_true] at this
simp [this]
@@ -2094,7 +2097,7 @@ theorem toInt_ushiftRight_of_lt {x : BitVec w} {n : Nat} (hn : 0 < n) :
(x >>> n).toInt = x.toNat >>> n := by
rw [toInt_eq_toNat_cond]
simp only [toNat_ushiftRight, ite_eq_left_iff, Nat.not_lt]
intros h
intro h
by_cases hn : n w
· have h1 := Nat.mul_lt_mul_of_pos_left (toNat_ushiftRight_lt x n hn) Nat.two_pos
simp only [toNat_ushiftRight, Nat.zero_lt_succ, Nat.mul_lt_mul_left] at h1
@@ -2232,7 +2235,7 @@ theorem getLsbD_sshiftRight (x : BitVec w) (s i : Nat) :
omega
· simp only [hi, decide_false, Bool.not_false, Bool.true_and, Bool.eq_and_self,
decide_eq_true_eq]
intros hlsb
intro hlsb
apply BitVec.lt_of_getLsbD hlsb
· by_cases hi : i w
· simp [hi]
@@ -2286,7 +2289,7 @@ theorem msb_sshiftRight {n : Nat} {x : BitVec w} :
· simp [hw₀]
· simp only [show ¬(w w - 1) by omega, decide_false, Bool.not_false, Bool.true_and,
ite_eq_right_iff]
intros h
intro h
simp [show n = 0 by omega]
@[simp] theorem sshiftRight_zero {x : BitVec w} : x.sshiftRight 0 = x := by
@@ -2774,7 +2777,7 @@ theorem toInt_append {x : BitVec n} {y : BitVec m} :
(x ++ 0#m).toInt = (2 ^ m) * x.toInt := by
simp only [toInt_append, beq_iff_eq, toInt_zero, toNat_ofNat, Nat.zero_mod, Int.cast_ofNat_Int, Int.add_zero,
ite_eq_right_iff]
intros h
intro h
subst h
simp [BitVec.eq_nil x]
@@ -2958,7 +2961,7 @@ theorem extractLsb'_append_extractLsb'_eq_extractLsb' {x : BitVec w} (h : start
ext i h
simp only [getElem_append, getElem_extractLsb', dite_eq_ite, getElem_cast, ite_eq_left_iff,
Nat.not_lt]
intros hi
intro hi
congr 1
omega
@@ -2985,7 +2988,7 @@ theorem signExtend_eq_append_extractLsb' {w v : Nat} {x : BitVec w} :
· simp only [hx, signExtend_eq_setWidth_of_msb_false, getElem_setWidth, Bool.false_eq_true,
reduceIte, getElem_append, getElem_extractLsb', Nat.zero_add, getElem_zero, dite_eq_ite,
Bool.if_false_right, Bool.eq_and_self, decide_eq_true_eq]
intros hi
intro hi
have hw : i < w := lt_of_getLsbD hi
omega
· simp [signExtend_eq_not_setWidth_not_of_msb_true hx, getElem_append, Nat.lt_min, hi]
@@ -3006,7 +3009,7 @@ which performs a case analysis on the start index, length, and the lengths of `x
· If the start index is entirely contained in the `xlo` bitvector, then grab the bits from `xlo`.
· If the start index is split between the two bitvectors,
then append `(w - start)` bits from `xlo` with `(len - (w - start))` bits from xhi.
Diagramatically:
Diagrammatically:
```
xhi xlo
(<---------------------](<-------w--------]
@@ -3033,7 +3036,7 @@ theorem extractLsb'_append_eq_ite {v w} {xhi : BitVec v} {xlo : BitVec w} {start
· simp only [hlen, reduceDIte]
ext i hi
simp only [getElem_extractLsb', getLsbD_append, ite_eq_left_iff, Nat.not_lt]
intros hcontra
intro hcontra
omega
· simp only [hlen, reduceDIte]
ext i hi
@@ -3480,7 +3483,7 @@ theorem toInt_sub_toInt_lt_twoPow_iff {x y : BitVec w} :
have := two_mul_toInt_lt (x := y)
simp only [Nat.add_one_sub_one]
constructor
· intros h
· intro h
rw_mod_cast [ Int.add_bmod_right, Int.bmod_eq_of_le]
<;> omega
· have := Int.bmod_neg_iff (x := x.toInt - y.toInt) (m := 2 ^ (w + 1))
@@ -3496,7 +3499,7 @@ theorem twoPow_le_toInt_sub_toInt_iff {x y : BitVec w} :
have := le_two_mul_toInt (x := y); have := two_mul_toInt_lt (x := y)
simp only [Nat.add_one_sub_one]
constructor
· intros h
· intro h
simp only [show 0 x.toInt by omega, show y.toInt < 0 by omega, _root_.true_and]
rw_mod_cast [ Int.sub_bmod_right, Int.bmod_eq_of_le (by omega) (by omega)]
omega
@@ -4015,6 +4018,16 @@ protected theorem ne_of_lt {x y : BitVec n} : x < y → x ≠ y := by
simp only [lt_def, ne_eq, toNat_eq]
apply Nat.ne_of_lt
instance instIsLinearOrder : IsLinearOrder (BitVec n) := by
apply IsLinearOrder.of_le
case le_antisymm => constructor; apply BitVec.le_antisymm
case le_trans => constructor; apply BitVec.le_trans
case le_total => constructor; apply BitVec.le_total
instance instLawfulOrderLT : LawfulOrderLT (BitVec n) := by
apply LawfulOrderLT.of_le
simpa using fun _ _ => BitVec.lt_asymm
protected theorem umod_lt (x : BitVec n) {y : BitVec n} : 0 < y x % y < y := by
simp only [ofNat_eq_ofNat, lt_def, toNat_ofNat, Nat.zero_mod]
apply Nat.mod_lt
@@ -4419,8 +4432,8 @@ theorem neg_one_ediv_toInt_eq {w : Nat} {y : BitVec w} :
rcases w with _|_|w
· simp [of_length_zero]
· cases eq_zero_or_eq_one y
· case _ h => simp [h]
· case _ h => simp [h]
case _ h => simp [h]
case _ h => simp [h]
· by_cases 0 < y.toInt
· simp [Int.sign_eq_one_of_pos (a := y.toInt) (by omega), Int.neg_one_ediv]
omega
@@ -5138,7 +5151,7 @@ theorem setWidth_setWidth_succ_eq_setWidth_setWidth_of_getLsbD_false
/--
When the `(i+1)`th bit of `x` is true,
keeping the lower `(i + 1)` bits of `x` equalsk eeping the lower `i` bits
keeping the lower `(i + 1)` bits of `x` equals keeping the lower `i` bits
and then performing bitwise-or with `twoPow i = (1 << i)`,
-/
theorem setWidth_setWidth_succ_eq_setWidth_setWidth_or_twoPow_of_getLsbD_true
@@ -5766,16 +5779,16 @@ theorem clzAuxRec_eq_clzAuxRec_of_le (x : BitVec w) (h : w - 1 ≤ n) :
let k := n - (w - 1)
rw [show n = (w - 1) + k by omega]
induction k
· case zero => simp
· case succ k ihk =>
case zero => simp
case succ k ihk =>
simp [show w - 1 + (k + 1) = (w - 1 + k) + 1 by omega, clzAuxRec_succ, ihk,
show x.getLsbD (w - 1 + k + 1) = false by simp only [show w w - 1 + k + 1 by omega, getLsbD_of_ge]]
theorem clzAuxRec_eq_clzAuxRec_of_getLsbD_false {x : BitVec w} (h : i, n < i x.getLsbD i = false) :
x.clzAuxRec n = x.clzAuxRec (n + k) := by
induction k
· case zero => simp
· case succ k ihk =>
case zero => simp
case succ k ihk =>
simp only [show n + (k + 1) = (n + k) + 1 by omega, clzAuxRec_succ]
by_cases hxn : x.getLsbD (n + k + 1)
· have : ¬ (i : Nat), n < i x.getLsbD i = false := by
@@ -5842,13 +5855,8 @@ set_option linter.missingDocs false
@[deprecated toFin_uShiftRight (since := "2025-02-18")]
abbrev toFin_uShiftRight := @toFin_ushiftRight
@[deprecated signExtend_eq_setWidth_of_msb_false (since := "2024-12-08")]
abbrev signExtend_eq_not_setWidth_not_of_msb_false := @signExtend_eq_setWidth_of_msb_false
@[deprecated replicate_zero (since := "2025-01-08")]
abbrev replicate_zero_eq := @replicate_zero
@[deprecated replicate_succ (since := "2025-01-08")]
abbrev replicate_succ_eq := @replicate_succ
end BitVec

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@@ -696,3 +696,23 @@ but may be used locally.
@[simp] theorem Subtype.beq_iff {α : Type u} [BEq α] {p : α Prop} {x y : {a : α // p a}} :
(x == y) = (x.1 == y.1) := rfl
/-! ### Proof by reflection support -/
@[expose] protected noncomputable def Bool.and' (a b : Bool) : Bool :=
Bool.rec false b a
@[expose] protected noncomputable def Bool.or' (a b : Bool) : Bool :=
Bool.rec b true a
@[expose] protected noncomputable def Bool.not' (a : Bool) : Bool :=
Bool.rec true false a
@[simp] theorem Bool.and'_eq_and (a b : Bool) : a.and' b = a.and b := by
cases a <;> simp [Bool.and']
@[simp] theorem Bool.or'_eq_or (a b : Bool) : a.or' b = a.or b := by
cases a <;> simp [Bool.or']
@[simp] theorem Bool.not'_eq_not (a : Bool) : a.not' = a.not := by
cases a <;> simp [Bool.not']

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@@ -12,7 +12,7 @@ public import Init.Data.UInt.Basic
public import all Init.Data.UInt.BasicAux
public import Init.Data.Option.Basic
public section
@[expose] public section
universe u
structure ByteArray where

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@@ -8,5 +8,6 @@ module
prelude
public import Init.Data.Char.Basic
public import Init.Data.Char.Lemmas
public import Init.Data.Char.Order
public section

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@@ -8,7 +8,7 @@ module
prelude
public import Init.Data.UInt.BasicAux
public section
@[expose] public section
/-- Determines if the given integer is a valid [Unicode scalar value](https://www.unicode.org/glossary/#unicode_scalar_value).

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@@ -61,6 +61,7 @@ instance leTotal : Std.Total (· ≤ · : Char → Char → Prop) where
total := Char.le_total
-- This instance is useful while setting up instances for `String`.
@[deprecated ltAsymm (since := "2025-08-01")]
def notLTTotal : Std.Total (¬ · < · : Char Char Prop) where
total := fun x y => by simpa using Char.le_total y x

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@@ -0,0 +1,27 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Paul Reichert
-/
module
prelude
public import Init.Data.Char.Basic
import Init.Data.Char.Lemmas
public import Init.Data.Order.Factories
open Std
namespace Char
public instance instIsLinearOrder : IsLinearOrder Char := by
apply IsLinearOrder.of_le
case le_antisymm => constructor; apply Char.le_antisymm
case le_trans => constructor; apply Char.le_trans
case le_total => constructor; apply Char.le_total
public instance : LawfulOrderLT Char where
lt_iff a b := by
simp [ Char.not_le, Decidable.imp_iff_not_or, Std.Total.total]
end Char

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@@ -221,7 +221,7 @@ instance : AndOp (Fin n) where
and := Fin.land
instance : OrOp (Fin n) where
or := Fin.lor
instance : Xor (Fin n) where
instance : XorOp (Fin n) where
xor := Fin.xor
instance : ShiftLeft (Fin n) where
shiftLeft := Fin.shiftLeft

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@@ -107,14 +107,14 @@ Fin.foldrM n f xₙ = do
subst w
rfl
theorem foldlM_loop_lt [Monad m] (f : α Fin n m α) (x) (h : i < n) :
private theorem foldlM_loop_lt [Monad m] (f : α Fin n m α) (x) (h : i < n) :
foldlM.loop n f x i = f x i, h >>= (foldlM.loop n f . (i+1)) := by
rw [foldlM.loop, dif_pos h]
theorem foldlM_loop_eq [Monad m] (f : α Fin n m α) (x) : foldlM.loop n f x n = pure x := by
private theorem foldlM_loop_eq [Monad m] (f : α Fin n m α) (x) : foldlM.loop n f x n = pure x := by
rw [foldlM.loop, dif_neg (Nat.lt_irrefl _)]
theorem foldlM_loop [Monad m] (f : α Fin (n+1) m α) (x) (h : i < n+1) :
private theorem foldlM_loop [Monad m] (f : α Fin (n+1) m α) (x) (h : i < n+1) :
foldlM.loop (n+1) f x i = f x i, h >>= (foldlM.loop n (fun x j => f x j.succ) . i) := by
if h' : i < n then
rw [foldlM_loop_lt _ _ h]
@@ -170,15 +170,15 @@ theorem foldlM_add [Monad m] [LawfulMonad m] (f : α → Fin (n + k) → m α) :
subst w
rfl
theorem foldrM_loop_zero [Monad m] (f : Fin n α m α) (x) :
private theorem foldrM_loop_zero [Monad m] (f : Fin n α m α) (x) :
foldrM.loop n f 0, Nat.zero_le _ x = pure x := by
rw [foldrM.loop]
theorem foldrM_loop_succ [Monad m] (f : Fin n α m α) (x) (h : i < n) :
private theorem foldrM_loop_succ [Monad m] (f : Fin n α m α) (x) (h : i < n) :
foldrM.loop n f i+1, h x = f i, h x >>= foldrM.loop n f i, Nat.le_of_lt h := by
rw [foldrM.loop]
theorem foldrM_loop [Monad m] [LawfulMonad m] (f : Fin (n+1) α m α) (x) (h : i+1 n+1) :
private theorem foldrM_loop [Monad m] [LawfulMonad m] (f : Fin (n+1) α m α) (x) (h : i+1 n+1) :
foldrM.loop (n+1) f i+1, h x =
foldrM.loop n (fun j => f j.succ) i, Nat.le_of_succ_le_succ h x >>= f 0 := by
induction i generalizing x with
@@ -228,14 +228,14 @@ theorem foldrM_add [Monad m] [LawfulMonad m] (f : Fin (n + k) → α → m α) :
subst w
rfl
theorem foldl_loop_lt (f : α Fin n α) (x) (h : i < n) :
private theorem foldl_loop_lt (f : α Fin n α) (x) (h : i < n) :
foldl.loop n f x i = foldl.loop n f (f x i, h) (i+1) := by
rw [foldl.loop, dif_pos h]
theorem foldl_loop_eq (f : α Fin n α) (x) : foldl.loop n f x n = x := by
private theorem foldl_loop_eq (f : α Fin n α) (x) : foldl.loop n f x n = x := by
rw [foldl.loop, dif_neg (Nat.lt_irrefl _)]
theorem foldl_loop (f : α Fin (n+1) α) (x) (h : i < n+1) :
private theorem foldl_loop (f : α Fin (n+1) α) (x) (h : i < n+1) :
foldl.loop (n+1) f x i = foldl.loop n (fun x j => f x j.succ) (f x i, h) i := by
if h' : i < n then
rw [foldl_loop_lt _ _ h]
@@ -285,15 +285,15 @@ theorem foldlM_pure [Monad m] [LawfulMonad m] {n} {f : α → Fin n → α} :
subst w
rfl
theorem foldr_loop_zero (f : Fin n α α) (x) :
private theorem foldr_loop_zero (f : Fin n α α) (x) :
foldr.loop n f 0 (Nat.zero_le _) x = x := by
rw [foldr.loop]
theorem foldr_loop_succ (f : Fin n α α) (x) (h : i < n) :
private theorem foldr_loop_succ (f : Fin n α α) (x) (h : i < n) :
foldr.loop n f (i+1) h x = foldr.loop n f i (Nat.le_of_lt h) (f i, h x) := by
rw [foldr.loop]
theorem foldr_loop (f : Fin (n+1) α α) (x) (h : i+1 n+1) :
private theorem foldr_loop (f : Fin (n+1) α α) (x) (h : i+1 n+1) :
foldr.loop (n+1) f (i+1) h x =
f 0 (foldr.loop n (fun j => f j.succ) i (Nat.le_of_succ_le_succ h) x) := by
induction i generalizing x with

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@@ -12,9 +12,13 @@ public import Init.Ext
public import Init.ByCases
public import Init.Conv
public import Init.Omega
public import Init.Data.Order.Factories
import Init.Data.Order.Lemmas
public section
open Std
namespace Fin
@[simp] theorem ofNat_zero (n : Nat) [NeZero n] : Fin.ofNat n 0 = 0 := rfl
@@ -251,6 +255,16 @@ protected theorem le_antisymm_iff {x y : Fin n} : x = y ↔ x ≤ y ∧ y ≤ x
protected theorem le_antisymm {x y : Fin n} (h1 : x y) (h2 : y x) : x = y :=
Fin.le_antisymm_iff.2 h1, h2
instance instIsLinearOrder : IsLinearOrder (Fin n) := by
apply IsLinearOrder.of_le
case le_antisymm => constructor; apply Fin.le_antisymm
case le_total => constructor; apply Fin.le_total
case le_trans => constructor; apply Fin.le_trans
instance : LawfulOrderLT (Fin n) where
lt_iff := by
simp [ Fin.not_le, Decidable.imp_iff_not_or, Std.Total.total]
@[simp, grind =] theorem val_rev (i : Fin n) : rev i = n - (i + 1) := rfl
@[simp] theorem rev_rev (i : Fin n) : rev (rev i) = i := Fin.ext <| by
@@ -927,24 +941,34 @@ For the induction:
-/
@[elab_as_elim] def reverseInduction {motive : Fin (n + 1) Sort _} (last : motive (Fin.last n))
(cast : i : Fin n, motive i.succ motive (castSucc i)) (i : Fin (n + 1)) : motive i :=
if hi : i = Fin.last n then _root_.cast (congrArg motive hi.symm) last
else
let j : Fin n := i, Nat.lt_of_le_of_ne (Nat.le_of_lt_succ i.2) fun h => hi (Fin.ext h)
cast _ (reverseInduction last cast j.succ)
termination_by n + 1 - i
decreasing_by decreasing_with
-- FIXME: we put the proof down here to avoid getting a dummy `have` in the definition
try simp only [Nat.succ_sub_succ_eq_sub]
exact Nat.add_sub_add_right .. Nat.sub_lt_sub_left i.2 (Nat.lt_succ_self i)
let rec go (j : Nat) (h) (h2 : i j) (x : motive j, h) : motive i :=
if hi : i.1 = j then _root_.cast (by simp [ hi]) x
else match j with
| 0 => by omega
| j + 1 => go j (by omega) (by omega) (cast j, by omega x)
go _ _ (by omega) last
@[simp] theorem reverseInduction_last {n : Nat} {motive : Fin (n + 1) Sort _} {zero succ} :
(reverseInduction zero succ (Fin.last n) : motive (Fin.last n)) = zero := by
rw [reverseInduction]; simp
rw [reverseInduction, reverseInduction.go]; simp
private theorem reverseInduction_castSucc_aux {n : Nat} {motive : Fin (n + 1) Sort _} {succ}
(i : Fin n) (j : Nat) (h) (h2 : i.1 < j) (zero : motive j, h) :
reverseInduction.go (motive := motive) succ i.castSucc j h (Nat.le_of_lt h2) zero =
succ i (reverseInduction.go succ i.succ j h h2 zero) := by
induction j generalizing i with
| zero => omega
| succ j ih =>
rw [reverseInduction.go, dif_neg (by exact Nat.ne_of_lt h2)]
by_cases hij : i = j
· subst hij; simp [reverseInduction.go]
dsimp only
rw [ih _ _ (by omega), eq_comm, reverseInduction.go, dif_neg (by change i.1 + 1 _; omega)]
@[simp] theorem reverseInduction_castSucc {n : Nat} {motive : Fin (n + 1) Sort _} {zero succ}
(i : Fin n) : reverseInduction (motive := motive) zero succ (castSucc i) =
succ i (reverseInduction zero succ i.succ) := by
rw [reverseInduction, dif_neg (Fin.ne_of_lt (Fin.castSucc_lt_last i))]; rfl
rw [reverseInduction, reverseInduction_castSucc_aux _ _ _ i.isLt, reverseInduction]
/--
Proves a statement by cases on the underlying `Nat` value in a `Fin (n + 1)`, checking whether the

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@@ -314,7 +314,7 @@ Examples:
* `(0 : Int).natAbs = 0`
* `((-11 : Int).natAbs = 11`
-/
@[extern "lean_nat_abs"]
@[extern "lean_nat_abs", expose]
def natAbs (m : @& Int) : Nat :=
match m with
| ofNat m => m
@@ -404,6 +404,26 @@ instance : Min Int := minOfLe
instance : Max Int := maxOfLe
/-- Equality predicate for kernel reduction. -/
@[expose] protected noncomputable def beq' (a b : Int) : Bool :=
Int.rec
(fun a => Int.rec (fun b => Nat.beq a b) (fun _ => false) b)
(fun a => Int.rec (fun _ => false) (fun b => Nat.beq a b) b) a
/-- `x ≤ y` for kernel reduction. -/
@[expose] protected noncomputable def ble' (a b : Int) : Bool :=
Int.rec
(fun a => Int.rec (fun b => Nat.ble a b) (fun _ => false) b)
(fun a => Int.rec (fun _ => true) (fun b => Nat.ble b a) b)
a
/-- `x < y` for kernel reduction. -/
@[expose] protected noncomputable def blt' (a b : Int) : Bool :=
Int.rec
(fun a => Int.rec (fun b => Nat.blt a b) (fun _ => false) b)
(fun a => Int.rec (fun _ => true) (fun b => Nat.blt b a) b)
a
end Int
/--

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@@ -50,4 +50,21 @@ protected def shiftRight : Int → Nat → Int
instance : HShiftRight Int Nat Int := .shiftRight
/--
Bitwise left shift, usually accessed via the `<<<` operator.
Examples:
* `1 <<< 2 = 4`
* `1 <<< 3 = 8`
* `0 <<< 3 = 0`
* `0xf1 <<< 4 = 0xf10`
* `(-1) <<< 3 = -8`
-/
@[expose]
protected def shiftLeft : Int Nat Int
| Int.ofNat n, s => Int.ofNat (n <<< s)
| Int.negSucc n, s => Int.negSucc (((n + 1) <<< s) - 1)
instance : HShiftLeft Int Nat Int := .shiftLeft
end Int

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@@ -37,11 +37,11 @@ theorem shiftRight_eq_div_pow (m : Int) (n : Nat) :
· rw [negSucc_ediv _ (by norm_cast; exact Nat.pow_pos (Nat.zero_lt_two))]
rfl
@[simp]
@[simp, grind =]
theorem zero_shiftRight (n : Nat) : (0 : Int) >>> n = 0 := by
simp [Int.shiftRight_eq_div_pow]
@[simp]
@[simp, grind =]
theorem shiftRight_zero (n : Int) : n >>> 0 = n := by
simp [Int.shiftRight_eq_div_pow]
@@ -88,4 +88,32 @@ theorem shiftRight_le_of_nonpos {n : Int} {s : Nat} (h : n ≤ 0) : (n >>> s)
have rl : n / 2 ^ s 0 := Int.ediv_nonpos_of_nonpos_of_neg (by omega) (by norm_cast at *; omega)
norm_cast at *
@[simp, grind =]
theorem shiftLeft_zero (n : Int) : n <<< 0 = n := by
change Int.shiftLeft _ _ = _
match n with
| Int.ofNat n
| Int.negSucc n => simp [Int.shiftLeft]
theorem shiftLeft_succ (m : Int) (n : Nat) : m <<< (n + 1) = (m <<< n) * 2 := by
change Int.shiftLeft _ _ = Int.shiftLeft _ _ * 2
match m with
| (m : Nat) =>
dsimp [Int.shiftLeft]
rw [Nat.shiftLeft_succ, Nat.mul_comm, natCast_mul, ofNat_two]
| Int.negSucc m =>
dsimp [Int.shiftLeft]
rw [Nat.shiftLeft_succ, Nat.mul_comm, Int.negSucc_eq]
have := Nat.le_shiftLeft (a := m + 1) (b := n)
omega
theorem shiftLeft_eq (a : Int) (b : Nat) : a <<< b = a * 2 ^ b := by
induction b with
| zero => simp
| succ b ih =>
rw [shiftLeft_succ, ih, Int.pow_succ, Int.mul_assoc]
theorem shiftLeft_eq' (a : Int) (b : Nat) : a <<< b = a * (2 ^ b : Nat) := by
simp [shiftLeft_eq]
end Int

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@@ -6,7 +6,7 @@ Authors: Leonardo de Moura, Jeremy Avigad, Mario Carneiro, Paul Reichert
module
prelude
public import all Init.Data.Ord
public import all Init.Data.Ord.Basic
public import Init.Data.Int.Order
public section
@@ -27,7 +27,7 @@ theorem compare_eq_ite_lt (a b : Int) :
simp only [compare, compareOfLessAndEq]
split
· rfl
· next h =>
next h =>
match Int.lt_or_eq_of_le (Int.not_lt.1 h) with
| .inl h => simp [h, Int.ne_of_gt h]
| .inr rfl => simp
@@ -36,11 +36,11 @@ theorem compare_eq_ite_le (a b : Int) :
compare a b = if a b then if b a then .eq else .lt else .gt := by
rw [compare_eq_ite_lt]
split
· next hlt => simp [Int.le_of_lt hlt, Int.not_le.2 hlt]
· next hge =>
next hlt => simp [Int.le_of_lt hlt, Int.not_le.2 hlt]
next hge =>
split
· next hgt => simp [Int.not_le.2 hgt]
· next hle => simp [Int.not_lt.1 hge, Int.not_lt.1 hle]
next hgt => simp [Int.not_le.2 hgt]
next hle => simp [Int.not_lt.1 hge, Int.not_lt.1 hle]
protected theorem compare_swap (a b : Int) : (compare a b).swap = compare b a := by
simp only [compare_eq_ite_le]; (repeat' split) <;> try rfl

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@@ -956,6 +956,12 @@ theorem neg_mul_ediv_cancel_left (a b : Int) (h : a ≠ 0) : -(a * b) / a = -b :
@[simp] theorem emod_one (a : Int) : a % 1 = 0 := by
simp [emod_def, Int.one_mul, Int.sub_self]
theorem ediv_minus_one (a : Int) : a / (-1) = -a := by
simp
theorem emod_minus_one (a : Int) : a % (-1) = 0 := by
simp
@[deprecated sub_emod_right (since := "2025-04-11")]
theorem emod_sub_cancel (x y : Int) : (x - y) % y = x % y :=
sub_emod_right ..

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@@ -86,6 +86,17 @@ theorem negSucc_coe (n : Nat) : -[n+1] = -↑(n + 1) := rfl
@[simp, norm_cast] theorem cast_ofNat_Int :
(Nat.cast (no_index (OfNat.ofNat n)) : Int) = OfNat.ofNat n := rfl
@[simp] theorem beq'_eq (a b : Int) : Int.beq' a b = (a = b) := by
cases a <;> cases b <;> simp [Int.beq', ofNat_inj]
@[simp] theorem beq'_ne (a b : Int) : (Int.beq' a b = false) = (a b) := by
rw [Ne, beq'_eq, Bool.not_eq_true]
theorem beq'_eq_beq (a b : Int) : (Int.beq' a b) = (a == b) := by
have h : (Int.beq' a b = true) = (a == b) := by simp
have : {a b : Bool}, (a = true) = (b = true) a = b := by intro a b; cases a <;> cases b <;> simp
exact this h
/- ## neg -/
@[simp] protected theorem neg_neg : a : Int, -(-a) = a
@@ -350,10 +361,10 @@ theorem negSucc_coe' (n : Nat) : -[n+1] = -↑n - 1 := by
protected theorem subNatNat_eq_coe {m n : Nat} : subNatNat m n = m - n := by
apply subNatNat_elim m n fun m n i => i = m - n
· intros i n
· intro i n
rw [Int.natCast_add, Int.sub_eq_add_neg, Int.add_assoc, Int.add_left_comm,
Int.add_right_neg, Int.add_zero]
· intros i n
· intro i n
simp only [negSucc_eq, natCast_add, ofNat_one, Int.sub_eq_add_neg, Int.neg_add, Int.add_assoc]
rw [Int.add_neg_eq_sub (a := n), ofNat_sub, Nat.sub_self, ofNat_zero, Int.zero_add]
apply Nat.le_refl

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@@ -69,6 +69,18 @@ theorem natCast_succ_pos (n : Nat) : 0 < (n.succ : Int) := natCast_pos.2 n.succ_
@[simp, norm_cast] theorem cast_id {n : Int} : Int.cast n = n := rfl
@[simp] theorem ble'_eq_true (a b : Int) : (Int.ble' a b = true) = (a b) := by
cases a <;> cases b <;> simp [Int.ble'] <;> omega
@[simp] theorem blt'_eq_true (a b : Int) : (Int.blt' a b = true) = (a < b) := by
cases a <;> cases b <;> simp [Int.blt'] <;> omega
@[simp] theorem ble'_eq_false (a b : Int) : (Int.ble' a b = false) = ¬(a b) := by
simp [ Bool.not_eq_true]
@[simp] theorem blt'_eq_false (a b : Int) : (Int.blt' a b = false) = ¬ (a < b) := by
simp [ Bool.not_eq_true]
/-! ### toNat -/
@[simp] theorem toNat_sub' (a : Int) (b : Nat) : (a - b).toNat = a.toNat - b := by

File diff suppressed because it is too large Load Diff

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@@ -9,96 +9,100 @@ prelude
public import Init.Data.Int.Lemmas
public import Init.Data.Int.DivMod
public import Init.Data.Int.Linear
public import Init.GrindInstances.ToInt
public import Init.Data.RArray
public section
namespace Int.OfNat
/-!
Helper definitions and theorems for converting `Nat` expressions into `Int` one.
We use them to implement the arithmetic theories in `grind`
-/
namespace Nat.ToInt
abbrev Var := Nat
abbrev Context := Lean.RArray Nat
@[expose]
def Var.denote (ctx : Context) (v : Var) : Nat :=
ctx.get v
theorem ofNat_toNat (a : Int) : (NatCast.natCast a.toNat : Int) = if a 0 then 0 else a := by simp [Int.max_def]
inductive Expr where
| num (v : Nat)
| var (i : Var)
| add (a b : Expr)
| mul (a b : Expr)
| div (a b : Expr)
| mod (a b : Expr)
| pow (a : Expr) (k : Nat)
deriving BEq
theorem toNat_nonneg (x : Nat) : (-1:Int) * (NatCast.natCast x) 0 := by simp
@[expose]
def Expr.denote (ctx : Context) : Expr Nat
| .num k => k
| .var v => v.denote ctx
| .add a b => Nat.add (denote ctx a) (denote ctx b)
| .mul a b => Nat.mul (denote ctx a) (denote ctx b)
| .div a b => Nat.div (denote ctx a) (denote ctx b)
| .mod a b => Nat.mod (denote ctx a) (denote ctx b)
| .pow a k => Nat.pow (denote ctx a) k
theorem natCast_ofNat (n : Nat) : (NatCast.natCast (OfNat.ofNat n : Nat) : Int) = OfNat.ofNat n := by rfl
@[expose]
def Expr.denoteAsInt (ctx : Context) : Expr Int
| .num k => Int.ofNat k
| .var v => Int.ofNat (v.denote ctx)
| .add a b => Int.add (denoteAsInt ctx a) (denoteAsInt ctx b)
| .mul a b => Int.mul (denoteAsInt ctx a) (denoteAsInt ctx b)
| .div a b => Int.ediv (denoteAsInt ctx a) (denoteAsInt ctx b)
| .mod a b => Int.emod (denoteAsInt ctx a) (denoteAsInt ctx b)
| .pow a k => Int.pow (denoteAsInt ctx a) k
theorem of_eq {a b : Nat} {a' b' : Int}
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : a = b a' = b' := by
intro h; replace h := congrArg (NatCast.natCast (R := Int)) h
rw [h₁, h₂] at h; assumption
theorem Expr.denoteAsInt_eq (ctx : Context) (e : Expr) : e.denoteAsInt ctx = e.denote ctx := by
induction e <;> simp [denote, denoteAsInt, *] <;> rfl
theorem of_diseq {a b : Nat} {a' b' : Int}
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : a b a' b' := by
intro hne h; rw [ h₁, h₂] at h
replace h := Int.ofNat_inj.mp h; contradiction
theorem Expr.eq_denoteAsInt (ctx : Context) (e : Expr) : e.denote ctx = e.denoteAsInt ctx := by
apply Eq.symm; apply denoteAsInt_eq
theorem of_dvd (d a : Nat) (d' a' : Int)
(h₁ : NatCast.natCast d = d') (h₂ : NatCast.natCast a = a') : d a d' a' := by
simp [ h₁, h₂, Int.ofNat_dvd]
theorem Expr.eq (ctx : Context) (lhs rhs : Expr)
: (lhs.denote ctx = rhs.denote ctx) = (lhs.denoteAsInt ctx = rhs.denoteAsInt ctx) := by
simp [denoteAsInt_eq, Int.ofNat_inj]
theorem of_le {a b : Nat} {a' b' : Int}
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : a b a' b' := by
intro h; replace h := Int.ofNat_le |>.mpr h
rw [ h₁, h₂]; assumption
theorem Expr.le (ctx : Context) (lhs rhs : Expr)
: (lhs.denote ctx rhs.denote ctx) = (lhs.denoteAsInt ctx rhs.denoteAsInt ctx) := by
simp [denoteAsInt_eq, Int.ofNat_le]
theorem of_not_le {a b : Nat} {a' b' : Int}
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : ¬ (a b) b' + 1 a' := by
intro h; rw [ Int.ofNat_le] at h
rw [ h₁, h₂]; show (b + 1 : Int) a; omega
theorem of_le (ctx : Context) (lhs rhs : Expr)
: lhs.denote ctx rhs.denote ctx lhs.denoteAsInt ctx rhs.denoteAsInt ctx := by
rw [Expr.le ctx lhs rhs]; simp
theorem add_congr {a b : Nat} {a' b' : Int}
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : NatCast.natCast (a + b) = a' + b' := by
simp_all [Int.natCast_add]
theorem of_not_le (ctx : Context) (lhs rhs : Expr)
: ¬ lhs.denote ctx rhs.denote ctx ¬ lhs.denoteAsInt ctx rhs.denoteAsInt ctx := by
rw [Expr.le ctx lhs rhs]; simp
theorem mul_congr {a b : Nat} {a' b' : Int}
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : NatCast.natCast (a * b) = a' * b' := by
simp_all [Int.natCast_mul]
theorem of_dvd (ctx : Context) (d : Nat) (e : Expr)
: d e.denote ctx Int.ofNat d e.denoteAsInt ctx := by
simp [Expr.denoteAsInt_eq, Int.ofNat_dvd]
theorem of_eq (ctx : Context) (lhs rhs : Expr)
: lhs.denote ctx = rhs.denote ctx lhs.denoteAsInt ctx = rhs.denoteAsInt ctx := by
rw [Expr.eq ctx lhs rhs]; simp
theorem of_not_eq (ctx : Context) (lhs rhs : Expr)
: ¬ lhs.denote ctx = rhs.denote ctx ¬ lhs.denoteAsInt ctx = rhs.denoteAsInt ctx := by
rw [Expr.eq ctx lhs rhs]; simp
theorem ofNat_toNat (a : Int) : (NatCast.natCast a.toNat : Int) = if a 0 then 0 else a := by
theorem sub_congr {a b : Nat} {a' b' : Int}
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : NatCast.natCast (a - b) = if b' + (-1)*a' 0 then a' - b' else 0 := by
rw [Int.neg_mul, Int.sub_eq_add_neg, Int.one_mul]
split
next h =>
rw [Int.toNat_of_nonpos h]; rfl
have h := Int.le_of_sub_nonpos h
simp [ h₁, h₂, Int.ofNat_le] at h
simp [Int.ofNat_sub h]
rw [ h₁, h₂]
next h =>
simp at h
have := Int.toNat_of_nonneg (Int.le_of_lt h)
assumption
have : ¬ (b : Int) a := by
intro h
replace h := Int.sub_nonpos_of_le h
simp [h₁, h₂] at h
contradiction
rw [Int.ofNat_le] at this
simp [Lean.Omega.Int.ofNat_sub_eq_zero this]
theorem Expr.denoteAsInt_nonneg (ctx : Context) (e : Expr) : 0 e.denoteAsInt ctx := by
simp [Expr.denoteAsInt_eq]
theorem pow_congr {a : Nat} (k : Nat) (a' : Int)
(h₁ : NatCast.natCast a = a') : NatCast.natCast (a ^ k) = a' ^ k := by
simp_all [Int.natCast_pow]
end Int.OfNat
theorem div_congr {a b : Nat} {a' b' : Int}
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : NatCast.natCast (a / b) = a' / b' := by
simp_all [Int.natCast_ediv]
theorem mod_congr {a b : Nat} {a' b' : Int}
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : NatCast.natCast (a % b) = a' % b' := by
simp_all [Int.natCast_emod]
theorem finVal {n : Nat} {a : Fin n} {a' : Int}
(h₁ : Lean.Grind.ToInt.toInt a = a') : NatCast.natCast (a.val) = a' := by
rw [ h₁, Lean.Grind.ToInt.toInt, Lean.Grind.instToIntFinCoOfNatIntCast]
end Nat.ToInt
namespace Int.Nonneg
@[expose] def num_cert (a : Int) : Bool := a 0
theorem num (a : Int) : num_cert a a 0 := by simp [num_cert]
theorem add (a b : Int) (h₁ : a 0) (h₂ : b 0) : a + b 0 := by exact Int.add_nonneg h₁ h₂
theorem mul (a b : Int) (h₁ : a 0) (h₂ : b 0) : a * b 0 := by exact Int.mul_nonneg h₁ h₂
theorem div (a b : Int) (h₁ : a 0) (h₂ : b 0) : a / b 0 := by exact Int.ediv_nonneg h₁ h₂
theorem pow (a : Int) (k : Nat) (h₁ : a 0) : a ^ k 0 := by exact Int.pow_nonneg h₁
theorem mod (a b : Int) (h₁ : a 0) : a % b 0 := by
by_cases b = 0
next => simp [*]
next h => exact emod_nonneg a h
theorem natCast (a : Nat) : (NatCast.natCast a : Int) 0 := by simp
theorem toPoly (e : Int) : e 0 -1 * e 0 := by omega
end Int.Nonneg

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@@ -8,9 +8,13 @@ module
prelude
public import Init.Data.Int.Lemmas
public import Init.ByCases
public import Init.Data.Order.Factories
import Init.Data.Order.Lemmas
public section
open Std
/-!
# Results about the order properties of the integers, and the integers as an ordered ring.
-/
@@ -1117,11 +1121,11 @@ protected theorem add_le_zero_iff_le_neg {a b : Int} : a + b ≤ 0 ↔ a ≤ -b
protected theorem add_le_zero_iff_le_neg' {a b : Int} : a + b 0 b -a := by
rw [Int.add_comm, Int.add_le_zero_iff_le_neg]
protected theorem add_nonnneg_iff_neg_le {a b : Int} : 0 a + b -b a := by
protected theorem add_nonneg_iff_neg_le {a b : Int} : 0 a + b -b a := by
rw [Int.le_add_iff_sub_le, Int.zero_sub]
protected theorem add_nonnneg_iff_neg_le' {a b : Int} : 0 a + b -a b := by
rw [Int.add_comm, Int.add_nonnneg_iff_neg_le]
protected theorem add_nonneg_iff_neg_le' {a b : Int} : 0 a + b -a b := by
rw [Int.add_comm, Int.add_nonneg_iff_neg_le]
/- ### Order properties and multiplication -/
@@ -1415,4 +1419,14 @@ theorem natAbs_eq_iff_mul_eq_zero : natAbs a = n ↔ (a - n) * (a + n) = 0 := by
@[deprecated natAbs_eq_iff_mul_eq_zero (since := "2025-03-11")]
abbrev eq_natAbs_iff_mul_eq_zero := @natAbs_eq_iff_mul_eq_zero
instance instIsLinearOrder : IsLinearOrder Int := by
apply IsLinearOrder.of_le
case le_antisymm => constructor; apply Int.le_antisymm
case le_total => constructor; apply Int.le_total
case le_trans => constructor; apply Int.le_trans
instance : LawfulOrderLT Int where
lt_iff := by
simp [ Int.not_le, Decidable.imp_iff_not_or, Std.Total.total]
end Int

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@@ -21,6 +21,11 @@ protected theorem pow_succ (b : Int) (e : Nat) : b ^ (e+1) = (b ^ e) * b := rfl
protected theorem pow_succ' (b : Int) (e : Nat) : b ^ (e+1) = b * (b ^ e) := by
rw [Int.mul_comm, Int.pow_succ]
protected theorem pow_add (a : Int) (m n : Nat) : a ^ (m + n) = a ^ m * a ^ n := by
induction n with
| zero => rw [Nat.add_zero, Int.pow_zero, Int.mul_one]
| succ _ ih => rw [Nat.add_succ, Int.pow_succ, Int.pow_succ, ih, Int.mul_assoc]
protected theorem zero_pow {n : Nat} (h : n 0) : (0 : Int) ^ n = 0 := by
match n, h with
| n + 1, _ => simp [Int.pow_succ]

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@@ -10,7 +10,7 @@ public import Init.Data.Iterators.Consumers.Partial
public import Init.Data.Iterators.Consumers.Loop
public import Init.Data.Iterators.Consumers.Monadic.Access
public section
@[expose] public section
namespace Std.Iterators

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@@ -10,7 +10,7 @@ public import Init.Data.Iterators.Basic
public import Init.Data.Iterators.Consumers.Partial
public import Init.Data.Iterators.Consumers.Monadic.Collect
public section
@[expose] public section
/-!
# Collectors

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@@ -9,7 +9,7 @@ prelude
public import Init.Data.Iterators.Consumers.Monadic.Partial
public import Init.Data.Iterators.Internal.LawfulMonadLiftFunction
public section
@[expose] public section
/-!
# Collectors

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@@ -10,6 +10,7 @@ public import all Init.Data.Iterators.Combinators.Attach
public import all Init.Data.Iterators.Combinators.Monadic.Attach
public import Init.Data.Iterators.Lemmas.Combinators.Monadic.Attach
public import Init.Data.Iterators.Lemmas.Consumers.Collect
public import Init.Data.Array.Attach
public section
@@ -68,4 +69,16 @@ theorem Iter.unattach_toArray_attachWith [Iterator α Id β]
(it.attachWith P hP).toListRev.unattach = it.toListRev := by
simp [toListRev_eq]
@[simp]
theorem Iter.toArray_attachWith [Iterator α Id β]
{it : Iter (α := α) β} {hP}
[Finite α Id] [IteratorCollect α Id Id]
[LawfulIteratorCollect α Id Id] :
(it.attachWith P hP).toArray = it.toArray.attachWith P
(fun out h => hP out (isPlausibleIndirectOutput_of_mem_toArray h)) := by
suffices (it.attachWith P hP).toArray.toList = (it.toArray.attachWith P
(fun out h => hP out (isPlausibleIndirectOutput_of_mem_toArray h))).toList by
simpa only [Array.toList_inj]
simp [Iter.toList_toArray]
end Std.Iterators

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@@ -251,7 +251,7 @@ instance {α β γ : Type w} {m : Type w → Type w'} {n : Type w → Type w''}
simp only [LawfulIteratorCollect.toArrayMapped_eq]
simp only [IteratorCollect.toArrayMapped]
rw [LawfulIteratorCollect.toArrayMapped_eq]
induction it using IterM.inductSteps with | step it ih_yield ih_skip =>
induction it using IterM.inductSteps with | step it ih_yield ih_skip
rw [IterM.DefaultConsumers.toArrayMapped_eq_match_step]
rw [IterM.DefaultConsumers.toArrayMapped_eq_match_step]
simp only [bind_assoc]

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@@ -97,7 +97,7 @@ theorem Iter.getElem?_toList_eq_atIdxSlow? {α β}
[Iterator α Id β] [Finite α Id] [IteratorCollect α Id Id] [LawfulIteratorCollect α Id Id]
{it : Iter (α := α) β} {k : Nat} :
it.toList[k]? = it.atIdxSlow? k := by
induction it using Iter.inductSteps generalizing k with | step it ihy ihs =>
induction it using Iter.inductSteps generalizing k with | step it ihy ihs
rw [toList_eq_match_step, atIdxSlow?]
obtain step, h := it.step
cases step
@@ -117,7 +117,7 @@ theorem Iter.isPlausibleIndirectOutput_of_mem_toList
[Iterator α Id β] [Finite α Id] [IteratorCollect α Id Id] [LawfulIteratorCollect α Id Id]
{it : Iter (α := α) β} {b : β} :
b it.toList it.IsPlausibleIndirectOutput b := by
induction it using Iter.inductSteps with | step it ihy ihs =>
induction it using Iter.inductSteps with | step it ihy ihs
rw [toList_eq_match_step]
cases it.step using PlausibleIterStep.casesOn
case yield it' out h =>
@@ -144,4 +144,13 @@ theorem Iter.isPlausibleIndirectOutput_of_mem_toListRev
apply isPlausibleIndirectOutput_of_mem_toList
simpa [toListRev_eq] using h
theorem Iter.isPlausibleIndirectOutput_of_mem_toArray
[Iterator α Id β] [Finite α Id] [IteratorCollect α Id Id] [LawfulIteratorCollect α Id Id]
{it : Iter (α := α) β} {b : β} :
b it.toArray it.IsPlausibleIndirectOutput b := by
intro h
apply isPlausibleIndirectOutput_of_mem_toList
rw [ Array.mem_toList_iff] at h
simpa [toList_toArray] using h
end Std.Iterators

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@@ -143,7 +143,7 @@ theorem Iter.mem_toList_iff_isPlausibleIndirectOutput {α β} [Iterator α Id β
[LawfulIteratorCollect α Id Id] [LawfulDeterministicIterator α Id]
{it : Iter (α := α) β} {out : β} :
out it.toList it.IsPlausibleIndirectOutput out := by
induction it using Iter.inductSteps with | step it ihy ihs =>
induction it using Iter.inductSteps with | step it ihy ihs
rw [toList_eq_match_step]
constructor
· intro h
@@ -194,7 +194,7 @@ theorem Iter.forIn'_toList {α β : Type w} [Iterator α Id β]
{f : (out : β) _ γ m (ForInStep γ)} :
letI : ForIn' m (Iter (α := α) β) β _ := Iter.instForIn'
ForIn'.forIn' it.toList init f = ForIn'.forIn' it init (fun out h acc => f out (Iter.mem_toList_iff_isPlausibleIndirectOutput.mpr h) acc) := by
induction it using Iter.inductSteps generalizing init with case step it ihy ihs =>
induction it using Iter.inductSteps generalizing init with | step it ihy ihs
have := it.toList_eq_match_step
generalize hs : it.step = step at this
rw [forIn'_toList.aux this]
@@ -239,7 +239,7 @@ theorem Iter.forIn_toList {α β : Type w} [Iterator α Id β]
{f : β γ m (ForInStep γ)} :
ForIn.forIn it.toList init f = ForIn.forIn it init f := by
rw [List.forIn_eq_foldlM]
induction it using Iter.inductSteps generalizing init with case step it ihy ihs =>
induction it using Iter.inductSteps generalizing init with | step it ihy ihs
rw [forIn_eq_match_step, Iter.toList_eq_match_step]
simp only [map_eq_pure_bind]
generalize it.step = step

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@@ -21,8 +21,7 @@ theorem IterM.DefaultConsumers.toArrayMapped.go.aux₁ [Monad n] [LawfulMonad n]
[Finite α m] {b : γ} {bs : Array γ} :
IterM.DefaultConsumers.toArrayMapped.go lift f it (#[b] ++ bs) (m := m) =
(#[b] ++ ·) <$> IterM.DefaultConsumers.toArrayMapped.go lift f it bs (m := m) := by
induction it, bs using IterM.DefaultConsumers.toArrayMapped.go.induct
next it bs ih₁ ih₂ =>
induction it, bs using IterM.DefaultConsumers.toArrayMapped.go.induct with | _ it bs ih₁ ih₂
rw [go, map_eq_pure_bind, go, bind_assoc]
apply bind_congr
intro step
@@ -93,8 +92,7 @@ theorem IterM.toList_eq_match_step [Monad m] [LawfulMonad m] [Iterator α m β]
theorem IterM.toListRev.go.aux₁ [Monad m] [LawfulMonad m] [Iterator α m β] [Finite α m]
{it : IterM (α := α) m β} {b : β} {bs : List β} :
IterM.toListRev.go it (bs ++ [b]) = (· ++ [b]) <$> IterM.toListRev.go it bs:= by
induction it, bs using IterM.toListRev.go.induct
next it bs ih₁ ih₂ =>
induction it, bs using IterM.toListRev.go.induct with | _ it bs ih₁ ih₂
rw [go, go, map_eq_pure_bind, bind_assoc]
apply bind_congr
intro step

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@@ -208,7 +208,7 @@ theorem IterM.toList_eq_fold {α β : Type w} {m : Type w → Type w'} [Iterator
it.fold (init := l') (fun l out => l ++ [out]) by
specialize h []
simpa using h
induction it using IterM.inductSteps with | step it ihy ihs =>
induction it using IterM.inductSteps with | step it ihy ihs
intro l'
rw [IterM.toList_eq_match_step, IterM.fold_eq_match_step]
simp only [map_eq_pure_bind, bind_assoc]
@@ -253,7 +253,7 @@ theorem IterM.drain_eq_map_toList {α β : Type w} {m : Type w → Type w'} [Ite
[IteratorCollect α m m] [LawfulIteratorCollect α m m]
{it : IterM (α := α) m β} :
it.drain = (fun _ => .unit) <$> it.toList := by
induction it using IterM.inductSteps with | step it ihy ihs =>
induction it using IterM.inductSteps with | step it ihy ihs
rw [IterM.drain_eq_match_step, IterM.toList_eq_match_step]
simp only [map_eq_pure_bind, bind_assoc]
apply bind_congr

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@@ -7,7 +7,7 @@ module
prelude
public import Init.Control.Lawful.Basic
public import Init.Data.Subtype
public import Init.Data.Subtype.Basic
public import Init.PropLemmas
public section

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@@ -8,7 +8,7 @@ module
prelude
public import all Init.Data.List.Lemmas -- for dsimping with `getElem?_cons_succ`
public import Init.Data.List.Count
public import Init.Data.Subtype
public import Init.Data.Subtype.Basic
public import Init.BinderNameHint
public section
@@ -123,7 +123,7 @@ theorem attachWith_congr {l₁ l₂ : List α} (w : l₁ = l₂) {P : α → Pro
x, mem_cons_self :: xs.attach.map fun y, h => y, mem_cons_of_mem x h := by
simp only [attach, attachWith, pmap, map_pmap, cons.injEq, true_and]
apply pmap_congr_left
intros a _ m' _
intro a _ m' _
rfl
@[simp, grind =]

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@@ -242,8 +242,7 @@ instance instLT [LT α] : LT (List α) := ⟨List.lt⟩
instance decidableLT [DecidableEq α] [LT α] [DecidableLT α] (l₁ l₂ : List α) :
Decidable (l₁ < l₂) := decidableLex (· < ·) l₁ l₂
@[deprecated decidableLT (since := "2024-12-13"), inherit_doc decidableLT]
abbrev hasDecidableLt := @decidableLT
/--
Non-strict ordering of lists with respect to a strict ordering of their elements.
@@ -1369,7 +1368,7 @@ Each element of a list is related to all later elements of the list by `R`.
`Pairwise R l` means that all the elements of `l` with earlier indexes are `R`-related to all the
elements with later indexes.
For example, `Pairwise (· ≠ ·) l` asserts that `l` has no duplicates, and if `Pairwise (· < ·) l`
For example, `Pairwise (· ≠ ·) l` asserts that `l` has no duplicates, and `Pairwise (· < ·) l`
asserts that `l` is (strictly) sorted.
Examples:
@@ -1722,14 +1721,8 @@ Examples:
-/
def idxOf [BEq α] (a : α) : List α Nat := findIdx (· == a)
/-- Returns the index of the first element equal to `a`, or the length of the list otherwise. -/
@[deprecated idxOf (since := "2025-01-29")] abbrev indexOf := @idxOf
@[simp] theorem idxOf_nil [BEq α] : ([] : List α).idxOf x = 0 := rfl
@[deprecated idxOf_nil (since := "2025-01-29")]
theorem indexOf_nil [BEq α] : ([] : List α).idxOf x = 0 := rfl
/-! ### findIdx? -/
/--
@@ -1760,10 +1753,6 @@ Examples:
-/
@[inline] def idxOf? [BEq α] (a : α) : List α Option Nat := findIdx? (· == a)
/-- Return the index of the first occurrence of `a` in the list. -/
@[deprecated idxOf? (since := "2025-01-29")]
abbrev indexOf? := @idxOf?
/-! ### findFinIdx? -/
/--
@@ -2119,21 +2108,10 @@ def range' : (start len : Nat) → (step : Nat := 1) → List Nat
| _, 0, _ => []
| s, n+1, step => s :: range' (s+step) n step
/-! ### iota -/
/--
`O(n)`. `iota n` is the numbers from `1` to `n` inclusive, in decreasing order.
* `iota 5 = [5, 4, 3, 2, 1]`
-/
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20")]
def iota : Nat List Nat
| 0 => []
| m@(n+1) => m :: iota n
set_option linter.deprecated false in
@[simp] theorem iota_zero : iota 0 = [] := rfl
set_option linter.deprecated false in
@[simp] theorem iota_succ : iota (i+1) = (i+1) :: iota i := rfl
@[simp, grind =] theorem range'_zero : range' s 0 step = [] := rfl
@[simp, grind =] theorem range'_one {s step : Nat} : range' s 1 step = [s] := rfl
-- The following theorem is intentionally not a simp lemma.
theorem range'_succ : range' s (n + 1) step = s :: range' (s + step) n step := rfl
/-! ### zipIdx -/
@@ -2153,38 +2131,6 @@ def zipIdx : (l : List α) → (n : Nat := 0) → List (α × Nat)
@[simp] theorem zipIdx_nil : ([] : List α).zipIdx i = [] := rfl
@[simp] theorem zipIdx_cons : (a::as).zipIdx i = (a, i) :: as.zipIdx (i+1) := rfl
/-! ### enumFrom -/
/--
`O(|l|)`. `enumFrom n l` is like `enum` but it allows you to specify the initial index.
* `enumFrom 5 [a, b, c] = [(5, a), (6, b), (7, c)]`
-/
@[deprecated "Use `zipIdx` instead; note the signature change." (since := "2025-01-21")]
def enumFrom : Nat List α List (Nat × α)
| _, [] => nil
| n, x :: xs => (n, x) :: enumFrom (n + 1) xs
set_option linter.deprecated false in
@[deprecated zipIdx_nil (since := "2025-01-21"), simp]
theorem enumFrom_nil : ([] : List α).enumFrom i = [] := rfl
set_option linter.deprecated false in
@[deprecated zipIdx_cons (since := "2025-01-21"), simp]
theorem enumFrom_cons : (a::as).enumFrom i = (i, a) :: as.enumFrom (i+1) := rfl
/-! ### enum -/
set_option linter.deprecated false in
/--
`O(|l|)`. `enum l` pairs up each element with its index in the list.
* `enum [a, b, c] = [(0, a), (1, b), (2, c)]`
-/
@[deprecated "Use `zipIdx` instead; note the signature change." (since := "2025-01-21")]
def enum : List α List (Nat × α) := enumFrom 0
set_option linter.deprecated false in
@[deprecated zipIdx_nil (since := "2025-01-21"), simp]
theorem enum_nil : ([] : List α).enum = [] := rfl
/-! ## Minima and maxima -/
/-! ### min? -/
@@ -2604,25 +2550,6 @@ Examples:
exact go s n (m + 1)
exact (go s n 0).symm
/-! ### iota -/
/-- Tail-recursive version of `List.iota`. -/
@[deprecated "Use `List.range' 1 n` instead of `iota n`." (since := "2025-01-20")]
def iotaTR (n : Nat) : List Nat :=
let rec go : Nat List Nat List Nat
| 0, r => r.reverse
| m@(n+1), r => go n (m::r)
go n []
set_option linter.deprecated false in
@[csimp]
theorem iota_eq_iotaTR : @iota = @iotaTR :=
have aux (n : Nat) (r : List Nat) : iotaTR.go n r = r.reverse ++ iota n := by
induction n generalizing r with
| zero => simp [iota, iotaTR.go]
| succ n ih => simp [iota, iotaTR.go, ih, append_assoc]
funext fun n => by simp [iotaTR, aux]
/-! ## Other list operations -/
/-! ### intersperse -/

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@@ -104,6 +104,20 @@ def forA {m : Type u → Type v} [Applicative m] {α : Type w} (as : List α) (f
| [] => pure
| a :: as => f a *> forA as f
/--
Applies the monadic action `f` to the corresponding elements of two lists, left-to-right, stopping
at the end of the shorter list. `zipWithM f as bs` is equivalent to `mapM id (zipWith f as bs)`
for lawful `Monad` instances.
This implementation is tail recursive. `List.zipWithM'` is a a non-tail-recursive variant that may
be more convenient to reason about.
-/
@[inline, expose]
def zipWithM {m : Type u Type v} [Monad m] {α : Type w} {β : Type x} {γ : Type u} (f : α β m γ) (as : List α) (bs : List β) : m (List γ) :=
let rec @[specialize] loop
| a::as, b::bs, acc => do loop as bs (acc.push ( f a b))
| _, _, acc => pure acc.toList
loop as bs #[]
@[specialize]
def filterAuxM {m : Type Type v} [Monad m] {α : Type} (f : α m Bool) : List α List α m (List α)

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@@ -57,15 +57,9 @@ theorem eraseP_of_forall_not {l : List α} (h : ∀ a, a ∈ l → ¬p a) : l.er
rintro x h' rfl
simp_all
@[deprecated eraseP_eq_nil_iff (since := "2025-01-30")]
abbrev eraseP_eq_nil := @eraseP_eq_nil_iff
theorem eraseP_ne_nil_iff {xs : List α} {p : α Bool} : xs.eraseP p [] xs [] x, p x xs [x] := by
simp
@[deprecated eraseP_ne_nil_iff (since := "2025-01-30")]
abbrev eraseP_ne_nil := @eraseP_ne_nil_iff
theorem exists_of_eraseP : {l : List α} {a} (_ : a l) (_ : p a),
a l₁ l₂, ( b l₁, ¬p b) p a l = l₁ ++ a :: l₂ l.eraseP p = l₁ ++ l₂
| b :: l, _, al, pa =>
@@ -337,7 +331,7 @@ theorem erase_of_not_mem [LawfulBEq α] {a : α} : ∀ {l : List α}, a ∉ l
theorem erase_eq_eraseP' (a : α) (l : List α) : l.erase a = l.eraseP (· == a) := by
induction l
· simp
· next b t ih =>
next b t ih =>
rw [erase_cons, eraseP_cons, ih]
if h : b == a then simp [h] else simp [h]
@@ -352,17 +346,11 @@ theorem erase_eq_eraseP [LawfulBEq α] (a : α) : ∀ (l : List α), l.erase a =
rw [erase_eq_eraseP]
simp
@[deprecated erase_eq_nil_iff (since := "2025-01-30")]
abbrev erase_eq_nil := @erase_eq_nil_iff
theorem erase_ne_nil_iff [LawfulBEq α] {xs : List α} {a : α} :
xs.erase a [] xs [] xs [a] := by
rw [erase_eq_eraseP]
simp
@[deprecated erase_ne_nil_iff (since := "2025-01-30")]
abbrev erase_ne_nil := @erase_ne_nil_iff
theorem exists_erase_eq [LawfulBEq α] {a : α} {l : List α} (h : a l) :
l₁ l₂, a l₁ l = l₁ ++ a :: l₂ l.erase a = l₁ ++ l₂ := by
let _, l₁, l₂, h₁, e, h₂, h₃ := exists_of_eraseP h (beq_self_eq_true _)
@@ -439,7 +427,7 @@ theorem erase_append_left [LawfulBEq α] {l₁ : List α} (l₂) (h : a ∈ l₁
theorem erase_append_right [LawfulBEq α] {a : α} {l₁ : List α} (l₂ : List α) (h : a l₁) :
(l₁ ++ l₂).erase a = (l₁ ++ l₂.erase a) := by
rw [erase_eq_eraseP, erase_eq_eraseP, eraseP_append_right]
intros b h' h''; rw [eq_of_beq h''] at h; exact h h'
intro b h' h''; rw [eq_of_beq h''] at h; exact h h'
@[grind =]
theorem erase_append [LawfulBEq α] {a : α} {l₁ l₂ : List α} :
@@ -582,8 +570,7 @@ theorem eraseIdx_eq_take_drop_succ :
| a::l, 0
| a::l, i + 1 => simp
@[deprecated eraseIdx_eq_nil_iff (since := "2025-01-30")]
abbrev eraseIdx_eq_nil := @eraseIdx_eq_nil_iff
theorem eraseIdx_ne_nil_iff {l : List α} {i : Nat} : eraseIdx l i [] 2 l.length (l.length = 1 i 0) := by
match l with
@@ -591,8 +578,7 @@ theorem eraseIdx_ne_nil_iff {l : List α} {i : Nat} : eraseIdx l i ≠ [] ↔ 2
| [a]
| a::b::l => simp
@[deprecated eraseIdx_ne_nil_iff (since := "2025-01-30")]
abbrev eraseIdx_ne_nil := @eraseIdx_ne_nil_iff
@[grind]
theorem eraseIdx_sublist : (l : List α) (k : Nat), eraseIdx l k <+ l
@@ -700,7 +686,6 @@ theorem erase_eq_eraseIdx_of_idxOf [BEq α] [LawfulBEq α]
rw [eq_comm, eraseIdx_eq_self]
exact Nat.le_of_eq (idxOf_eq_length h).symm
@[deprecated erase_eq_eraseIdx_of_idxOf (since := "2025-01-29")]
abbrev erase_eq_eraseIdx_of_indexOf := @erase_eq_eraseIdx_of_idxOf
end List

View File

@@ -46,7 +46,7 @@ theorem finRange_succ_last {n} :
getElem_map, Fin.castSucc_mk, getElem_singleton]
split
· rfl
· next h => exact Fin.eq_last_of_not_lt h
next h => exact Fin.eq_last_of_not_lt h
@[grind _=_]
theorem finRange_reverse {n} : (finRange n).reverse = (finRange n).map Fin.rev := by

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@@ -1098,15 +1098,9 @@ theorem idxOf_cons [BEq α] :
dsimp [idxOf]
simp [findIdx_cons]
@[deprecated idxOf_cons (since := "2025-01-29")]
abbrev indexOf_cons := @idxOf_cons
@[simp] theorem idxOf_cons_self [BEq α] [ReflBEq α] {l : List α} : (a :: l).idxOf a = 0 := by
simp [idxOf_cons]
@[deprecated idxOf_cons_self (since := "2025-01-29")]
abbrev indexOf_cons_self := @idxOf_cons_self
@[grind =]
theorem idxOf_append [BEq α] [LawfulBEq α] {l₁ l₂ : List α} {a : α} :
(l₁ ++ l₂).idxOf a = if a l₁ then l₁.idxOf a else l₂.idxOf a + l₁.length := by
@@ -1117,8 +1111,7 @@ theorem idxOf_append [BEq α] [LawfulBEq α] {l₁ l₂ : List α} {a : α} :
· rw [if_neg]
simpa using h
@[deprecated idxOf_append (since := "2025-01-29")]
abbrev indexOf_append := @idxOf_append
theorem idxOf_eq_length [BEq α] [LawfulBEq α] {l : List α} (h : a l) : l.idxOf a = l.length := by
induction l with
@@ -1128,8 +1121,7 @@ theorem idxOf_eq_length [BEq α] [LawfulBEq α] {l : List α} (h : a ∉ l) : l.
simp only [idxOf_cons, cond_eq_if, beq_iff_eq]
split <;> simp_all
@[deprecated idxOf_eq_length (since := "2025-01-29")]
abbrev indexOf_eq_length := @idxOf_eq_length
theorem idxOf_lt_length_of_mem [BEq α] [EquivBEq α] {l : List α} (h : a l) : l.idxOf a < l.length := by
induction l with
@@ -1159,8 +1151,7 @@ theorem idxOf_lt_length_iff [BEq α] [LawfulBEq α] {l : List α} {a : α} :
grind_pattern idxOf_lt_length_iff => l.idxOf a, l.length
@[deprecated idxOf_lt_length_of_mem (since := "2025-01-29")]
abbrev indexOf_lt_length := @idxOf_lt_length_of_mem
/-! ### finIdxOf?
@@ -1231,8 +1222,7 @@ The lemmas below should be made consistent with those for `findIdx?` (and proved
· rintro w x h rfl
contradiction
@[deprecated idxOf?_eq_none_iff (since := "2025-01-29")]
abbrev indexOf?_eq_none_iff := @idxOf?_eq_none_iff
@[simp, grind =]
theorem isSome_idxOf? [BEq α] [LawfulBEq α] {l : List α} {a : α} :
@@ -1251,9 +1241,9 @@ theorem isNone_idxOf? [BEq α] [LawfulBEq α] {l : List α} {a : α} :
/-! ### lookup -/
section lookup
variable [BEq α] [LawfulBEq α]
variable [BEq α]
@[simp] theorem lookup_cons_self {k : α} : ((k,b) :: es).lookup k = some b := by
@[simp] theorem lookup_cons_self [ReflBEq α] {k : α} : ((k,b) :: es).lookup k = some b := by
simp [lookup_cons]
@[simp] theorem lookup_singleton {a b : α} : [(a,b)].lookup c = if c == a then some b else none := by
@@ -1272,13 +1262,13 @@ theorem lookup_eq_findSome? {l : List (α × β)} {k : α} :
@[simp, grind =] theorem lookup_eq_none_iff {l : List (α × β)} {k : α} :
l.lookup k = none p l, k != p.1 := by
simp [lookup_eq_findSome?]
simp [lookup_eq_findSome?, bne]
@[simp] theorem lookup_isSome_iff {l : List (α × β)} {k : α} :
(l.lookup k).isSome p l, k == p.1 := by
simp [lookup_eq_findSome?]
theorem lookup_eq_some_iff {l : List (α × β)} {k : α} {b : β} :
theorem lookup_eq_some_iff [LawfulBEq α] {l : List (α × β)} {k : α} {b : β} :
l.lookup k = some b l₁ l₂, l = l₁ ++ (k, b) :: l₂ p l₁, k != p.1 := by
simp only [lookup_eq_findSome?, findSome?_eq_some_iff]
constructor
@@ -1308,11 +1298,11 @@ theorem lookup_replicate_of_pos {k : α} (h : 0 < n) :
(replicate n (a, b)).lookup k = if k == a then some b else none := by
simp [lookup_replicate, Nat.ne_of_gt h]
theorem lookup_replicate_self {a : α} :
theorem lookup_replicate_self [ReflBEq α] {a : α} :
(replicate n (a, b)).lookup a = if n = 0 then none else some b := by
simp [lookup_replicate]
@[simp] theorem lookup_replicate_self_of_pos {a : α} (h : 0 < n) :
@[simp] theorem lookup_replicate_self_of_pos [ReflBEq α] {a : α} (h : 0 < n) :
(replicate n (a, b)).lookup a = some b := by
simp [lookup_replicate_self, Nat.ne_of_gt h]

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@@ -98,7 +98,7 @@ Example:
[10, 14, 14]
```
-/
@[inline] def filterMapTR (f : α Option β) (l : List α) : List β := go l #[] where
@[inline, expose] def filterMapTR (f : α Option β) (l : List α) : List β := go l #[] where
/-- Auxiliary for `filterMap`: `filterMap.go f l = acc.toList ++ filterMap f l` -/
@[specialize] go : List α Array β List β
| [], acc => acc.toList
@@ -367,7 +367,7 @@ def modifyTR (l : List α) (i : Nat) (f : αα) : List α := go l i #[] whe
| a :: l, 0, acc => acc.toListAppend (f a :: l)
| a :: l, i+1, acc => go l i (acc.push a)
theorem modifyTR_go_eq : l i, modifyTR.go f l i acc = acc.toList ++ modify l i f
private theorem modifyTR_go_eq : l i, modifyTR.go f l i acc = acc.toList ++ modify l i f
| [], i => by cases i <;> simp [modifyTR.go, modify]
| a :: l, 0 => by simp [modifyTR.go, modify]
| a :: l, i+1 => by simp [modifyTR.go, modify, modifyTR_go_eq l]
@@ -399,7 +399,7 @@ Examples:
| _, [], acc => acc.toList
| n+1, a :: l, acc => go n l (acc.push a)
theorem insertIdxTR_go_eq : i l, insertIdxTR.go a i l acc = acc.toList ++ insertIdx l i a
private theorem insertIdxTR_go_eq : i l, insertIdxTR.go a i l acc = acc.toList ++ insertIdx l i a
| 0, l | _+1, [] => by simp [insertIdxTR.go, insertIdx]
| n+1, a :: l => by simp [insertIdxTR.go, insertIdx, insertIdxTR_go_eq n l]
@@ -564,24 +564,7 @@ def zipIdxTR (l : List α) (n : Nat := 0) : List (α × Nat) :=
/-! ### enumFrom -/
/-- Tail recursive version of `List.enumFrom`. -/
@[deprecated zipIdxTR (since := "2025-01-21")]
def enumFromTR (n : Nat) (l : List α) : List (Nat × α) :=
let as := l.toArray
(as.foldr (fun a (n, acc) => (n-1, (n-1, a) :: acc)) (n + as.size, [])).2
set_option linter.deprecated false in
@[deprecated zipIdx_eq_zipIdxTR (since := "2025-01-21"), csimp]
theorem enumFrom_eq_enumFromTR : @enumFrom = @enumFromTR := by
funext α n l; simp only [enumFromTR]
let f := fun (a : α) (n, acc) => (n-1, (n-1, a) :: acc)
let rec go : l n, l.foldr f (n + l.length, []) = (n, enumFrom n l)
| [], n => rfl
| a::as, n => by
rw [ show _ + as.length = n + (a::as).length from Nat.succ_add .., foldr, go as]
simp [enumFrom, f]
rw [ Array.foldr_toList]
simp +zetaDelta [go]
/-! ## Other list operations -/

View File

@@ -70,7 +70,7 @@ See also
Further results, which first require developing further automation around `Nat`, appear in
* `Init.Data.List.Nat.Basic`: miscellaneous lemmas
* `Init.Data.List.Nat.Range`: `List.range` and `List.enum`
* `Init.Data.List.Nat.Range`: `List.range`, `List.range'` and `List.enum`
* `Init.Data.List.Nat.TakeDrop`: `List.take` and `List.drop`
Also
@@ -1084,6 +1084,12 @@ theorem getLast?_tail {l : List α} : (tail l).getLast? = if l.length = 1 then n
rw [if_neg]
rintro
@[simp, grind =]
theorem cons_head_tail (h : l []) : l.head h :: l.tail = l := by
induction l with
| nil => contradiction
| cons ih => simp_all
/-! ## Basic operations -/
/-! ### map -/
@@ -1429,12 +1435,12 @@ theorem filterMap_eq_map {f : α → β} : filterMap (some ∘ f) = map f := by
theorem filterMap_eq_map' {f : α β} : filterMap (fun x => some (f x)) = map f :=
filterMap_eq_map
@[simp] theorem filterMap_some_fun : filterMap (some : α Option α) = id := by
theorem filterMap_some_fun : filterMap (some : α Option α) = id := by
funext l
erw [filterMap_eq_map]
simp
@[grind] theorem filterMap_some {l : List α} : filterMap some l = l := by
@[simp, grind] theorem filterMap_some {l : List α} : filterMap some l = l := by
rw [filterMap_some_fun, id]
theorem map_filterMap_some_eq_filter_map_isSome {f : α Option β} {l : List α} :
@@ -1586,9 +1592,7 @@ theorem filterMap_eq_cons_iff {l} {b} {bs} :
theorem not_mem_append {a : α} {s t : List α} (h₁ : a s) (h₂ : a t) : a s ++ t :=
mt mem_append.1 $ not_or.mpr h₁, h₂
@[deprecated mem_append (since := "2025-01-13")]
theorem mem_append_eq {a : α} {s t : List α} : (a s ++ t) = (a s a t) :=
propext mem_append
/--
See also `eq_append_cons_of_mem`, which proves a stronger version
@@ -1698,7 +1702,7 @@ theorem getLast_concat {a : α} : ∀ {l : List α}, getLast (l ++ [a]) (by simp
@[simp] theorem append_eq_nil_iff : p ++ q = [] p = [] q = [] := by
cases p <;> simp
@[deprecated append_eq_nil_iff (since := "2025-01-13")] abbrev append_eq_nil := @append_eq_nil_iff
theorem nil_eq_append_iff : [] = a ++ b a = [] b = [] := by
simp
@@ -1849,6 +1853,14 @@ theorem append_eq_map_iff {f : α → β} :
L₁ ++ L₂ = map f l l₁ l₂, l = l₁ ++ l₂ map f l₁ = L₁ map f l₂ = L₂ := by
rw [eq_comm, map_eq_append_iff]
@[simp, grind =]
theorem sum_append_nat {l₁ l₂ : List Nat} : (l₁ ++ l₂).sum = l₁.sum + l₂.sum := by
induction l₁ generalizing l₂ <;> simp_all [Nat.add_assoc]
@[simp, grind =]
theorem sum_reverse_nat (xs : List Nat) : xs.reverse.sum = xs.sum := by
induction xs <;> simp_all [Nat.add_comm]
/-! ### concat
Note that `concat_eq_append` is a `@[simp]` lemma, so `concat` should usually not appear in goals.
@@ -2148,7 +2160,7 @@ theorem flatMap_eq_foldl {f : α → List β} {l : List α} :
intro l'
induction l generalizing l'
· simp
· next ih => rw [flatMap_cons, append_assoc, ih, foldl_cons]
next ih => rw [flatMap_cons, append_assoc, ih, foldl_cons]
/-! ### replicate -/
@@ -2264,8 +2276,7 @@ theorem map_const' {l : List α} {b : β} : map (fun _ => b) l = replicate l.len
simp only [mem_append, mem_replicate, ne_eq]
rintro (-, rfl | _, rfl) <;> rfl
@[deprecated replicate_append_replicate (since := "2025-01-16")]
abbrev append_replicate_replicate := @replicate_append_replicate
theorem append_eq_replicate_iff {l₁ l₂ : List α} {a : α} :
l₁ ++ l₂ = replicate n a
@@ -2653,8 +2664,6 @@ theorem foldl_map_hom {g : α → β} {f : ααα} {f' : β → β →
· simp
· simp [*]
@[deprecated foldl_map_hom (since := "2025-01-20")] abbrev foldl_map' := @foldl_map_hom
theorem foldr_map_hom {g : α β} {f : α α α} {f' : β β β} {a : α} {l : List α}
(h : x y, f' (g x) (g y) = g (f x y)) :
(l.map g).foldr f' (g a) = g (l.foldr f a) := by
@@ -2662,8 +2671,6 @@ theorem foldr_map_hom {g : α → β} {f : ααα} {f' : β → β →
· simp
· simp [*]
@[deprecated foldr_map_hom (since := "2025-01-20")] abbrev foldr_map' := @foldr_map_hom
@[simp] theorem foldrM_append [Monad m] [LawfulMonad m] {f : α β m β} {b : β} {l l' : List α} :
(l ++ l').foldrM f b = l'.foldrM f b >>= l.foldrM f := by
induction l <;> simp [*]
@@ -3731,12 +3738,6 @@ theorem mem_iff_get? {a} {l : List α} : a ∈ l ↔ ∃ n, l.get? n = some a :=
/-! ### Deprecations -/
@[deprecated _root_.isSome_getElem? (since := "2024-12-09")]
theorem isSome_getElem? {l : List α} {i : Nat} : l[i]?.isSome i < l.length := by
simp
@[deprecated _root_.isNone_getElem? (since := "2024-12-09")]
theorem isNone_getElem? {l : List α} {i : Nat} : l[i]?.isNone l.length i := by
simp
end List

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@@ -8,9 +8,13 @@ module
prelude
public import Init.Data.List.Lemmas
public import Init.Data.List.Nat.TakeDrop
public import Init.Data.Order.Factories
import Init.Data.Order.Lemmas
public section
open Std
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
set_option linter.indexVariables true -- Enforce naming conventions for index variables.
@@ -18,6 +22,11 @@ namespace List
/-! ### Lexicographic ordering -/
instance [LT α] [Std.Asymm (α := List α) (· < ·)] : LawfulOrderLT (List α) where
lt_iff := by
simp only [LE.le, List.le, Classical.not_not, iff_and_self]
apply Std.Asymm.asymm
@[simp] theorem lex_lt [LT α] {l₁ l₂ : List α} : Lex (· < ·) l₁ l₂ l₁ < l₂ := Iff.rfl
@[simp] theorem not_lex_lt [LT α] {l₁ l₂ : List α} : ¬ Lex (· < ·) l₁ l₂ l₂ l₁ := Iff.rfl
@@ -79,7 +88,6 @@ theorem not_cons_lex_cons_iff [DecidableEq α] [DecidableRel r] {a b} {l₁ l₂
rw [cons_lex_cons_iff, not_or, Decidable.not_and_iff_or_not, and_or_left]
theorem cons_le_cons_iff [LT α]
[i₀ : Std.Irrefl (· < · : α α Prop)]
[i₁ : Std.Asymm (· < · : α α Prop)]
[i₂ : Std.Antisymm (¬ · < · : α α Prop)]
{a b} {l₁ l₂ : List α} :
@@ -101,19 +109,22 @@ theorem cons_le_cons_iff [LT α]
exact i₂.antisymm _ _ h₃ h₁, h₂
· rintro (h | h₁, h₂)
· left
exact i₁.asymm _ _ h, fun w => i₀.irrefl _ (w h)
exact i₁.asymm _ _ h, fun w => Irrefl.irrefl _ (w h)
· right
exact fun w => i₀.irrefl _ (h₁ w), h₂
exact fun w => Irrefl.irrefl _ (h₁ w), h₂
theorem not_lt_of_cons_le_cons [LT α]
[i₀ : Std.Irrefl (· < · : α α Prop)]
[i₁ : Std.Asymm (· < · : α α Prop)]
[i₂ : Std.Antisymm (¬ · < · : α α Prop)]
{a b : α} {l₁ l₂ : List α} (h : a :: l₁ b :: l₂) : ¬ b < a := by
rw [cons_le_cons_iff] at h
rcases h with h | rfl, h
· exact i₁.asymm _ _ h
· exact i₀.irrefl _
· exact Irrefl.irrefl _
theorem left_le_left_of_cons_le_cons [LT α] [LE α] [IsLinearOrder α]
[LawfulOrderLT α] {a b : α} {l₁ l₂ : List α} (h : a :: l₁ b :: l₂) : a b := by
simpa [not_lt] using not_lt_of_cons_le_cons h
theorem le_of_cons_le_cons [LT α]
[i₀ : Std.Irrefl (· < · : α α Prop)]
@@ -163,14 +174,9 @@ instance [LT α] [Trans (· < · : αα → Prop) (· < ·) (· < ·)] :
Trans (· < · : List α List α Prop) (· < ·) (· < ·) where
trans h₁ h₂ := List.lt_trans h₁ h₂
@[deprecated List.le_antisymm (since := "2024-12-13")]
protected abbrev lt_antisymm := @List.le_antisymm
protected theorem lt_of_le_of_lt [LT α]
[i₀ : Std.Irrefl (· < · : α α Prop)]
[i₁ : Std.Asymm (· < · : α α Prop)]
[i₂ : Std.Antisymm (¬ · < · : α α Prop)]
[i₃ : Trans (¬ · < · : α α Prop) (¬ · < ·) (¬ · < ·)]
protected theorem lt_of_le_of_lt [LT α] [LE α] [IsLinearOrder α] [LawfulOrderLT α]
{l₁ l₂ l₃ : List α} (h₁ : l₁ l₂) (h₂ : l₂ < l₃) : l₁ < l₃ := by
induction h₂ generalizing l₁ with
| nil => simp_all
@@ -180,11 +186,8 @@ protected theorem lt_of_le_of_lt [LT α]
| nil => simp_all
| cons c l₁ =>
apply Lex.rel
replace h₁ := not_lt_of_cons_le_cons h₁
apply Classical.byContradiction
intro h₂
have := i₃.trans h₁ h₂
contradiction
replace h₁ := left_le_left_of_cons_le_cons h₁
exact lt_of_le_of_lt h₁ hab
| cons w₃ ih =>
rename_i a as bs
cases l₁ with
@@ -194,21 +197,34 @@ protected theorem lt_of_le_of_lt [LT α]
by_cases w₅ : a = c
· subst w₅
exact Lex.cons (ih (le_of_cons_le_cons h₁))
· exact Lex.rel (Classical.byContradiction fun w₆ => w₅ (i₂.antisymm _ _ w₄ w₆))
· simp only [not_lt] at w₄
exact Lex.rel (lt_of_le_of_ne w₄ (w₅.imp Eq.symm))
protected theorem le_trans [LT α]
[Std.Irrefl (· < · : α α Prop)]
@[deprecated List.lt_of_le_of_lt (since := "2025-08-01")]
protected theorem lt_of_le_of_lt' [LT α]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
[Trans (¬ · < · : α α Prop) (¬ · < ·) (¬ · < ·)]
{l₁ l₂ l₃ : List α} (h₁ : l₁ l₂) (h₂ : l₂ < l₃) : l₁ < l₃ :=
letI : LE α := .ofLT α
haveI : IsLinearOrder α := IsLinearOrder.of_lt
List.lt_of_le_of_lt h₁ h₂
protected theorem le_trans [LT α] [LE α] [IsLinearOrder α] [LawfulOrderLT α]
{l₁ l₂ l₃ : List α} (h₁ : l₁ l₂) (h₂ : l₂ l₃) : l₁ l₃ :=
fun h₃ => h₁ (List.lt_of_le_of_lt h₂ h₃)
@[deprecated List.le_trans (since := "2025-08-01")]
protected theorem le_trans' [LT α]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
[Trans (¬ · < · : α α Prop) (¬ · < ·) (¬ · < ·)]
{l₁ l₂ l₃ : List α} (h₁ : l₁ l₂) (h₂ : l₂ l₃) : l₁ l₃ :=
fun h₃ => h₁ (List.lt_of_le_of_lt h₂ h₃)
letI := LE.ofLT α
haveI : IsLinearOrder α := IsLinearOrder.of_lt
List.le_trans h₁ h₂
instance [LT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
[Trans (¬ · < · : α α Prop) (¬ · < ·) (¬ · < ·)] :
instance [LT α] [LE α] [IsLinearOrder α] [LawfulOrderLT α] :
Trans (· · : List α List α Prop) (· ·) (· ·) where
trans h₁ h₂ := List.le_trans h₁ h₂
@@ -248,14 +264,21 @@ theorem not_lex_total {r : αα → Prop}
obtain (_ | _) := not_lex_total h l₁ l₂ <;> contradiction
protected theorem le_total [LT α]
[i : Std.Total (¬ · < · : α α Prop)] (l₁ l₂ : List α) : l₁ l₂ l₂ l₁ :=
not_lex_total i.total l₂ l₁
[i : Std.Asymm (· < · : α α Prop)] (l₁ l₂ : List α) : l₁ l₂ l₂ l₁ :=
not_lex_total i.total_not.total l₂ l₁
instance [LT α]
[Std.Total (¬ · < · : α α Prop)] :
protected theorem le_total_of_asymm [LT α]
[i : Std.Asymm (· < · : α α Prop)] (l₁ l₂ : List α) : l₁ l₂ l₂ l₁ :=
List.le_total l₁ l₂
instance [LT α] [Std.Asymm (· < · : α α Prop)] :
Std.Total (· · : List α List α Prop) where
total := List.le_total
@[no_expose]
instance instIsLinearOrder [LT α] [LE α] [IsLinearOrder α] [LawfulOrderLT α] :
IsLinearOrder (List α) := IsLinearOrder.of_le
@[simp] protected theorem not_lt [LT α]
{l₁ l₂ : List α} : ¬ l₁ < l₂ l₂ l₁ := Iff.rfl
@@ -263,7 +286,7 @@ instance [LT α]
{l₁ l₂ : List α} : ¬ l₂ l₁ l₁ < l₂ := Classical.not_not
protected theorem le_of_lt [LT α]
[i : Std.Total (¬ · < · : α α Prop)]
[i : Std.Asymm (· < · : α α Prop)]
{l₁ l₂ : List α} (h : l₁ < l₂) : l₁ l₂ := by
obtain (h' | h') := List.le_total l₁ l₂
· exact h'
@@ -273,7 +296,7 @@ protected theorem le_of_lt [LT α]
protected theorem le_iff_lt_or_eq [LT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
[Std.Total (¬ · < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
{l₁ l₂ : List α} : l₁ l₂ l₁ < l₂ l₁ = l₂ := by
constructor
· intro h
@@ -457,7 +480,6 @@ protected theorem lt_iff_exists [LT α] {l₁ l₂ : List α} :
simp
protected theorem le_iff_exists [LT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)] {l₁ l₂ : List α} :
l₁ l₂
@@ -481,7 +503,6 @@ theorem append_left_lt [LT α] {l₁ l₂ l₃ : List α} (h : l₂ < l₃) :
| cons a l₁ ih => simp [cons_lt_cons_iff, ih]
theorem append_left_le [LT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
{l₁ l₂ l₃ : List α} (h : l₂ l₃) :
@@ -515,10 +536,8 @@ protected theorem map_lt [LT α] [LT β]
simp [cons_lt_cons_iff, w, h]
protected theorem map_le [LT α] [LT β]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
[Std.Irrefl (· < · : β β Prop)]
[Std.Asymm (· < · : β β Prop)]
[Std.Antisymm (¬ · < · : β β Prop)]
{l₁ l₂ : List α} {f : α β} (w : x y, x < y f x < f y) (h : l₁ l₂) :

View File

@@ -61,7 +61,7 @@ proof that the index is valid.
`List.mapIdxM` is a variant that does not provide the function with evidence that the index is
valid.
-/
@[inline] def mapFinIdxM [Monad m] (as : List α) (f : (i : Nat) α (h : i < as.length) m β) : m (List β) :=
@[inline, expose] def mapFinIdxM [Monad m] (as : List α) (f : (i : Nat) α (h : i < as.length) m β) : m (List β) :=
go as #[] (by simp)
where
/-- Auxiliary for `mapFinIdxM`:
@@ -78,7 +78,7 @@ found, returning the list of results.
`List.mapFinIdxM` is a variant that additionally provides the function with a proof that the index
is valid.
-/
@[inline] def mapIdxM [Monad m] (f : Nat α m β) (as : List α) : m (List β) := go as #[] where
@[inline, expose] def mapIdxM [Monad m] (f : Nat α m β) (as : List α) : m (List β) := go as #[] where
/-- Auxiliary for `mapIdxM`:
`mapIdxM.go [a₀, a₁, ...] acc = acc.toList ++ [f acc.size a₀, f (acc.size + 1) a₁, ...]` -/
@[specialize] go : List α Array β m (List β)
@@ -182,8 +182,7 @@ theorem mapFinIdx_eq_zipIdx_map {l : List α} {f : (i : Nat) → α → (h : i <
f i x (by rw [mk_mem_zipIdx_iff_getElem?, getElem?_eq_some_iff] at m; exact m.1) := by
apply ext_getElem <;> simp
@[deprecated mapFinIdx_eq_zipIdx_map (since := "2025-01-21")]
abbrev mapFinIdx_eq_zipWithIndex_map := @mapFinIdx_eq_zipIdx_map
@[simp]
theorem mapFinIdx_eq_nil_iff {l : List α} {f : (i : Nat) α (h : i < l.length) β} :
@@ -220,7 +219,7 @@ theorem mapFinIdx_eq_cons_iff {l : List α} {b : β} {f : (i : Nat) → α → (
cases l with
| nil => simp
| cons x l' =>
simp only [mapFinIdx_cons, cons.injEq,
simp only [mapFinIdx_cons, cons.injEq,
]
constructor
· rintro rfl, rfl
@@ -384,8 +383,7 @@ theorem mapIdx_eq_zipIdx_map {l : List α} {f : Nat → α → β} :
simp only [getElem?_mapIdx, Option.map, getElem?_map, getElem?_zipIdx]
split <;> simp
@[deprecated mapIdx_eq_zipIdx_map (since := "2025-01-21")]
abbrev mapIdx_eq_enum_map := @mapIdx_eq_zipIdx_map
@[simp, grind =]
theorem mapIdx_cons {l : List α} {a : α} :

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@@ -8,9 +8,14 @@ module
prelude
public import Init.Data.List.Lemmas
public import Init.Data.List.Pairwise
public import Init.Data.Order.Factories
public import Init.Data.Subtype.Order
import Init.Data.Order.Lemmas
public section
open Std
/-!
# Lemmas about `List.min?` and `List.max?.
-/
@@ -55,7 +60,7 @@ theorem min?_eq_head? {α : Type u} [Min α] {l : List α}
have hx : min x y = x := rel_of_pairwise_cons h mem_cons_self
rw [foldl_cons, ih _ (hx.symm h.sublist (by simp)), hx]
theorem min?_mem [Min α] (min_eq_or : a b : α, min a b = a min a b = b) :
theorem min?_mem [Min α] [MinEqOr α] :
{xs : List α} xs.min? = some a a xs := by
intro xs
match xs with
@@ -72,13 +77,10 @@ theorem min?_mem [Min α] (min_eq_or : ∀ a b : α, min a b = a min a b = b
have p := ind _ eq
cases p with
| inl p =>
cases min_eq_or x y with | _ q => simp [p, q]
cases MinEqOr.min_eq_or x y with | _ q => simp [p, q]
| inr p => simp [p, mem_cons]
-- See also `Init.Data.List.Nat.Basic` for specialisations of the next two results to `Nat`.
theorem le_min?_iff [Min α] [LE α]
(le_min_iff : a b c : α, a min b c a b a c) :
theorem le_min?_iff [Min α] [LE α] [LawfulOrderInf α] :
{xs : List α} xs.min? = some a {x}, x a b, b xs x b
| nil => by simp
| cons x xs => by
@@ -93,34 +95,64 @@ theorem le_min?_iff [Min α] [LE α]
simp at eq
simp [ih _ eq, le_min_iff, and_assoc]
-- This could be refactored by designing appropriate typeclasses to replace `le_refl`, `min_eq_or`,
-- and `le_min_iff`.
theorem min?_eq_some_iff [Min α] [LE α]
(le_refl : a : α, a a)
(min_eq_or : a b : α, min a b = a min a b = b)
(le_min_iff : a b c : α, a min b c a b a c) {xs : List α}
(anti : a b, a xs b xs a b b a a = b := by
exact fun a b _ _ => Std.Antisymm.antisymm a b) :
theorem min?_eq_some_iff [Min α] [LE α] {xs : List α} [IsLinearOrder α] [LawfulOrderMin α] :
xs.min? = some a a xs b, b xs a b := by
refine fun h => min?_mem min_eq_or h, (le_min?_iff le_min_iff h).1 (le_refl _), ?_
refine fun h => min?_mem h, (le_min?_iff h).1 (le_refl _), ?_
intro h₁, h₂
cases xs with
| nil => simp at h₁
| cons x xs =>
exact congrArg some <| anti _ _ (min?_mem min_eq_or rfl) h₁
((le_min?_iff le_min_iff (xs := x::xs) rfl).1 (le_refl _) _ h₁)
(h₂ _ (min?_mem min_eq_or (xs := x::xs) rfl))
rw [List.min?]
exact congrArg some <| le_antisymm
((le_min?_iff (xs := x :: xs) rfl).1 (le_refl _) _ h₁)
(h₂ _ (min?_mem (xs := x :: xs) rfl))
theorem min?_replicate [Min α] {n : Nat} {a : α} (w : min a a = a) :
private theorem min?_attach [Min α] [MinEqOr α] {xs : List α} :
xs.attach.min? = (xs.min?.pmap (fun m hm => m, min?_mem hm) (fun _ => id)) := by
cases xs with
| nil => simp
| cons x xs =>
simp only [min?, attach_cons, Option.some.injEq, Option.pmap_some]
rw [foldl_map]
simp only [Subtype.ext_iff]
rw [ foldl_attach (l := xs)]
apply Eq.trans (foldl_hom (f := Subtype.val) ?_).symm
· rfl
· intros; rfl
theorem min?_eq_min?_attach [Min α] [MinEqOr α] {xs : List α} :
xs.min? = (xs.attach.min?.map Subtype.val) := by
simp [min?_attach, Option.map_pmap]
theorem min?_eq_some_iff_subtype [Min α] [LE α] {xs : List α}
[MinEqOr α] [IsLinearOrder (Subtype (· xs))] [LawfulOrderMin (Subtype (· xs))] :
xs.min? = some a a xs b, b xs a b := by
have := fun a => min?_eq_some_iff (xs := xs.attach) (a := a)
rw [min?_eq_min?_attach]
simp [min?_eq_some_iff]
constructor
· rintro ha, h
exact ha, h
· rintro ha, h
exact ha, h
theorem min?_replicate [Min α] [Std.IdempotentOp (min : α α α)] {n : Nat} {a : α} :
(replicate n a).min? = if n = 0 then none else some a := by
induction n with
| zero => rfl
| succ n ih => cases n <;> simp_all [replicate_succ, min?_cons']
| succ n ih => cases n <;> simp_all [replicate_succ, min?_cons', Std.IdempotentOp.idempotent]
@[simp] theorem min?_replicate_of_pos [Min α] {n : Nat} {a : α} (w : min a a = a) (h : 0 < n) :
@[simp] theorem min?_replicate_of_pos [Min α] [MinEqOr α] {n : Nat} {a : α} (h : 0 < n) :
(replicate n a).min? = some a := by
simp [min?_replicate, Nat.ne_of_gt h, w]
simp [min?_replicate, Nat.ne_of_gt h]
/--
This lemma is also applicable given the following instances:
```
[LE α] [Min α] [IsLinearOrder α] [LawfulOrderMin α]
```
-/
theorem foldl_min [Min α] [Std.IdempotentOp (min : α α α)] [Std.Associative (min : α α α)]
{l : List α} {a : α} : l.foldl (init := a) min = min a (l.min?.getD a) := by
cases l <;> simp [min?, foldl_assoc, Std.IdempotentOp.idempotent]
@@ -144,54 +176,124 @@ theorem isSome_max?_of_mem {l : List α} [Max α] {a : α} (h : a ∈ l) :
l.max?.isSome := by
cases l <;> simp_all [max?_cons']
theorem max?_mem [Max α] (min_eq_or : a b : α, max a b = a max a b = b) :
{xs : List α} xs.max? = some a a xs
| nil => by simp
| cons x xs => by
rw [max?]; rintro
induction xs generalizing x with simp at *
| cons y xs ih =>
rcases ih (max x y) with h | h <;> simp [h]
simp [ or_assoc, min_eq_or x y]
-- See also `Init.Data.List.Nat.Basic` for specialisations of the next two results to `Nat`.
theorem max?_le_iff [Max α] [LE α]
(max_le_iff : a b c : α, max b c a b a c a) :
{xs : List α} xs.max? = some a {x}, a x b xs, b x
| nil => by simp
| cons x xs => by
rw [max?]; rintro y
induction xs generalizing x with
theorem max?_eq_head? {α : Type u} [Max α] {l : List α}
(h : l.Pairwise (fun a b => max a b = a)) : l.max? = l.head? := by
cases l with
| nil => rfl
| cons x l =>
rw [head?_cons, max?_cons', Option.some.injEq]
induction l generalizing x with
| nil => simp
| cons y xs ih => simp [ih, max_le_iff, and_assoc]
| cons y l ih =>
have hx : max x y = x := rel_of_pairwise_cons h mem_cons_self
rw [foldl_cons, ih _ (hx.symm h.sublist (by simp)), hx]
-- This could be refactored by designing appropriate typeclasses to replace `le_refl`, `max_eq_or`,
-- and `le_min_iff`.
theorem max?_eq_some_iff [Max α] [LE α] [anti : Std.Antisymm ((· : α) ·)]
(le_refl : a : α, a a)
(max_eq_or : a b : α, max a b = a max a b = b)
(max_le_iff : a b c : α, max b c a b a c a) {xs : List α} :
xs.max? = some a a xs b xs, b a := by
refine fun h => max?_mem max_eq_or h, (max?_le_iff max_le_iff h).1 (le_refl _), ?_
theorem max?_mem [Max α] [MaxEqOr α] :
{xs : List α} xs.max? = some a a xs := by
intro xs
match xs with
| nil => simp
| x :: xs =>
simp only [max?_cons', Option.some.injEq, mem_cons]
intro eq
induction xs generalizing x with
| nil =>
simp at eq
simp [eq]
| cons y xs ind =>
simp at eq
have p := ind _ eq
cases p with
| inl p =>
cases MaxEqOr.max_eq_or x y with | _ q => simp [p, q]
| inr p => simp [p, mem_cons]
theorem max?_le_iff [Max α] [LE α] [LawfulOrderSup α] :
{xs : List α} xs.max? = some a {x}, a x b, b xs b x
| nil => by simp
| cons x xs => by
rw [max?]
intro eq y
simp only [Option.some.injEq] at eq
induction xs generalizing x with
| nil =>
simp at eq
simp [eq]
| cons z xs ih =>
simp at eq
simp [ih _ eq, max_le_iff, and_assoc]
theorem max?_eq_some_iff [Max α] [LE α] {xs : List α} [IsLinearOrder (α)]
[LawfulOrderMax α] : xs.max? = some a a xs b, b xs b a := by
refine fun h => max?_mem h, (max?_le_iff h).1 (le_refl _), ?_
intro h₁, h₂
cases xs with
| nil => simp at h₁
| cons x xs =>
exact congrArg some <| anti.1 _ _
(h₂ _ (max?_mem max_eq_or (xs := x::xs) rfl))
((max?_le_iff max_le_iff (xs := x::xs) rfl).1 (le_refl _) _ h₁)
rw [List.max?]
exact congrArg some <| le_antisymm
(h₂ _ (max?_mem (xs := x :: xs) rfl))
((max?_le_iff (xs := x :: xs) rfl).1 (le_refl _) _ h₁)
theorem max?_replicate [Max α] {n : Nat} {a : α} (w : max a a = a) :
private theorem max?_attach [Max α] [MaxEqOr α] {xs : List α} :
xs.attach.max? = (xs.max?.pmap (fun m hm => m, max?_mem hm) (fun _ => id)) := by
cases xs with
| nil => simp
| cons x xs =>
simp only [max?, attach_cons, Option.some.injEq, Option.pmap_some]
rw [foldl_map]
simp only [Subtype.ext_iff]
rw [ foldl_attach (l := xs)]
apply Eq.trans (foldl_hom (f := Subtype.val) ?_).symm
· rfl
· intros; rfl
theorem max?_eq_max?_attach [Max α] [MaxEqOr α] {xs : List α} :
xs.max? = (xs.attach.max?.map Subtype.val) := by
simp [max?_attach, Option.map_pmap]
theorem max?_eq_some_iff_subtype [Max α] [LE α] {xs : List α}
[MaxEqOr α] [IsLinearOrder (Subtype (· xs))]
[LawfulOrderMax (Subtype (· xs))] :
xs.max? = some a a xs b, b xs b a := by
have := fun a => max?_eq_some_iff (xs := xs.attach) (a := a)
rw [max?_eq_max?_attach]
simp [max?_eq_some_iff]
constructor
· rintro ha, h
exact ha, h
· rintro ha, h
exact ha, h
@[deprecated max?_eq_some_iff (since := "2025-08-01")]
theorem max?_eq_some_iff_legacy [Max α] [LE α] [anti : Std.Antisymm (· · : α α Prop)]
(le_refl : a : α, a a)
(max_eq_or : a b : α, max a b = a max a b = b)
(max_le_iff : a b c : α, max b c a b a c a) {xs : List α} :
xs.max? = some a a xs b xs, b a := by
haveI : MaxEqOr α := max_eq_or
haveI : LawfulOrderMax α := .of_max_le_iff (fun _ _ _ => max_le_iff _ _ _) max_eq_or
haveI : Refl (α := α) (· ·) := le_refl
haveI : IsLinearOrder α := .of_refl_of_antisymm_of_lawfulOrderMax
apply max?_eq_some_iff
theorem max?_replicate [Max α] [Std.IdempotentOp (max : α α α)] {n : Nat} {a : α} :
(replicate n a).max? = if n = 0 then none else some a := by
induction n with
| zero => rfl
| succ n ih => cases n <;> simp_all [replicate_succ, max?_cons']
| succ n ih => cases n <;> simp_all [replicate_succ, max?_cons', Std.IdempotentOp.idempotent]
@[simp] theorem max?_replicate_of_pos [Max α] {n : Nat} {a : α} (w : max a a = a) (h : 0 < n) :
@[simp] theorem max?_replicate_of_pos [Max α] [MaxEqOr α] {n : Nat} {a : α} (h : 0 < n) :
(replicate n a).max? = some a := by
simp [max?_replicate, Nat.ne_of_gt h, w]
simp [max?_replicate, Nat.ne_of_gt h]
/--
This lemma is also applicable given the following instances:
```
[LE α] [Min α] [IsLinearOrder α] [LawfulOrderMax α]
```
-/
theorem foldl_max [Max α] [Std.IdempotentOp (max : α α α)] [Std.Associative (max : α α α)]
{l : List α} {a : α} : l.foldl (init := a) max = max a (l.max?.getD a) := by
cases l <;> simp [max?, foldl_assoc, Std.IdempotentOp.idempotent]

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@@ -101,7 +101,7 @@ theorem mapM_eq_reverse_foldlM_cons [Monad m] [LawfulMonad m] {f : α → m β}
induction l with
| nil => simp
| cons a as ih =>
simp only [mapM'_cons, ih, bind_map_left, foldlM_cons,
simp only [mapM'_cons, ih, bind_map_left, foldlM_cons,
foldlM_cons_eq_append, _root_.map_bind, Functor.map_map, reverse_append,
reverse_cons, reverse_nil, nil_append, singleton_append]
simp [bind_pure_comp]
@@ -137,6 +137,43 @@ theorem filterMapM_loop_eq [Monad m] [LawfulMonad m] {f : α → m (Option β)}
rw [filterMapM_loop_eq, filterMapM]
simp
/-! ### zipWithM -/
/--
Applies the monadic action `f` to the corresponding elements of two lists, left-to-right, stopping
at the end of the shorter list. `zipWithM' f as bs` is equivalent to `mapM id (zipWith f as bs)`
for lawful `Monad` instances.
-/
@[expose]
def zipWithM' {m : Type u Type v} [Monad m] {α : Type w} {β : Type x} {γ : Type u} (f : α β m γ) : (xs : List α) (ys : List β) m (List γ)
| x::xs, y::ys => do
let z f x y
let zs zipWithM' f xs ys
pure (z :: zs)
| _, _ => pure []
@[simp, grind =] theorem zipWithM'_nil_left [Monad m] {f : α β m γ} : zipWithM' f [] l = pure (f := m) [] := by simp only [zipWithM']
@[simp, grind =] theorem zipWithM'_nil_right [Monad m] {f : α β m γ} : zipWithM' f l [] = pure (f := m) [] := by simp only [zipWithM']
@[simp, grind =] theorem zipWithM'_cons_cons [Monad m] {f : α β m γ} :
zipWithM' f (a :: as) (b :: bs) = do return ( f a b) :: ( zipWithM' f as bs) := by simp only [zipWithM']
@[grind =]
theorem zipWithM'_eq_zipWithM [Monad m] [LawfulMonad m] {f : α β m γ} {l : List α} {l' : List β} :
zipWithM' f l l' = zipWithM f l l' := by simp [zipWithM, go l l' #[]] where
go l l' acc : zipWithM.loop f l l' acc = return acc.toList ++ ( zipWithM' f l l') := by
fun_induction zipWithM.loop <;> simp [zipWithM', *]
@[simp, grind =] theorem zipWithM_nil_left [Monad m] {f : α β m γ} : zipWithM f [] l = pure (f := m) [] := rfl
@[simp, grind =] theorem zipWithM_nil_right [Monad m] {f : α β m γ} : zipWithM f l [] = pure (f := m) [] := by simp only [zipWithM, zipWithM.loop]
@[simp, grind =] theorem zipWithM_cons_cons [Monad m] [LawfulMonad m] {f : α β m γ} :
zipWithM f (a :: as) (b :: bs) = do return ( f a b) :: ( zipWithM f as bs) := by
simp [ zipWithM'_eq_zipWithM]
@[simp, grind =]
theorem zipWithM'_eq_mapM_id_zipWith {m : Type v Type w} [Monad m] [LawfulMonad m] {f : α β m γ} {as : List α} {bs : List β} :
zipWithM' f as bs = mapM id (zipWith f as bs) := by
fun_induction zipWithM' <;> simp [zipWith, *]
/-! ### flatMapM -/
@[simp, grind =] theorem flatMapM_nil [Monad m] {f : α m (List β)} : [].flatMapM f = pure [] := rfl
@@ -224,13 +261,7 @@ theorem foldrM_filter [Monad m] [LawfulMonad m] {p : α → Bool} {g : α → β
/-! ### forM -/
@[deprecated forM_nil (since := "2025-01-31")]
theorem forM_nil' [Monad m] : ([] : List α).forM f = (pure .unit : m PUnit) := rfl
@[deprecated forM_cons (since := "2025-01-31")]
theorem forM_cons' [Monad m] :
(a::as).forM f = (f a >>= fun _ => as.forM f : m PUnit) :=
List.forM_cons
@[simp, grind =] theorem forM_append [Monad m] [LawfulMonad m] {l₁ l₂ : List α} {f : α m PUnit} :
forM (l₁ ++ l₂) f = (do forM l₁ f; forM l₂ f) := by

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@@ -10,6 +10,7 @@ public import Init.Data.List.Count
public import Init.Data.List.Find
public import Init.Data.List.MinMax
public import Init.Data.Nat.Lemmas
import Init.Data.Nat.Order
public section
@@ -210,12 +211,10 @@ theorem mem_eraseIdx_iff_getElem? {x : α} {l} {k} : x ∈ eraseIdx l k ↔ ∃
/-! ### min? -/
-- A specialization of `min?_eq_some_iff` to Nat.
@[deprecated min?_eq_some_iff (since := "2025-08-08")]
theorem min?_eq_some_iff' {xs : List Nat} :
xs.min? = some a (a xs b xs, a b) :=
min?_eq_some_iff
(le_refl := Nat.le_refl)
(min_eq_or := fun _ _ => Nat.min_def .. by split <;> simp)
(le_min_iff := fun _ _ _ => Nat.le_min)
xs.min? = some a (a xs b xs, a b) := by
exact min?_eq_some_iff
theorem min?_get_le_of_mem {l : List Nat} {a : Nat} (h : a l) :
l.min?.get (isSome_min?_of_mem h) a := by
@@ -237,12 +236,10 @@ theorem min?_getD_le_of_mem {l : List Nat} {a k : Nat} (h : a ∈ l) : l.min?.ge
/-! ### max? -/
-- A specialization of `max?_eq_some_iff` to Nat.
@[deprecated max?_eq_some_iff (since := "2025-08-08")]
theorem max?_eq_some_iff' {xs : List Nat} :
xs.max? = some a (a xs b xs, b a) :=
max?_eq_some_iff
(le_refl := Nat.le_refl)
(max_eq_or := fun _ _ => Nat.max_def .. by split <;> simp)
(max_le_iff := fun _ _ _ => Nat.max_le)
theorem le_max?_get_of_mem {l : List Nat} {a : Nat} (h : a l) :
a l.max?.get (isSome_max?_of_mem h) := by

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@@ -61,10 +61,10 @@ theorem pairwise_iff_getElem {l : List α} : Pairwise R l ↔
(i j : Nat) (_hi : i < l.length) (_hj : j < l.length) (_hij : i < j), R l[i] l[j] := by
rw [pairwise_iff_forall_sublist]
constructor <;> intro h
· intros i j hi hj h'
· intro i j hi hj h'
apply h
simpa [h'] using map_getElem_sublist (is := [i, hi, j, hj])
· intros a b h'
· intro a b h'
have is, h', hij := sublist_eq_map_getElem h'
rcases is with | a', | b', <;> simp at h'
rcases h' with rfl, rfl

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@@ -58,7 +58,7 @@ theorem pairwise_lt_range' {s n} (step := 1) (pos : 0 < step := by simp) :
| s, n + 1, step, pos => by
simp only [range'_succ, pairwise_cons]
constructor
· intros n m
· intro n m
rw [mem_range'] at m
omega
· exact pairwise_lt_range' (s := s + step) step pos
@@ -70,7 +70,7 @@ theorem pairwise_le_range' {s n} (step := 1) :
| s, n + 1, step => by
simp only [range'_succ, pairwise_cons]
constructor
· intros n m
· intro n m
rw [mem_range'] at m
omega
· exact pairwise_le_range' (s := s + step) step
@@ -90,31 +90,27 @@ theorem map_sub_range' {a s : Nat} (h : a ≤ s) (n : Nat) :
rintro rfl
omega
@[deprecated range'_eq_singleton_iff (since := "2025-01-29")]
abbrev range'_eq_singleton := @range'_eq_singleton_iff
theorem range'_eq_append_iff : range' s n = xs ++ ys k, k n xs = range' s k ys = range' (s + k) (n - k) := by
theorem range'_eq_append_iff : range' s n step = xs ++ ys k, k n xs = range' s k step ys = range' (s + k * step) (n - k) step := by
induction n generalizing s xs ys with
| zero => simp
| succ n ih =>
simp only [range'_succ]
rw [cons_eq_append_iff]
have add_mul' (k n m : Nat) : (n + m) * k = m * k + n * k := by rw [Nat.add_mul]; omega
constructor
· rintro (rfl, rfl | _, rfl, h)
· exact 0, by simp [range'_succ]
· simp only [ih] at h
obtain k, h, rfl, rfl := h
refine k + 1, ?_
simp_all [range'_succ]
omega
simp_all [range'_succ, Nat.add_assoc]
· rintro k, h, rfl, rfl
cases k with
| zero => simp [range'_succ]
| succ k =>
simp only [range'_succ, reduceCtorEq, false_and, cons.injEq, true_and, ih, range'_inj, exists_eq_left', or_true, and_true, false_or]
simp only [range'_succ, reduceCtorEq, false_and, cons.injEq, true_and, ih, exists_eq_left', false_or]
refine k, ?_
simp_all
omega
simp_all [Nat.add_assoc]
@[simp] theorem find?_range'_eq_some {s n : Nat} {i : Nat} {p : Nat Bool} :
(range' s n).find? p = some i p i i range' s n j, s j j < i !p j := by
@@ -181,6 +177,46 @@ theorem count_range_1' {a s n} :
specialize h (a - s)
omega
@[simp, grind =]
theorem sum_range' : (range' start n step).sum = n * start + n * (n - 1) * step / 2 := by
induction n generalizing start with
| zero => simp
| succ n ih =>
simp_all only [List.range'_succ, List.sum_cons, Nat.mul_add, Nat.add_assoc,
Nat.add_mul, Nat.one_mul, Nat.add_one_sub_one]
have : n * step + n * (n - 1) * step / 2 = (n * n * step + n * step) / 2 := by
apply Nat.eq_div_of_mul_eq_left (by omega)
rw [Nat.add_mul, Nat.div_mul_cancel]
· calc n * step * 2 + n * (n - 1) * step
_ = n * step * 2 + n * step * (n - 1) := by simp [Nat.mul_comm, Nat.mul_assoc]
_ = n * step + n * step * n := by cases n <;> simp [Nat.mul_succ, Nat.add_assoc, Nat.add_comm]
_ = n * n * step + n * step := by simp [Nat.mul_comm, Nat.add_comm, Nat.mul_left_comm]
· have : 2 n 2 (n - 1) := by omega
apply Nat.dvd_mul_right_of_dvd
apply Nat.dvd_mul.mpr
cases this with
| inl h => exists 2, 1; omega
| inr h => exists 1, 2; omega
omega
@[simp, grind =]
theorem drop_range' : (List.range' start n step).drop k = List.range' (start + k * step) (n - k) step := by
induction k generalizing start n with
| zero => simp
| succ => cases n <;> simp [*, List.range'_succ, Nat.add_mul, Nat.add_assoc, Nat.add_right_comm]
@[simp, grind =]
theorem take_range'_of_length_le (h : n k) : (List.range' start n step).take k = List.range' start n step := by
induction n generalizing start k with
| zero => simp
| succ n ih => cases k <;> simp_all [List.range'_succ]
@[simp, grind =]
theorem take_range'_of_length_ge (h : n k) : (List.range' start n step).take k = List.range' start k step := by
induction k generalizing start n with
| zero => simp
| succ k ih => cases n <;> simp_all [List.range'_succ]
/-! ### range -/
theorem reverse_range' : {s n : Nat}, reverse (range' s n) = map (s + n - 1 - ·) (range n)
@@ -230,152 +266,6 @@ theorem count_range {a n} :
rw [range_eq_range', count_range_1']
simp
/-! ### iota -/
section
set_option linter.deprecated false
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20")]
theorem iota_eq_reverse_range' : n : Nat, iota n = reverse (range' 1 n)
| 0 => rfl
| n + 1 => by simp [iota, range'_concat, iota_eq_reverse_range' n, reverse_append, Nat.add_comm]
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
theorem length_iota (n : Nat) : length (iota n) = n := by simp [iota_eq_reverse_range']
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
theorem iota_eq_nil {n : Nat} : iota n = [] n = 0 := by
cases n <;> simp
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20")]
theorem iota_ne_nil {n : Nat} : iota n [] n 0 := by
cases n <;> simp
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
theorem mem_iota {m n : Nat} : m iota n 0 < m m n := by
simp [iota_eq_reverse_range', Nat.add_comm, Nat.lt_succ]
omega
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
theorem iota_inj : iota n = iota n' n = n' := by
constructor
· intro h
have h' := congrArg List.length h
simp at h'
exact h'
· rintro rfl
simp
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20")]
theorem iota_eq_cons_iff : iota n = a :: xs n = a 0 < n xs = iota (n - 1) := by
simp [iota_eq_reverse_range']
simp [range'_eq_append_iff, reverse_eq_iff]
constructor
· rintro k, h, rfl, h'
rw [eq_comm, range'_eq_singleton] at h'
simp only [reverse_inj, range'_inj, or_true, and_true]
omega
· rintro rfl, h, rfl
refine n - 1, by simp, rfl, ?_
rw [eq_comm, range'_eq_singleton]
omega
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20")]
theorem iota_eq_append_iff : iota n = xs ++ ys k, k n xs = (range' (k + 1) (n - k)).reverse ys = iota k := by
simp only [iota_eq_reverse_range']
rw [reverse_eq_append_iff]
rw [range'_eq_append_iff]
simp only [reverse_eq_iff]
constructor
· rintro k, h, rfl, rfl
simp; omega
· rintro k, h, rfl, rfl
exact k, by simp; omega
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20")]
theorem pairwise_gt_iota (n : Nat) : Pairwise (· > ·) (iota n) := by
simpa only [iota_eq_reverse_range', pairwise_reverse] using pairwise_lt_range'
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20")]
theorem nodup_iota (n : Nat) : Nodup (iota n) :=
(pairwise_gt_iota n).imp Nat.ne_of_gt
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
theorem head?_iota (n : Nat) : (iota n).head? = if n = 0 then none else some n := by
cases n <;> simp
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
theorem head_iota (n : Nat) (h) : (iota n).head h = n := by
cases n with
| zero => simp at h
| succ n => simp
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
theorem tail_iota (n : Nat) : (iota n).tail = iota (n - 1) := by
cases n <;> simp
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
theorem reverse_iota : reverse (iota n) = range' 1 n := by
induction n with
| zero => simp
| succ n ih =>
rw [iota_succ, reverse_cons, ih, range'_1_concat, Nat.add_comm]
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
theorem getLast?_iota (n : Nat) : (iota n).getLast? = if n = 0 then none else some 1 := by
rw [getLast?_eq_head?_reverse]
simp [head?_range']
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
theorem getLast_iota (n : Nat) (h) : (iota n).getLast h = 1 := by
rw [getLast_eq_head_reverse]
simp
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20")]
theorem find?_iota_eq_none {n : Nat} {p : Nat Bool} :
(iota n).find? p = none i, 0 < i i n !p i := by
simp
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
theorem find?_iota_eq_some {n : Nat} {i : Nat} {p : Nat Bool} :
(iota n).find? p = some i p i i iota n j, i < j j n !p j := by
rw [find?_eq_some_iff_append]
simp only [iota_eq_reverse_range', reverse_eq_append_iff, reverse_cons, append_assoc, cons_append,
nil_append, Bool.not_eq_eq_eq_not, Bool.not_true, exists_and_right, mem_reverse, mem_range'_1,
and_congr_right_iff]
intro h
constructor
· rintro as, xs, h, h'
constructor
· replace h : i range' 1 n := by
rw [h]
exact mem_append_cons_self
simpa using h
· rw [range'_eq_append_iff] at h
simp [reverse_eq_iff] at h
obtain k, h₁, rfl, h₂ := h
rw [eq_comm, range'_eq_cons_iff, reverse_eq_iff] at h₂
obtain rfl, -, rfl := h₂
intro j j₁ j₂
apply h'
simp; omega
· rintro i₁, i₂, h
refine (range' (i+1) (n-i)).reverse, (range' 1 (i-1)).reverse, ?_, ?_
· simp [ range'_succ]
rw [range'_eq_append_iff]
refine i-1, ?_
constructor
· omega
· simp
omega
· simp
intros a a₁ a₂
apply h
· omega
· omega
end
/-! ### zipIdx -/
@[simp, grind =]
@@ -504,245 +394,10 @@ theorem zipIdx_eq_append_iff {l : List α} {k : Nat} :
simp only [length_range'] at h
obtain rfl := h
refine ws, xs, rfl, ?_
simp only [zipIdx_eq_zip_range', length_append, true_and]
congr
omega
simp [zipIdx_eq_zip_range', length_append]
· rintro l₁', l₂', rfl, rfl, rfl
simp only [zipIdx_eq_zip_range']
refine l₁', l₂', range' k l₁'.length, range' (k + l₁'.length) l₂'.length, ?_
simp
/-! ### enumFrom -/
section
set_option linter.deprecated false
@[deprecated zipIdx_singleton (since := "2025-01-21"), simp]
theorem enumFrom_singleton (x : α) (n : Nat) : enumFrom n [x] = [(n, x)] :=
rfl
@[deprecated head?_zipIdx (since := "2025-01-21"), simp]
theorem head?_enumFrom (n : Nat) (l : List α) :
(enumFrom n l).head? = l.head?.map fun a => (n, a) := by
simp [head?_eq_getElem?]
@[deprecated getLast?_zipIdx (since := "2025-01-21"), simp]
theorem getLast?_enumFrom (n : Nat) (l : List α) :
(enumFrom n l).getLast? = l.getLast?.map fun a => (n + l.length - 1, a) := by
simp [getLast?_eq_getElem?]
cases l <;> simp
@[deprecated mk_add_mem_zipIdx_iff_getElem? (since := "2025-01-21")]
theorem mk_add_mem_enumFrom_iff_getElem? {n i : Nat} {x : α} {l : List α} :
(n + i, x) enumFrom n l l[i]? = some x := by
simp [mem_iff_get?]
@[deprecated mk_mem_zipIdx_iff_le_and_getElem?_sub (since := "2025-01-21")]
theorem mk_mem_enumFrom_iff_le_and_getElem?_sub {n i : Nat} {x : α} {l : List α} :
(i, x) enumFrom n l n i l[i - n]? = some x := by
if h : n i then
rcases Nat.exists_eq_add_of_le h with i, rfl
simp [mk_add_mem_enumFrom_iff_getElem?, Nat.add_sub_cancel_left]
else
have : k, n + k i := by rintro k rfl; simp at h
simp [h, mem_iff_get?, this]
@[deprecated le_snd_of_mem_zipIdx (since := "2025-01-21")]
theorem le_fst_of_mem_enumFrom {x : Nat × α} {n : Nat} {l : List α} (h : x enumFrom n l) :
n x.1 :=
(mk_mem_enumFrom_iff_le_and_getElem?_sub.1 h).1
@[deprecated snd_lt_add_of_mem_zipIdx (since := "2025-01-21")]
theorem fst_lt_add_of_mem_enumFrom {x : Nat × α} {n : Nat} {l : List α} (h : x enumFrom n l) :
x.1 < n + length l := by
rcases mem_iff_get.1 h with i, rfl
simpa using i.isLt
@[deprecated map_zipIdx (since := "2025-01-21")]
theorem map_enumFrom (f : α β) (n : Nat) (l : List α) :
map (Prod.map id f) (enumFrom n l) = enumFrom n (map f l) := by
induction l generalizing n <;> simp_all
@[deprecated fst_mem_of_mem_zipIdx (since := "2025-01-21")]
theorem snd_mem_of_mem_enumFrom {x : Nat × α} {n : Nat} {l : List α} (h : x enumFrom n l) : x.2 l :=
enumFrom_map_snd n l mem_map_of_mem h
@[deprecated fst_eq_of_mem_zipIdx (since := "2025-01-21")]
theorem snd_eq_of_mem_enumFrom {x : Nat × α} {n : Nat} {l : List α} (h : x enumFrom n l) :
x.2 = l[x.1 - n]'(by have := le_fst_of_mem_enumFrom h; have := fst_lt_add_of_mem_enumFrom h; omega) := by
induction l generalizing n with
| nil => cases h
| cons hd tl ih =>
cases h with
| head _ => simp
| tail h m =>
specialize ih m
have : x.1 - n = x.1 - (n + 1) + 1 := by
have := le_fst_of_mem_enumFrom m
omega
simp [this, ih]
@[deprecated mem_zipIdx (since := "2025-01-21")]
theorem mem_enumFrom {x : α} {i j : Nat} {xs : List α} (h : (i, x) xs.enumFrom j) :
j i i < j + xs.length
x = xs[i - j]'(by have := le_fst_of_mem_enumFrom h; have := fst_lt_add_of_mem_enumFrom h; omega) :=
le_fst_of_mem_enumFrom h, fst_lt_add_of_mem_enumFrom h, snd_eq_of_mem_enumFrom h
@[deprecated zipIdx_map (since := "2025-01-21")]
theorem enumFrom_map (n : Nat) (l : List α) (f : α β) :
enumFrom n (l.map f) = (enumFrom n l).map (Prod.map id f) := by
induction l with
| nil => rfl
| cons hd tl IH =>
rw [map_cons, enumFrom_cons', enumFrom_cons', map_cons, map_map, IH, map_map]
rfl
@[deprecated zipIdx_append (since := "2025-01-21")]
theorem enumFrom_append (xs ys : List α) (n : Nat) :
enumFrom n (xs ++ ys) = enumFrom n xs ++ enumFrom (n + xs.length) ys := by
induction xs generalizing ys n with
| nil => simp
| cons x xs IH =>
rw [cons_append, enumFrom_cons, IH, cons_append, enumFrom_cons, length, Nat.add_right_comm,
Nat.add_assoc]
@[deprecated zipIdx_eq_cons_iff (since := "2025-01-21")]
theorem enumFrom_eq_cons_iff {l : List α} {n : Nat} :
l.enumFrom n = x :: l' a as, l = a :: as x = (n, a) l' = enumFrom (n + 1) as := by
rw [enumFrom_eq_zip_range', zip_eq_cons_iff]
constructor
· rintro l₁, l₂, h, rfl, rfl
rw [range'_eq_cons_iff] at h
obtain rfl, -, rfl := h
exact x.2, l₂, by simp [enumFrom_eq_zip_range']
· rintro a, as, rfl, rfl, rfl
refine range' (n+1) as.length, as, ?_
simp [enumFrom_eq_zip_range', range'_succ]
@[deprecated zipIdx_eq_append_iff (since := "2025-01-21")]
theorem enumFrom_eq_append_iff {l : List α} {n : Nat} :
l.enumFrom n = l₁ ++ l₂
l₁' l₂', l = l₁' ++ l₂' l₁ = l₁'.enumFrom n l₂ = l₂'.enumFrom (n + l₁'.length) := by
rw [enumFrom_eq_zip_range', zip_eq_append_iff]
constructor
· rintro ws, xs, ys, zs, h, h', rfl, rfl, rfl
rw [range'_eq_append_iff] at h'
obtain k, -, rfl, rfl := h'
simp only [length_range'] at h
obtain rfl := h
refine ys, zs, rfl, ?_
simp only [enumFrom_eq_zip_range', length_append, true_and]
congr
omega
· rintro l₁', l₂', rfl, rfl, rfl
simp only [enumFrom_eq_zip_range']
refine range' n l₁'.length, range' (n + l₁'.length) l₂'.length, l₁', l₂', ?_
simp
end
/-! ### enum -/
section
set_option linter.deprecated false
@[deprecated zipIdx_eq_nil_iff (since := "2025-01-21"), simp]
theorem enum_eq_nil_iff {l : List α} : List.enum l = [] l = [] := enumFrom_eq_nil
@[deprecated zipIdx_singleton (since := "2025-01-21"), simp]
theorem enum_singleton (x : α) : enum [x] = [(0, x)] := rfl
@[deprecated length_zipIdx (since := "2025-01-21"), simp]
theorem enum_length : (enum l).length = l.length :=
enumFrom_length
@[deprecated getElem?_zipIdx (since := "2025-01-21"), simp]
theorem getElem?_enum (l : List α) (i : Nat) : (enum l)[i]? = l[i]?.map fun a => (i, a) := by
rw [enum, getElem?_enumFrom, Nat.zero_add]
@[deprecated getElem_zipIdx (since := "2025-01-21"), simp]
theorem getElem_enum (l : List α) (i : Nat) (h : i < l.enum.length) :
l.enum[i] = (i, l[i]'(by simpa [enum_length] using h)) := by
simp [enum]
@[deprecated head?_zipIdx (since := "2025-01-21"), simp] theorem head?_enum (l : List α) :
l.enum.head? = l.head?.map fun a => (0, a) := by
simp [head?_eq_getElem?]
@[deprecated getLast?_zipIdx (since := "2025-01-21"), simp]
theorem getLast?_enum (l : List α) :
l.enum.getLast? = l.getLast?.map fun a => (l.length - 1, a) := by
simp [getLast?_eq_getElem?]
@[deprecated tail_zipIdx (since := "2025-01-21"), simp]
theorem tail_enum (l : List α) : (enum l).tail = enumFrom 1 l.tail := by
simp [enum]
@[deprecated mk_mem_zipIdx_iff_getElem? (since := "2025-01-21")]
theorem mk_mem_enum_iff_getElem? {i : Nat} {x : α} {l : List α} : (i, x) enum l l[i]? = some x := by
simp [enum, mk_mem_enumFrom_iff_le_and_getElem?_sub]
@[deprecated mem_zipIdx_iff_getElem? (since := "2025-01-21")]
theorem mem_enum_iff_getElem? {x : Nat × α} {l : List α} : x enum l l[x.1]? = some x.2 :=
mk_mem_enum_iff_getElem?
@[deprecated snd_lt_of_mem_zipIdx (since := "2025-01-21")]
theorem fst_lt_of_mem_enum {x : Nat × α} {l : List α} (h : x enum l) : x.1 < length l := by
simpa using fst_lt_add_of_mem_enumFrom h
@[deprecated fst_mem_of_mem_zipIdx (since := "2025-01-21")]
theorem snd_mem_of_mem_enum {x : Nat × α} {l : List α} (h : x enum l) : x.2 l :=
snd_mem_of_mem_enumFrom h
@[deprecated fst_eq_of_mem_zipIdx (since := "2025-01-21")]
theorem snd_eq_of_mem_enum {x : Nat × α} {l : List α} (h : x enum l) :
x.2 = l[x.1]'(fst_lt_of_mem_enum h) :=
snd_eq_of_mem_enumFrom h
@[deprecated mem_zipIdx (since := "2025-01-21")]
theorem mem_enum {x : α} {i : Nat} {xs : List α} (h : (i, x) xs.enum) :
i < xs.length x = xs[i]'(fst_lt_of_mem_enum h) :=
by simpa using mem_enumFrom h
@[deprecated map_zipIdx (since := "2025-01-21")]
theorem map_enum (f : α β) (l : List α) : map (Prod.map id f) (enum l) = enum (map f l) :=
map_enumFrom f 0 l
@[deprecated zipIdx_map_snd (since := "2025-01-21"), simp]
theorem enum_map_fst (l : List α) : map Prod.fst (enum l) = range l.length := by
simp only [enum, enumFrom_map_fst, range_eq_range']
@[deprecated zipIdx_map_fst (since := "2025-01-21"), simp]
theorem enum_map_snd (l : List α) : map Prod.snd (enum l) = l :=
enumFrom_map_snd _ _
@[deprecated zipIdx_map (since := "2025-01-21")]
theorem enum_map (l : List α) (f : α β) : (l.map f).enum = l.enum.map (Prod.map id f) :=
enumFrom_map _ _ _
@[deprecated zipIdx_append (since := "2025-01-21")]
theorem enum_append (xs ys : List α) : enum (xs ++ ys) = enum xs ++ enumFrom xs.length ys := by
simp [enum, enumFrom_append]
@[deprecated zipIdx_eq_zip_range' (since := "2025-01-21")]
theorem enum_eq_zip_range (l : List α) : l.enum = (range l.length).zip l :=
zip_of_prod (enum_map_fst _) (enum_map_snd _)
@[deprecated unzip_zipIdx_eq_prod (since := "2025-01-21"), simp]
theorem unzip_enum_eq_prod (l : List α) : l.enum.unzip = (range l.length, l) := by
simp only [enum_eq_zip_range, unzip_zip, length_range]
@[deprecated zipIdx_eq_cons_iff (since := "2025-01-21")]
theorem enum_eq_cons_iff {l : List α} :
l.enum = x :: l' a as, l = a :: as x = (0, a) l' = enumFrom 1 as := by
rw [enum, enumFrom_eq_cons_iff]
@[deprecated zipIdx_eq_append_iff (since := "2025-01-21")]
theorem enum_eq_append_iff {l : List α} :
l.enum = l₁ ++ l₂
l₁' l₂', l = l₁' ++ l₂' l₁ = l₁'.enum l₂ = l₂'.enumFrom l₁'.length := by
simp [enum, enumFrom_eq_append_iff]
end
end List

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