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191 Commits

Author SHA1 Message Date
Leonardo de Moura
86b60c5a68 chore: fix test 2025-10-08 13:45:36 -07:00
Leonardo de Moura
556fe87f7e feat: hexnum parser
This PR adds a new helper parser for implementing parsers that contain
hexadecimal numbers. We are going to use it to implement anchors in
the `grind` interactive mode.
2025-10-08 13:33:45 -07:00
Leonardo de Moura
98a6fa1ac7 feat: improve grind anchors computation (#10715)
This PR improves anchor stability (aka stable hash codes) used to
reference terms in a `grind` goal.
2025-10-08 17:44:55 +00:00
Sebastian Ullrich
11be7e8f4a chore: use lld if available for building core (#10694) 2025-10-08 16:47:30 +00:00
Lean stage0 autoupdater
a89463bf9e chore: update stage0 2025-10-08 16:51:08 +00:00
Sofia Rodrigues
7600d41c90 fix: add cancel function to the Timer API to make it behave correctly with finalizers and selectables (#10630)
This PR aims to fix the Timer API selector to make it finish as soon as
possible when unregistered. This change makes the `Selectable.one`
function drop the `selectables` array as soon as possible, so when
combined with finalizers that have some effects like the TCP socket
finalizer, it runs it as soon as possible.
2025-10-08 16:14:39 +00:00
Marc Huisinga
80b8e44072 test: fix test flakiness (#10680)
This PR fixes several causes of test flakiness and re-enables the tests
that were disabled in #10665, #10669 and #10673.

Specifically, it fixes:
- A race condition in the file worker that caused it to report an
incomplete snapshot prefix in the inlay hint request (confirmed to be
the cause of #10665)
- A bug in the test runner where it didn't correctly account for
non-deterministic message ordering inducing different RPC pointer
numbering (confirmed to be the cause of #10673)
- A race condition in the watchdog that would sometimes cause the module
hierarchy to be empty (likely the cause of #10669, but not confirmed as
this issue only reproduced again once in tens of thousands of test runs
on various machines, including CI)
- An unrelated bug in the module hierarchy implementation that would
cause it to report an empty module hierarchy when the file was changed

It also replaces some calls to `Task.get` in the language server with
`IO.wait` to protect the code against unfortunate compiler re-ordering.
2025-10-08 13:33:56 +00:00
Sebastian Ullrich
1d989523d4 fix: simp should not pick up inaccessible definitional equations (#10696)
Fixes #10671
2025-10-08 12:48:35 +00:00
Sebastian Ullrich
3b061a0996 chore: more module system fixes and improvements from Mathlib porting (#10655) 2025-10-08 11:30:09 +00:00
Marc Huisinga
1b1c802362 feat: auto-completion for end names (#10660)
This PR adds auto-completion for identifiers after `end`. It also fixes
a bug where completion in the whitespace after `set_option` would not
yield the full option list.

Closes #3885.

### Breaking changes

The `«end»` syntax is adjusted to take an `identWithPartialTrailingDot`
instead of an `ident`.
2025-10-08 11:12:05 +00:00
Joachim Breitner
50c19f704b fix: Let MVarId.cleanup chase local declarations (#10712)
This PR lets `MVarId.cleanup` chase local declarations (a bit as if they
were equalities). Fixes #10710.
2025-10-08 10:49:14 +00:00
Mac Malone
bbc194b733 feat: USE_LAKE_CACHE CMake option (#10708)
This PR adds the `USE_LAKE_CACHE` option to the core CMake build
(defaults to `OFF`). When enabled, the Lake artifact cache will be
enabled (via `enableArtifactCache`) for stage 1 builds (which includes
interactive use).
2025-10-08 08:56:53 +00:00
Leonardo de Moura
4e7a2b2371 feat: anchors for referencing terms in the grind state (#10709)
This PR implements *anchors* (also known as stable hash codes) for
referencing terms occurring in a `grind` goal. It also introduces the
commands `show_splits` and `show_state`. The former displays the anchors
for candidate case splits in the current `grind` goal.
2025-10-08 02:51:21 +00:00
Mac Malone
215bc30296 feat: lake: allowImportAll configuration option (#9855)
This PR adds a new `allowImportAll` configuration option for packages
and libraries. When enabled by an upstream package or library,
downstream packages will be able to `import all` modules of that package
or library. This enables package authors to selectively choose which
`private` elements, if any, downstream packages may have access to.
2025-10-08 02:47:35 +00:00
Leonardo de Moura
b00d1f933f feat: make finish fail when the goal is not closed (#10707)
This PR ensures the `finish` tactic in `grind` interactive mode fails
and reports diagnostics when goal is not closed.
2025-10-07 20:34:19 +00:00
Leonardo de Moura
5ba0f8b885 feat: have tactic for grind interactive mode (#10706)
This PR adds the `have` tactic for the `grind` interactive mode.
Example:
```lean
example {a b c d e : Nat}
    : a > 0 → b > 0 → 2*c + e <= 2 → e = d + 1 → a*b + 2 > 2*c + d := by
  grind =>
    have : a*b > 0 := Nat.mul_pos h h_1
    lia
```
2025-10-07 20:06:16 +00:00
François G. Dorais
43da17aa7f feat: add forall_fin_zero and exists_fin_zero (#10627)
This PR adds lemmas `forall_fin_zero` and `exists_fin_zero`. It also
marks lemmas `forall_fin_zero`, `forall_fin_one`, `forall_fin_two`,
`exists_fin_zero`, `exists_fin_one`, `exists_fin_two` with `simp`
attribute.

Closes #10629
2025-10-07 18:50:23 +00:00
Wojciech Różowski
0195fdf9aa feat: add coinductive command to specify coinductive predicates (#10333)
This PR introduces a `coinductive` keyword, that can be used to define
coinductive predicates via a syntax identical to the one for `inductive`
keyword. The machinery relies on the implementation of elaboration of
inductive types and extracts an endomap on the appropriate space of the
predicates from the definition that is then fed to the
`PartialFixpoint`. Upon elaborating definitions, all the constructors
are declared through automatically generated lemmas.

For example, infinite sequence of transitions in a relation, can be
given by the following:
```lean4
section
variable (α : Type)
coinductive infSeq (r : α → α → Prop) : α → Prop where
  | step : r a b → infSeq r b → infSeq r a
  
/--
info: infSeq.coinduct (α : Type) (r : α → α → Prop) (pred : α → Prop) (hyp : ∀ (x : α), pred x → ∃ b, r x b ∧ pred b)
  (x✝ : α) : pred x✝ → infSeq α r x✝
-/
#guard_msgs in
#check infSeq.coinduct

/--
info: infSeq.step (α : Type) (r : α → α → Prop) {a b : α} : r a b → infSeq α r b → infSeq α r a
-/
#guard_msgs in
#check infSeq.step
end
```
The machinery also supports `mutual` blocks, as well as mixing inductive
and coinductive predicate definitions:
```lean4
mutual
  coinductive tick : Prop where
  | mk : ¬tock → tick

  inductive tock : Prop where
  | mk : ¬tick → tock
end

/--
info: tick.mutual_induct (pred_1 pred_2 : Prop) (hyp_1 : pred_1 → pred_2 → False) (hyp_2 : (pred_1 → False) → pred_2) :
  (pred_1 → tick) ∧ (tock → pred_2)
-/
#guard_msgs in
#check tick.mutual_induct
```

---------

Co-authored-by: Joachim Breitner <mail@joachim-breitner.de>
2025-10-07 18:04:51 +00:00
Joachim Breitner
5a751d4688 fix: induction: do not allow generalizing variables occurring in the using clause (#10697)
This PR lets `induction` print a warning if a variable occurring in the
`using` clause is generalized. Fixes #10683.
2025-10-07 15:38:34 +00:00
Lean stage0 autoupdater
486d93c5fd chore: update stage0 2025-10-07 13:47:20 +00:00
François G. Dorais
8cebe691a2 fix: Nat.and_distrib_right -> Nat.and_or_distrib_right (#10649)
This PR renames `Nat.and_distrib_right` to `Nat.and_or_distrib_right`.
This is to make the name consistent with other theorems in the same file
(e.g. `Nat.and_or_distrib_left`).
2025-10-07 12:57:46 +00:00
Joachim Breitner
8655f7706f refactor: structural recursion: prove .eq_def directly (#10606)
This PR changes how Lean proves the equational theorems for structural
recursion. The core idea is to let-bind the `f` argument to `brecOn` and
rewriting `.brecOn` with an unfolding theorem. This means no extra case
split for the `.rec` in `.brecOn` is needed, and `simp` doesn't change
the `f` argument which can break the definitional equality with the
defined function. With this, we can prove the unfolding theorem first,
and derive the equational theorems from that, like for all other ways of
defining recursive functions.

Backs out the changes from #10415, the old strategy works well with the
new goals.

Fixes #5667
Fixes #10431
Fixes #10195
Fixes #2962
2025-10-07 12:53:09 +00:00
Yuri de Wit
5c92ffc64d doc: fix url to profile.ts source (#10628)
This PR fixes a broken link to the firefox profile definitions in one of
the comments.

The `profile.js` file was renamed to `profile.ts` while the rest of the
url remained the same.
2025-10-07 12:41:04 +00:00
Sebastian Ullrich
ca7e7c4279 fix: do not discard mutual members on macro use (#10695)
This PR fixes an issue where non-`macro` members of a `mutual` block
were discarded if there was at least one macro present.

Fixes #10687
2025-10-07 12:04:04 +00:00
dependabot[bot]
13c38f64a5 chore: CI: bump softprops/action-gh-release from 2.3.2 to 2.3.3 (#10646)
Signed-off-by: dependabot[bot] <support@github.com>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>
2025-10-07 11:42:02 +00:00
dependabot[bot]
b59959ddab chore: CI: bump actions/stale from 9 to 10 (#10647)
Signed-off-by: dependabot[bot] <support@github.com>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>
2025-10-07 11:41:31 +00:00
dependabot[bot]
8f9c27cc06 chore: CI: bump actions/github-script from 7 to 8 (#10648)
Signed-off-by: dependabot[bot] <support@github.com>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>
2025-10-07 11:41:04 +00:00
Sebastian Ullrich
715c53d92e chore: Modulize: put section below first module doc (#10693) 2025-10-07 09:10:42 +00:00
Sebastian Graf
7a9d769444 chore: fix the docstring of PredTrans.conjunctive (#10691) 2025-10-07 08:56:13 +00:00
Sebastian Ullrich
15636a347f fix: induction incrementality on removal of extraneous case (#10679)
This PR fixes an issue where "Invalid alternative name" errors from
`induction` stick around after removing the offending alternative.
2025-10-07 08:24:41 +00:00
Sebastian Ullrich
1ecdf8ddfa chore: simplify and extend Modulize.lean (#10692)
Take explicit list of files instead of asking Lake, take `--meta` flag
instead of guessing based on module name.
2025-10-07 08:22:52 +00:00
Chris Henson
54c6efea95 doc: typo in docstring of Std.Time.DateTime.now (#10668)
This PR fixes a duplicated docstring for `Std.Time.DateTime.now`.
2025-10-07 04:55:31 +00:00
Leonardo de Moura
b13f7e25ec feat: add show_* and instantiate grind tactics (#10690)
This PR adds the `instantiate`, `show_true`, `show_false`,
`show_asserted`, and `show_eqcs` tactics for the `grind` interactive
mode. The `show` tactic take an optional "filter" and are used to probe
the `grind` state. Example:
```lean
example (as bs cs : Array α) (v₁ v₂ : α)
        (i₁ i₂ j : Nat)
        (h₁ : i₁ < as.size)
        (h₂ : bs = as.set i₁ v₁)
        (h₃ : i₂ < bs.size)
        (h₃ : cs = bs.set i₂ v₂)
        (h₄ : i₁ ≠ j ∧ i₂ ≠ j)
        (h₅ : j < cs.size)
        (h₆ : j < as.size)
        : cs[j] = as[j] := by
  grind =>
    instantiate
    -- Display asserted facts with `generation > 0`
    show_asserted gen > 0
    -- Display propositions known to be `True`, containing `j`, and `generation > 0`
    show_true j && gen > 0
    -- Display equivalence classes with terms that contain `as` or `bs`
    show_eqcs as || bs
    instantiate
```

This PR also fixes a bug in the `grind` interactive mode initialization
procedure.
2025-10-07 03:36:22 +00:00
Sofia Rodrigues
6964a15b5d feat: add Std.CancellationToken type (#10510)
This PR adds a `Std.CancellationToken` type
2025-10-07 03:21:45 +00:00
Sofia Rodrigues
ad701b577b feat: add StreamMap (#10400)
This PR adds the StreamMap type that enables multiplexing in
asynchronous streams.

This PR depends on: #10366, #10367 and #10370.

---------

Co-authored-by: Markus Himmel <markus@lean-fro.org>
2025-10-06 23:39:44 +00:00
Henrik Böving
1f7374a5d6 fix: RC dec insertion for unused variables (#10689)
This PR fixes an oversight in the RC insertion phase in the code
generator.

If the code generator encounters a `let` that is unused (which is
perfectly reasonable as at this
phase we are in an impure IR and as such allow for side effects to
happen so we cannot remove all
unused `let`) it didn't insert a `dec` instruction for this variable.
This has previously gone
unnoticed because at this point in the compiler basically all unused
lets are removed already
anyways. However with the `IO`/`ST` token erasure coming up they will be
very frequent.
2025-10-06 22:05:17 +00:00
Mac Malone
aa3d409eb6 refactor: lake: mv tests/examples to top-level tests dir (#10688)
This PR moves Lake's test infrastructure from `src/lake` to
`tests/lake`.
2025-10-06 21:47:57 +00:00
Paul Reichert
7771b8079c refactor: improve naming in the range API (#10537)
This PR renames some declarations in the range API for better
consistency and readability. For example,
`UpwardEnumerable.succMany?_succ?` is now called `succMany?_add_one`, in
order to (a) correct the erroneous use of `succ?` instead of `succ`
(=`Nat.succ`) and (b) distinguish the successor of natural numbers
(`add_one`) from the successor of the upward-enumerable type (`succ?` or
`succ`).
2025-10-06 20:51:09 +00:00
Mac Malone
43d4c8fe9f feat: IO.FS.hardLink (#10676)
This PR adds the `IO.FS.hardLink` function, which can be used to create
hard links.

This is implemented via libuv's `uv_fs_link` function.

Lake hopes to make use of this function to decrease the storage cost of
restoring artifacts.

This PR also fixes some C implementation issues found in nearby similar
functions.
2025-10-06 18:22:07 +00:00
Sofia Rodrigues
4898f28c12 feat: add Std.Broadcast type (#10369)
This PR adds a multi-consumer, multi-producer channel to Std.Sync.

This PR depends on: #10366, #10367 and #10370.

---------

Co-authored-by: Markus Himmel <markus@lean-fro.org>
2025-10-06 17:47:18 +00:00
Paul Reichert
16400e2aa3 feat: add lemmas about iterator fold and map interactions (#10653)
This PR adds equational lemmas about (filter-)mapping and then folding
iterators.
2025-10-06 16:12:13 +00:00
Markus Himmel
d228cd3edd feat: LT and LE instances on new position types (#10685)
This PR introduces `LT` and `LE` instances on `String.ValidPos` and
`String.Slice.Pos`.
2025-10-06 16:06:16 +00:00
Joachim Breitner
232a0495b0 chore: remove public section from end of files (#10684)
This PR removes `public section` lines from end of files; they look a
bit silly there.
2025-10-06 13:30:48 +00:00
Joachim Breitner
30f41fe542 fix: instance name for deriving ToExpr (#10682)
This PR changes the instance name for `deriving ToExpr` to be consistent
with other derived instance since #10271. Fixes #10678.
2025-10-06 11:46:46 +00:00
Leonardo de Moura
fbfb0757ca feat: grind interactive mode basic tactics (#10677)
This PR implements the basic tactics for the new `grind` interactive
mode. While many additional `grind` tactics will be added later, the
foundational framework is already operational. The following `grind`
tactics are currently implemented: `skip`, `done`, `finish`, `lia`, and
`ring`.
This PR also removes the notion of `grind` fallback procedure since it
is subsumed by the new framework. Examples:
```lean
example (x y : Nat) : x ≥ y + 1 → x > 0 := by
  grind => skip; lia; done

open Lean Grind

example [CommRing α] (a b c : α)
  : a + b + c = 3 →
    a^2 + b^2 + c^2 = 5 →
    a^3 + b^3 + c^3 = 7 →
    a^4 + b^4 + c^4 = 9 := by
  grind => ring
```
2025-10-06 01:08:26 +00:00
Sebastian Ullrich
ffb6142ee7 chore: CI: update macOS images (#10666) 2025-10-05 16:06:03 +00:00
Marc Huisinga
7b3c22cebb test: disable flaky interactive diag tests (#10673) 2025-10-05 09:38:41 +00:00
Lean stage0 autoupdater
1ac81c6a7a chore: update stage0 2025-10-05 02:59:23 +00:00
Mac Malone
662dc10447 fix: lake: outdated traces w/ cache (#10672)
This PR fixes an issue with the Lake artifact cache where trace files
were not correctly updated when switching between different cached
builds.
2025-10-05 00:44:43 +00:00
Marc Huisinga
7688919765 test: temporarily disable all new tests that use waitForILeans (#10669)
Due to the flaky test failure at
https://github.com/leanprover/lean4/actions/runs/18241144163/job/51943212141
2025-10-04 09:25:43 +00:00
Rob23oba
5d3df7b5f4 fix: some ExtraModUses (#10620)
This PR records extra mod uses that previously caused wrong unnecessary
import reports from shake.

---------

Co-authored-by: Sebastian Ullrich <sebasti@nullri.ch>
2025-10-03 15:50:40 +00:00
Marc Huisinga
643da1ea1b test: disable flaky tests (#10665) 2025-10-03 14:31:39 +00:00
Marc Huisinga
3d75c2ce2b fix: eliminate potential source of inlay hint flakiness (#10664)
This PR fixes one potential source of inlay hint flakiness.

In the old `IO.waitAny` implementation, we could rely on the fact that
if all tasks in the list were finished, `IO.waitAny` would pick the
first finished one. In the new implementation (#9732), this isn't the
case anymore for fairness reasons, but this also means that in
`IO.AsyncList.getFinishedPrefixWithTimeout`, it can happen that we don't
scan the full finished command snapshot prefix because we pick the
timeout task before the finished snapshot task. This is likely the cause
of a flaky test failure
[here](https://github.com/leanprover/lean4/actions/runs/18215430028/job/51863870111),
where the inlay hint test yielded no result (the timeout task has an
edit delay of 0ms in the first inlay hint request that is emitted,
finishes immediately and can thus immediately cause the finished prefix
to be skipped with the new `waitAny` implementation).

This PR fixes this issue by adding a `hasFinished` check before the
`waitAny` to ensure that we always scan the finished prefix and don't
need to rely on a brittle invariant that doesn't hold anymore. It also
converts some `Task.get`s to `IO.wait` for safety so that the compiler
can't re-order them.
2025-10-03 10:54:36 +00:00
David Thrane Christiansen
b979fa012b fix: verso docstring {name} role suggestion overload (#10663)
This PR disables `{name}` suggestions for `.anonymous` and adds syntax
suggestions.

When the provided name can't be resolved, the `{name}` role suggests
fully-qualified variants. But if the name is a syntax error, it
attempted to suggest names that had `.anonymous` as a suffix; the
resulting list of suggestions of all names in Lean's environment
overloaded the language server.
2025-10-03 09:33:53 +00:00
Sebastian Ullrich
288b7d2023 chore: further cleanup from shaking Init (#10658) 2025-10-02 17:29:00 +00:00
Markus Himmel
5c707d936c chore: rename Stream to Std.Stream (#10645)
This PR renames `Stream` to `Std.Stream` so that the name becomes
available to mathlib after a deprecation cycle.
2025-10-02 15:25:56 +00:00
Joachim Breitner
5a2e46b021 fix: equational theorem generation: avoid reducing at transparency all (#10654)
This PR avoid reducing at transparency all in equational theorem
generation. Fixes #10651.
2025-10-02 13:55:32 +00:00
Sebastian Graf
24c86fc05d fix: improve error message for mstart when goal is not a Prop (#10650)
This PR improves the error message for `mstart` when the goal is not a
`Prop`.
2025-10-02 08:46:29 +00:00
Sebastian Ullrich
d17160518c chore: module system fixes and refinements from Mathlib porting (#10643) 2025-10-02 08:28:08 +00:00
Paul Reichert
89686fcd02 refactor: replace PRange shape α with Rcc α and eight other types (#10319)
This PR "monomorphizes" the structure `Std.PRange shape α`, replacing it
with nine distinct structures `Std.Rcc`, `Std.Rco`, `Std.Rci` etc., one
for each possible shape of a range's bounds. This change was necessary
because the shape polymorphism is detrimental to attempts of automation.

**BREAKING CHANGE:** While range/slice notation itself is unchanged,
this essentially breaks the entire remaining (polymorphic) range and
slice API except for the dot-notation(`toList`, `iter`, ...). It is not
possible to deprecate old declarations that were formulated in a
shape-polymorphic way that is not available anymore.
2025-10-02 06:45:11 +00:00
David Thrane Christiansen
0b2193c771 chore: docstring review for ByteArray (#10632)
This PR adds missing docstrings for ByteArray and makes existing ones
consistent with our style.
2025-10-02 04:20:18 +00:00
David Thrane Christiansen
2c6576b269 chore: missing docstring + style updates for String docs (#10640)
This PR adds a missing docstring and applies our style guide to parts of
the String API.
2025-10-02 04:19:55 +00:00
Markus Himmel
2cca32ccc3 chore: use UTF8 instead of Utf8 in identifiers (#10636)
This PR renames `String.getUtf8Byte` to `String.getUTF8Byte` in order to
adhere to the standard library naming convention.
2025-10-01 17:57:32 +00:00
Sebastian Graf
784a063092 fix: try synthesizing synthetic MVars in mspec (#10644)
This PR explicitly tries to synthesize synthetic MVars in `mspec`. Doing
so resolves a bug triggered by use of the loop invariant lemma for
`Std.PRange`.
2025-10-01 16:29:12 +00:00
Sebastian Graf
ba52e9393c feat: LawfulMonad and WPMonad instances for Option and OptionT (#9932)
This PR adds `LawfulMonad` and `WPMonad` instances for `Option` and
`OptionT`.
2025-10-01 16:16:07 +00:00
Paul Reichert
1efefc25a5 fix: expose Int* definitions for simprocs and decide (fixes #10546) (#10631)
This PR exposes the definitions about `Int*`. The main reason is that
the `SInt` simprocs require many of them to be exposed. Furthermore,
`decide` now works with `Int*` operations. This fixes #10631.
2025-10-01 15:53:02 +00:00
Sebastian Graf
c920326f0b feat: introduce List.Cursor.pos as an abbreviation for prefix.length (#10642)
This PR introduces `List.Cursor.pos` as an abbreviation for
`prefix.length`.
2025-10-01 15:28:30 +00:00
Sebastian Graf
63354ce594 fix: spurious invariant instantiation in mspec by rfl (#10641)
This PR ensures that the `mspec` and `mvcgen` tactics no longer
spuriously instantiate loop invariants by `rfl`.
2025-10-01 15:03:09 +00:00
Sebastian Graf
3095c9d4df fix: hygiene for goals generated by mvcgen (#10639)
This PR fixes hygiene of the local context for *all* goals generated by
`mvcgen`, not just those that get a fresh MVar as in #9781.
2025-10-01 14:13:15 +00:00
Sebastian Graf
689b3aa8d7 feat: disable "experimental" warning for mvcgen (#10638)
This PR disables the "experimental" warning for `mvcgen` by changing its
default.
2025-10-01 14:10:40 +00:00
Lean stage0 autoupdater
d9058225a9 chore: update stage0 2025-10-01 14:32:36 +00:00
Markus Himmel
29c2b86ef4 chore: String.getUTF8Byte (#10637)
This PR adds the function `String.getUTF8Byte` ahead of a more
comprehensive PR to use `UTF8` instead of `Utf8` in identifiers.
2025-10-01 13:59:42 +00:00
Lean stage0 autoupdater
ee8f0cca33 chore: update stage0 2025-10-01 12:32:50 +00:00
Markus Himmel
5bfbe2a875 refactor: incorporate UTF8 material from String.Extra into String.Basic (#10634)
This PR defines `ByteArray.validateUTF8`, uses it to show that
`ByteArray.IsValidUtf8` is decidable and redefines `String.fromUTF8` and
friends to use it.

The functions `String.validateUTF8` and `String.utf8DecodeChar?` are
deprecated in favor of the identically named functions in the
`ByteArray` namespace.
2025-10-01 11:33:29 +00:00
Markus Himmel
9dc1faf327 chore: add an internal String function (#10635)
This PR adds an internal `String` function ahead of an upcoming PR.
2025-10-01 11:12:35 +00:00
Lean stage0 autoupdater
663d4d2c79 chore: update stage0 2025-10-01 08:21:46 +00:00
Markus Himmel
81ea922025 chore: rename String.Pos to String.Pos.Raw (#10624)
This PR renames `String.Pos` to `String.Pos.Raw`.

After an abbreviated deprecation cycle, we will then rename
`String.ValidPos` to `String.Pos`.
2025-10-01 07:45:24 +00:00
Henrik Böving
d88e417cda refactor: tame down dead let eliminator in lambda RC (#10626)
This PR reduces the aggressiveness of the dead let eliminator from
lambda RC.

The motivation for this is that all other passes in lambda RC respect
impurity but the dead let eliminator still operates under the assumption
of purity. There is a couple of motivations for the elim dead let
elaborator:
- unused projections introduced by the ToIR translation
- the elim dead branch pass introducing new opportunities
- closed term extraction introducing new opportunities
2025-09-30 19:51:16 +00:00
Marc Huisinga
dfd3d18530 test: improve language server test coverage (#10574)
This PR significantly improves the test coverage of the language server,
providing at least a single basic test for every request that is used by
the client. It also implements infrastructure for testing all of these
requests, e.g. the ability to run interactive tests in a project context
and refactors the interactive test runner to be more maintainable.
Finally, it also fixes a small bug with the recently implemented unknown
identifier code actions for auto-implicits (#10442) that was discovered
in testing, where the "import all unambiguous unknown identifiers" code
action didn't work correctly on auto-implicit identifiers.
2025-09-30 11:15:03 +00:00
Lean stage0 autoupdater
7d55c033e1 chore: update stage0 2025-09-30 01:46:26 +00:00
Mac Malone
5d8498888b feat: lake: use system cache for bootstrap (#10621)
This PR alters the Lake directory detection so that the core build
(i.e., `bootstrap = true`) is stored in the user cache directory (if
available) and never in a toolchain-specific directory.

It is also fixes some issues with cache environment configuration
discovered along the way.
2025-09-30 00:57:45 +00:00
Mac Malone
5ede2bfcf2 chore: use libPrefixOnWindows in core build (#10617)
This PR switches the core build Lake configuration file to use
`libPrefixOnWindows` rather than a CMake hack.

It also removes some dead TOML variables from the CMake configuration.
2025-09-29 20:07:02 +00:00
Markus Himmel
c039e29a3f perf: shorten critical build path around String.Basic (#10614)
This PR cuts some edges from the import graph.

Specifically:
- `TreeMap` and `HashMap` no longer depend on `String`, so now the
expensive things are all in parallel instead of partially in sequence
- `Omega` no longer relies on `List` lemmas
- The section of the import graph between `Init.Omega` and
`Init.Data.Bitvec.Lemmas` is cleaned up a bit
2025-09-29 19:45:21 +00:00
Kyle Miller
356d1f64bf fix: instantiate mvars in types of mvars in abstractMVars (#10612)
This PR fixes an issue reported [on
Zulip](https://leanprover.zulipchat.com/#narrow/channel/239415-metaprogramming-.2F-tactics/topic/.60abstractMVars.60.20not.20instantiating.20level.20mvars/near/541918246)
where `abstractMVars` (which is used in typeclass inference and `simp`
argument elaboration) was not instantiating metavariables in the types
of metavariables, causing it to abstract already-assigned metavariables.

This also eliminates an unnecessary `instantiateMVars` and documents the
invariant that the argument to `abstractExprMVars` must have its
metavariables already instantiated.
2025-09-29 16:33:10 +00:00
Marc Huisinga
9f2ce635ae fix: unknown identifier code actions with nested open (#10619)
This PR fixes a bug in the unknown identifier code actions where it
would yield non-sensical suggestions for nested `open` declarations like
`open Foo.Bar`.
2025-09-29 15:44:56 +00:00
Sebastian Graf
76403367ba fix: remove superfluous Monad instances from some spec lemmas (#10564) (#10618)
This PR removes superfluous `Monad` instances from the spec lemmas of
the `MonadExceptOf` lifting framework.

It also adds a bit of documentation and more tracing to `mvcgen`.

Fixes #10564.
2025-09-29 15:02:43 +00:00
Marc Huisinga
c016bb9434 fix: non-LSP-compliant FileSystemWatcher (#10609)
This PR fixes an LSP-non-compliance in the `FileSystemWatcher` that was
introduced in #925.

Closes #10597.
2025-09-29 14:16:09 +00:00
Lean stage0 autoupdater
239c348239 chore: update stage0 2025-09-29 14:24:13 +00:00
Henrik Böving
b82303e9b3 feat: consistent type ABI regardless of transparency (#10610)
This PR ensures that even if a type is marked as `irreducible` the
compiler can see through it in
order to discover functions hidden behind type aliases.
2025-09-29 13:31:41 +00:00
Mac Malone
6f3fef9373 fix: lake: add lake help cache (#10616)
This PR fixes an oversight where `lake cache help` existed but `lake
help cache` (and by extension `lake cache --help`) did not.
2025-09-29 12:41:28 +00:00
David Thrane Christiansen
4338a8be32 fix: better error message on missing declaration name for docstring (#10608)
This PR fixes a bad error message due to elaborating partial syntax with
Verso docstrings.

When elaborating partial syntax, the elaborator sometimes attempts to
add a docstring for a declaration that it didn't parse a name for. The
name defaults to anonymous, but inserting the docs for the anonymous
name throws a panic about being on the wrong async branch.

With this change, the reported error is the expected parser error
instead, which is much friendlier.
2025-09-29 06:26:08 +00:00
Lean stage0 autoupdater
19f6c168ef chore: update stage0 2025-09-29 00:32:08 +00:00
Leonardo de Moura
eba8bf3347 feat: infrastructure for grind interactive mode (#10607)
This PR adds infrastructure for the upcoming `grind` tactic mode, which
will be similar to the `conv` mode. The goal is to extend `grind` from a
terminal tactic into an interactive mode: `grind => …`.

It will serve as the foundation for `ungrind`, the process of converting
an expensive (and potentially fragile) `grind` proof into a robust
script. This mode will include tactics for expensive reasoning steps
such as cutsat model-based search, Gröbner basis computation,
E-matching, case splits, and more.

It will also provide robust, succinct references to facts and terms:
labels, structural matches, and anchors (e.g., `#abcd`).
2025-09-28 23:46:49 +00:00
David Thrane Christiansen
8c69b1eaec feat: suggest qualified names while editing Verso docstrings (#10584)
This PR causes Verso docstrings to search for a name in the environment
that is at least as long as the current name, providing it as a
suggestion.
2025-09-28 22:02:26 +00:00
Sebastian Ullrich
fd3f51012f feat: shake import minimizer aware of the module system and arbitrary elaboration dependencies (#10575)
This PR adds the necessary infrastructure for recording elaboration
dependencies that may not be apparent from the resulting environment
such as notations and other metaprograms. An adapted version of `shake`
from Mathlib is added to `script/` but may be moved to another location
or repo in the future.
2025-09-28 16:00:00 +00:00
Sebastian Ullrich
8b2fea1ec7 perf: avoid blocking wait on kernel env on some interpreter entries (#10591) 2025-09-28 12:52:24 +00:00
Lean stage0 autoupdater
9b1109c55d chore: update stage0 2025-09-28 05:44:06 +00:00
Leonardo de Moura
55b35c6e38 chore: grind examples (#10605)
Examples for `grind` demo.
2025-09-28 05:19:04 +00:00
Leonardo de Moura
3ce5097c3c feat: process grind core equalities in grind order (#10604)
This PR implements the method `processNewEq` in `grind order`. It is
responsible for processing equalities propagated by the `grind` E-graph.
2025-09-28 04:19:35 +00:00
Mac Malone
b6bfc9733c fix: lake: module artifact restoration for ir/bc (#10602)
This PR corrects the file path where Lake copies module `.ir` / `.bc`
artifacts.
2025-09-28 04:14:17 +00:00
Leonardo de Moura
8637bd296e fix: isPartialOrder in grind order (#10601)
This PR fixes a panic in `grind order` when order is not a partial
order.
2025-09-28 02:19:29 +00:00
Leonardo de Moura
6881177e38 feat: grind order negative constraints (#10600)
This PR implements support for negative constraints in `grind order`.
Examples:

```lean
open Lean Grind
example [LE α] [LT α] [Std.LawfulOrderLT α] [Std.IsLinearPreorder α]
    (a b c d : α) : a ≤ b → ¬ (c ≤ b) → ¬ (d ≤ c) → d < a → False := by
  grind -linarith (splits := 0)

example [LE α] [Std.IsLinearPreorder α]
    (a b c d : α) : a ≤ b → ¬ (c ≤ b) → ¬ (d ≤ c) → ¬ (a ≤ d) → False := by
  grind -linarith (splits := 0)

example [LE α] [LT α] [Std.LawfulOrderLT α] [Std.IsLinearPreorder α] [CommRing α] [OrderedRing α]
    (a b c d : α) : a - b ≤ 5 → ¬ (c ≤ b) → ¬ (d ≤ c + 2) → d ≤ a - 8 → False := by
  grind -linarith (splits := 0)
```
2025-09-28 01:50:27 +00:00
Leonardo de Moura
409daac2cb fix: Nat adapter in grind order (#10599)
This PR fixes the support for `Nat` in `grind order`. This module uses
the `Nat.ToInt` adapter.
2025-09-28 00:26:37 +00:00
Leonardo de Moura
62fa92ec4a feat: grind order positive constraints (#10598)
This PR implements support for positive constraints in `grind order`.
The new module can already solve problems such as:

```lean
example [LE α] [LT α] [Std.LawfulOrderLT α] [Std.IsPreorder α]
    (a b c : α) : a ≤ b → b ≤ c → c < a → False := by
  grind

example [LE α] [LT α] [Std.LawfulOrderLT α] [Std.IsPreorder α]
    (a b c d : α) : a ≤ b → b ≤ c → c < d → d ≤ a → False := by
  grind

example [LE α] [Std.IsPreorder α]
    (a b c : α) : a ≤ b → b ≤ c → a ≤ c := by
  grind

example [LE α] [Std.IsPreorder α]
    (a b c d : α) : a ≤ b → b ≤ c → c ≤ d → a ≤ d := by
  grind
```

It also generalizes support for offset constraints in `grind` to rings.
The new module implements theory propagation and reduces the number of
case splits required to solve problems:

```lean
example [LE α] [LT α] [Std.LawfulOrderLT α] [Std.IsPreorder α] [Ring α] [OrderedRing α]
    (a b : α) : a ≤ 5 → b ≤ 8 → a > 6 ∨ b > 10 → False := by
  grind -linarith (splits := 0)

example [LE α] [LT α] [Std.LawfulOrderLT α] [Std.IsPreorder α] [CommRing α] [OrderedRing α]
    (a b c : α) : a + b*c + 2*c ≤ 5 → a + c > 5 - c - c*b → False := by
  grind -linarith (splits := 0)

example (a b : Int) (h : a + b > 5) : (if a + b ≤ 0 then b else a) = a := by
  grind -linarith -cutsat (splits := 0)
```

We still need to implement support for negated constraints.
2025-09-27 23:22:09 +00:00
Leonardo de Moura
0504e32bb7 feat: add addEdge to grind order (#10596)
This PR implements the function for adding new edges to the graph used
by `grind order`. The graph maintains the transitive closure of all
asserted constraints.
2025-09-27 18:18:41 +00:00
Mac Malone
fbfc7694a0 fix: only pass known CMake build types to Lake (#10595)
This PR ensures that Lake only receives recognized CMake build types
from CMake. This fixes an issue with #10581 which broke the
`RelWithAssert` build.
2025-09-27 17:47:15 +00:00
Leonardo de Moura
69b8b0098c feat: proofs for theory propagation in grind order (#10594)
This PR implements proof construction for theory propagation in `grind
order`.
2025-09-27 16:36:21 +00:00
Leonardo de Moura
69c8f13bf2 feat: proof construction for grind order (#10590)
This PR implements proof term construction for `grind order`.
2025-09-27 05:30:32 +00:00
Leonardo de Moura
39beb25f16 feat: helper theorems for grind order (#10589)
This PR adds helper theorems for implementing  `grind order`
2025-09-27 04:04:44 +00:00
Mac Malone
6d5efd79b9 chore: lake: restoreAllArtifacts / CMake build types in TOML schema (#10588)
This PR adds `restoreAllArtifacts` and the CMake build types to the Lake
TOML schema.

I forgot to do this in #10576 and #10578.
2025-09-27 03:38:22 +00:00
Mac Malone
b37d2ce2b9 chore: use CMake build type in Lake core build (#10581)
This PR alters the core build Lake configuration file to use the
`CMAKE_BUILD_TYPE` for Lake's `buildType`.
2025-09-27 03:38:12 +00:00
Mac Malone
18832eb600 fix: lake: ill-formed build output handling (#10586)
This PR makes Lake no longer error if build outputs found in a trace
file (or in the artifact cache) are ill-formed.

This is caused a problem with the CI cache and is just generally too
strict.
2025-09-27 03:35:57 +00:00
Mac Malone
05300f7b51 chore: restoreAllArtifacts = true for core (#10582)
This PR sets `restoreAllArtifacts = true` in the core build Lake
configuration file.
2025-09-27 03:30:21 +00:00
Leonardo de Moura
0bf7741a3e feat: multiple grind propagators per declaration (#10583)
This PR allows users to declare additional `grind` constraint
propagators for declarations that already include propagators in core.
2025-09-27 02:04:03 +00:00
Mac Malone
f80d6e7d38 refactor: lake: libPrefixOnWindows on libName (#10579)
This PR alters `libPrefixOnWindows` behavior to add the `lib` prefix to
the library's `libName` rather than just the file path. This means that
Lake's `-l` will now have the prefix on Windows. While this should not
matter to a MSYS2 build (which accepts both `lib`-prefixed and
unprefixed variants), it should ensure compatibility with MSVC (if that
is ever an issue).
2025-09-27 01:54:23 +00:00
Mac Malone
5b8d4d7210 chore: invalidate Lake CI cache (#10587)
This PR invalidates the CI cache for the Linux Lake build job by bumping
the version of the CI cache key.

The CI cache is broken due to a change in the output format in build
traces. This will be fixed in #10586, but this should prevent further
breakages of PRs in the meantime.
2025-09-27 01:11:23 +00:00
Lean stage0 autoupdater
db8c77a8fa chore: update stage0 2025-09-26 22:39:54 +00:00
Mac Malone
7ee3079afb feat: lake: CMake build types (#10578)
This PR adds support for the CMake spelling of a build type (i.e.,
capitalized) to Lake's `buildType` configuration option.
2025-09-26 21:06:12 +00:00
Mac Malone
c3d9d0d931 feat: lake: restoreAllArtifacts (#10576)
This PR adds a new package configuration option: `restoreAllArtifacts`.
When set to `true` and the Lake local artifact cache is enabled, Lake
will copy all cached artifacts into the build directory. This ensures
they are available for external consumers who expect build results to be
in the build directory.
2025-09-26 20:58:32 +00:00
Mac Malone
e98d7dd603 feat: lake: Reservoir-versioned dependencies (#10551)
This PR enables Reservoir packages to be required as dependencies at a
specific package version (i.e., the `version` specified in the package's
configuration file).
2025-09-26 20:52:54 +00:00
Mac Malone
6102f00322 chore: rm src/lake/lakefile.toml (#10580)
This file is essentially just for me and can cause problems with the
language server, so I have removed it from the committed code (and left
an ignored version on my own setup).
2025-09-26 20:51:02 +00:00
Sebastian Ullrich
646f2fabbf fix: allow meta decls in #eval (#10545) 2025-09-26 15:10:33 +00:00
Sebastian Ullrich
f4a0259344 chore: cleanups uncovered by Shake (#10572)
* Wrap proof subterms in `by exact` so dependencies can be demoted to
private `import`s
* Remove trivial instance re-definitions that may cause name collisions
on import changes
* Remove unused `open`s that may fail on import removals
2025-09-26 14:38:30 +00:00
Sebastian Graf
3f816156cc fix: immediately replace main goal in SPred proof mode tactics (#10571)
This PR ensures that `SPred` proof mode tactics such as `mspec`,
`mintro`, etc. immediately replace the main goal when entering the proof
mode. This prevents `No goals to be solved` errors.
2025-09-26 13:41:38 +00:00
Sebastian Ullrich
c92ec361cd chore: CommandElabM.liftCoreM should not reset InfoState.lazyAssignment (#10518)
Fixes #10408
2025-09-26 13:37:40 +00:00
Sebastian Ullrich
49cff79712 fix: privacy checks and import all (#10550)
This PR ensures private declarations are accessible from the private
scope iff they are local or imported through an `import all` chain,
including for anonymous notation and structure instance notation.
2025-09-26 13:26:10 +00:00
Sebastian Ullrich
2677ca8fb4 fix: import-merging theorems under the module system (#10556) 2025-09-26 13:02:51 +00:00
Sebastian Graf
78b09d5dcc feat: support case label like syntax in mvcgen invariants (#10570)
This PR adds support for case label like syntax in `mvcgen invariants`
in order to refer to inaccessible names. Example:

```lean
def copy (l : List Nat) : Id (Array Nat) := do
  let mut acc := #[]
  for x in l do
    acc := acc.push x
  return acc

theorem copy_labelled_invariants (l : List Nat) : ⦃⌜True⌝⦄ copy l ⦃⇓ r => ⌜r = l.toArray⌝⦄ := by
  mvcgen [copy] invariants
  | inv1 acc => ⇓ ⟨xs, letMuts⟩ => ⌜acc = l.toArray⌝
  with admit
```
2025-09-26 12:57:49 +00:00
Sebastian Ullrich
a164ae5073 chore: overhaul meta error messages (#10569) 2025-09-26 12:56:46 +00:00
Sebastian Ullrich
2c54386555 fix: Prop instances should be elaborated in the private scope (#10568) 2025-09-26 12:16:09 +00:00
Sebastian Graf
62fd973b28 fix: make getArg!' compute the correct arg index to access (#10567)
This PR fixes argument index calculation in `Lean.Expr.getArg!'`.
2025-09-26 11:54:49 +00:00
Sebastian Graf
71e09ca883 feat: concrete invariant? suggestions based on start and end (#10566)
This PR improves `mvcgen invariants?` to suggest concrete invariants
based on how invariants are used in VCs.
These suggestions are intentionally simplistic and boil down to "this
holds at the start of the loop and this must hold at the end of the
loop":

```lean
def mySum (l : List Nat) : Nat := Id.run do
  let mut acc := 0
  for x in l do
    acc := acc + x
  return acc

/--
info: Try this:
  invariants
    · ⇓⟨xs, letMuts⟩ => ⌜xs.prefix = [] ∧ letMuts = 0 ∨ xs.suffix = [] ∧ letMuts = l.sum⌝
-/
#guard_msgs (info) in
theorem mySum_suggest_invariant (l : List Nat) : mySum l = l.sum := by
  generalize h : mySum l = r
  apply Id.of_wp_run_eq h
  mvcgen invariants?
  all_goals admit
```

It still is the user's job to weaken this invariant such that it
interpolates over all loop iterations, but it *is* a good starting point
for iterating. It is also useful because the user does not need to
remember the exact syntax.
2025-09-26 11:37:14 +00:00
Kim Morrison
e6dd41255b feat: upstream ReduceEval instances from quote4 (#10563)
This PR moves some `ReduceEval` instances about basic types up from the
`quote4` library.
2025-09-26 04:02:55 +00:00
Leonardo de Moura
cfc46ac17f feat: internalization for grind order (#10562)
This PR simplifies the `grind order` module, and internalizes the order
constraints. It removes the `Offset` type class because it introduced
too much complexity. We now cover the same use cases with a simpler
approach:
- Any type that implements at least `Std.IsPreorder`
- Arbitrary ordered rings.
- `Nat` by the `Nat.ToInt` adapter.
2025-09-26 03:49:06 +00:00
Mac Malone
7c0868d562 refactor: lake: introduce LogConfig (#10468)
This PR refactors the Lake log monads to take a `LogConfig` structure
when run (rather than multiple arguments). This breaking change should
help minimize future breakages due to changes in configurations options.

In addition, the CLI logging monad stack has been polished up and
`LogIO` now supports the `failLv` configuration option.
2025-09-26 02:44:51 +00:00
Mac Malone
28fb4bb1b2 feat: lake cache (& remote cache support) (#10188)
This PR adds support for remote artifact caches (e.g., Reservoir) to
Lake. As part of this support, a new suite of `lake cache` CLI commands
has been introduced to help manage Lake's cache. Also, the existing
local cache support has been overhauled for better interplay with the
new remote support.

**Cache CLI**

Artifacts are uploaded to a remote cache via `lake cache put`. This
command takes a JSON Lines input-to-outputs file which describes the
output artifacts for a build (indexed by its input hash). This file can
be produced by a run of `lake build` with the new `-o` option. Lake will
write the input-to-outputs mappings of thee root package artifacts
traversed by the build to the file specified via `-o`. This file can
then be passed to `lake cache put` to upload both it and the built
artifacts from the local cache to the remote cache.

The remote cache service can be customized using the following
environment variables:

* `LAKE_CACHE_KEY`: This is the authorization key for the remote cache.
Lake uploads artifacts via `curl` using the AWS Signature Version 4
protocol, so this should be the S3 `<key>:<secret>` pair expected by
`curl`.

* `LAKE_CACHE_ARTIFACT_ENDPOINT`: This is the base URL to upload (or
download) artifacts to a given remote cache. Artifacts will be stored at
`<endpoint>/<scope/<content-hash>.art`.

* `LAKE_CACHE_REVISION_ENDPOINT`: This is the base URL to upload (or
download) input-to-output mappings to a given remote cache. Mappings are
indexed by the Git revision of the package, and are stored at
`<endpoint>/<scope/<rev>.jsonl`.

The `<scope>` is provided through the `--scope` option to `lake cache
put`. This option is used to prevent one package from overwriting the
artifacts/mappings of another. Lake artifact hashes and Git revisions
hashes are not cryptographically secure, so it is not safe for a service
to store untrusted files across packages in a single flat store.

Once artifacts are available in a remote cache, the `lake cache get`
command can be used to retrieve them. By default, it will fetch
artifacts for the root package's dependencies from Reservoir using its
API. But, like `cache put`, it can be configured to use a custom
endpoint with the above environment variables and an explicit `--scope`.
When so configured, `cache get` will instead download artifacts for the
root package. Lake only downloads artifacts for a single package in this
case, because it cannot deduce the necessary package scopes without
Reservoir.

**Significant local cache changes**

* Lake now always has a cache directory. If Lake cannot find a good
candidate directory on the system for the cache, it will instead store
the cache at `.lake/cache` within the workspace.

* If the local cache is disabled, Lake will not save built artifacts to
the cache. However, Lake will, nonetheless, always attempt to lookup
build artifacts in the cache. If found, the cached artifact will be
copied to the the build location ("restored").

* Input-to-outputs mappings in the local cache are no longer stored in a
single file for a package, but rather in individual files per input (in
the `outputs` subdirectory of the cache).

* Outputs in a trace file, outputs file, or mappings file are now an
`ArtifactDescr`, which is currently composed of both the content hash
and the file extension.

* Trace files now contain a date-based `schemaVersion` to help make
version to version migration easier. Hashes in JSON and in artifacts
names now use a 16-digit hexadecimal encoding (instead of a variable
decimal encoding).

* `buildArtifactUnlessUpToDate` now returns an `Artifact` instead of a
`FilePath`.

**NOTE:** The Lake local cache is still disabled by default. This means
that built artifacts, by default, will not be placed in the cache
directory, and thus will not be available for `lake cache put` to
upload. Users must first explicitly enable the cache by either setting
the `LAKE_ARTIFACT_CACHE` environment variable to a truthy value or by
setting the `enableArtifactCache` package configuration option to
`true`.
2025-09-26 01:13:43 +00:00
Robert J. Simmons
2231d9b488 feat: improve error messages for ambiguous 3.toDecmial syntax (#10488)
This PR changes the way that scientific numerals are parsed in order to
give better error messages for (invalid) syntax like `32.succ`.

Example:

```lean4
#check 32.succ
```

Before, the error message is:

```
unexpected identifier; expected command
```

This is because `32.` parses as a complete float, and `#check 32.`
parses as a complete command, so `succ` is being read as the start of a
new command.

With this change, the error message will move from the `succ` token to
the `32` token (which isn't totally ideal from my perspective) but gives
a less misleading error message and corresponding suggestion:

```
unexpected identifier after decimal point; consider parenthesizing the number
```
2025-09-26 01:12:10 +00:00
David Thrane Christiansen
e72bf59385 feat: more metadata for Verso docstrings (#10560)
This PR adds highlighted Lean code to Verso docstrings and fixes smaller
quality-of-life issues.
2025-09-25 23:51:51 +00:00
Mac Malone
343328b7df feat: lake: rename dependencies (#10452)
This PR refactors Lake's package naming procedure to allow packages to
be renamed by the consumer. With this, users can now require a package
using a different name than the one it was defined with.

This is support will be used in the future to enable seamlessly
including the same package at multiple different versions within the
same workspace.

In a Lake package configuration file written in Lean, the current
package's assigned name is now accessed through `__name__` instead of
the previous `_package.name`. A deprecation warning has been added to
`_package.name` to assist in migration.
2025-09-25 22:10:39 +00:00
Leonardo de Moura
5b9befcdbf feat: infrastructure for grind order (#10553)
This PR implements infrastructure for the new `grind order` module.
2025-09-25 17:53:43 +00:00
Alex Keizer
188ef680da chore: ensure pass refers to SpecResult.pass in GuardMsgs (#10539)
This PR adds a `.` in front of `pass` in the `#guard_msgs`
implementation.

Previously, the match arm read `| pass => ...`. Presumably, `pass` was
intended to mean `SpecResult.pass`, but, this isn't in scope, so instead
`pass` here is a catch-all variable. By adding a dot, we ensure we
actually refer to the constant. Note that this was the last case in the
pattern-match, and since all other constructors were correctly
referenced, the only case that went to the fallback was
`SpecResult.pass`, so the code did the right thing. Still, by fixing
this, we prevent a surprise in the event that a new `SpecResult`
constructor is added.
2025-09-25 13:50:46 +00:00
Henrik Böving
5fd8c1b94d feat: new String.Slice API (#10514)
This PR defines the new `String.Slice` API.

Many of the core design principles of the API are taken over from Rust's
[string
library](https://doc.rust-lang.org/stable/std/string/struct.String.html).
2025-09-25 12:18:52 +00:00
Sebastian Ullrich
5ef7b45afa doc: meta modifier (#10554) 2025-09-25 11:45:54 +00:00
Mario Carneiro
9f41f3324a fix: make Substring.beq reflexive (#10552)
This PR ensures that `Substring.beq` is reflexive, and in particular
satisfies the equivalence `ss1 == ss2 <-> ss1.toString = ss2.toString`.

Closes #10511.

Note: I also fixed a strange line in the `String.extract` documentation
which looks like it may have been a copypasta, and added another example
to show how invalid UTF8 positions work, but the doc also makes a point
of saying that it is unspecified so maybe it would be better not to have
the example? 🤷
2025-09-25 05:08:41 +00:00
Henrik Böving
055060990c fix: use _Exit in the language server (#10538)
This PR fixes deadlocking `exit` calls in the language server.

We have previously observed deadlocking calls to `exit` inside of the
language server and deemed them irrelevant. However, child processes of
these deadlocking exiting processes can continue to consume a large
amount of CPU as they try to compile a library etc. Hence, this PR
switches to the MT safe `_Exit` inside of the language server,
in order to ensure the server finishes when it is told to.
2025-09-24 14:44:16 +00:00
Sebastian Graf
4c44f4ef7c chore: add fixed test case for #9363 (#10547) 2025-09-24 14:32:08 +00:00
Markus Himmel
d6cd738ab4 feat: redefine String, part two (#10457)
This PR introduces safe alternatives to `String.Pos` and `Substring`
that can only represent valid positions/slices.

Specifically, the PR

- introduces the predicate `String.Pos.IsValid`;
- proves several nontrivial equivalent conditions for
`String.Pos.IsValid`;
- introduces `String.ValidPos`, which is a `String.Pos` with an
`IsValid` proof;
- introduces `String.Slice`, which is like `Substring` but made from
`String.ValidPos` instead of `Pos`;
- introduces `String.Pos.IsValidForSlice`, which is like
`String.Pos.IsValid` but for slices;
- introduces `String.Slice.Pos`, which is like `String.ValidPos` but for
slices;
- introduces various functions for converting between the two types of
positions.

The API added in this PR is not complete. It will be expanded in future
PRs with addional operations and verification.
2025-09-24 13:36:55 +00:00
Markus Himmel
68409ef6fd chore: turn some crashes into errors (#8402)
This PR prevents some nonsensical code from crashing the server.

Specifically, the kernel is changed to
- properly check that passed expressions do not contain loose bvars,
which could lead to a segmentation fault on a well-crafted input
(discovered through fuzzing), and
- check that constants generated when creating a new inductive type do
not overwrite each other, which could lead to the kernel taking
something out of the environment and then casting it to something it
isn't.

Partially addresses #8258, but let's keep that one open until the error
message is a little better.

Fixes #10492.
2025-09-24 13:04:18 +00:00
Joachim Breitner
ca1101dddd feat: #print T.rec to show more information (#10543)
This PR lets `#print T.rec` show more information about a recursor, in
particular it's reduction rules.
2025-09-24 12:22:00 +00:00
Sebastian Graf
ce7a4f50be chore: add spec lemmas for MonadControl (#10544) 2025-09-24 12:16:06 +00:00
Sebastian Graf
eb9dd9a9e3 chore: add some missing spec lemmas (#10540) 2025-09-24 12:08:12 +00:00
Markus Himmel
b6198434f2 fix: String regressions (#10523)
This PR fixes some regressions introduced by #10304.
2025-09-24 12:01:50 +00:00
Joachim Breitner
1374445081 chore: update bench/riskv-ast.lean (#10505)
This PR disables `trace.profiler` in `bench/riskv-ast.lean`. We don't
want to optimize the trace profiler, but normal code.

While at it, I removed the `#exit` to cover more of the file.

While at it, also import the latest from from upstream.
2025-09-24 11:46:26 +00:00
Joachim Breitner
9df345e322 fix: .congr_simp for non-defs (#10508)
This PR allows `.congr_simp` theorems to be created not just for
definitoins, but any constant. This is important to make the machinery
work across module boundaries.

It also moves the `enableRealizationsForConst` for constructors to a
more sensible
place, and enables it for axioms.
2025-09-24 11:45:49 +00:00
Kim Morrison
3b2705d0df feat: helper functions for premise selection API (#10512)
This PR adds some helper functions for the premise selection API, to
assist implementers.

---------

Co-authored-by: Thomas Zhu <thomas.zhu.sh@hotmail.com>
2025-09-24 11:45:40 +00:00
Sebastian Ullrich
44a2b085c4 feat: scripts/Modulize.lean (#10460)
This PR introduces a simple script that adjusts module headers in a
package for use of the module system, without further minimizing import
or annotation use.

---------

Co-authored-by: Kim Morrison <477956+kim-em@users.noreply.github.com>
2025-09-24 11:40:17 +00:00
Joachim Breitner
7f18c734eb fix: simpHaveTelescope: calculate used fvars transitiviely (#10536)
This PR fixes `simp` in `-zeta -zetaUnused` mode from producing
incorrect proofs if in a `have` telescope a variable occurrs in the
type of the body only transitively. Fixes #10353.
2025-09-24 11:30:09 +00:00
Sebastian Ullrich
ac6ae51bce chore: minor module system fixes from batteries port (#10496) 2025-09-24 08:59:23 +00:00
Lean stage0 autoupdater
fd4a8c5407 chore: update stage0 2025-09-24 08:23:57 +00:00
Henrik Böving
2e5bbf4596 fix: #guard should work with the module system (#10535)
This PR ensures that `#guard` can be called under the module system
without issues.
2025-09-24 07:38:10 +00:00
David Thrane Christiansen
00b74e02cd feat: docstring role for module names, plus improved suggestions (#10533)
This PR adds a docstring role for module names, called `module`. It also
improves the suggestions provided for code elements, making them more
relevant and proposing `lit`.
2025-09-24 07:32:27 +00:00
Marc Huisinga
90db9ef006 feat: unknown identifier code actions for auto-implicits (#10442)
This PR ensures that unknown identifier code actions are provided on
auto-implicits.

Closes #8837.
2025-09-24 07:28:06 +00:00
Kim Morrison
3ddda9ae4d chore: adjust List.countP grind annotations (#10532) 2025-09-24 07:07:11 +00:00
Kim Morrison
ac0b82933f chore: add variant of Rat.ofScientific_def for grind (#10534) 2025-09-24 06:37:46 +00:00
Kim Morrison
d8219a37ef feat: grind linarith synthesis issues explain changes in behaviour (#10448)
This PR modifies the "issues" grind diagnostics prints. Previously we
would just describe synthesis failures. These messages were confusing to
users, as in fact the linarith module continues to work, but less
capably. For most of the issues, we now explain the resulting change in
behaviour. There is a still a TODO to explain the change when
`IsOrderedRing` is not available.
2025-09-24 04:02:35 +00:00
thorimur
7ea7acc687 chore: lower monad of addSuggestion(s) to CoreM (#10526) 2025-09-24 03:35:34 +00:00
Sofia Rodrigues
161a1c06a2 feat: add Std.Notify type (#10368)
This PR adds `Notify` that is a structure that is similar to `CondVar`
but it's used for concurrency. The main difference between
`Std.Sync.Notify` and `Std.Condvar` is that depends on a `Std.Mutex` and
blocks the entire thread that the `Task` is using while waiting. If I
try to use it with async and a lot of `Task`s like this:

```lean
def condvar : Async Unit := do
  let condvar ← Std.Condvar.new
  let mutex ← Std.Mutex.new false

  for i in [0:threads] do
    background do
      IO.println s!"start {i + 1}"
      await =<< (show IO (ETask _ _) from IO.asTask (mutex.atomically (condvar.wait mutex)))
      IO.println s!"end {i + 1}"

  IO.sleep 2000
  condvar.notifyAll
```

It causes some weird behavior because some tasks start running and get
notified, while others don’t, because `condvar.wait` blocks the `Task`
entire task and right now afaik it blocks an entire thread and cannot be
paused while doing blocking operations like that.

`Notify` uses `Promise`s so it’s better suited for concurrency. The
`Task` is not blocked while waiting for a notification which makes it
simpler for use cases that just involve notifying:

```lean
def notify : Async Unit := do
  let notify ← Std.Notify.new

  for i in [0:threads] do
    background do
      IO.println s!"start {i}"
      notify.wait
      IO.println s!"end {i}"

  IO.sleep 2000
  notify.notify
```

This PR depends on: #10366, #10367 and #10370.
2025-09-24 03:35:08 +00:00
Kim Morrison
781e3c6add chore: remove unhelpful grind annotations (#10435)
This PR removes some `grind` annotations for `Array.attach` and related
functions. These lemmas introduce lambda on the right hand side which
`grind` can't do much with. I've added a test file that verifies that
the theorems with removed annotations can actually be proved already by
grind. Removing the annotations will help with excessive instantiation.
2025-09-24 03:02:46 +00:00
Leonardo de Moura
b73b8a7edf feat: helper ordered ring theorems (#10529)
This PR adds some helper theorems for the upcoming `grind order` solver.
2025-09-24 03:01:19 +00:00
Sofia Rodrigues
94e5b66dfe feat: add AsyncStream, AsyncWrite and AsyncRead type classes (#10370)
This PR adds async type classes for streams.
2025-09-23 23:30:33 +00:00
Joachim Breitner
8443600762 chore: assert hasLooseBVar before shifting (#10528)
This assumptions seems to be violated in #10353, so maybe worth
asserting it here to more quickly stumble over it.
2025-09-23 20:49:04 +00:00
Garmelon
8b64425033 chore: set temci tags for the radar bench script (#10527)
The radar bench scripts at
https://github.com/leanprover/radar-bench-lean4/ split up the benchmarks
between the two runners based on the tags: One runner filters by the tag
`stdlib` while the other filters by the tag `other`. Only benchmarks
using one of these tags will be run, and any benchmark tagged with both
will waste electricity.

As far as I know, the tags are unused otherwise, so I just replaced all
the old tags.
2025-09-23 19:51:10 +00:00
David Thrane Christiansen
d96fd949ff fix: invalid docstring suggestions for attributes (#10522)
This also exposed an issue with `#guard_msgs` in Verso mode where the
docstring would log parse errors as if it contained Verso, even though
it actually worked. This has been fixed, and error messages improved as
well.
2025-09-23 16:18:21 +00:00
Sebastian Ullrich
d33aece210 feat: list definitions in defeq problems that could not be unfolded for lack of @[expose] (#10158)
This PR adds information about definitions blocked from unfolding via
the module system to type defeq errors.
2025-09-23 16:13:39 +00:00
Sebastian Graf
9a7bab5f90 chore: add documentation for mvcgen related definitions (#10525) 2025-09-23 15:59:58 +00:00
Kim Morrison
e2f87ed215 chore: lemma for unfolding eraseIdxIfInBounds (#10520) 2025-09-23 13:08:41 +00:00
Tom Levy
e42892cfb6 doc: fix comment about String.fromUTF8 replacing invalid chars (#10240)
Hi, the doc of `String.fromUTF8` previously said invalid characters are
replaced with 'A'. But the parameter `h : validateUTF8 a` guarantees
there are no invalid characters, so that explanation doesn't make sense
to me. This PR deletes that explanation (and fixes some unrelated
typos).

I also have a patch that uses `h` to prove each of the characters is
valid, eliminating the need for a default character
([pr/chore-String-fromUTF8-prove-valid](27f1ff36b2)),
would you be interested in merging that?

<details>
<summary>Notes on invalid characters from unchecked C++</summary>
I don't know if this function may be called from unchecked C++ with
invalid characters. If it may, I'm not sure what would happen with my
patched function... I'm not familiar with Lean's safety model, but it
seems like a bad idea to have a Lean function that takes a proof of a
proposition but is expected to operate in a certain way even if the
proposition is false. I think the safe approach is to have two functions
-- one that takes a proof and is only called from Lean, and another that
doesn't take a proof and replaces invalid chars (for use from C++, not
sure whether it's useful from Lean); I'd prefer to go even further and
report an error instead of silently replacing invalid characters (I'm
not sure if there is any easy way to report errors/panic in Lean code
called from C++).
</details>
2025-09-23 10:19:20 +00:00
Sebastian Ullrich
cc5c070328 fix: inline/specialize may only refer to publicly imported decls for now (#10494)
This PR resolves a potential bad interaction between the compiler and
the module system where references to declarations not imported are
brought into scope by inlining or specializing. We now proactively check
that declarations to be inlined/specialized only reference public
imports. The intention is to later resolve this limitation by moving out
compilation into a separate build step with its own import/incremental
system.
2025-09-23 09:58:14 +00:00
David Thrane Christiansen
f122454ef6 chore: cleanup and better docs for #10479 (#10504)
This PR cleans up a half-reverted refactor and adds documentation to
#10479.
2025-09-23 09:02:07 +00:00
Sebastian Graf
02f482129a fix: Use @[tactic_alt] for bv_decide, mvcgen and similar tactics (#10506)
This PR annotates the shadowing main definitions of `bv_decide`,
`mvcgen` and similar tactics in `Std` with the semantically richer
`tactic_alt` attribute so that `verso` will not warn about overloads.

This fixes leanprover/verso#535.
2025-09-23 07:40:02 +00:00
Kim Morrison
0807f73171 feat: basic premise selection algorithm based on MePo (#7844)
This PR adds a simple implementation of MePo, from "Lightweight
relevance filtering for machine-generated resolution problems" by Meng
and Paulson.

This needs tuning, but is already useful as a baseline or test case.

---------

Co-authored-by: Thomas Zhu <thomas.zhu.sh@hotmail.com>
2025-09-23 06:40:22 +00:00
Lean stage0 autoupdater
27fa5b0bb5 chore: update stage0 2025-09-23 06:22:49 +00:00
Alex Meiburg
8f9966ba74 doc: fix to new name for "Associative" in ac_rfl / ac_nf docstring (#10458)
This PR fixes the docstring for ac_rfl and ac_nf to correctly refer to
`Std.Associative` instead of the old name `Associative`; ditto
`Commutative`.
2025-09-23 05:52:05 +00:00
Sofia Rodrigues
eabd7309b7 feat: add vectored write and fix rc issue in tcp and udp cancel function (#10487)
This PR adds vectored write and fix rc issues in tcp and udp cancel
functions.
2025-09-22 17:02:57 +00:00
Sebastian Graf
795d13ddce feat: account for tactic_alt in missing docs linter (#10507)
This PR makes the missing docs linter aware of `tactic_alt`.
2025-09-22 16:23:24 +00:00
Kim Morrison
2b23afdfab chore: remove >6 month old deprecations (#10446) 2025-09-22 12:47:11 +00:00
Kim Morrison
20b0bd0a20 chore: upstream rangeOfStx? from Batteries (#10490)
This PR upstreams a helper function that is used in ProofWidgets.

---------

Co-authored-by: Marc Huisinga <mhuisi@protonmail.com>
2025-09-22 12:21:14 +00:00
Kim Morrison
979c2b4af0 chore: add grind annotations for List.not_mem_nil (#10493) 2025-09-22 12:18:03 +00:00
Kim Morrison
b3cd5999e7 chore: normalize empty ByteArrays to .empty (#10501) 2025-09-22 12:06:29 +00:00
Kim Morrison
a4dcb25f69 chore: add limited public API for builtinRpcProcedures (#10499)
This is not a complete public API, just enough to avoid an `open
private` in ProofWidgets.
2025-09-22 11:20:25 +00:00
Henrik Böving
85ce814689 fix: constant folding for UIntX (#10495)
This PR fixes constant folding for UIntX in the code generator. This
optimization was previously simply dead code due to the way that uint
literals are encoded.
2025-09-22 10:06:24 +00:00
3938 changed files with 40338 additions and 9604 deletions

View File

@@ -12,7 +12,7 @@ jobs:
- name: Check awaiting-manual label
id: check-awaiting-manual-label
if: github.event_name == 'pull_request'
uses: actions/github-script@v7
uses: actions/github-script@v8
with:
script: |
const { labels, number: prNumber } = context.payload.pull_request;

View File

@@ -12,7 +12,7 @@ jobs:
- name: Check awaiting-mathlib label
id: check-awaiting-mathlib-label
if: github.event_name == 'pull_request'
uses: actions/github-script@v7
uses: actions/github-script@v8
with:
script: |
const { labels, number: prNumber } = context.payload.pull_request;

View File

@@ -116,10 +116,10 @@ jobs:
build/stage1/**/*.ir
build/stage1/**/*.c
build/stage1/**/*.c.o*' || '' }}
key: ${{ matrix.name }}-build-v3-${{ github.sha }}
key: ${{ matrix.name }}-build-v4-${{ github.sha }}
# fall back to (latest) previous cache
restore-keys: |
${{ matrix.name }}-build-v3
${{ matrix.name }}-build-v4
# open nix-shell once for initial setup
- name: Setup
run: |

View File

@@ -31,7 +31,7 @@ jobs:
- if: github.event_name == 'pull_request'
name: Set label
uses: actions/github-script@v7
uses: actions/github-script@v8
with:
script: |
const { owner, repo, number: issue_number } = context.issue;

View File

@@ -137,7 +137,7 @@ jobs:
- name: Configure build matrix
id: set-matrix
uses: actions/github-script@v7
uses: actions/github-script@v8
with:
script: |
const level = ${{ steps.set-level.outputs.check-level }};
@@ -213,7 +213,7 @@ jobs:
},*/
{
"name": "macOS",
"os": "macos-13",
"os": "macos-15-intel",
"release": true,
"check-level": 2,
"shell": "bash -euxo pipefail {0}",
@@ -226,7 +226,7 @@ jobs:
{
"name": "macOS aarch64",
// standard GH runner only comes with 7GB so use large runner if possible when running tests
"os": large && !isPr ? "nscloud-macos-sonoma-arm64-6x14" : "macos-14",
"os": large && !isPr ? "nscloud-macos-sequoia-arm64-6x14" : "macos-15",
"CMAKE_OPTIONS": "-DLEAN_INSTALL_SUFFIX=-darwin_aarch64",
"release": true,
"shell": "bash -euxo pipefail {0}",
@@ -350,7 +350,7 @@ jobs:
content: |
A build of `${{ github.ref_name }}`, triggered by event `${{ github.event_name }}`, [failed](https://github.com/${{ github.repository }}/actions/runs/${{ github.run_id }}).
- if: contains(needs.*.result, 'failure')
uses: actions/github-script@v7
uses: actions/github-script@v8
with:
script: |
core.setFailed('Some jobs failed')
@@ -367,7 +367,7 @@ jobs:
with:
path: artifacts
- name: Release
uses: softprops/action-gh-release@72f2c25fcb47643c292f7107632f7a47c1df5cd8
uses: softprops/action-gh-release@6cbd405e2c4e67a21c47fa9e383d020e4e28b836
with:
files: artifacts/*/*
fail_on_unmatched_files: true
@@ -411,7 +411,7 @@ jobs:
echo -e "\n*Full commit log*\n" >> diff.md
git log --oneline "$last_tag"..HEAD | sed 's/^/* /' >> diff.md
- name: Release Nightly
uses: softprops/action-gh-release@72f2c25fcb47643c292f7107632f7a47c1df5cd8
uses: softprops/action-gh-release@6cbd405e2c4e67a21c47fa9e383d020e4e28b836
with:
body_path: diff.md
prerelease: true

View File

@@ -110,7 +110,7 @@ jobs:
# material.
- id: deploy-alias
if: ${{ steps.should-run.outputs.should-run == 'true' }}
uses: actions/github-script@v7
uses: actions/github-script@v8
name: Compute Alias
with:
result-encoding: string

View File

@@ -17,7 +17,7 @@ jobs:
steps:
- name: Add label based on comment
uses: actions/github-script@v7
uses: actions/github-script@v8
with:
github-token: ${{ secrets.GITHUB_TOKEN }}
script: |

View File

@@ -11,7 +11,7 @@ jobs:
steps:
- name: Check PR body
if: github.event_name == 'pull_request'
uses: actions/github-script@v7
uses: actions/github-script@v8
with:
script: |
const { title, body, labels, draft } = context.payload.pull_request;

View File

@@ -71,7 +71,7 @@ jobs:
GH_TOKEN: ${{ secrets.PR_RELEASES_TOKEN }}
- name: Release (short format)
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
uses: softprops/action-gh-release@72f2c25fcb47643c292f7107632f7a47c1df5cd8
uses: softprops/action-gh-release@6cbd405e2c4e67a21c47fa9e383d020e4e28b836
with:
name: Release for PR ${{ steps.workflow-info.outputs.pullRequestNumber }}
# There are coredumps files here as well, but all in deeper subdirectories.
@@ -86,7 +86,7 @@ jobs:
- name: Release (SHA-suffixed format)
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
uses: softprops/action-gh-release@72f2c25fcb47643c292f7107632f7a47c1df5cd8
uses: softprops/action-gh-release@6cbd405e2c4e67a21c47fa9e383d020e4e28b836
with:
name: Release for PR ${{ steps.workflow-info.outputs.pullRequestNumber }} (${{ steps.workflow-info.outputs.sourceHeadSha }})
# There are coredumps files here as well, but all in deeper subdirectories.
@@ -101,7 +101,7 @@ jobs:
- name: Report release status (short format)
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
uses: actions/github-script@v7
uses: actions/github-script@v8
with:
script: |
await github.rest.repos.createCommitStatus({
@@ -115,7 +115,7 @@ jobs:
- name: Report release status (SHA-suffixed format)
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
uses: actions/github-script@v7
uses: actions/github-script@v8
with:
script: |
await github.rest.repos.createCommitStatus({
@@ -129,7 +129,7 @@ jobs:
- name: Add label
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
uses: actions/github-script@v7
uses: actions/github-script@v8
with:
script: |
await github.rest.issues.addLabels({
@@ -368,7 +368,7 @@ jobs:
- name: Report mathlib base
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' && steps.ready.outputs.mathlib_ready == 'true' }}
uses: actions/github-script@v7
uses: actions/github-script@v8
with:
script: |
const description =

View File

@@ -10,7 +10,7 @@ jobs:
runs-on: ubuntu-latest
steps:
- name: Check PR title
uses: actions/github-script@v7
uses: actions/github-script@v8
with:
script: |
const msg = context.payload.pull_request? context.payload.pull_request.title : context.payload.merge_group.head_commit.message;

View File

@@ -11,7 +11,7 @@ jobs:
stale:
runs-on: ubuntu-latest
steps:
- uses: actions/stale@v9
- uses: actions/stale@v10
with:
days-before-stale: -1
days-before-pr-stale: 30

View File

@@ -69,10 +69,10 @@ jobs:
build/stage1/**/*.ir
build/stage1/**/*.c
build/stage1/**/*.c.o*
key: Linux Lake-build-v3-${{ github.sha }}
key: Linux Lake-build-v4-${{ github.sha }}
# fall back to (latest) previous cache
restore-keys: |
Linux Lake-build-v3
Linux Lake-build-v4
- if: env.should_update_stage0 == 'yes'
# sync options with `Linux Lake` to ensure cache reuse
run: |

View File

@@ -59,7 +59,7 @@ All these tests are included by [src/shell/CMakeLists.txt](https://github.com/le
open Foo in
theorem tst2 (h : a ≤ b) : a + 2 ≤ b + 2 :=
Bla.
--^ textDocument/completion
--^ completion
```
In this example, the test driver [`test_single.sh`](https://github.com/leanprover/lean4/tree/master/tests/lean/interactive/test_single.sh) will simulate an
auto-completion request at `Bla.`. The expected output is stored in

View File

@@ -25,6 +25,7 @@
} ({
buildInputs = with pkgs; [
cmake gmp libuv ccache pkg-config
llvmPackages.bintools # wrapped lld
llvmPackages.llvm # llvm-symbolizer for asan/lsan
gdb
tree # for CI

View File

@@ -8,6 +8,9 @@
},
{
"path": "tests"
},
{
"path": "script"
}
],
"settings": {

75
script/Modulize.lean Normal file
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@@ -0,0 +1,75 @@
import Lake.CLI.Main
/-!
Usage: `lean --run script/Modulize.lean [--meta] file1.lean file2.lean ...`
A simple script that inserts `module` and `public section` into un-modulized files and
bumps their imports to `public`.
When `--meta` is passed, `public meta section` and `public meta import` is used instead.
-/
open Lean Parser.Module
def main (args : List String) : IO Unit := do
let mut args := args
let mut doMeta := false
while !args.isEmpty && args[0]!.startsWith "-" do
match args[0]! with
| "--meta" => doMeta := true
| arg => throw <| .userError s!"unknown flag '{arg}'"
args := args.tail
for path in args do
-- Parse the input file
let mut text IO.FS.readFile path
let inputCtx := Parser.mkInputContext text path
let (header, parserState, msgs) Parser.parseHeader inputCtx
if !msgs.toList.isEmpty then -- skip this file if there are parse errors
msgs.forM fun msg => msg.toString >>= IO.println
throw <| .userError "parse errors in file"
let `(header| $[module%$moduleTk?]? $imps:import*) := header
| throw <| .userError s!"unexpected header syntax of {path}"
if moduleTk?.isSome then
continue
-- initial whitespace if empty header
let startPos := header.raw.getPos? |>.getD parserState.pos
let dummyEnv mkEmptyEnvironment
let (initCmd, parserState', _) :=
Parser.parseCommand inputCtx { env := dummyEnv, options := {} } parserState msgs
-- insert section if any trailing command
if !initCmd.isOfKind ``Parser.Command.eoi then
let insertPos? :=
-- put below initial module docstring if any
guard (initCmd.isOfKind ``Parser.Command.moduleDoc) *> initCmd.getTailPos? <|>
-- else below header
header.raw.getTailPos?
let insertPos := insertPos?.getD startPos -- empty header
let mut sec := if doMeta then
"public meta section"
else
"@[expose] public section"
if !imps.isEmpty then
sec := "\n\n" ++ sec
if insertPos?.isNone then
sec := sec ++ "\n\n"
text := text.extract 0 insertPos ++ sec ++ text.extract insertPos text.endPos
-- prepend each import with `public `
for imp in imps.reverse do
let insertPos := imp.raw.getPos?.get!
let prfx := if doMeta then "public meta " else "public "
text := text.extract 0 insertPos ++ prfx ++ text.extract insertPos text.endPos
-- insert `module` header
let mut initText := text.extract 0 startPos
if !initText.trim.isEmpty then
-- If there is a header comment, preserve it and put `module` in the line after
initText := initText.trimRight ++ "\n"
text := initText ++ "module\n\n" ++ text.extract startPos text.endPos
IO.FS.writeFile path text

584
script/Shake.lean Normal file
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@@ -0,0 +1,584 @@
/-
Copyright (c) 2023 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Sebastian Ullrich
-/
import Lake.CLI.Main
import Lean.ExtraModUses
/-! # `lake exe shake` command
This command will check the current project (or a specified target module) and all dependencies for
unused imports. This works by looking at generated `.olean` files to deduce required imports and
ensuring that every import is used to contribute some constant or other elaboration dependency
recorded by `recordExtraModUse`. Because recompilation is not needed this is quite fast (about 8
seconds to check `Mathlib` and all dependencies).
-/
/-- help string for the command line interface -/
def help : String := "Lean project tree shaking tool
Usage: lake exe shake [OPTIONS] <MODULE>..
Arguments:
<MODULE>
A module path like `Mathlib`. All files transitively reachable from the
provided module(s) will be checked.
Options:
--force
Skips the `lake build --no-build` sanity check
--fix
Apply the suggested fixes directly. Make sure you have a clean checkout
before running this, so you can review the changes.
"
open Lean
/-- We use `Nat` as a bitset for doing efficient set operations.
The bit indexes will usually be a module index. -/
structure Bitset where
toNat : Nat
deriving Inhabited, DecidableEq, Repr
namespace Bitset
instance : EmptyCollection Bitset where
emptyCollection := { toNat := 0 }
instance : Insert Nat Bitset where
insert i s := { toNat := s.toNat ||| (1 <<< i) }
instance : Singleton Nat Bitset where
singleton i := insert i
instance : Inter Bitset where
inter a b := { toNat := a.toNat &&& b.toNat }
instance : Union Bitset where
union a b := { toNat := a.toNat ||| b.toNat }
instance : XorOp Bitset where
xor a b := { toNat := a.toNat ^^^ b.toNat }
def has (s : Bitset) (i : Nat) : Bool := s {i}
end Bitset
/-- The kind of a module dependency, corresponding to the homonymous `ExtraModUse` fields. -/
structure NeedsKind where
isExported : Bool
isMeta : Bool
deriving Inhabited, BEq, Repr, Hashable
namespace NeedsKind
@[match_pattern] abbrev priv : NeedsKind := { isExported := false, isMeta := false }
@[match_pattern] abbrev pub : NeedsKind := { isExported := true, isMeta := false }
@[match_pattern] abbrev metaPriv : NeedsKind := { isExported := false, isMeta := true }
@[match_pattern] abbrev metaPub : NeedsKind := { isExported := true, isMeta := true }
def all : Array NeedsKind := #[pub, priv, metaPub, metaPriv]
def ofImport : Lean.Import NeedsKind
| { isExported := true, isMeta := true, .. } => .metaPub
| { isExported := true, isMeta := false, .. } => .pub
| { isExported := false, isMeta := true, .. } => .metaPriv
| { isExported := false, isMeta := false, .. } => .priv
end NeedsKind
/-- Logically, a map `NeedsKind → Bitset`. -/
structure Needs where
pub : Bitset
priv : Bitset
metaPub : Bitset
metaPriv : Bitset
deriving Inhabited, Repr
def Needs.empty : Needs := default
def Needs.get (needs : Needs) (k : NeedsKind) : Bitset :=
match k with
| .pub => needs.pub
| .priv => needs.priv
| .metaPub => needs.metaPub
| .metaPriv => needs.metaPriv
def Needs.has (needs : Needs) (k : NeedsKind) (i : ModuleIdx) : Bool :=
needs.get k |>.has i
def Needs.set (needs : Needs) (k : NeedsKind) (s : Bitset) : Needs :=
match k with
| .pub => { needs with pub := s }
| .priv => { needs with priv := s }
| .metaPub => { needs with metaPub := s }
| .metaPriv => { needs with metaPriv := s }
def Needs.modify (needs : Needs) (k : NeedsKind) (f : Bitset Bitset) : Needs :=
needs.set k (f (needs.get k))
def Needs.union (needs : Needs) (k : NeedsKind) (s : Bitset) : Needs :=
needs.modify k (· s)
def Needs.sub (needs : Needs) (k : NeedsKind) (s : Bitset) : Needs :=
needs.modify k (fun s' => s' ^^^ (s' s))
/-- The main state of the checker, containing information on all loaded modules. -/
structure State where
env : Environment
/--
`transDeps[i]` is the (non-reflexive) transitive closure of `mods[i].imports`. More specifically,
* `j ∈ transDeps[i].pub` if `i -(public import)->+ j`
* `j ∈ transDeps[i].priv` if `i -(import ...)-> _ -(public import)->* j`
* `j ∈ transDeps[i].priv` if `i -(import all)->+ -(public import ...)-> _ -(public import)->* j`
* `j ∈ transDeps[i].metaPub` if `i -(public (meta)? import)->* _ -(public meta import)-> _ -(public (meta)? import ...)->* j`
* `j ∈ transDeps[i].metaPriv` if `i -(meta import ...)-> _ -(public (meta)? import ...)->* j`
* `j ∈ transDeps[i].metaPriv` if `i -(import all)->+ -(public meta import ...)-> _ -(public (meta)? import ...)->* j`
-/
transDeps : Array Needs := #[]
/--
`transDepsOrig` is the initial value of `transDeps` before changes potentially resulting from
changes to upstream headers.
-/
transDepsOrig : Array Needs := #[]
def State.mods (s : State) := s.env.header.moduleData
def State.modNames (s : State) := s.env.header.moduleNames
/--
Given module `j`'s transitive dependencies, computes the union of `transImps` and the transitive
dependencies resulting from importing the module via `imp` according to the rules of
`State.transDeps`.
-/
def addTransitiveImps (transImps : Needs) (imp : Import) (j : Nat) (impTransImps : Needs) : Needs := Id.run do
let mut transImps := transImps
-- `j ∈ transDeps[i].pub` if `i -(public import)->+ j`
if imp.isExported && !imp.isMeta then
transImps := transImps.union .pub {j} |>.union .pub (impTransImps.get .pub)
if !imp.isExported && !imp.isMeta then
-- `j ∈ transDeps[i].priv` if `i -(import ...)-> _ -(public import)->* j`
transImps := transImps.union .priv {j} |>.union .priv (impTransImps.get .pub)
if imp.importAll then
-- `j ∈ transDeps[i].priv` if `i -(import all)->+ -(public import ...)-> _ -(public import)->* j`
transImps := transImps.union .priv (impTransImps.get .pub)
-- `j ∈ transDeps[i].metaPub` if `i -(public (meta)? import)->* _ -(public meta import)-> _ -(public (meta)? import ...)->* j`
if imp.isExported then
transImps := transImps.union .metaPub (impTransImps.get .metaPub)
if imp.isMeta then
transImps := transImps.union .metaPub {j} |>.union .metaPub (impTransImps.get .pub impTransImps.get .metaPub)
if !imp.isExported then
if imp.isMeta then
-- `j ∈ transDeps[i].metaPriv` if `i -(meta import ...)-> _ -(public (meta)? import ...)->* j`
transImps := transImps.union .metaPriv {j} |>.union .metaPriv (impTransImps.get .pub impTransImps.get .metaPub)
if imp.importAll then
-- `j ∈ transDeps[i].metaPriv` if `i -(import all)->+ -(public meta import ...)-> _ -(public (meta)? import ...)->* j`
transImps := transImps.union .metaPriv (impTransImps.get .metaPub)
transImps
/-- Calculates the needs for a given module `mod` from constants and recorded extra uses. -/
def calcNeeds (env : Environment) (i : ModuleIdx) : Needs := Id.run do
let mut needs := default
for ci in env.header.moduleData[i]!.constants do
let pubCI? := env.setExporting true |>.find? ci.name
let k := { isExported := pubCI?.isSome, isMeta := isMeta env ci.name }
needs := visitExpr k ci.type needs
if let some e := ci.value? (allowOpaque := true) then
-- type and value has identical visibility under `meta`
let k := if k.isMeta then k else
if pubCI?.any (·.hasValue (allowOpaque := true)) then .pub else .priv
needs := visitExpr k e needs
for use in getExtraModUses env i do
let j := env.getModuleIdx? use.module |>.get!
needs := needs.union { use with } {j}
return needs
where
/-- Accumulate the results from expression `e` into `deps`. -/
visitExpr (k : NeedsKind) e deps :=
Lean.Expr.foldConsts e deps fun c deps => match env.getModuleIdxFor? c with
| some j =>
let k := { k with isMeta := k.isMeta && !isMeta env c }
if j != i then deps.union k {j} else deps
| _ => deps
/--
Calculates the same as `calcNeeds` but tracing each module to a use-def declaration pair or
`none` if merely a recorded extra use.
-/
def getExplanations (env : Environment) (i : ModuleIdx) :
Std.HashMap (ModuleIdx × NeedsKind) (Option (Name × Name)) := Id.run do
let mut deps := default
for ci in env.header.moduleData[i]!.constants do
let pubCI? := env.setExporting true |>.find? ci.name
let k := { isExported := pubCI?.isSome, isMeta := isMeta env ci.name }
deps := visitExpr k ci.name ci.type deps
if let some e := ci.value? (allowOpaque := true) then
let k := if k.isMeta then k else
if pubCI?.any (·.hasValue (allowOpaque := true)) then .pub else .priv
deps := visitExpr k ci.name e deps
for use in getExtraModUses env i do
let j := env.getModuleIdx? use.module |>.get!
if !deps.contains (j, { use with }) then
deps := deps.insert (j, { use with }) none
return deps
where
/-- Accumulate the results from expression `e` into `deps`. -/
visitExpr (k : NeedsKind) name e deps :=
Lean.Expr.foldConsts e deps fun c deps => match env.getModuleIdxFor? c with
| some i =>
let k := { k with isMeta := k.isMeta && !isMeta env c }
if
if let some (some (name', _)) := deps[(i, k)]? then
decide (name.toString.length < name'.toString.length)
else true
then
deps.insert (i, k) (name, c)
else
deps
| _ => deps
partial def initStateFromEnv (env : Environment) : State := Id.run do
let mut s := { env }
for i in 0...env.header.moduleData.size do
let mod := env.header.moduleData[i]!
let mut imps := #[]
let mut transImps := Needs.empty
for imp in mod.imports do
let j := env.getModuleIdx? imp.module |>.get!
imps := imps.push j
transImps := addTransitiveImps transImps imp j s.transDeps[j]!
s := { s with transDeps := s.transDeps.push transImps }
s := { s with transDepsOrig := s.transDeps }
return s
/-- The list of edits that will be applied in `--fix`. `edits[i] = (removed, added)` where:
* If `j ∈ removed` then we want to delete module named `j` from the imports of `i`
* If `j ∈ added` then we want to add module index `j` to the imports of `i`.
-/
abbrev Edits := Std.HashMap Name (Array Import × Array Import)
/-- Register that we want to remove `tgt` from the imports of `src`. -/
def Edits.remove (ed : Edits) (src : Name) (tgt : Import) : Edits :=
match ed.get? src with
| none => ed.insert src (#[tgt], #[])
| some (a, b) => ed.insert src (a.push tgt, b)
/-- Register that we want to add `tgt` to the imports of `src`. -/
def Edits.add (ed : Edits) (src : Name) (tgt : Import) : Edits :=
match ed.get? src with
| none => ed.insert src (#[], #[tgt])
| some (a, b) => ed.insert src (a, b.push tgt)
/-- Parse a source file to extract the location of the import lines, for edits and error messages.
Returns `(path, inputCtx, imports, endPos)` where `imports` is the `Lean.Parser.Module.import` list
and `endPos` is the position of the end of the header.
-/
def parseHeaderFromString (text path : String) :
IO (System.FilePath × Parser.InputContext ×
TSyntaxArray ``Parser.Module.import × String.Pos) := do
let inputCtx := Parser.mkInputContext text path
let (header, parserState, msgs) Parser.parseHeader inputCtx
if !msgs.toList.isEmpty then -- skip this file if there are parse errors
msgs.forM fun msg => msg.toString >>= IO.println
throw <| .userError "parse errors in file"
-- the insertion point for `add` is the first newline after the imports
let insertion := header.raw.getTailPos?.getD parserState.pos
let insertion := text.findAux (· == '\n') text.endPos insertion + 1
pure (path, inputCtx, .mk header.raw[2].getArgs, insertion)
/-- Parse a source file to extract the location of the import lines, for edits and error messages.
Returns `(path, inputCtx, imports, endPos)` where `imports` is the `Lean.Parser.Module.import` list
and `endPos` is the position of the end of the header.
-/
def parseHeader (srcSearchPath : SearchPath) (mod : Name) :
IO (System.FilePath × Parser.InputContext ×
TSyntaxArray ``Parser.Module.import × String.Pos) := do
-- Parse the input file
let some path srcSearchPath.findModuleWithExt "lean" mod
| throw <| .userError s!"error: failed to find source file for {mod}"
let text IO.FS.readFile path
parseHeaderFromString text path.toString
def decodeImport : TSyntax ``Parser.Module.import Import
| `(Parser.Module.import| $[public%$pubTk?]? $[meta%$metaTk?]? import $[all%$allTk?]? $id) =>
{ module := id.getId, isExported := pubTk?.isSome, isMeta := metaTk?.isSome, importAll := allTk?.isSome }
| stx => panic! s!"unexpected syntax {stx}"
/-- Analyze and report issues from module `i`. Arguments:
* `srcSearchPath`: Used to find the path for error reporting purposes
* `i`: the module index
* `needs`: the module's calculated needs
* `pinned`: dependencies that should be preserved even if unused
* `edits`: accumulates the list of edits to apply if `--fix` is true
* `addOnly`: if true, only add missing imports, do not remove unused ones
-/
def visitModule (srcSearchPath : SearchPath)
(i : Nat) (needs : Needs) (preserve : Needs) (edits : Edits)
(addOnly := false) (githubStyle := false) (explain := false) : StateT State IO Edits := do
let s get
-- Do transitive reduction of `needs` in `deps`.
let mut deps := needs
for j in [0:s.mods.size] do
let transDeps := s.transDeps[j]!
for k in NeedsKind.all do
if s.transDepsOrig[i]!.has k j && preserve.has k j then
deps := deps.union k {j}
if deps.has k j then
let transDeps := addTransitiveImps .empty { k with module := .anonymous } j transDeps
for k' in NeedsKind.all do
deps := deps.sub k' (transDeps.sub k' {j} |>.get k')
-- Any import which is not in `transDeps` was unused.
-- Also accumulate `newDeps` which is the transitive closure of the remaining imports
let mut toRemove : Array Import := #[]
let mut newDeps := Needs.empty
for imp in s.mods[i]!.imports do
let j := s.env.getModuleIdx? imp.module |>.get!
if
-- skip folder-nested imports
s.modNames[i]!.isPrefixOf imp.module ||
imp.importAll then
newDeps := addTransitiveImps newDeps imp j s.transDeps[j]!
else
let k := NeedsKind.ofImport imp
if !addOnly && !deps.has k j && !deps.has { k with isExported := false } j then
toRemove := toRemove.push imp
else
newDeps := addTransitiveImps newDeps imp j s.transDeps[j]!
-- If `newDeps` does not cover `deps`, then we have to add back some imports until it does.
-- To minimize new imports we pick only new imports which are not transitively implied by
-- another new import
let mut toAdd : Array Import := #[]
for j in [0:s.mods.size] do
for k in NeedsKind.all do
if deps.has k j && !newDeps.has k j && !newDeps.has { k with isExported := true } j then
let imp := { k with module := s.modNames[j]! }
toAdd := toAdd.push imp
newDeps := addTransitiveImps newDeps imp j s.transDeps[j]!
-- mark and report the removals
let mut edits := toRemove.foldl (init := edits) fun edits imp =>
edits.remove s.modNames[i]! imp
if !toAdd.isEmpty || !toRemove.isEmpty || explain then
if let some path srcSearchPath.findModuleWithExt "lean" s.modNames[i]! then
println! "{path}:"
else
println! "{s.modNames[i]!}:"
if !toRemove.isEmpty then
println! " remove {toRemove}"
if githubStyle then
try
let (path, inputCtx, imports, endHeader) parseHeader srcSearchPath s.modNames[i]!
for stx in imports do
if toRemove.any fun imp => imp == decodeImport stx then
let pos := inputCtx.fileMap.toPosition stx.raw.getPos?.get!
println! "{path}:{pos.line}:{pos.column+1}: warning: unused import \
(use `lake exe shake --fix` to fix this, or `lake exe shake --update` to ignore)"
if !toAdd.isEmpty then
-- we put the insert message on the beginning of the last import line
let pos := inputCtx.fileMap.toPosition endHeader
println! "{path}:{pos.line-1}:1: warning: \
add {toAdd} instead"
catch _ => pure ()
-- mark and report the additions
edits := toAdd.foldl (init := edits) fun edits imp =>
edits.add s.modNames[i]! imp
if !toAdd.isEmpty then
println! " add {toAdd}"
-- recalculate transitive dependencies of downstream modules
let mut newTransDepsI := Needs.empty
for imp in s.mods[i]!.imports do
if !toRemove.contains imp then
let j := s.env.getModuleIdx? imp.module |>.get!
newTransDepsI := addTransitiveImps newTransDepsI imp j s.transDeps[j]!
for imp in toAdd do
let j := s.env.getModuleIdx? imp.module |>.get!
newTransDepsI := addTransitiveImps newTransDepsI imp j s.transDeps[j]!
set { s with transDeps := s.transDeps.set! i newTransDepsI }
if explain then
let explanation := getExplanations s.env i
let sanitize n := if n.hasMacroScopes then (sanitizeName n).run' { options := {} } else n
let run (imp : Import) := do
let j := s.env.getModuleIdx? imp.module |>.get!
if let some exp? := explanation[(j, NeedsKind.ofImport imp)]? then
println! " note: `{imp}` required"
if let some (n, c) := exp? then
println! " because `{sanitize n}` refers to `{sanitize c}`"
else
println! " because of additional compile-time dependencies"
for j in s.mods[i]!.imports do
if !toRemove.contains j then
run j
for i in toAdd do run i
return edits
/-- Convert a list of module names to a bitset of module indexes -/
def toBitset (s : State) (ns : List Name) : Bitset :=
ns.foldl (init := ) fun c name =>
match s.env.getModuleIdxFor? name with
| some i => c {i}
| none => c
/-- The parsed CLI arguments. See `help` for more information -/
structure Args where
/-- `--help`: shows the help -/
help : Bool := false
/-- `--force`: skips the `lake build --no-build` sanity check -/
force : Bool := false
/-- `--gh-style`: output messages that can be parsed by `gh-problem-matcher-wrap` -/
githubStyle : Bool := false
/-- `--explain`: give constants explaining why each module is needed -/
explain : Bool := false
/-- `--fix`: apply the fixes directly -/
fix : Bool := false
/-- `<MODULE>..`: the list of root modules to check -/
mods : Array Name := #[]
local instance : Ord Import where
compare a b :=
if a.isExported && !b.isExported then
Ordering.lt
else if !a.isExported && b.isExported then
Ordering.gt
else
a.module.cmp b.module
/-- The main entry point. See `help` for more information on arguments. -/
def main (args : List String) : IO UInt32 := do
initSearchPath ( findSysroot)
-- Parse the arguments
let rec parseArgs (args : Args) : List String Args
| [] => args
| "--help" :: rest => parseArgs { args with help := true } rest
| "--force" :: rest => parseArgs { args with force := true } rest
| "--fix" :: rest => parseArgs { args with fix := true } rest
| "--explain" :: rest => parseArgs { args with explain := true } rest
| "--gh-style" :: rest => parseArgs { args with githubStyle := true } rest
| "--" :: rest => { args with mods := args.mods ++ rest.map (·.toName) }
| other :: rest => parseArgs { args with mods := args.mods.push other.toName } rest
let args := parseArgs {} args
-- Bail if `--help` is passed
if args.help then
IO.println help
IO.Process.exit 0
if !args.force then
if ( IO.Process.output { cmd := "lake", args := #["build", "--no-build"] }).exitCode != 0 then
IO.println "There are out of date oleans. Run `lake build` or `lake exe cache get` first"
IO.Process.exit 1
-- Determine default module(s) to run shake on
let defaultTargetModules : Array Name try
let (elanInstall?, leanInstall?, lakeInstall?) Lake.findInstall?
let config Lake.MonadError.runEIO <| Lake.mkLoadConfig { elanInstall?, leanInstall?, lakeInstall? }
let some workspace Lake.loadWorkspace config |>.toBaseIO
| throw <| IO.userError "failed to load Lake workspace"
let defaultTargetModules := workspace.root.defaultTargets.flatMap fun target =>
if let some lib := workspace.root.findLeanLib? target then
lib.roots
else if let some exe := workspace.root.findLeanExe? target then
#[exe.config.root]
else
#[]
pure defaultTargetModules
catch _ =>
pure #[]
let srcSearchPath getSrcSearchPath
-- the list of root modules
let mods := if args.mods.isEmpty then defaultTargetModules else args.mods
-- Only submodules of `pkg` will be edited or have info reported on them
let pkg := mods[0]!.components.head!
-- Load all the modules
let imps := mods.map ({ module := · })
let (_, s) importModulesCore imps (isExported := true) |>.run
let s := s.markAllExported
let env finalizeImport s (isModule := true) imps {} (leakEnv := false) (loadExts := false)
StateT.run' (s := initStateFromEnv env) do
let s get
-- Parse the config file
-- Run the calculation of the `needs` array in parallel
let needs := s.mods.mapIdx fun i _ =>
Task.spawn fun _ => calcNeeds s.env i
if args.fix then
println! "The following changes will be made automatically:"
-- Check all selected modules
let mut edits : Edits :=
let mut revNeeds : Needs := default
for i in [0:s.mods.size], t in needs do
edits visitModule (addOnly := !pkg.isPrefixOf s.modNames[i]!) srcSearchPath i t.get revNeeds edits args.githubStyle args.explain
if isExtraRevModUse s.env i then
revNeeds := revNeeds.union .priv {i}
if !args.fix then
-- return error if any issues were found
return if edits.isEmpty then 0 else 1
-- Apply the edits to existing files
let count edits.foldM (init := 0) fun count mod (remove, add) => do
let add : Array Import := add.qsortOrd
-- Parse the input file
let (path, inputCtx, imports, insertion)
try parseHeader srcSearchPath mod
catch e => println! e.toString; return count
let text := inputCtx.fileMap.source
-- Calculate the edit result
let mut pos : String.Pos := 0
let mut out : String := ""
let mut seen : Std.HashSet Import := {}
for stx in imports do
let mod := decodeImport stx
if remove.contains mod || seen.contains mod then
out := out ++ text.extract pos stx.raw.getPos?.get!
-- We use the end position of the syntax, but include whitespace up to the first newline
pos := text.findAux (· == '\n') text.endPos stx.raw.getTailPos?.get! + 1
seen := seen.insert mod
out := out ++ text.extract pos insertion
for mod in add do
if !seen.contains mod then
seen := seen.insert mod
out := out ++ s!"{mod}\n"
out := out ++ text.extract insertion text.endPos
IO.FS.writeFile path out
return count + 1
-- Since we throw an error upon encountering issues, we can be sure that everything worked
-- if we reach this point of the script.
if count > 0 then
println! "Successfully applied {count} suggestions."
else
println! "No edits required."
return 0

9
script/lakefile.toml Normal file
View File

@@ -0,0 +1,9 @@
name = "scripts"
[[lean_exe]]
name = "modulize"
root = "Modulize"
[[lean_exe]]
name = "shake"
root = "Shake"

1
script/lean-toolchain Normal file
View File

@@ -0,0 +1 @@
lean4

View File

@@ -34,7 +34,14 @@ if (NOT LEAN_PLATFORM_TARGET)
OUTPUT_VARIABLE LEAN_PLATFORM_TARGET OUTPUT_STRIP_TRAILING_WHITESPACE)
endif()
set(LEAN_EXTRA_LINKER_FLAGS "" CACHE STRING "Additional flags used by the linker")
set(LEAN_EXTRA_LINKER_FLAGS_DEFAULT "")
# Use lld by default, if available
find_program(LLD_PATH lld)
if(LLD_PATH)
string(APPEND LEAN_EXTRA_LINKER_FLAGS_DEFAULT " -fuse-ld=lld")
endif()
set(LEAN_EXTRA_LINKER_FLAGS ${LEAN_EXTRA_LINKER_FLAGS_DEFAULT} CACHE STRING "Additional flags used by the linker")
set(LEAN_EXTRA_CXX_FLAGS "" CACHE STRING "Additional flags used by the C++ compiler")
set(LEAN_TEST_VARS "LEAN_CC=${CMAKE_C_COMPILER}" CACHE STRING "Additional environment variables used when running tests")
@@ -82,6 +89,7 @@ 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" ON)
option(USE_LAKE_CACHE "Use the Lake artifact cache for stage 1 builds (requires USE_LAKE)" OFF)
set(LEAN_EXTRA_MAKE_OPTS "" CACHE STRING "extra options to lean --make")
set(LEANC_CC ${CMAKE_C_COMPILER} CACHE STRING "C compiler to use in `leanc`")
@@ -797,6 +805,9 @@ install(DIRECTORY "${CMAKE_BINARY_DIR}/lib/" DESTINATION lib
# symlink source into expected installation location for go-to-definition, if file system allows it
file(MAKE_DIRECTORY ${CMAKE_BINARY_DIR}/src)
# get rid of all files in `src/lean` that may have been loaded from the cache
# (at the time of writing this, this is the case for some lake test .c files)
file(REMOVE_RECURSE ${CMAKE_BINARY_DIR}/src/lean)
if(${STAGE} EQUAL 0)
file(CREATE_LINK ${CMAKE_SOURCE_DIR}/../../src ${CMAKE_BINARY_DIR}/src/lean RESULT _IGNORE_RES SYMBOLIC)
else()
@@ -823,10 +834,13 @@ if(LEAN_INSTALL_PREFIX)
set(CMAKE_INSTALL_PREFIX "${LEAN_INSTALL_PREFIX}/lean-${LEAN_VERSION_STRING}${LEAN_INSTALL_SUFFIX}")
endif()
if (STAGE GREATER 1)
if (USE_LAKE_CACHE AND STAGE EQUAL 1)
set(LAKE_ARTIFACT_CACHE_TOML "true")
else()
# 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")
set(LAKE_ARTIFACT_CACHE_TOML "false")
endif()
# Escape for `make`. Yes, twice.
@@ -844,15 +858,13 @@ endfunction()
string(REPLACE "ROOT" "${CMAKE_BINARY_DIR}" LEANC_CC "${LEANC_CC}")
string(REPLACE "ROOT" "${CMAKE_BINARY_DIR}" LEANC_INTERNAL_FLAGS "${LEANC_INTERNAL_FLAGS}")
string(REPLACE "ROOT" "${CMAKE_BINARY_DIR}" LEANC_INTERNAL_LINKER_FLAGS "${LEANC_INTERNAL_LINKER_FLAGS}")
set(LEANC_OPTS_TOML "${LEANC_OPTS} ${LEANC_EXTRA_CC_FLAGS} ${LEANC_INTERNAL_FLAGS}")
set(LINK_OPTS_TOML "${LEANC_INTERNAL_LINKER_FLAGS} -L${CMAKE_BINARY_DIR}/lib/lean ${LEAN_EXTRA_LINKER_FLAGS}")
toml_escape("${LEAN_EXTRA_MAKE_OPTS}" LEAN_EXTRA_OPTS_TOML)
toml_escape("${LEANC_OPTS_TOML}" LEANC_OPTS_TOML)
toml_escape("${LINK_OPTS_TOML}" LINK_OPTS_TOML)
if(${CMAKE_SYSTEM_NAME} MATCHES "Windows")
set(LAKE_LIB_PREFIX "lib")
if(${CMAKE_BUILD_TYPE} MATCHES "Debug|Release|RelWithDebInfo|MinSizeRel")
set(CMAKE_BUILD_TYPE_TOML "${CMAKE_BUILD_TYPE}")
else()
set(CMAKE_BUILD_TYPE_TOML "Release")
endif()
if(USE_LAKE)

View File

@@ -8,7 +8,7 @@ module
prelude
public import Init.PropLemmas
public section
@[expose] public section
universe u v

View File

@@ -16,5 +16,3 @@ public import Init.Control.Option
public import Init.Control.Lawful
public import Init.Control.StateCps
public import Init.Control.ExceptCps
public section

View File

@@ -10,5 +10,3 @@ public import Init.Control.Lawful.Basic
public import Init.Control.Lawful.Instances
public import Init.Control.Lawful.Lemmas
public import Init.Control.Lawful.MonadLift
public section

View File

@@ -9,6 +9,8 @@ prelude
public import Init.Control.Lawful.Basic
public import Init.Control.Except
import all Init.Control.Except
public import Init.Control.Option
import all Init.Control.Option
public import Init.Control.State
import all Init.Control.State
public import Init.Control.StateRef
@@ -110,6 +112,121 @@ instance : LawfulMonad (Except ε) := LawfulMonad.mk'
instance : LawfulApplicative (Except ε) := inferInstance
instance : LawfulFunctor (Except ε) := inferInstance
/-! # OptionT -/
namespace OptionT
@[ext] theorem ext {x y : OptionT m α} (h : x.run = y.run) : x = y := by
simp [run] at h
assumption
@[simp, grind =] theorem run_mk {m : Type u Type v} (x : m (Option α)) :
OptionT.run (OptionT.mk x) = x := by rfl
@[simp, grind =] theorem run_pure [Monad m] (x : α) : run (pure x : OptionT m α) = pure (some x) := by
simp [run, pure, OptionT.pure, OptionT.mk]
@[simp, grind =] theorem run_lift [Monad.{u, v} m] (x : m α) : run (OptionT.lift x : OptionT m α) = (return some ( x) : m (Option α)) := by
simp [run, OptionT.lift, OptionT.mk]
@[simp, grind =] theorem run_throw [Monad m] : run (throw e : OptionT m β) = pure none := by
simp [run, throw, throwThe, MonadExceptOf.throw, OptionT.fail, OptionT.mk]
@[simp, grind =] theorem run_bind_lift [Monad m] [LawfulMonad m] (x : m α) (f : α OptionT m β) : run (OptionT.lift x >>= f : OptionT m β) = x >>= fun a => run (f a) := by
simp [OptionT.run, OptionT.lift, bind, OptionT.bind, OptionT.mk]
@[simp, grind =] theorem bind_throw [Monad m] [LawfulMonad m] (f : α OptionT m β) : (throw e >>= f) = throw e := by
simp [throw, throwThe, MonadExceptOf.throw, bind, OptionT.bind, OptionT.mk, OptionT.fail]
@[simp, grind =] theorem run_bind (f : α OptionT m β) [Monad m] :
(x >>= f).run = Option.elimM x.run (pure none) (fun x => (f x).run) := by
change x.run >>= _ = _
simp [Option.elimM]
exact bind_congr fun |some _ => rfl | none => rfl
@[simp, grind =] theorem lift_pure [Monad m] [LawfulMonad m] {α : Type u} (a : α) : OptionT.lift (pure a : m α) = pure a := by
simp only [OptionT.lift, OptionT.mk, bind_pure_comp, map_pure, pure, OptionT.pure]
@[simp, grind =] theorem run_map [Monad m] [LawfulMonad m] (f : α β) (x : OptionT m α)
: (f <$> x).run = Option.map f <$> x.run := by
simp [Functor.map, Option.map, bind_pure_comp]
apply bind_congr
intro a; cases a <;> simp [OptionT.pure, OptionT.mk]
protected theorem seq_eq {α β : Type u} [Monad m] (mf : OptionT m (α β)) (x : OptionT m α) : mf <*> x = mf >>= fun f => f <$> x :=
rfl
protected theorem bind_pure_comp [Monad m] (f : α β) (x : OptionT m α) : x >>= pure f = f <$> x := by
intros; rfl
protected theorem seqLeft_eq {α β : Type u} {m : Type u Type v} [Monad m] [LawfulMonad m] (x : OptionT m α) (y : OptionT m β) : x <* y = const β <$> x <*> y := by
change (x >>= fun a => y >>= fun _ => pure a) = (const (α := α) β <$> x) >>= fun f => f <$> y
rw [ OptionT.bind_pure_comp]
apply ext
simp [Option.elimM, Option.elim]
apply bind_congr
intro
| none => simp
| some _ =>
simp [bind_pure_comp]; apply bind_congr; intro b;
cases b <;> simp [const]
protected theorem seqRight_eq [Monad m] [LawfulMonad m] (x : OptionT m α) (y : OptionT m β) : x *> y = const α id <$> x <*> y := by
change (x >>= fun _ => y) = (const α id <$> x) >>= fun f => f <$> y
rw [ OptionT.bind_pure_comp]
apply ext
simp [Option.elimM, Option.elim]
apply bind_congr
intro a; cases a <;> simp
instance [Monad m] [LawfulMonad m] : LawfulMonad (OptionT m) where
id_map := by intros; apply ext; simp
map_const := by intros; rfl
seqLeft_eq := OptionT.seqLeft_eq
seqRight_eq := OptionT.seqRight_eq
pure_seq := by intros; apply ext; simp [OptionT.seq_eq, Option.elimM, Option.elim]
bind_pure_comp := OptionT.bind_pure_comp
bind_map := by intros; rfl
pure_bind := by intros; apply ext; simp [Option.elimM, Option.elim]
bind_assoc := by intros; apply ext; simp [Option.elimM, Option.elim]; apply bind_congr; intro a; cases a <;> simp
@[simp] theorem run_seq [Monad m] [LawfulMonad m] (f : OptionT m (α β)) (x : OptionT m α) :
(f <*> x).run = Option.elimM f.run (pure none) (fun f => Option.map f <$> x.run) := by
simp [seq_eq_bind, Option.elimM, Option.elim]
@[simp] theorem run_seqLeft [Monad m] [LawfulMonad m] (x : OptionT m α) (y : OptionT m β) :
(x <* y).run = Option.elimM x.run (pure none)
(fun x => Option.map (Function.const β x) <$> y.run) := by
simp [seqLeft_eq, seq_eq_bind, Option.elimM, OptionT.run_bind]
@[simp] theorem run_seqRight [Monad m] [LawfulMonad m] (x : OptionT m α) (y : OptionT m β) :
(x *> y).run = Option.elimM x.run (pure none) (Function.const α y.run) := by
simp only [seqRight_eq, run_seq, Option.elimM, run_map, Option.elim, bind_map_left]
refine bind_congr (fun | some _ => by simp | none => by simp)
@[simp, grind =] theorem run_failure [Monad m] : (failure : OptionT m α).run = pure none := by rfl
@[simp] theorem map_failure [Monad m] [LawfulMonad m] {α β : Type _} (f : α β) :
f <$> (failure : OptionT m α) = (failure : OptionT m β) := by
simp [OptionT.mk, Functor.map, Alternative.failure, OptionT.fail, OptionT.bind]
@[simp] theorem run_orElse [Monad m] (x : OptionT m α) (y : OptionT m α) :
(x <|> y).run = Option.elimM x.run y.run (fun x => pure (some x)) :=
bind_congr fun | some _ => by rfl | none => by rfl
end OptionT
/-! # Option -/
instance : LawfulMonad Option := LawfulMonad.mk'
(id_map := fun x => by cases x <;> rfl)
(pure_bind := fun _ _ => by rfl)
(bind_assoc := fun a _ _ => by cases a <;> rfl)
(bind_pure_comp := bind_pure_comp)
instance : LawfulApplicative Option := inferInstance
instance : LawfulFunctor Option := inferInstance
/-! # ReaderT -/
namespace ReaderT

View File

@@ -9,5 +9,3 @@ prelude
public import Init.Control.Lawful.MonadLift.Basic
public import Init.Control.Lawful.MonadLift.Lemmas
public import Init.Control.Lawful.MonadLift.Instances
public section

View File

@@ -64,10 +64,6 @@ namespace OptionT
variable [Monad m] [LawfulMonad m]
@[simp]
theorem lift_pure {α : Type u} (a : α) : OptionT.lift (pure a : m α) = pure a := by
simp only [OptionT.lift, OptionT.mk, bind_pure_comp, map_pure, pure, OptionT.pure]
@[simp]
theorem lift_bind {α β : Type u} (ma : m α) (f : α m β) :
OptionT.lift (ma >>= f) = OptionT.lift ma >>= (fun a => OptionT.lift (f a)) := by

View File

@@ -39,13 +39,14 @@ variable {m : Type u → Type v} [Monad m] {α β : Type u}
Converts an action that returns an `Option` into one that might fail, with `none` indicating
failure.
-/
@[always_inline, inline, expose]
protected def mk (x : m (Option α)) : OptionT m α :=
x
/--
Sequences two potentially-failing actions. The second action is run only if the first succeeds.
-/
@[always_inline, inline]
@[always_inline, inline, expose]
protected def bind (x : OptionT m α) (f : α OptionT m β) : OptionT m β := OptionT.mk do
match ( x) with
| some a => f a
@@ -54,7 +55,7 @@ protected def bind (x : OptionT m α) (f : α → OptionT m β) : OptionT m β :
/--
Succeeds with the provided value.
-/
@[always_inline, inline]
@[always_inline, inline, expose]
protected def pure (a : α) : OptionT m α := OptionT.mk do
pure (some a)

View File

@@ -144,8 +144,9 @@ Computed values are cached, so the value is not recomputed.
x.fn ()
-- Ensure `Thunk.fn` is still computable even if it shouldn't be accessed directly.
@[inline] private def Thunk.fnImpl (x : Thunk α) : Unit α := fun _ => x.get
@[csimp] private theorem Thunk.fn_eq_fnImpl : @Thunk.fn = @Thunk.fnImpl := rfl
/-- Implementation detail. -/
@[inline] def Thunk.fnImpl (x : Thunk α) : Unit α := fun _ => x.get
@[csimp] theorem Thunk.fn_eq_fnImpl : @Thunk.fn = @Thunk.fnImpl := rfl
/--
Constructs a new thunk that forces `x` and then applies `x` to the result. Upon forcing, the result
@@ -1605,7 +1606,7 @@ gen_injective_theorems% PSigma
gen_injective_theorems% PSum
gen_injective_theorems% Sigma
gen_injective_theorems% String
gen_injective_theorems% String.Pos
gen_injective_theorems% String.Pos.Raw
gen_injective_theorems% Substring
gen_injective_theorems% Subtype
gen_injective_theorems% Sum

View File

@@ -30,6 +30,7 @@ public import Init.Data.Random
public import Init.Data.ToString
public import Init.Data.Range
public import Init.Data.Hashable
public import Init.Data.LawfulHashable
public import Init.Data.OfScientific
public import Init.Data.Format
public import Init.Data.Stream
@@ -52,5 +53,3 @@ public import Init.Data.Slice
public import Init.Data.Order
public import Init.Data.Rat
public import Init.Data.Dyadic
public section

View File

@@ -30,5 +30,3 @@ public import Init.Data.Array.Erase
public import Init.Data.Array.Zip
public import Init.Data.Array.InsertIdx
public import Init.Data.Array.Extract
public section

View File

@@ -84,10 +84,10 @@ well-founded recursion mechanism to prove that the function terminates.
simp [pmap]
/-- Implementation of `pmap` using the zero-copy version of `attach`. -/
@[inline] private def pmapImpl {P : α Prop} (f : a, P a β) (xs : Array α) (H : a xs, P a) :
@[inline] def pmapImpl {P : α Prop} (f : a, P a β) (xs : Array α) (H : a xs, P a) :
Array β := (xs.attachWith _ H).map fun x, h' => f x h'
@[csimp] private theorem pmap_eq_pmapImpl : @pmap = @pmapImpl := by
@[csimp] theorem pmap_eq_pmapImpl : @pmap = @pmapImpl := by
funext α β p f xs H
cases xs
simp only [pmap, pmapImpl, List.attachWith_toArray, List.map_toArray, mk.injEq, List.map_attachWith_eq_pmap]
@@ -95,16 +95,16 @@ well-founded recursion mechanism to prove that the function terminates.
intro a m h₁ h₂
congr
@[simp, grind =] theorem pmap_empty {P : α Prop} (f : a, P a β) : pmap f #[] (by simp) = #[] := rfl
@[simp] theorem pmap_empty {P : α Prop} (f : a, P a β) : pmap f #[] (by simp) = #[] := rfl
@[simp, grind =] theorem pmap_push {P : α Prop} (f : a, P a β) (a : α) (xs : Array α) (h : b xs.push a, P b) :
@[simp] theorem pmap_push {P : α Prop} (f : a, P a β) (a : α) (xs : Array α) (h : b xs.push a, P b) :
pmap f (xs.push a) h =
(pmap f xs (fun a m => by simp at h; exact h a (.inl m))).push (f a (h a (by simp))) := by
simp [pmap]
@[simp, grind =] theorem attach_empty : (#[] : Array α).attach = #[] := rfl
@[simp] theorem attach_empty : (#[] : Array α).attach = #[] := rfl
@[simp, grind =] theorem attachWith_empty {P : α Prop} (H : x #[], P x) : (#[] : Array α).attachWith P H = #[] := rfl
@[simp] theorem attachWith_empty {P : α Prop} (H : x #[], P x) : (#[] : Array α).attachWith P H = #[] := rfl
@[simp] theorem _root_.List.attachWith_mem_toArray {l : List α} :
l.attachWith (fun x => x l.toArray) (fun x h => by simpa using h) =
@@ -125,13 +125,11 @@ theorem pmap_congr_left {p q : α → Prop} {f : ∀ a, p a → β} {g : ∀ a,
simp only [List.pmap_toArray, mk.injEq]
rw [List.pmap_congr_left _ h]
@[grind =]
theorem map_pmap {p : α Prop} {g : β γ} {f : a, p a β} {xs : Array α} (H) :
map g (pmap f xs H) = pmap (fun a h => g (f a h)) xs H := by
cases xs
simp [List.map_pmap]
@[grind =]
theorem pmap_map {p : β Prop} {g : b, p b γ} {f : α β} {xs : Array α} (H) :
pmap g (map f xs) H = pmap (fun a h => g (f a) h) xs fun _ h => H _ (mem_map_of_mem h) := by
cases xs
@@ -147,14 +145,14 @@ theorem attachWith_congr {xs ys : Array α} (w : xs = ys) {P : α → Prop} {H :
subst w
simp
@[simp, grind =] theorem attach_push {a : α} {xs : Array α} :
@[simp] theorem attach_push {a : α} {xs : Array α} :
(xs.push a).attach =
(xs.attach.map (fun x, h => x, mem_push_of_mem a h)).push a, by simp := by
cases xs
rw [attach_congr (List.push_toArray _ _)]
simp [Function.comp_def]
@[simp, grind =] theorem attachWith_push {a : α} {xs : Array α} {P : α Prop} {H : x xs.push a, P x} :
@[simp] theorem attachWith_push {a : α} {xs : Array α} {P : α Prop} {H : x xs.push a, P x} :
(xs.push a).attachWith P H =
(xs.attachWith P (fun x h => by simp at H; exact H x (.inl h))).push a, H a (by simp) := by
cases xs
@@ -176,9 +174,6 @@ theorem attach_map_val (xs : Array α) (f : α → β) :
cases xs
simp
@[deprecated attach_map_val (since := "2025-02-17")]
abbrev attach_map_coe := @attach_map_val
-- The argument `xs : Array α` is explicit to allow rewriting from right to left.
theorem attach_map_subtype_val (xs : Array α) : xs.attach.map Subtype.val = xs := by
cases xs; simp
@@ -187,9 +182,6 @@ theorem attachWith_map_val {p : α → Prop} {f : α → β} {xs : Array α} (H
((xs.attachWith p H).map fun (i : { i // p i}) => f i) = xs.map f := by
cases xs; simp
@[deprecated attachWith_map_val (since := "2025-02-17")]
abbrev attachWith_map_coe := @attachWith_map_val
theorem attachWith_map_subtype_val {p : α Prop} {xs : Array α} (H : a xs, p a) :
(xs.attachWith p H).map Subtype.val = xs := by
cases xs; simp
@@ -294,25 +286,23 @@ theorem getElem_attach {xs : Array α} {i : Nat} (h : i < xs.attach.size) :
xs.attach[i] = xs[i]'(by simpa using h), getElem_mem (by simpa using h) :=
getElem_attachWith h
@[simp, grind =] theorem pmap_attach {xs : Array α} {p : {x // x xs} Prop} {f : a, p a β} (H) :
@[simp] theorem pmap_attach {xs : Array α} {p : {x // x xs} Prop} {f : a, p a β} (H) :
pmap f xs.attach H =
xs.pmap (P := fun a => h : a xs, p a, h)
(fun a h => f a, h.1 h.2) (fun a h => h, H a, h (by simp)) := by
ext <;> simp
@[simp, grind =] theorem pmap_attachWith {xs : Array α} {p : {x // q x} Prop} {f : a, p a β} (H₁ H₂) :
@[simp] theorem pmap_attachWith {xs : Array α} {p : {x // q x} Prop} {f : a, p a β} (H₁ H₂) :
pmap f (xs.attachWith q H₁) H₂ =
xs.pmap (P := fun a => h : q a, p a, h)
(fun a h => f a, h.1 h.2) (fun a h => H₁ _ h, H₂ a, H₁ _ h (by simpa)) := by
ext <;> simp
@[grind =]
theorem foldl_pmap {xs : Array α} {P : α Prop} {f : (a : α) P a β}
(H : (a : α), a xs P a) (g : γ β γ) (x : γ) :
(xs.pmap f H).foldl g x = xs.attach.foldl (fun acc a => g acc (f a.1 (H _ a.2))) x := by
rw [pmap_eq_map_attach, foldl_map]
@[grind =]
theorem foldr_pmap {xs : Array α} {P : α Prop} {f : (a : α) P a β}
(H : (a : α), a xs P a) (g : β γ γ) (x : γ) :
(xs.pmap f H).foldr g x = xs.attach.foldr (fun a acc => g (f a.1 (H _ a.2)) acc) x := by
@@ -370,20 +360,18 @@ theorem foldr_attach {xs : Array α} {f : α → β → β} {b : β} :
ext
simpa using fun a => List.mem_of_getElem? a
@[grind =]
theorem attach_map {xs : Array α} {f : α β} :
(xs.map f).attach = xs.attach.map (fun x, h => f x, mem_map_of_mem h) := by
cases xs
ext <;> simp
@[grind =]
theorem attachWith_map {xs : Array α} {f : α β} {P : β Prop} (H : (b : β), b xs.map f P b) :
(xs.map f).attachWith P H = (xs.attachWith (P f) (fun _ h => H _ (mem_map_of_mem h))).map
fun x, h => f x, h := by
cases xs
simp [List.attachWith_map]
@[simp, grind =] theorem map_attachWith {xs : Array α} {P : α Prop} {H : (a : α), a xs P a}
@[simp] theorem map_attachWith {xs : Array α} {P : α Prop} {H : (a : α), a xs P a}
{f : { x // P x } β} :
(xs.attachWith P H).map f = xs.attach.map fun x, h => f x, H _ h := by
cases xs <;> simp_all
@@ -401,9 +389,6 @@ theorem map_attach_eq_pmap {xs : Array α} {f : { x // x ∈ xs } → β} :
cases xs
ext <;> simp
@[deprecated map_attach_eq_pmap (since := "2025-02-09")]
abbrev map_attach := @map_attach_eq_pmap
@[grind =]
theorem attach_filterMap {xs : Array α} {f : α Option β} :
(xs.filterMap f).attach = xs.attach.filterMap
@@ -439,7 +424,6 @@ theorem filter_attachWith {q : α → Prop} {xs : Array α} {p : {x // q x} →
cases xs
simp [Function.comp_def, List.filter_map]
@[grind =]
theorem pmap_pmap {p : α Prop} {q : β Prop} {g : a, p a β} {f : b, q b γ} {xs} (H₁ H₂) :
pmap f (pmap g xs H₁) H₂ =
pmap (α := { x // x xs }) (fun a h => f (g a h) (H₂ (g a h) (mem_pmap_of_mem a.2))) xs.attach
@@ -447,7 +431,7 @@ theorem pmap_pmap {p : α → Prop} {q : β → Prop} {g : ∀ a, p a → β} {f
cases xs
simp [List.pmap_pmap, List.pmap_map]
@[simp, grind =] theorem pmap_append {p : ι Prop} {f : a : ι, p a α} {xs ys : Array ι}
@[simp] theorem pmap_append {p : ι Prop} {f : a : ι, p a α} {xs ys : Array ι}
(h : a xs ++ ys, p a) :
(xs ++ ys).pmap f h =
(xs.pmap f fun a ha => h a (mem_append_left ys ha)) ++
@@ -462,7 +446,7 @@ theorem pmap_append' {p : α → Prop} {f : ∀ a : α, p a → β} {xs ys : Arr
xs.pmap f h₁ ++ ys.pmap f h₂ :=
pmap_append _
@[simp, grind =] theorem attach_append {xs ys : Array α} :
@[simp] theorem attach_append {xs ys : Array α} :
(xs ++ ys).attach = xs.attach.map (fun x, h => x, mem_append_left ys h) ++
ys.attach.map fun x, h => x, mem_append_right xs h := by
cases xs
@@ -470,62 +454,59 @@ theorem pmap_append' {p : α → Prop} {f : ∀ a : α, p a → β} {xs ys : Arr
rw [attach_congr (List.append_toArray _ _)]
simp [List.attach_append, Function.comp_def]
@[simp, grind =] theorem attachWith_append {P : α Prop} {xs ys : Array α}
@[simp] theorem attachWith_append {P : α Prop} {xs ys : Array α}
{H : (a : α), a xs ++ ys P a} :
(xs ++ ys).attachWith P H = xs.attachWith P (fun a h => H a (mem_append_left ys h)) ++
ys.attachWith P (fun a h => H a (mem_append_right xs h)) := by
simp [attachWith]
@[simp, grind =] theorem pmap_reverse {P : α Prop} {f : (a : α) P a β} {xs : Array α}
@[simp] theorem pmap_reverse {P : α Prop} {f : (a : α) P a β} {xs : Array α}
(H : (a : α), a xs.reverse P a) :
xs.reverse.pmap f H = (xs.pmap f (fun a h => H a (by simpa using h))).reverse := by
induction xs <;> simp_all
@[grind =]
theorem reverse_pmap {P : α Prop} {f : (a : α) P a β} {xs : Array α}
(H : (a : α), a xs P a) :
(xs.pmap f H).reverse = xs.reverse.pmap f (fun a h => H a (by simpa using h)) := by
rw [pmap_reverse]
@[simp, grind =] theorem attachWith_reverse {P : α Prop} {xs : Array α}
@[simp] theorem attachWith_reverse {P : α Prop} {xs : Array α}
{H : (a : α), a xs.reverse P a} :
xs.reverse.attachWith P H =
(xs.attachWith P (fun a h => H a (by simpa using h))).reverse := by
cases xs
simp
@[grind =]
theorem reverse_attachWith {P : α Prop} {xs : Array α}
{H : (a : α), a xs P a} :
(xs.attachWith P H).reverse = (xs.reverse.attachWith P (fun a h => H a (by simpa using h))) := by
cases xs
simp
@[simp, grind =] theorem attach_reverse {xs : Array α} :
@[simp] theorem attach_reverse {xs : Array α} :
xs.reverse.attach = xs.attach.reverse.map fun x, h => x, by simpa using h := by
cases xs
rw [attach_congr List.reverse_toArray]
simp
@[grind =]
theorem reverse_attach {xs : Array α} :
xs.attach.reverse = xs.reverse.attach.map fun x, h => x, by simpa using h := by
cases xs
simp
@[simp, grind =] theorem back?_pmap {P : α Prop} {f : (a : α) P a β} {xs : Array α}
@[simp] theorem back?_pmap {P : α Prop} {f : (a : α) P a β} {xs : Array α}
(H : (a : α), a xs P a) :
(xs.pmap f H).back? = xs.attach.back?.map fun a, m => f a (H a m) := by
cases xs
simp
@[simp, grind =] theorem back?_attachWith {P : α Prop} {xs : Array α}
@[simp] theorem back?_attachWith {P : α Prop} {xs : Array α}
{H : (a : α), a xs P a} :
(xs.attachWith P H).back? = xs.back?.pbind (fun a h => some a, H _ (mem_of_back? h)) := by
cases xs
simp
@[simp, grind =]
@[simp]
theorem back?_attach {xs : Array α} :
xs.attach.back? = xs.back?.pbind fun a h => some a, mem_of_back? h := by
cases xs

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@@ -129,20 +129,11 @@ end Array
namespace List
@[deprecated Array.toArray_toList (since := "2025-02-17")]
abbrev toArray_toList := @Array.toArray_toList
-- This does not need to be a simp lemma, as already after the `whnfR` the right hand side is `as`.
theorem toList_toArray {as : List α} : as.toArray.toList = as := rfl
@[deprecated toList_toArray (since := "2025-02-17")]
abbrev _root_.Array.toList_toArray := @List.toList_toArray
@[simp, grind =] theorem size_toArray {as : List α} : as.toArray.size = as.length := by simp [Array.size]
@[deprecated size_toArray (since := "2025-02-17")]
abbrev _root_.Array.size_toArray := @List.size_toArray
@[simp, grind =] theorem getElem_toArray {xs : List α} {i : Nat} (h : i < xs.toArray.size) :
xs.toArray[i] = xs[i]'(by simpa using h) := rfl
@@ -412,10 +403,6 @@ that requires a proof the array is non-empty.
def back? (xs : Array α) : Option α :=
xs[xs.size - 1]?
@[deprecated "Use `a[i]?` instead." (since := "2025-02-12"), expose]
def get? (xs : Array α) (i : Nat) : Option α :=
if h : i < xs.size then some xs[i] else none
/--
Swaps a new element with the element at the given index.
@@ -1812,7 +1799,6 @@ Examples:
* `#["apple", "pear", "orange"].eraseIdxIfInBounds 3 = #["apple", "pear", "orange"]`
* `#["apple", "pear", "orange"].eraseIdxIfInBounds 5 = #["apple", "pear", "orange"]`
-/
@[grind]
def eraseIdxIfInBounds (xs : Array α) (i : Nat) : Array α :=
if h : i < xs.size then xs.eraseIdx i h else xs

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@@ -24,29 +24,6 @@ set_option linter.indexVariables true -- Enforce naming conventions for index va
namespace Array
/--
Use the indexing notation `a[i]` instead.
Access an element from an array without needing a runtime bounds checks,
using a `Nat` index and a proof that it is in bounds.
This function does not use `get_elem_tactic` to automatically find the proof that
the index is in bounds. This is because the tactic itself needs to look up values in
arrays.
-/
@[deprecated "Use indexing notation `as[i]` instead" (since := "2025-02-17")]
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.
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] (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} :
foldlM.loop f xs xs.size (Nat.le_refl _) i j b = (xs.toList.drop j).foldlM f b := by
@@ -108,9 +85,6 @@ abbrev push_toList := @toList_push
@[simp, grind =] theorem toList_pop {xs : Array α} : xs.pop.toList = xs.toList.dropLast := rfl
@[deprecated toList_pop (since := "2025-02-17")]
abbrev pop_toList := @Array.toList_pop
@[simp] theorem append_eq_append {xs ys : Array α} : xs.append ys = xs ++ ys := rfl
@[simp, grind =] theorem toList_append {xs ys : Array α} :

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@@ -63,7 +63,7 @@ theorem size_eq_countP_add_countP {xs : Array α} : xs.size = countP p xs + coun
rcases xs with xs
simp [List.length_eq_countP_add_countP (p := p)]
@[grind _=_]
@[grind =]
theorem countP_eq_size_filter {xs : Array α} : countP p xs = (filter p xs).size := by
rcases xs with xs
simp [List.countP_eq_length_filter]

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@@ -324,6 +324,13 @@ abbrev erase_mkArray_ne := @erase_replicate_ne
end erase
/-! ### eraseIdxIfInBounds -/
@[grind =]
theorem eraseIdxIfInBounds_eq {xs : Array α} {i : Nat} :
xs.eraseIdxIfInBounds i = if h : i < xs.size then xs.eraseIdx i else xs := by
simp [eraseIdxIfInBounds]
/-! ### eraseIdx -/
theorem eraseIdx_eq_eraseIdxIfInBounds {xs : Array α} {i : Nat} (h : i < xs.size) :

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@@ -278,9 +278,6 @@ theorem find?_flatten_eq_none_iff {xss : Array (Array α)} {p : α → Bool} :
xss.flatten.find? p = none ys xss, x ys, !p x := by
simp
@[deprecated find?_flatten_eq_none_iff (since := "2025-02-03")]
abbrev find?_flatten_eq_none := @find?_flatten_eq_none_iff
/--
If `find? p` returns `some a` from `xs.flatten`, then `p a` holds, and
some array in `xs` contains `a`, and no earlier element of that array satisfies `p`.
@@ -306,9 +303,6 @@ theorem find?_flatten_eq_some_iff {xss : Array (Array α)} {p : α → Bool} {a
zs.toList, bs.toList.map Array.toList, by simpa using h,
by simpa using h₁, by simpa using h₂
@[deprecated find?_flatten_eq_some_iff (since := "2025-02-03")]
abbrev find?_flatten_eq_some := @find?_flatten_eq_some_iff
@[simp, grind =] theorem find?_flatMap {xs : Array α} {f : α Array β} {p : β Bool} :
(xs.flatMap f).find? p = xs.findSome? (fun x => (f x).find? p) := by
cases xs
@@ -318,17 +312,11 @@ theorem find?_flatMap_eq_none_iff {xs : Array α} {f : α → Array β} {p : β
(xs.flatMap f).find? p = none x xs, y f x, !p y := by
simp
@[deprecated find?_flatMap_eq_none_iff (since := "2025-02-03")]
abbrev find?_flatMap_eq_none := @find?_flatMap_eq_none_iff
@[grind =]
theorem find?_replicate :
find? p (replicate n a) = if n = 0 then none else if p a then some a else none := by
simp [ List.toArray_replicate, List.find?_replicate]
@[deprecated find?_replicate (since := "2025-03-18")]
abbrev find?_mkArray := @find?_replicate
@[simp] theorem find?_replicate_of_size_pos (h : 0 < n) :
find? p (replicate n a) = if p a then some a else none := by
simp [find?_replicate, Nat.ne_of_gt h]
@@ -346,34 +334,19 @@ abbrev find?_mkArray_of_pos := @find?_replicate_of_pos
@[simp] theorem find?_replicate_of_neg (h : ¬ p a) : find? p (replicate n a) = none := by
simp [find?_replicate, h]
@[deprecated find?_replicate_of_neg (since := "2025-03-18")]
abbrev find?_mkArray_of_neg := @find?_replicate_of_neg
-- This isn't a `@[simp]` lemma since there is already a lemma for `l.find? p = none` for any `l`.
theorem find?_replicate_eq_none_iff {n : Nat} {a : α} {p : α Bool} :
(replicate n a).find? p = none n = 0 !p a := by
simp [ List.toArray_replicate, Classical.or_iff_not_imp_left]
@[deprecated find?_replicate_eq_none_iff (since := "2025-03-18")]
abbrev find?_mkArray_eq_none_iff := @find?_replicate_eq_none_iff
@[simp] theorem find?_replicate_eq_some_iff {n : Nat} {a b : α} {p : α Bool} :
(replicate n a).find? p = some b n 0 p a a = b := by
simp [ List.toArray_replicate]
@[deprecated find?_replicate_eq_some_iff (since := "2025-03-18")]
abbrev find?_mkArray_eq_some_iff := @find?_replicate_eq_some_iff
@[deprecated find?_replicate_eq_some_iff (since := "2025-02-03")]
abbrev find?_mkArray_eq_some := @find?_replicate_eq_some_iff
@[simp] theorem get_find?_replicate {n : Nat} {a : α} {p : α Bool} (h) :
((replicate n a).find? p).get h = a := by
simp [ List.toArray_replicate]
@[deprecated get_find?_replicate (since := "2025-03-18")]
abbrev get_find?_mkArray := @get_find?_replicate
@[grind =]
theorem find?_pmap {P : α Prop} {f : (a : α) P a β} {xs : Array α}
(H : (a : α), a xs P a) {p : β Bool} :

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@@ -80,9 +80,6 @@ theorem ne_empty_of_size_pos (h : 0 < xs.size) : xs ≠ #[] := by
@[simp] theorem size_eq_zero_iff : xs.size = 0 xs = #[] :=
eq_empty_of_size_eq_zero, fun h => h rfl
@[deprecated size_eq_zero_iff (since := "2025-02-24")]
abbrev size_eq_zero := @size_eq_zero_iff
theorem eq_empty_iff_size_eq_zero : xs = #[] xs.size = 0 :=
size_eq_zero_iff.symm
@@ -107,17 +104,10 @@ theorem exists_mem_of_size_eq_add_one {xs : Array α} (h : xs.size = n + 1) :
theorem size_pos_iff {xs : Array α} : 0 < xs.size xs #[] :=
Nat.pos_iff_ne_zero.trans (not_congr size_eq_zero_iff)
@[deprecated size_pos_iff (since := "2025-02-24")]
abbrev size_pos := @size_pos_iff
theorem size_eq_one_iff {xs : Array α} : xs.size = 1 a, xs = #[a] := by
cases xs
simpa using List.length_eq_one_iff
@[deprecated size_eq_one_iff (since := "2025-02-24")]
abbrev size_eq_one := @size_eq_one_iff
/-! ## L[i] and L[i]? -/
theorem getElem?_eq_none_iff {xs : Array α} : xs[i]? = none xs.size i := by
@@ -371,6 +361,7 @@ abbrev getElem?_mkArray := @getElem?_replicate
/-! ### mem -/
@[grind ]
theorem not_mem_empty (a : α) : ¬ a #[] := by simp
@[simp, grind =] theorem mem_push {xs : Array α} {x y : α} : x xs.push y x xs x = y := by
@@ -542,18 +533,12 @@ theorem isEmpty_eq_false_iff_exists_mem {xs : Array α} :
@[simp] theorem isEmpty_iff {xs : Array α} : xs.isEmpty xs = #[] := by
cases xs <;> simp
@[deprecated isEmpty_iff (since := "2025-02-17")]
abbrev isEmpty_eq_true := @isEmpty_iff
@[grind ]
theorem empty_of_isEmpty {xs : Array α} (h : xs.isEmpty) : xs = #[] := Array.isEmpty_iff.mp h
@[simp] theorem isEmpty_eq_false_iff {xs : Array α} : xs.isEmpty = false xs #[] := by
cases xs <;> simp
@[deprecated isEmpty_eq_false_iff (since := "2025-02-17")]
abbrev isEmpty_eq_false := @isEmpty_eq_false_iff
theorem isEmpty_iff_size_eq_zero {xs : Array α} : xs.isEmpty xs.size = 0 := by
rw [isEmpty_iff, size_eq_zero_iff]
@@ -2996,11 +2981,6 @@ theorem _root_.List.toArray_drop {l : List α} {k : Nat} :
(l.drop k).toArray = l.toArray.extract k := by
rw [List.drop_eq_extract, List.extract_toArray, List.size_toArray]
@[deprecated extract_size (since := "2025-02-27")]
theorem take_size {xs : Array α} : xs.take xs.size = xs := by
cases xs
simp
/-! ### shrink -/
@[simp] private theorem size_shrink_loop {xs : Array α} {n : Nat} : (shrink.loop n xs).size = xs.size - n := by
@@ -3586,8 +3566,6 @@ theorem foldr_eq_foldl_reverse {xs : Array α} {f : α → β → β} {b} :
subst w
rw [foldr_eq_foldl_reverse, foldl_push_eq_append rfl, map_reverse]
@[deprecated foldr_push_eq_append (since := "2025-02-09")] abbrev foldr_flip_push_eq_append := @foldr_push_eq_append
theorem foldl_assoc {op : α α α} [ha : Std.Associative op] {xs : Array α} {a₁ a₂} :
xs.foldl op (op a₁ a₂) = op a₁ (xs.foldl op a₂) := by
rcases xs with l
@@ -4712,44 +4690,3 @@ namespace List
simp_all
end List
/-! ### Deprecations -/
namespace Array
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 getD_eq_getD_getElem? (since := "2025-02-12")] abbrev getD_eq_get? := @getD_eq_getD_getElem?
set_option linter.deprecated false in
@[deprecated getElem!_eq_getD (since := "2025-02-12")]
theorem get!_eq_getD [Inhabited α] (xs : Array α) : xs.get! n = xs.getD n default := rfl
set_option linter.deprecated false in
@[deprecated "Use `a[i]!` instead of `a.get! i`." (since := "2025-02-12")]
theorem get!_eq_getD_getElem? [Inhabited α] (xs : Array α) (i : Nat) :
xs.get! i = xs[i]?.getD default := by
by_cases p : i < xs.size <;>
simp [get!, getD_eq_getD_getElem?, p]
set_option linter.deprecated false in
@[deprecated get!_eq_getD_getElem? (since := "2025-02-12")] abbrev get!_eq_getElem? := @get!_eq_getD_getElem?
set_option linter.deprecated false in
@[deprecated "`Array.get?` is deprecated, use `a[i]?` instead." (since := "2025-02-12")]
theorem get?_eq_get?_toList (xs : Array α) (i : Nat) : xs.get? i = xs.toList.get? i := by
simp [ getElem?_toList]
set_option linter.deprecated false in
@[deprecated get!_eq_getD_getElem? (since := "2025-02-12")] abbrev get!_eq_get? := @get!_eq_getD_getElem?
/-! ### set -/
@[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
@[deprecated get_set_ne (since := "2025-02-27")] abbrev get_set_ne := @getElem_set_ne
end Array

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@@ -8,5 +8,3 @@ module
prelude
public import Init.Data.Array.Lex.Basic
public import Init.Data.Array.Lex.Lemmas
public section

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@@ -9,8 +9,8 @@ prelude
public import Init.Core
import Init.Data.Array.Basic
import Init.Data.Nat.Lemmas
import Init.Data.Range.Polymorphic.Iterators
import Init.Data.Range.Polymorphic.Nat
public import Init.Data.Range.Polymorphic.Iterators
public import Init.Data.Range.Polymorphic.Nat
import Init.Data.Iterators.Consumers
public section
@@ -31,7 +31,7 @@ Specifically, `Array.lex as bs lt` is true if
def lex [BEq α] (as bs : Array α) (lt : α α Bool := by exact (· < ·)) : Bool := Id.run do
for h : i in 0...(min as.size bs.size) do
-- TODO: `get_elem_tactic` should be able to find this itself.
have : i < min as.size bs.size := Std.PRange.lt_upper_of_mem h
have : i < min as.size bs.size := Std.Rco.lt_upper_of_mem h
if lt as[i] bs[i] then
return true
else if as[i] != bs[i] then

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@@ -42,8 +42,7 @@ protected theorem not_le_iff_gt [LT α] {xs ys : Array α} :
Classical.not_not
@[simp] theorem lex_empty [BEq α] {lt : α α Bool} {xs : Array α} : xs.lex #[] lt = false := by
rw [lex, Std.PRange.forIn'_eq_match]
simp [Std.PRange.SupportsUpperBound.IsSatisfied]
simp [lex, Std.Rco.forIn'_eq_if]
private theorem cons_lex_cons.forIn'_congr_aux [Monad m] {as bs : ρ} {_ : Membership α ρ}
[ForIn' m ρ α inferInstance] (w : as = bs)
@@ -64,13 +63,13 @@ private theorem cons_lex_cons [BEq α] {lt : αα → Bool} {a b : α} {xs
(#[a] ++ xs).lex (#[b] ++ ys) lt =
(lt a b || a == b && xs.lex ys lt) := by
simp only [lex, size_append, List.size_toArray, List.length_cons, List.length_nil, Nat.zero_add,
Nat.add_min_add_left, Nat.add_lt_add_iff_left, Std.PRange.forIn'_eq_forIn'_toList]
Nat.add_min_add_left, Nat.add_lt_add_iff_left, Std.Rco.forIn'_eq_forIn'_toList]
conv =>
lhs; congr; congr
rw [cons_lex_cons.forIn'_congr_aux Std.PRange.toList_eq_match rfl (fun _ _ _ => rfl)]
simp only [Std.PRange.SupportsUpperBound.IsSatisfied, bind_pure_comp, map_pure]
rw [cons_lex_cons.forIn'_congr_aux Std.Rco.toList_eq_if rfl (fun _ _ _ => rfl)]
simp only [bind_pure_comp, map_pure]
rw [cons_lex_cons.forIn'_congr_aux (if_pos (by omega)) rfl (fun _ _ _ => rfl)]
simp only [Std.PRange.toList_Rox_eq_toList_Rcx_of_isSome_succ? (lo := 0) (h := rfl),
simp only [Std.toList_Roo_eq_toList_Rco_of_isSome_succ? (lo := 0) (h := rfl),
Std.PRange.UpwardEnumerable.succ?, Nat.add_comm 1, Std.PRange.Nat.toList_Rco_succ_succ,
Option.get_some, List.forIn'_cons, List.size_toArray, List.length_cons, List.length_nil,
Nat.lt_add_one, getElem_append_left, List.getElem_toArray, List.getElem_cons_zero]
@@ -83,16 +82,10 @@ private theorem cons_lex_cons [BEq α] {lt : αα → Bool} {a b : α} {xs
l₁.toArray.lex l₂.toArray lt = l₁.lex l₂ lt := by
induction l₁ generalizing l₂ with
| nil =>
cases l₂
· rw [lex, Std.PRange.forIn'_eq_match]
simp [Std.PRange.SupportsUpperBound.IsSatisfied]
· rw [lex, Std.PRange.forIn'_eq_match]
simp [Std.PRange.SupportsUpperBound.IsSatisfied]
cases l₂ <;> simp [lex, Std.Rco.forIn'_eq_if]
| cons x l₁ ih =>
cases l₂ with
| nil =>
rw [lex, Std.PRange.forIn'_eq_match]
simp [Std.PRange.SupportsUpperBound.IsSatisfied]
| nil => simp [lex, Std.Rco.forIn'_eq_if]
| cons y l₂ =>
rw [List.toArray_cons, List.toArray_cons y, cons_lex_cons, List.lex, ih]

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@@ -7,5 +7,3 @@ module
prelude
public import Init.Data.Array.QSort.Basic
public section

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@@ -7,6 +7,7 @@ module
prelude
public import Init.GetElem
public import Init.Data.Array.Basic
import Init.Data.Array.GetLit
public import Init.Data.Slice.Basic

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@@ -16,5 +16,3 @@ public import Init.Data.UInt
public import Init.Data.Repr
public import Init.Data.ToString.Basic
public import Init.Data.String.Extra
public section

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@@ -13,5 +13,3 @@ public import Init.Data.BitVec.Bitblast
public import Init.Data.BitVec.Decidable
public import Init.Data.BitVec.Lemmas
public import Init.Data.BitVec.Folds
public section

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@@ -29,10 +29,6 @@ set_option linter.missingDocs true
namespace BitVec
@[inline, deprecated BitVec.ofNatLT (since := "2025-02-13"), inherit_doc BitVec.ofNatLT]
protected def ofNatLt {n : Nat} (i : Nat) (p : i < 2 ^ n) : BitVec n :=
BitVec.ofNatLT i p
section Nat
/--

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@@ -17,6 +17,7 @@ import all Init.Data.BitVec.Basic
public import Init.Data.BitVec.Decidable
public import Init.Data.BitVec.Lemmas
public import Init.Data.BitVec.Folds
import Init.BinderPredicates
@[expose] public section

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@@ -9,6 +9,7 @@ prelude
public import Init.Data.BitVec.Basic
import all Init.Data.BitVec.Basic
import Init.Data.Int.Bitwise.Lemmas
import Init.Ext
public section

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@@ -8,6 +8,7 @@ module
prelude
public import Init.Data.BitVec.Bootstrap
import Init.Ext
public section
@@ -49,11 +50,11 @@ instance instDecidableForallBitVecSucc (P : BitVec (n+1) → Prop) [DecidablePre
instance instDecidableExistsBitVecZero (P : BitVec 0 Prop) [Decidable (P 0#0)] :
Decidable ( v, P v) :=
decidable_of_iff (¬ v, ¬ P v) Classical.not_forall_not
decidable_of_iff (¬ v, ¬ P v) (by exact Classical.not_forall_not)
instance instDecidableExistsBitVecSucc (P : BitVec (n+1) Prop) [DecidablePred P]
[Decidable ( (x : Bool) (v : BitVec n), ¬ P (v.cons x))] : Decidable ( v, P v) :=
decidable_of_iff (¬ v, ¬ P v) Classical.not_forall_not
decidable_of_iff (¬ v, ¬ P v) (by exact Classical.not_forall_not)
/--
For small numerals this isn't necessary (as typeclass search can use the above two instances),

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@@ -22,6 +22,9 @@ 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 import Init.Data.List.BasicAux
import Init.Data.List.Lemmas
import Init.Data.BEq
public section
@@ -74,10 +77,6 @@ theorem some_eq_getElem?_iff {l : BitVec w} : some a = l[n]? ↔ ∃ h : n < w,
theorem getElem_of_getElem? {l : BitVec w} : l[n]? = some a h : n < w, l[n] = a :=
getElem?_eq_some_iff.mp
set_option linter.missingDocs false in
@[deprecated getElem?_eq_some_iff (since := "2025-02-17")]
abbrev getElem?_eq_some := @getElem?_eq_some_iff
theorem getElem?_eq_none_iff {l : BitVec w} : l[n]? = none w n := by
simp
@@ -350,25 +349,14 @@ theorem ofBool_eq_iff_eq : ∀ {b b' : Bool}, BitVec.ofBool b = BitVec.ofBool b'
@[simp] theorem ofBool_xor_ofBool : ofBool b ^^^ ofBool b' = ofBool (b ^^ b') := by
cases b <;> cases b' <;> rfl
@[deprecated toNat_ofNatLT (since := "2025-02-13")]
theorem toNat_ofNatLt (x : Nat) (p : x < 2^w) : (x#'p).toNat = x := rfl
@[simp, grind =] theorem getLsbD_ofNatLT {n : Nat} (x : Nat) (lt : x < 2^n) (i : Nat) :
getLsbD (x#'lt) i = x.testBit i := by
simp [getLsbD, BitVec.ofNatLT]
@[deprecated getLsbD_ofNatLT (since := "2025-02-13")]
theorem getLsbD_ofNatLt {n : Nat} (x : Nat) (lt : x < 2^n) (i : Nat) :
getLsbD (x#'lt) i = x.testBit i := getLsbD_ofNatLT x lt i
@[simp, grind =] theorem getMsbD_ofNatLT {n x i : Nat} (h : x < 2^n) :
getMsbD (x#'h) i = (decide (i < n) && x.testBit (n - 1 - i)) := by
simp [getMsbD, getLsbD]
@[deprecated getMsbD_ofNatLT (since := "2025-02-13")]
theorem getMsbD_ofNatLt {n x i : Nat} (h : x < 2^n) :
getMsbD (x#'h) i = (decide (i < n) && x.testBit (n - 1 - i)) := getMsbD_ofNatLT h
@[grind =]
theorem ofNatLT_eq_ofNat {w : Nat} {n : Nat} (hn) : BitVec.ofNatLT n hn = BitVec.ofNat w n :=
eq_of_toNat_eq (by simp [Nat.mod_eq_of_lt hn])
@@ -6361,15 +6349,4 @@ theorem two_pow_ctz_le_toNat_of_ne_zero {x : BitVec w} (hx : x ≠ 0#w) :
have hclz := getLsbD_true_ctz_of_ne_zero (x := x) hx
exact Nat.ge_two_pow_of_testBit hclz
/-! ### Deprecations -/
set_option linter.missingDocs false
@[deprecated toFin_uShiftRight (since := "2025-02-18")]
abbrev toFin_uShiftRight := @toFin_ushiftRight
end BitVec

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@@ -10,5 +10,3 @@ public import Init.Data.ByteArray.Basic
public import Init.Data.ByteArray.Bootstrap
public import Init.Data.ByteArray.Extra
public import Init.Data.ByteArray.Lemmas
public section

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@@ -13,6 +13,8 @@ import all Init.Data.UInt.BasicAux
public import Init.Data.Option.Basic
public import Init.Data.Array.Extract
set_option doc.verso true
@[expose] public section
universe u
@@ -34,24 +36,40 @@ instance : Inhabited ByteArray where
instance : EmptyCollection ByteArray where
emptyCollection := ByteArray.empty
@[simp, grind =]
theorem empty_eq_emptyc : @empty = := rfl
@[simp, grind =]
theorem emptyWithCapacity_eq_emptyc : @emptyWithCapacity n = := rfl
/--
Retrieves the size of the array as a platform-specific fixed-width integer.
Because {name}`USize` is big enough to address all memory on every platform that Lean supports,
there are in practice no {name}`ByteArray`s that have more elements that {name}`USize` can count.
-/
@[extern "lean_sarray_size", simp]
def usize (a : @& ByteArray) : USize :=
a.size.toUSize
/--
Retrieves the byte at the indicated index. Callers must prove that the index is in bounds. The index
is represented by a platform-specific fixed-width integer (either 32 or 64 bits).
Because {name}`USize` is big enough to address all memory on every platform that Lean supports, there are
in practice no {name}`ByteArray`s for which {name}`uget` cannot retrieve all elements.
-/
@[extern "lean_byte_array_uget"]
def uget : (a : @& ByteArray) (i : USize) (h : i.toNat < a.size := by get_elem_tactic) UInt8
| bs, i, h => bs[i]
/--
Retrieves the byte at the indicated index. Panics if the index is out of bounds.
-/
@[extern "lean_byte_array_get"]
def get! : (@& ByteArray) (@& Nat) UInt8
| bs, i => bs[i]!
/--
Retrieves the byte at the indicated index. Callers must prove that the index is in bounds.
Use {name}`uget` for a more efficient alternative or {name}`get!` for a variant that panics if the
index is out of bounds.
-/
@[extern "lean_byte_array_fget"]
def get : (a : @& ByteArray) (i : @& Nat) (h : i < a.size := by get_elem_tactic) UInt8
| bs, i, _ => bs[i]
@@ -62,37 +80,65 @@ instance : GetElem ByteArray Nat UInt8 fun xs i => i < xs.size where
instance : GetElem ByteArray USize UInt8 fun xs i => i.toFin < xs.size where
getElem xs i h := xs.uget i h
/--
Replaces the byte at the given index.
The array is modified in-place if there are no other references to it.
If the index is out of bounds, the array is returned unmodified.
-/
@[extern "lean_byte_array_set"]
def set! : ByteArray (@& Nat) UInt8 ByteArray
| bs, i, b => bs.set! i b
/--
Replaces the byte at the given index.
No bounds check is performed, but the function requires a proof that the index is in bounds. This
proof can usually be omitted, and will be synthesized automatically.
The array is modified in-place if there are no other references to it.
-/
@[extern "lean_byte_array_fset"]
def set : (a : ByteArray) (i : @& Nat) UInt8 (h : i < a.size := by get_elem_tactic) ByteArray
| bs, i, b, h => bs.set i b h
@[extern "lean_byte_array_uset"]
@[extern "lean_byte_array_uset", inherit_doc ByteArray.set]
def uset : (a : ByteArray) (i : USize) UInt8 (h : i.toNat < a.size := by get_elem_tactic) ByteArray
| bs, i, v, h => bs.uset i v h
/--
Computes a hash for a {name}`ByteArray`.
-/
@[extern "lean_byte_array_hash"]
protected opaque hash (a : @& ByteArray) : UInt64
instance : Hashable ByteArray where
hash := ByteArray.hash
/--
Returns {name}`true` when {name}`s` contains zero bytes.
-/
def isEmpty (s : ByteArray) : Bool :=
s.size == 0
/--
Copy the slice at `[srcOff, srcOff + len)` in `src` to `[destOff, destOff + len)` in `dest`, growing `dest` if necessary.
If `exact` is `false`, the capacity will be doubled when grown. -/
Copies the slice at `[srcOff, srcOff + len)` in {name}`src` to `[destOff, destOff + len)` in
{name}`dest`, growing {name}`dest` if necessary. If {name}`exact` is {name}`false`, the capacity
will be doubled when grown.
-/
@[extern "lean_byte_array_copy_slice"]
def copySlice (src : @& ByteArray) (srcOff : Nat) (dest : ByteArray) (destOff len : Nat) (exact : Bool := true) : ByteArray :=
dest.data.extract 0 destOff ++ src.data.extract srcOff (srcOff + len) ++ dest.data.extract (destOff + min len (src.data.size - srcOff)) dest.data.size
/--
Copies the bytes with indices {name}`b` (inclusive) to {name}`e` (exclusive) to a new
{name}`ByteArray`.
-/
def extract (a : ByteArray) (b e : Nat) : ByteArray :=
a.copySlice b empty 0 (e - b)
@[inline]
protected def fastAppend (a : ByteArray) (b : ByteArray) : ByteArray :=
-- we assume that `append`s may be repeated, so use asymptotic growing; use `copySlice` directly to customize
b.copySlice 0 a a.size b.size false
@@ -119,6 +165,9 @@ theorem append_eq {a b : ByteArray} : a.append b = a ++ b := rfl
theorem fastAppend_eq {a b : ByteArray} : a.fastAppend b = a ++ b := by
simp [ append_eq_fastAppend]
/--
Converts a packed array of bytes to a linked list.
-/
def toList (bs : ByteArray) : List UInt8 :=
let rec loop (i : Nat) (r : List UInt8) :=
if i < bs.size then
@@ -129,16 +178,12 @@ def toList (bs : ByteArray) : List UInt8 :=
decreasing_by decreasing_trivial_pre_omega
loop 0 []
@[inline] def findIdx? (a : ByteArray) (p : UInt8 Bool) (start := 0) : Option Nat :=
let rec @[specialize] loop (i : Nat) :=
if h : i < a.size then
if p a[i] then some i else loop (i+1)
else
none
termination_by a.size - i
decreasing_by decreasing_trivial_pre_omega
loop start
/--
Finds the index of the first byte in {name}`a` for which {name}`p` returns {name}`true`. If no byte
in {name}`a` satisfies {name}`p`, then the result is {name}`none`.
The index is returned along with a proof that it is a valid index in the array.
-/
@[inline] def findFinIdx? (a : ByteArray) (p : UInt8 Bool) (start := 0) : Option (Fin a.size) :=
let rec @[specialize] loop (i : Nat) :=
if h : i < a.size then
@@ -150,11 +195,29 @@ def toList (bs : ByteArray) : List UInt8 :=
loop start
/--
We claim this unsafe implementation is correct because an array cannot have more than `usizeSz` elements in our runtime.
This is similar to the `Array` version.
Finds the index of the first byte in {name}`a` for which {name}`p` returns {name}`true`. If no byte
in {name}`a` satisfies {name}`p`, then the result is {name}`none`.
TODO: avoid code duplication in the future after we improve the compiler.
The variant {name}`findFinIdx?` additionally returns a proof that the found index is in bounds.
-/
@[inline] def findIdx? (a : ByteArray) (p : UInt8 Bool) (start := 0) : Option Nat :=
let rec @[specialize] loop (i : Nat) :=
if h : i < a.size then
if p a[i] then some i else loop (i+1)
else
none
termination_by a.size - i
decreasing_by decreasing_trivial_pre_omega
loop start
/--
An efficient implementation of {name}`ForIn.forIn` for {name}`ByteArray` that uses {name}`USize`
rather than {name}`Nat` for indices.
We claim this unsafe implementation is correct because an array cannot have more than
{name}`USize.size` elements in our runtime. This is similar to the {name}`Array` version.
-/
-- TODO: avoid code duplication in the future after we improve the compiler.
@[inline] unsafe def forInUnsafe {β : Type v} {m : Type v Type w} [Monad m] (as : ByteArray) (b : β) (f : UInt8 β m (ForInStep β)) : m β :=
let sz := as.usize
let rec @[specialize] loop (i : USize) (b : β) : m β := do
@@ -167,7 +230,11 @@ def toList (bs : ByteArray) : List UInt8 :=
pure b
loop 0 b
/-- Reference implementation for `forIn` -/
/--
The reference implementation of {name}`ForIn.forIn` for {name}`ByteArray`.
In compiled code, this is replaced by the more efficient {name}`ByteArray.forInUnsafe`.
-/
@[implemented_by ByteArray.forInUnsafe]
protected def forIn {β : Type v} {m : Type v Type w} [Monad m] (as : ByteArray) (b : β) (f : UInt8 β m (ForInStep β)) : m β :=
let rec loop (i : Nat) (h : i as.size) (b : β) : m β := do
@@ -185,7 +252,13 @@ protected def forIn {β : Type v} {m : Type v → Type w} [Monad m] (as : ByteAr
instance : ForIn m ByteArray UInt8 where
forIn := ByteArray.forIn
/-- See comment at `forInUnsafe` -/
/--
An efficient implementation of a monadic left fold on for {name}`ByteArray` that uses {name}`USize`
rather than {name}`Nat` for indices.
We claim this unsafe implementation is correct because an array cannot have more than
{name}`USize.size` elements in our runtime. This is similar to the {name}`Array` version.
-/
-- TODO: avoid code duplication.
@[inline]
unsafe def foldlMUnsafe {β : Type v} {m : Type v Type w} [Monad m] (f : β UInt8 m β) (init : β) (as : ByteArray) (start := 0) (stop := as.size) : m β :=
@@ -202,7 +275,14 @@ unsafe def foldlMUnsafe {β : Type v} {m : Type v → Type w} [Monad m] (f : β
else
pure init
/-- Reference implementation for `foldlM` -/
/--
A monadic left fold on {name}`ByteArray` that iterates over an array from low to high indices,
computing a running value.
Each element of the array is combined with the value from the prior elements using a monadic
function {name}`f`. The initial value {name}`init` is the starting value before any elements have
been processed.
-/
@[implemented_by foldlMUnsafe]
def foldlM {β : Type v} {m : Type v Type w} [Monad m] (f : β UInt8 m β) (init : β) (as : ByteArray) (start := 0) (stop := as.size) : m β :=
let fold (stop : Nat) (h : stop as.size) :=
@@ -220,11 +300,23 @@ def foldlM {β : Type v} {m : Type v → Type w} [Monad m] (f : β → UInt8 →
else
fold as.size (Nat.le_refl _)
/--
A left fold on {name}`ByteArray` that iterates over an array from low to high indices, computing a
running value.
Each element of the array is combined with the value from the prior elements using a function
{name}`f`. The initial value {name}`init` is the starting value before any elements have been
processed.
{name}`ByteArray.foldlM` is a monadic variant of this function.
-/
@[inline]
def foldl {β : Type v} (f : β UInt8 β) (init : β) (as : ByteArray) (start := 0) (stop := as.size) : β :=
Id.run <| as.foldlM (pure <| f · ·) init start stop
/-- Iterator over the bytes (`UInt8`) of a `ByteArray`.
set_option doc.verso false -- Awaiting intra-module forward reference support
/--
Iterator over the bytes (`UInt8`) of a `ByteArray`.
Typically created by `arr.iter`, where `arr` is a `ByteArray`.
@@ -248,6 +340,7 @@ structure Iterator where
current byte is `(default : UInt8)`. -/
idx : Nat
deriving Inhabited
set_option doc.verso true
/-- Creates an iterator at the beginning of an array. -/
def mkIterator (arr : ByteArray) : Iterator :=
@@ -265,16 +358,25 @@ theorem Iterator.sizeOf_eq (i : Iterator) : sizeOf i = i.array.size - i.idx :=
namespace Iterator
/-- Number of bytes remaining in the iterator. -/
/--
The number of bytes remaining in the iterator.
-/
def remainingBytes : Iterator Nat
| arr, i => arr.size - i
@[inherit_doc Iterator.idx]
def pos := Iterator.idx
/-- The byte at the current position.
/-- True if the iterator is past the array's last byte. -/
@[inline]
def atEnd : Iterator Bool
| arr, i => i arr.size
On an invalid position, returns `(default : UInt8)`. -/
/--
The byte at the current position.
On an invalid position, returns {lean}`(default : UInt8)`.
-/
@[inline]
def curr : Iterator UInt8
| arr, i =>
@@ -283,27 +385,28 @@ def curr : Iterator → UInt8
else
default
/-- Moves the iterator's position forward by one byte, unconditionally.
/--
Moves the iterator's position forward by one byte, unconditionally.
It is only valid to call this function if the iterator is not at the end of the array, *i.e.*
`Iterator.atEnd` is `false`; otherwise, the resulting iterator will be invalid. -/
{name}`Iterator.atEnd` is {name}`false`; otherwise, the resulting iterator will be invalid.
-/
@[inline]
def next : Iterator Iterator
| arr, i => arr, i + 1
/-- Decreases the iterator's position.
/--
Decreases the iterator's position.
If the position is zero, this function is the identity. -/
If the position is zero, this function is the identity.
-/
@[inline]
def prev : Iterator Iterator
| arr, i => arr, i - 1
/-- True if the iterator is past the array's last byte. -/
@[inline]
def atEnd : Iterator Bool
| arr, i => i arr.size
/-- True if the iterator is not past the array's last byte. -/
/--
True if the iterator is valid; that is, it is not past the array's last byte.
-/
@[inline]
def hasNext : Iterator Bool
| arr, i => i < arr.size
@@ -329,17 +432,21 @@ def next' (it : Iterator) (_h : it.hasNext) : Iterator :=
def hasPrev : Iterator Bool
| _, i => i > 0
/-- Moves the iterator's position to the end of the array.
/--
Moves the iterator's position to the end of the array.
Note that `i.toEnd.atEnd` is always `true`. -/
Given {given}`i : ByteArray.Iterator`, note that {lean}`i.toEnd.atEnd` is always {name}`true`.
-/
@[inline]
def toEnd : Iterator Iterator
| arr, _ => arr, arr.size
/-- Moves the iterator's position several bytes forward.
/--
Moves the iterator's position several bytes forward.
The resulting iterator is only valid if the number of bytes to skip is less than or equal to
the number of bytes left in the iterator. -/
the number of bytes left in the iterator.
-/
@[inline]
def forward : Iterator Nat Iterator
| arr, i, f => arr, i + f
@@ -347,9 +454,11 @@ def forward : Iterator → Nat → Iterator
@[inherit_doc forward, inline]
def nextn : Iterator Nat Iterator := forward
/-- Moves the iterator's position several bytes back.
/--
Moves the iterator's position several bytes back.
If asked to go back more bytes than available, stops at the beginning of the array. -/
If asked to go back more bytes than available, stops at the beginning of the array.
-/
@[inline]
def prevn : Iterator Nat Iterator
| arr, i, f => arr, i - f

View File

@@ -10,12 +10,19 @@ public import Init.Prelude
public import Init.Data.List.Basic
public section
set_option doc.verso true
namespace ByteArray
@[simp]
theorem data_push {a : ByteArray} {b : UInt8} : (a.push b).data = a.data.push b := rfl
/--
Appends two byte arrays.
In compiled code, calls to {name}`ByteArray.append` are replaced with the much more efficient
{name (scope:="Init.Data.ByteArray.Basic")}`ByteArray.fastAppend`.
-/
@[expose]
protected def append (a b : ByteArray) : ByteArray :=
a.data.toList ++ b.data.toList

View File

@@ -9,7 +9,13 @@ prelude
public import Init.Data.ByteArray.Basic
import Init.Data.String.Basic
/-- Interpret a `ByteArray` of size 8 as a little-endian `UInt64`. -/
set_option doc.verso true
/--
Interprets a {name}`ByteArray` of size 8 as a little-endian {name}`UInt64`.
Panics if the array's size is not 8.
-/
public def ByteArray.toUInt64LE! (bs : ByteArray) : UInt64 :=
assert! bs.size == 8
(bs.get! 7).toUInt64 <<< 0x38 |||
@@ -21,7 +27,11 @@ public def ByteArray.toUInt64LE! (bs : ByteArray) : UInt64 :=
(bs.get! 1).toUInt64 <<< 0x8 |||
(bs.get! 0).toUInt64
/-- Interpret a `ByteArray` of size 8 as a big-endian `UInt64`. -/
/--
Interprets a {name}`ByteArray` of size 8 as a big-endian {name}`UInt64`.
Panics if the array's size is not 8.
-/
public def ByteArray.toUInt64BE! (bs : ByteArray) : UInt64 :=
assert! bs.size == 8
(bs.get! 0).toUInt64 <<< 0x38 |||

View File

@@ -11,10 +11,15 @@ public import Init.Data.Array.Extract
public section
theorem ByteArray.data_empty : ByteArray.empty.data = #[] := rfl
-- At present the preferred normal form for empty byte arrays is `ByteArray.empty`
@[simp]
theorem emptyc_eq_empty : ( : ByteArray) = ByteArray.empty := rfl
@[simp]
theorem ByteArray.data_emptyc : ( : ByteArray).data = #[] := rfl
theorem emptyWithCapacity_eq_empty : ByteArray.emptyWithCapacity 0 = ByteArray.empty := rfl
@[simp]
theorem ByteArray.data_empty : ByteArray.empty.data = #[] := rfl
@[simp]
theorem ByteArray.data_extract {a : ByteArray} {b e : Nat} :
@@ -30,7 +35,7 @@ theorem ByteArray.extract_zero_size {b : ByteArray} : b.extract 0 b.size = b :=
simp
@[simp]
theorem ByteArray.extract_same {b : ByteArray} {i : Nat} : b.extract i i = := by
theorem ByteArray.extract_same {b : ByteArray} {i : Nat} : b.extract i i = ByteArray.empty := by
ext1
simp [Nat.min_le_left]
@@ -52,11 +57,8 @@ theorem ByteArray.data_append {l l' : ByteArray} :
(l ++ l').data = l.data ++ l'.data := by
simp [ Array.toList_inj]
theorem ByteArray.size_empty : ByteArray.empty.size = 0 := by
simp [ ByteArray.size_data]
@[simp]
theorem ByteArray.size_emptyc : ( : ByteArray).size = 0 := by
theorem ByteArray.size_empty : ByteArray.empty.size = 0 := by
simp [ ByteArray.size_data]
@[simp]
@@ -64,7 +66,7 @@ theorem List.data_toByteArray {l : List UInt8} :
l.toByteArray.data = l.toArray := by
rw [List.toByteArray]
suffices a b, (List.toByteArray.loop a b).data = b.data ++ a.toArray by
simpa using this l
simpa using this l ByteArray.empty
intro a b
fun_induction List.toByteArray.loop a b with simp_all
@@ -74,15 +76,15 @@ theorem List.size_toByteArray {l : List UInt8} :
simp [ ByteArray.size_data]
@[simp]
theorem List.toByteArray_nil : List.toByteArray [] = := rfl
theorem List.toByteArray_nil : List.toByteArray [] = ByteArray.empty := rfl
@[simp]
theorem ByteArray.empty_append {b : ByteArray} : ++ b = b := by
theorem ByteArray.empty_append {b : ByteArray} : ByteArray.empty ++ b = b := by
ext1
simp
@[simp]
theorem ByteArray.append_empty {b : ByteArray} : b ++ = b := by
theorem ByteArray.append_empty {b : ByteArray} : b ++ ByteArray.empty = b := by
ext1
simp
@@ -91,7 +93,7 @@ theorem ByteArray.size_append {a b : ByteArray} : (a ++ b).size = a.size + b.siz
simp [ size_data]
@[simp]
theorem ByteArray.size_eq_zero_iff {a : ByteArray} : a.size = 0 a = := by
theorem ByteArray.size_eq_zero_iff {a : ByteArray} : a.size = 0 a = ByteArray.empty := by
refine fun h => ?_, fun h => h ByteArray.size_empty
ext1
simp [ Array.size_eq_zero_iff, h]
@@ -126,23 +128,23 @@ theorem ByteArray.size_extract {a : ByteArray} {b e : Nat} :
simp [ size_data]
@[simp]
theorem ByteArray.extract_eq_empty_iff {b : ByteArray} {i j : Nat} : b.extract i j = min j b.size i := by
theorem ByteArray.extract_eq_empty_iff {b : ByteArray} {i j : Nat} : b.extract i j = ByteArray.empty min j b.size i := by
rw [ size_eq_zero_iff, size_extract]
omega
@[simp]
theorem ByteArray.extract_add_left {b : ByteArray} {i j : Nat} : b.extract (i + j) i = := by
theorem ByteArray.extract_add_left {b : ByteArray} {i j : Nat} : b.extract (i + j) i = ByteArray.empty := by
simp only [extract_eq_empty_iff]
exact Nat.le_trans (Nat.min_le_left _ _) (by simp)
@[simp]
theorem ByteArray.append_eq_empty_iff {a b : ByteArray} :
a ++ b = a = b = := by
a ++ b = ByteArray.empty a = ByteArray.empty b = ByteArray.empty := by
simp [ size_eq_zero_iff, size_append]
@[simp]
theorem List.toByteArray_eq_empty {l : List UInt8} :
l.toByteArray = l = [] := by
l.toByteArray = ByteArray.empty l = [] := by
simp [ ByteArray.size_eq_zero_iff]
theorem ByteArray.append_right_inj {ys₁ ys₂ : ByteArray} (xs : ByteArray) :
@@ -165,9 +167,9 @@ theorem ByteArray.append_inj_left {xs₁ xs₂ ys₁ ys₂ : ByteArray} (h : xs
simp only [ByteArray.ext_iff, ByteArray.size_data, ByteArray.data_append] at *
exact Array.append_inj_left h hl
theorem ByteArray.extract_append_eq_right {a b : ByteArray} {i : Nat} (hi : i = a.size) :
(a ++ b).extract i (a ++ b).size = b := by
subst hi
theorem ByteArray.extract_append_eq_right {a b : ByteArray} {i j : Nat} (hi : i = a.size) (hj : j = a.size + b.size) :
(a ++ b).extract i j = b := by
subst hi hj
ext1
simp [ size_data]
@@ -247,10 +249,8 @@ theorem ByteArray.append_assoc {a b c : ByteArray} : a ++ b ++ c = a ++ (b ++ c)
simp
@[simp]
theorem ByteArray.toList_empty : ( : ByteArray).toList = [] := by
simp [ByteArray.toList]
rw [toList.loop]
simp
theorem ByteArray.toList_empty : ByteArray.empty.toList = [] := by
simp [ByteArray.toList, ByteArray.toList.loop]
theorem ByteArray.copySlice_eq_append {src : ByteArray} {srcOff : Nat} {dest : ByteArray} {destOff len : Nat} {exact : Bool} :
ByteArray.copySlice src srcOff dest destOff len exact =

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@@ -9,5 +9,3 @@ 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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@@ -9,6 +9,7 @@ prelude
public import Init.Data.Rat.Lemmas
import Init.Data.Int.Bitwise.Lemmas
import Init.Data.Int.DivMod.Lemmas
import Init.Hints
/-!
# The dyadic rationals

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@@ -11,5 +11,3 @@ public import Init.Data.Fin.Log2
public import Init.Data.Fin.Iterate
public import Init.Data.Fin.Fold
public import Init.Data.Fin.Lemmas
public section

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@@ -140,7 +140,7 @@ Modulus of bounded numbers, usually invoked via the `%` operator.
The resulting value is that computed by the `%` operator on `Nat`.
-/
protected def mod : Fin n Fin n Fin n
| a, h, b, _ => a % b, Nat.lt_of_le_of_lt (Nat.mod_le _ _) h
| a, h, b, _ => a % b, by exact Nat.lt_of_le_of_lt (Nat.mod_le _ _) h
/--
Division of bounded numbers, usually invoked via the `/` operator.
@@ -154,7 +154,7 @@ Examples:
* `(5 : Fin 10) / (7 : Fin 10) = (0 : Fin 10)`
-/
protected def div : Fin n Fin n Fin n
| a, h, b, _ => a / b, Nat.lt_of_le_of_lt (Nat.div_le_self _ _) h
| a, h, b, _ => a / b, by exact Nat.lt_of_le_of_lt (Nat.div_le_self _ _) h
/--
Modulus of bounded numbers with respect to a `Nat`.
@@ -162,7 +162,7 @@ Modulus of bounded numbers with respect to a `Nat`.
The resulting value is that computed by the `%` operator on `Nat`.
-/
def modn : Fin n Nat Fin n
| a, h, m => a % m, Nat.lt_of_le_of_lt (Nat.mod_le _ _) h
| a, h, m => a % m, by exact Nat.lt_of_le_of_lt (Nat.mod_le _ _) h
/--
Bitwise and.

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@@ -7,7 +7,6 @@ module
prelude
public import Init.Data.Nat.Lemmas
public import Init.Data.Int.DivMod.Lemmas
public import Init.Ext
public import Init.ByCases
public import Init.Conv
@@ -15,7 +14,7 @@ public import Init.Omega
public import Init.Data.Order.Factories
import Init.Data.Order.Lemmas
public section
@[expose] public section
open Std
@@ -327,7 +326,9 @@ theorem subsingleton_iff_le_one : Subsingleton (Fin n) ↔ n ≤ 1 := by
(match n with | 0 | 1 | n+2 => ?_) <;> try simp
· exact nofun
· exact fun 0, _ 0, _ => rfl
· exact fun h => by have := zero_lt_one (n := n); simp_all [h.elim 0 1]
· have : ¬ n + 2 1 := by simp [Nat.not_le]
simp only [this, iff_false]
exact fun h => by have := zero_lt_one (n := n); simp_all [h.elim 0 1]
instance subsingleton_zero : Subsingleton (Fin 0) := subsingleton_iff_le_one.2 (by decide)
@@ -914,16 +915,21 @@ theorem exists_fin_succ {P : Fin (n + 1) → Prop} : (∃ i, P i) ↔ P 0
fun i, h => Fin.cases Or.inl (fun i hi => Or.inr i, hi) i h, fun h =>
(h.elim fun h => 0, h) fun i, hi => i.succ, hi
theorem forall_fin_one {p : Fin 1 Prop} : ( i, p i) p 0 :=
@[simp] theorem forall_fin_zero {p : Fin 0 Prop} : ( i, p i) True :=
fun _ => trivial, fun _ _, h => False.elim <| Nat.not_lt_zero _ h
@[simp] theorem exists_fin_zero {p : Fin 0 Prop} : ( i, p i) False := by simp
@[simp] theorem forall_fin_one {p : Fin 1 Prop} : ( i, p i) p 0 :=
fun h => h _, fun h i => Subsingleton.elim i 0 h
theorem exists_fin_one {p : Fin 1 Prop} : ( i, p i) p 0 :=
@[simp] theorem exists_fin_one {p : Fin 1 Prop} : ( i, p i) p 0 :=
fun i, h => Subsingleton.elim i 0 h, fun h => _, h
theorem forall_fin_two {p : Fin 2 Prop} : ( i, p i) p 0 p 1 :=
@[simp] theorem forall_fin_two {p : Fin 2 Prop} : ( i, p i) p 0 p 1 :=
forall_fin_succ.trans <| and_congr_right fun _ => forall_fin_one
theorem exists_fin_two {p : Fin 2 Prop} : ( i, p i) p 0 p 1 :=
@[simp] theorem exists_fin_two {p : Fin 2 Prop} : ( i, p i) p 0 p 1 :=
exists_fin_succ.trans <| or_congr_right exists_fin_one
theorem fin_two_eq_of_eq_zero_iff : {a b : Fin 2}, (a = 0 b = 0) a = b := by

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@@ -7,5 +7,3 @@ module
prelude
public import Init.Data.FloatArray.Basic
public section

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@@ -10,5 +10,3 @@ public import Init.Data.Format.Basic
public import Init.Data.Format.Macro
public import Init.Data.Format.Instances
public import Init.Data.Format.Syntax
public section

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@@ -51,5 +51,5 @@ Converts a string to a pretty-printer document, replacing newlines in the string
def String.toFormat (s : String) : Std.Format :=
Std.Format.joinSep (s.splitOn "\n") Std.Format.line
instance : ToFormat String.Pos where
instance : ToFormat String.Pos.Raw where
format p := format p.byteIdx

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@@ -16,7 +16,7 @@ universe u
instance : Hashable Nat where
hash n := UInt64.ofNat n
instance : Hashable String.Pos where
instance : Hashable String.Pos.Raw where
hash p := UInt64.ofNat p.byteIdx
instance [Hashable α] [Hashable β] : Hashable (α × β) where
@@ -76,22 +76,3 @@ instance (P : Prop) : Hashable P where
/-- An opaque (low-level) hash operation used to implement hashing for pointers. -/
@[always_inline, inline] def hash64 (u : UInt64) : UInt64 :=
mixHash u 11
/--
The `BEq α` and `Hashable α` instances on `α` are compatible. This means that that `a == b` implies
`hash a = hash b`.
This is automatic if the `BEq` instance is lawful.
-/
class LawfulHashable (α : Type u) [BEq α] [Hashable α] where
/-- If `a == b`, then `hash a = hash b`. -/
hash_eq (a b : α) : a == b hash a = hash b
/--
A lawful hash function respects its Boolean equality test.
-/
theorem hash_eq [BEq α] [Hashable α] [LawfulHashable α] {a b : α} : a == b hash a = hash b :=
LawfulHashable.hash_eq a b
instance (priority := low) [BEq α] [Hashable α] [LawfulBEq α] : LawfulHashable α where
hash_eq _ _ h := eq_of_beq h rfl

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@@ -18,5 +18,3 @@ public import Init.Data.Int.Pow
public import Init.Data.Int.Cooper
public import Init.Data.Int.Linear
public import Init.Data.Int.OfNat
public section

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@@ -8,5 +8,3 @@ module
prelude
public import Init.Data.Int.Bitwise.Basic
public import Init.Data.Int.Bitwise.Lemmas
public section

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@@ -9,6 +9,7 @@ prelude
public import Init.Data.Ord.Basic
import all Init.Data.Ord.Basic
public import Init.Data.Int.Order
import Init.Omega
public section

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@@ -9,5 +9,3 @@ prelude
public import Init.Data.Int.DivMod.Basic
public import Init.Data.Int.DivMod.Bootstrap
public import Init.Data.Int.DivMod.Lemmas
public section

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@@ -206,9 +206,6 @@ theorem ediv_nonneg_iff_of_pos {a b : Int} (h : 0 < b) : 0 ≤ a / b ↔ 0 ≤ a
| Int.ofNat (b+1), _ =>
rcases a with a <;> simp [Int.ediv, -natCast_ediv]
@[deprecated ediv_nonneg_iff_of_pos (since := "2025-02-28")]
abbrev div_nonneg_iff_of_pos := @ediv_nonneg_iff_of_pos
/-! ### emod -/
theorem emod_nonneg : (a : Int) {b : Int}, b 0 0 a % b

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@@ -13,6 +13,7 @@ public import Init.Data.Int.Order
public import Init.Data.Int.Lemmas
public import Init.Data.Nat.Dvd
public import Init.RCases
import Init.TacticsExtra
public section
@@ -122,8 +123,8 @@ theorem eq_one_of_mul_eq_one_right {a b : Int} (H : 0 ≤ a) (H' : a * b = 1) :
theorem eq_one_of_mul_eq_one_left {a b : Int} (H : 0 b) (H' : a * b = 1) : b = 1 :=
eq_one_of_mul_eq_one_right (b := a) H <| by rw [Int.mul_comm, H']
instance decidableDvd : DecidableRel (α := Int) (· ·) := fun _ _ =>
decidable_of_decidable_of_iff (dvd_iff_emod_eq_zero ..).symm
instance decidableDvd : DecidableRel (α := Int) (· ·) := fun a b =>
decidable_of_decidable_of_iff (p := b % a = 0) (by exact (dvd_iff_emod_eq_zero ..).symm)
protected theorem mul_dvd_mul_iff_left {a b c : Int} (h : a 0) : (a * b) (a * c) b c :=
by rintro d, h'; exact d, by rw [Int.mul_assoc] at h'; exact (mul_eq_mul_left_iff h).mp h',

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@@ -8,7 +8,6 @@ module
prelude
public import Init.Data.Int.Order
public import Init.Data.Int.Pow
public import Init.Data.Int.DivMod.Lemmas
public import Init.Omega
public section

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@@ -88,6 +88,20 @@ 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]
theorem eq_eq {a b : Nat} {a' b' : Int}
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : (a = b) = (a' = b') := by
simp [ h₁, h₂]; constructor
next => intro; subst a; rfl
next => simp [Int.natCast_inj]
theorem lt_eq {a b : Nat} {a' b' : Int}
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : (a < b) = (a' < b') := by
simp only [ h₁, h₂, Int.ofNat_lt]
theorem le_eq {a b : Nat} {a' b' : Int}
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : (a b) = (a' b') := by
simp only [ h₁, h₂, Int.ofNat_le]
end Nat.ToInt
namespace Int.Nonneg

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@@ -1347,8 +1347,6 @@ theorem neg_of_sign_eq_neg_one : ∀ {a : Int}, sign a = -1 → a < 0
| 0 => Int.mul_zero _
| -[_+1] => Int.mul_neg_one _
@[deprecated mul_sign_self (since := "2025-02-24")] abbrev mul_sign := @mul_sign_self
@[simp] theorem sign_mul_self (i : Int) : sign i * i = natAbs i := by
rw [Int.mul_comm, mul_sign_self]

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@@ -50,14 +50,9 @@ protected theorem pow_ne_zero {n : Int} {m : Nat} : n ≠ 0 → n ^ m ≠ 0 := b
instance {n : Int} {m : Nat} [NeZero n] : NeZero (n ^ m) := Int.pow_ne_zero (NeZero.ne _)
@[deprecated Nat.pow_le_pow_left (since := "2025-02-17")]
abbrev pow_le_pow_of_le_left := @Nat.pow_le_pow_left
@[deprecated Nat.pow_le_pow_right (since := "2025-02-17")]
abbrev pow_le_pow_of_le_right := @Nat.pow_le_pow_right
-- This can't be removed until the next update-stage0
@[deprecated Nat.pow_pos (since := "2025-02-17")]
abbrev pos_pow_of_pos := @Nat.pow_pos
abbrev _root_.Nat.pos_pow_of_pos := @Nat.pow_pos
@[simp, norm_cast]
protected theorem natCast_pow (b n : Nat) : ((b^n : Nat) : Int) = (b : Int) ^ n := by

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@@ -9,5 +9,3 @@ prelude
public import Init.Data.Iterators.Combinators.Monadic
public import Init.Data.Iterators.Combinators.FilterMap
public import Init.Data.Iterators.Combinators.ULift
public section

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@@ -8,5 +8,3 @@ module
prelude
public import Init.Data.Iterators.Combinators.Monadic.FilterMap
public import Init.Data.Iterators.Combinators.Monadic.ULift
public section

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@@ -13,5 +13,3 @@ public import Init.Data.Iterators.Consumers.Loop
public import Init.Data.Iterators.Consumers.Partial
public import Init.Data.Iterators.Consumers.Stream
public section

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@@ -10,5 +10,3 @@ public import Init.Data.Iterators.Consumers.Monadic.Access
public import Init.Data.Iterators.Consumers.Monadic.Collect
public import Init.Data.Iterators.Consumers.Monadic.Loop
public import Init.Data.Iterators.Consumers.Monadic.Partial
public section

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@@ -8,5 +8,3 @@ module
prelude
public import Init.Data.Iterators.Internal.LawfulMonadLiftFunction
public import Init.Data.Iterators.Internal.Termination
public section

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@@ -8,5 +8,3 @@ module
prelude
public import Init.Data.Iterators.Lemmas.Consumers
public import Init.Data.Iterators.Lemmas.Combinators
public section

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@@ -10,5 +10,3 @@ public import Init.Data.Iterators.Lemmas.Combinators.Attach
public import Init.Data.Iterators.Lemmas.Combinators.Monadic
public import Init.Data.Iterators.Lemmas.Combinators.FilterMap
public import Init.Data.Iterators.Lemmas.Combinators.ULift
public section

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@@ -195,8 +195,7 @@ theorem Iter.step_mapM {f : β → n γ}
match step with
| .yield it' out h =>
simp only [bind_pure_comp]
simp only [Functor.map,
]
simp only [Functor.map]
rfl
| .skip it' h => rfl
| .done h => rfl
@@ -317,4 +316,119 @@ theorem Iter.toArray_filter
(it.filter f).toArray = it.toArray.filter f := by
simp [filter_eq_toIter_filter_toIterM, IterM.toArray_filter, Iter.toArray_eq_toArray_toIterM]
section Fold
theorem Iter.foldM_filterMapM {α β γ δ : Type w} {m : Type w Type w'} {n : Type w Type w''}
[Iterator α Id β] [Finite α Id] [Monad m] [Monad n] [LawfulMonad m] [LawfulMonad n]
[IteratorLoop α Id Id] [IteratorLoop α Id m] [IteratorLoop α Id n]
[MonadLiftT m n] [LawfulMonadLiftT m n]
[LawfulIteratorLoop α Id Id] [LawfulIteratorLoop α Id m] [LawfulIteratorLoop α Id n]
{f : β m (Option γ)} {g : δ γ n δ} {init : δ} {it : Iter (α := α) β} :
(it.filterMapM f).foldM (init := init) g =
it.foldM (init := init) (fun d b => do
let some c f b | pure d
g d c) := by
rw [foldM_eq_foldM_toIterM, filterMapM_eq_toIter_filterMapM_toIterM, IterM.foldM_filterMapM]
congr
simp [instMonadLiftTOfMonadLift, Id.instMonadLiftTOfPure]
theorem Iter.foldM_mapM {α β γ δ : Type w} {m : Type w Type w'} {n : Type w Type w''}
[Iterator α Id β] [Finite α Id] [Monad m] [Monad n] [LawfulMonad m] [LawfulMonad n]
[IteratorLoop α Id m] [IteratorLoop α Id n]
[LawfulIteratorLoop α Id m] [LawfulIteratorLoop α Id n]
[MonadLiftT m n] [LawfulMonadLiftT m n]
{f : β m γ} {g : δ γ n δ} {init : δ} {it : Iter (α := α) β} :
(it.mapM f).foldM (init := init) g =
it.foldM (init := init) (fun d b => do let c f b; g d c) := by
rw [foldM_eq_foldM_toIterM, mapM_eq_toIter_mapM_toIterM, IterM.foldM_mapM]
congr
simp [instMonadLiftTOfMonadLift, Id.instMonadLiftTOfPure]
theorem Iter.foldM_filterMap {α β γ : Type w} {δ : Type x} {m : Type x Type w'}
[Iterator α Id β] [Finite α Id] [Monad m] [LawfulMonad m]
[IteratorLoop α Id m] [LawfulIteratorLoop α Id m]
{f : β Option γ} {g : δ γ m δ} {init : δ} {it : Iter (α := α) β} :
(it.filterMap f).foldM (init := init) g =
it.foldM (init := init) (fun d b => do
let some c := f b | pure d
g d c) := by
induction it using Iter.inductSteps generalizing init with | step it ihy ihs
rw [foldM_eq_match_step, foldM_eq_match_step, step_filterMap]
-- There seem to be some type dependencies that, combined with nested match expressions,
-- force us to split a lot.
split <;> rename_i h
· split at h
· split at h
· cases h
· cases h; simp [*, ihy _]
· cases h
· cases h
· split at h
· split at h
· cases h; simp [*, ihy _]
· cases h
· cases h; simp [*, ihs _]
· cases h
· split at h
· split at h
· cases h
· cases h
· cases h
· simp [*]
theorem Iter.foldM_map {α β γ : Type w} {δ : Type x} {m : Type x Type w'}
[Iterator α Id β] [Finite α Id] [Monad m] [LawfulMonad m]
[IteratorLoop α Id m] [LawfulIteratorLoop α Id m]
{f : β γ} {g : δ γ m δ} {init : δ} {it : Iter (α := α) β} :
(it.map f).foldM (init := init) g =
it.foldM (init := init) (fun d b => g d (f b)) := by
induction it using Iter.inductSteps generalizing init with | step it ihy ihs
rw [foldM_eq_match_step, foldM_eq_match_step, step_map]
cases it.step using PlausibleIterStep.casesOn
· simp [*, ihy _]
· simp [*, ihs _]
· simp
theorem Iter.fold_filterMapM {α β γ δ : Type w} {m : Type w Type w'}
[Iterator α Id β] [Finite α Id] [Monad m] [LawfulMonad m]
[IteratorLoop α Id Id.{w}] [IteratorLoop α Id m]
[LawfulIteratorLoop α Id Id] [LawfulIteratorLoop α Id m]
{f : β m (Option γ)} {g : δ γ δ} {init : δ} {it : Iter (α := α) β} :
(it.filterMapM f).fold (init := init) g =
it.foldM (init := init) (fun d b => do
let some c f b | pure d
return g d c) := by
rw [foldM_eq_foldM_toIterM, filterMapM_eq_toIter_filterMapM_toIterM, IterM.fold_filterMapM]
rfl
theorem Iter.fold_mapM {α β γ δ : Type w} {m : Type w Type w'}
[Iterator α Id β] [Finite α Id] [Monad m] [LawfulMonad m]
[IteratorLoop α Id Id.{w}] [IteratorLoop α Id m]
[LawfulIteratorLoop α Id Id] [LawfulIteratorLoop α Id m]
{f : β m γ} {g : δ γ δ} {init : δ} {it : Iter (α := α) β} :
(it.mapM f).fold (init := init) g =
it.foldM (init := init) (fun d b => do return g d ( f b)) := by
rw [foldM_eq_foldM_toIterM, mapM_eq_toIter_mapM_toIterM, IterM.fold_mapM]
theorem Iter.fold_filterMap {α β γ : Type w} {δ : Type x}
[Iterator α Id β] [Finite α Id] [IteratorLoop α Id Id] [LawfulIteratorLoop α Id Id]
{f : β Option γ} {g : δ γ δ} {init : δ} {it : Iter (α := α) β} :
(it.filterMap f).fold (init := init) g =
it.fold (init := init) (fun d b =>
match f b with
| some c => g d c
| _ => d) := by
simp only [fold_eq_foldM, foldM_filterMap]
rfl
theorem Iter.fold_map {α β γ : Type w} {δ : Type x}
[Iterator α Id β] [Finite α Id]
[IteratorLoop α Id Id] [LawfulIteratorLoop α Id Id]
{f : β γ} {g : δ γ δ} {init : δ} {it : Iter (α := α) β} :
(it.map f).fold (init := init) g =
it.fold (init := init) (fun d b => g d (f b)) := by
simp [fold_eq_foldM, foldM_map]
end Fold
end Std.Iterators

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@@ -9,5 +9,3 @@ prelude
public import Init.Data.Iterators.Lemmas.Combinators.Monadic.Attach
public import Init.Data.Iterators.Lemmas.Combinators.Monadic.FilterMap
public import Init.Data.Iterators.Lemmas.Combinators.Monadic.ULift
public section

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@@ -414,4 +414,129 @@ theorem IterM.toArray_filter {α : Type w} {m : Type w → Type w'} [Monad m] [L
end ToArray
section Fold
theorem IterM.foldM_filterMapM {α β γ δ : Type w}
{m : Type w Type w'} {n : Type w Type w''} {o : Type w Type w'''}
[Iterator α m β] [Finite α m]
[Monad m] [Monad n] [Monad o] [LawfulMonad m] [LawfulMonad n] [LawfulMonad o]
[IteratorLoop α m n] [IteratorLoop α m o]
[LawfulIteratorLoop α m n] [LawfulIteratorLoop α m o]
[MonadLiftT m n] [MonadLiftT n o] [LawfulMonadLiftT m n] [LawfulMonadLiftT n o]
{f : β n (Option γ)} {g : δ γ o δ} {init : δ} {it : IterM (α := α) m β} :
haveI : MonadLift n o := MonadLiftT.monadLift
(it.filterMapM f).foldM (init := init) g =
it.foldM (init := init) (fun d b => do
let some c f b | pure d
g d c) := by
letI : MonadLift n o := MonadLiftT.monadLift
induction it using IterM.inductSteps generalizing init with | step it ihy ihs
rw [foldM_eq_match_step, foldM_eq_match_step, step_filterMapM, liftM_bind, bind_assoc]
apply bind_congr; intro step
split
· simp only [PlausibleIterStep.skip, PlausibleIterStep.yield, liftM_bind, bind_assoc]
apply bind_congr; intro c?
split <;> simp [ihy _]
· simp [ihs _]
· simp
theorem IterM.foldM_mapM {α β γ δ : Type w}
{m : Type w Type w'} {n : Type w Type w''} {o : Type w Type w'''}
[Iterator α m β] [Finite α m]
[Monad m] [Monad n] [Monad o] [LawfulMonad m] [LawfulMonad n] [LawfulMonad o]
[IteratorLoop α m n] [IteratorLoop α m o]
[LawfulIteratorLoop α m n] [LawfulIteratorLoop α m o]
[MonadLiftT m n] [MonadLiftT n o] [LawfulMonadLiftT m n] [LawfulMonadLiftT n o]
{f : β n γ} {g : δ γ o δ} {init : δ} {it : IterM (α := α) m β} :
haveI : MonadLift n o := MonadLiftT.monadLift
(it.mapM f).foldM (init := init) g =
it.foldM (init := init) (fun d b => do let c f b; g d c) := by
letI : MonadLift n o := MonadLiftT.monadLift
induction it using IterM.inductSteps generalizing init with | step it ihy ihs
rw [foldM_eq_match_step, foldM_eq_match_step, step_mapM, liftM_bind, bind_assoc]
apply bind_congr; intro step
split
· simp [ihy _]
· simp [ihs _]
· simp
theorem IterM.foldM_filterMap {α β γ δ : Type w} {m : Type w Type w'} {n : Type w Type w''}
[Iterator α m β] [Finite α m] [Monad m] [Monad n] [LawfulMonad m] [LawfulMonad n]
[IteratorLoop α m m] [IteratorLoop α m n]
[LawfulIteratorLoop α m m] [LawfulIteratorLoop α m n]
[MonadLiftT m n] [LawfulMonadLiftT m n]
{f : β Option γ} {g : δ γ n δ} {init : δ} {it : IterM (α := α) m β} :
(it.filterMap f).foldM (init := init) g =
it.foldM (init := init) (fun d b => do
let some c := f b | pure d
g d c) := by
induction it using IterM.inductSteps generalizing init with | step it ihy ihs
rw [foldM_eq_match_step, foldM_eq_match_step, step_filterMap, liftM_bind, bind_assoc]
apply bind_congr; intro step
split
· split <;> simp [ihy _, *]
· simp [ihs _]
· simp
theorem IterM.foldM_map {α β γ δ : Type w} {m : Type w Type w'} {n : Type w Type w''}
[Iterator α m β] [Finite α m] [Monad m] [Monad n] [LawfulMonad m] [LawfulMonad n]
[IteratorLoop α m m] [IteratorLoop α m n]
[LawfulIteratorLoop α m m] [LawfulIteratorLoop α m n]
[MonadLiftT m n] [LawfulMonadLiftT m n]
{f : β γ} {g : δ γ n δ} {init : δ} {it : IterM (α := α) m β} :
(it.map f).foldM (init := init) g =
it.foldM (init := init) (fun d b => do g d (f b)) := by
induction it using IterM.inductSteps generalizing init with | step it ihy ihs
rw [foldM_eq_match_step, foldM_eq_match_step, step_map, liftM_bind, bind_assoc]
apply bind_congr; intro step
split
· simp [ihy _]
· simp [ihs _]
· simp
theorem IterM.fold_filterMapM {α β γ δ : Type w} {m : Type w Type w'} {n : Type w Type w''}
[Iterator α m β] [Finite α m] [Monad m] [Monad n] [LawfulMonad m] [LawfulMonad n]
[IteratorLoop α m m] [IteratorLoop α m n]
[LawfulIteratorLoop α m m] [LawfulIteratorLoop α m n]
[MonadLiftT m n] [LawfulMonadLiftT m n]
{f : β n (Option γ)} {g : δ γ δ} {init : δ} {it : IterM (α := α) m β} :
(it.filterMapM f).fold (init := init) g =
it.foldM (init := init) (fun d b => do
let some c f b | pure d
return g d c) := by
simp [fold_eq_foldM, foldM_filterMapM]
theorem IterM.fold_mapM {α β γ δ : Type w} {m : Type w Type w'} {n : Type w Type w''}
[Iterator α m β] [Finite α m] [Monad m] [Monad n] [LawfulMonad m] [LawfulMonad n]
[IteratorLoop α m m] [IteratorLoop α m n]
[LawfulIteratorLoop α m m] [LawfulIteratorLoop α m n]
[MonadLiftT m n] [LawfulMonadLiftT m n]
{f : β n γ} {g : δ γ δ} {init : δ} {it : IterM (α := α) m β} :
(it.mapM f).fold (init := init) g =
it.foldM (init := init) (fun d b => do let c f b; return g d c) := by
simp [fold_eq_foldM, foldM_mapM]
theorem IterM.fold_filterMap {α β γ δ : Type w} {m : Type w Type w'}
[Iterator α m β] [Finite α m] [Monad m] [LawfulMonad m]
[IteratorLoop α m m] [LawfulIteratorLoop α m m]
{f : β Option γ} {g : δ γ δ} {init : δ} {it : IterM (α := α) m β} :
(it.filterMap f).fold (init := init) g =
it.fold (init := init) (fun d b =>
match f b with
| some c => g d c
| _ => d) := by
simp [fold_eq_foldM, foldM_filterMap]
congr; ext
split <;> simp
theorem IterM.fold_map {α β γ δ : Type w} {m : Type w Type w'}
[Iterator α m β] [Finite α m] [Monad m] [LawfulMonad m]
[IteratorLoop α m m] [LawfulIteratorLoop α m m]
{f : β γ} {g : δ γ δ} {init : δ} {it : IterM (α := α) m β} :
(it.map f).fold (init := init) g =
it.fold (init := init) (fun d b => g d (f b)) := by
simp [fold_eq_foldM, foldM_map]
end Fold
end Std.Iterators

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@@ -9,5 +9,3 @@ prelude
public import Init.Data.Iterators.Lemmas.Consumers.Monadic
public import Init.Data.Iterators.Lemmas.Consumers.Collect
public import Init.Data.Iterators.Lemmas.Consumers.Loop
public section

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@@ -44,20 +44,32 @@ theorem Iter.forIn_eq {α β : Type w} [Iterator α Id β] [Finite α Id]
f out acc) := by
simp [ForIn.forIn, forIn'_eq, -forIn'_eq_forIn]
@[congr] theorem Iter.forIn'_congr {α β : Type w}
[Iterator α Id β] [Finite α Id] [IteratorLoop α Id Id]
@[congr] theorem Iter.forIn'_congr {α β : Type w} {m : Type w Type w'} [Monad m]
[Iterator α Id β] [Finite α Id] [IteratorLoop α Id m]
{ita itb : Iter (α := α) β} (w : ita = itb)
{b b' : γ} (hb : b = b')
{f : (a' : β) _ γ Id (ForInStep γ)}
{g : (a' : β) _ γ Id (ForInStep γ)}
{f : (a' : β) _ γ m (ForInStep γ)}
{g : (a' : β) _ γ m (ForInStep γ)}
(h : a m b, f a (by simpa [w] using m) b = g a m b) :
letI : ForIn' Id (Iter (α := α) β) β _ := Iter.instForIn'
letI : ForIn' m (Iter (α := α) β) β _ := Iter.instForIn'
forIn' ita b f = forIn' itb b' g := by
subst_eqs
simp only [ funext_iff] at h
rw [ h]
rfl
@[congr] theorem Iter.forIn_congr {α β : Type w} {m : Type w Type w'} [Monad m]
[Iterator α Id β] [Finite α Id] [IteratorLoop α Id m]
{ita itb : Iter (α := α) β} (w : ita = itb)
{b b' : γ} (hb : b = b')
{f : (a' : β) γ m (ForInStep γ)}
{g : (a' : β) γ m (ForInStep γ)}
(h : a b, f a b = g a b) :
forIn ita b f = forIn itb b' g := by
subst_eqs
simp only [ funext_iff] at h
rw [ h]
theorem Iter.forIn'_eq_forIn'_toIterM {α β : Type w} [Iterator α Id β]
[Finite α Id] {m : Type w Type w''} [Monad m] [LawfulMonad m]
[IteratorLoop α Id m] [LawfulIteratorLoop α Id m]

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@@ -8,5 +8,3 @@ module
prelude
public import Init.Data.Iterators.Lemmas.Consumers.Monadic.Collect
public import Init.Data.Iterators.Lemmas.Consumers.Monadic.Loop
public section

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@@ -60,20 +60,34 @@ theorem IterM.forIn_eq {α β : Type w} {m : Type w → Type w'} [Iterator α m
IteratorLoop.wellFounded_of_finite it init _ (fun _ => id) (fun out _ acc => (·, .intro) <$> f out acc) := by
simp only [ForIn.forIn, forIn'_eq]
@[congr] theorem IterM.forIn'_congr {α β : Type w} {m : Type w Type w'} [Monad m]
[Iterator α m β] [Finite α m] [IteratorLoop α m m]
@[congr] theorem IterM.forIn'_congr {α β : Type w} {m : Type w Type w'}
{n : Type w Type w''} [Monad n] [Monad m]
[Iterator α m β] [Finite α m] [IteratorLoop α m n] [MonadLiftT m n]
{ita itb : IterM (α := α) m β} (w : ita = itb)
{b b' : γ} (hb : b = b')
{f : (a' : β) _ γ m (ForInStep γ)}
{g : (a' : β) _ γ m (ForInStep γ)}
{f : (a' : β) _ γ n (ForInStep γ)}
{g : (a' : β) _ γ n (ForInStep γ)}
(h : a m b, f a (by simpa [w] using m) b = g a m b) :
letI : ForIn' m (IterM (α := α) m β) β _ := IterM.instForIn'
letI : ForIn' n (IterM (α := α) m β) β _ := IterM.instForIn'
forIn' ita b f = forIn' itb b' g := by
subst_eqs
simp only [ funext_iff] at h
rw [ h]
rfl
@[congr] theorem IterM.forIn_congr {α β : Type w} {m : Type w Type w'}
{n : Type w Type w''} [Monad n] [Monad m]
[Iterator α m β] [Finite α m] [IteratorLoop α m n] [MonadLiftT m n]
{ita itb : IterM (α := α) m β} (w : ita = itb)
{b b' : γ} (hb : b = b')
{f : (a' : β) γ n (ForInStep γ)}
{g : (a' : β) γ n (ForInStep γ)}
(h : a b, f a b = g a b) :
forIn ita b f = forIn itb b' g := by
subst_eqs
simp only [ funext_iff] at h
rw [ h]
theorem IterM.forIn'_eq_match_step {α β : Type w} {m : Type w Type w'} [Iterator α m β]
[Finite α m] {n : Type w Type w''} [Monad m] [Monad n] [LawfulMonad n]
[IteratorLoop α m n] [LawfulIteratorLoop α m n]

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@@ -0,0 +1,30 @@
/-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
module
prelude
public import Init.Core
public section
/--
The `BEq α` and `Hashable α` instances on `α` are compatible. This means that that `a == b` implies
`hash a = hash b`.
This is automatic if the `BEq` instance is lawful.
-/
class LawfulHashable (α : Type u) [BEq α] [Hashable α] where
/-- If `a == b`, then `hash a = hash b`. -/
hash_eq (a b : α) : a == b hash a = hash b
/--
A lawful hash function respects its Boolean equality test.
-/
theorem hash_eq [BEq α] [Hashable α] [LawfulHashable α] {a b : α} : a == b hash a = hash b :=
LawfulHashable.hash_eq a b
instance (priority := low) [BEq α] [Hashable α] [LawfulBEq α] : LawfulHashable α where
hash_eq _ _ h := eq_of_beq h rfl

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@@ -31,5 +31,3 @@ public import Init.Data.List.MapIdx
public import Init.Data.List.OfFn
public import Init.Data.List.FinRange
public import Init.Data.List.Lex
public section

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@@ -61,10 +61,10 @@ well-founded recursion mechanism to prove that the function terminates.
@[inline, expose] def attach (l : List α) : List {x // x l} := attachWith l _ fun _ => id
/-- Implementation of `pmap` using the zero-copy version of `attach`. -/
@[inline] private def pmapImpl {P : α Prop} (f : a, P a β) (l : List α) (H : a l, P a) :
@[inline] def pmapImpl {P : α Prop} (f : a, P a β) (l : List α) (H : a l, P a) :
List β := (l.attachWith _ H).map fun x, h' => f x h'
@[csimp] private theorem pmap_eq_pmapImpl : @pmap = @pmapImpl := by
@[csimp] theorem pmap_eq_pmapImpl : @pmap = @pmapImpl := by
funext α β p f l h'
let rec go : l' (hL' : x, x l' p x),
pmap f l' hL' = map (fun x, hx => f x hx) (pmap Subtype.mk l' hL')
@@ -95,14 +95,12 @@ theorem pmap_congr_left {p q : α → Prop} {f : ∀ a, p a → β} {g : ∀ a,
| cons x l ih =>
rw [pmap, pmap, h _ mem_cons_self, ih fun a ha => h a (mem_cons_of_mem _ ha)]
@[grind =]
theorem map_pmap {p : α Prop} {g : β γ} {f : a, p a β} {l : List α} (H) :
map g (pmap f l H) = pmap (fun a h => g (f a h)) l H := by
induction l
· rfl
· simp only [*, pmap, map]
@[grind =]
theorem pmap_map {p : β Prop} {g : b, p b γ} {f : α β} {l : List α} (H) :
pmap g (map f l) H = pmap (fun a h => g (f a) h) l fun _ h => H _ (mem_map_of_mem h) := by
induction l
@@ -149,9 +147,6 @@ theorem attach_map_val {l : List α} {f : α → β} :
(l.attach.map fun (i : {i // i l}) => f i) = l.map f := by
rw [attach, attachWith, map_pmap]; exact pmap_eq_map _
@[deprecated attach_map_val (since := "2025-02-17")]
abbrev attach_map_coe := @attach_map_val
-- The argument `l : List α` is explicit to allow rewriting from right to left.
theorem attach_map_subtype_val (l : List α) : l.attach.map Subtype.val = l :=
attach_map_val.trans (List.map_id _)
@@ -160,9 +155,6 @@ theorem attachWith_map_val {p : α → Prop} {f : α → β} {l : List α} (H :
((l.attachWith p H).map fun (i : { i // p i}) => f i) = l.map f := by
rw [attachWith, map_pmap]; exact pmap_eq_map _
@[deprecated attachWith_map_val (since := "2025-02-17")]
abbrev attachWith_map_coe := @attachWith_map_val
theorem attachWith_map_subtype_val {p : α Prop} {l : List α} (H : a l, p a) :
(l.attachWith p H).map Subtype.val = l :=
(attachWith_map_val _).trans (List.map_id _)
@@ -254,13 +246,6 @@ theorem getElem?_pmap {p : α → Prop} {f : ∀ a, p a → β} {l : List α} (h
· simp
· simp only [pmap, getElem?_cons_succ, hl]
set_option linter.deprecated false in
@[deprecated List.getElem?_pmap (since := "2025-02-12")]
theorem get?_pmap {p : α Prop} (f : a, p a β) {l : List α} (h : a l, p a) (n : Nat) :
get? (pmap f l h) n = Option.pmap f (get? l n) fun x H => h x (mem_of_get? H) := by
simp only [get?_eq_getElem?]
simp [getElem?_pmap]
-- The argument `f` is explicit to allow rewriting from right to left.
@[simp, grind =]
theorem getElem_pmap {p : α Prop} (f : a, p a β) {l : List α} (h : a l, p a) {i : Nat}
@@ -277,15 +262,6 @@ theorem getElem_pmap {p : α → Prop} (f : ∀ a, p a → β) {l : List α} (h
· simp
· simp [hl]
@[deprecated getElem_pmap (since := "2025-02-13")]
theorem get_pmap {p : α Prop} (f : a, p a β) {l : List α} (h : a l, p a) {n : Nat}
(hn : n < (pmap f l h).length) :
get (pmap f l h) n, hn =
f (get l n, @length_pmap _ _ p f l h hn)
(h _ (getElem_mem (@length_pmap _ _ p f l h hn))) := by
simp only [get_eq_getElem]
simp [getElem_pmap]
@[simp, grind =]
theorem getElem?_attachWith {xs : List α} {i : Nat} {P : α Prop} {H : a xs, P a} :
(xs.attachWith P H)[i]? = xs[i]?.pmap Subtype.mk (fun _ a => H _ (mem_of_getElem? a)) :=
@@ -307,13 +283,13 @@ theorem getElem_attach {xs : List α} {i : Nat} (h : i < xs.attach.length) :
xs.attach[i] = xs[i]'(by simpa using h), getElem_mem (by simpa using h) :=
getElem_attachWith h
@[simp, grind =] theorem pmap_attach {l : List α} {p : {x // x l} Prop} {f : a, p a β} (H) :
@[simp] theorem pmap_attach {l : List α} {p : {x // x l} Prop} {f : a, p a β} (H) :
pmap f l.attach H =
l.pmap (P := fun a => h : a l, p a, h)
(fun a h => f a, h.1 h.2) (fun a h => h, H a, h (by simp)) := by
apply ext_getElem <;> simp
@[simp, grind =] theorem pmap_attachWith {l : List α} {p : {x // q x} Prop} {f : a, p a β} (H₁ H₂) :
@[simp] theorem pmap_attachWith {l : List α} {p : {x // q x} Prop} {f : a, p a β} (H₁ H₂) :
pmap f (l.attachWith q H₁) H₂ =
l.pmap (P := fun a => h : q a, p a, h)
(fun a h => f a, h.1 h.2) (fun a h => H₁ _ h, H₂ a, H₁ _ h (by simpa)) := by
@@ -371,26 +347,24 @@ theorem getElem_attach {xs : List α} {i : Nat} (h : i < xs.attach.length) :
xs.attach.tail = xs.tail.attach.map (fun x, h => x, mem_of_mem_tail h) := by
cases xs <;> simp
@[grind =]
theorem foldl_pmap {l : List α} {P : α Prop} {f : (a : α) P a β}
(H : (a : α), a l P a) (g : γ β γ) (x : γ) :
(l.pmap f H).foldl g x = l.attach.foldl (fun acc a => g acc (f a.1 (H _ a.2))) x := by
rw [pmap_eq_map_attach, foldl_map]
@[grind =]
theorem foldr_pmap {l : List α} {P : α Prop} {f : (a : α) P a β}
(H : (a : α), a l P a) (g : β γ γ) (x : γ) :
(l.pmap f H).foldr g x = l.attach.foldr (fun a acc => g (f a.1 (H _ a.2)) acc) x := by
rw [pmap_eq_map_attach, foldr_map]
@[simp, grind =] theorem foldl_attachWith
@[simp] theorem foldl_attachWith
{l : List α} {q : α Prop} (H : a, a l q a) {f : β { x // q x } β} {b} :
(l.attachWith q H).foldl f b = l.attach.foldl (fun b a, h => f b a, H _ h) b := by
induction l generalizing b with
| nil => simp
| cons a l ih => simp [ih, foldl_map]
@[simp, grind =] theorem foldr_attachWith
@[simp] theorem foldr_attachWith
{l : List α} {q : α Prop} (H : a, a l q a) {f : { x // q x } β β} {b} :
(l.attachWith q H).foldr f b = l.attach.foldr (fun a acc => f a.1, H _ a.2 acc) b := by
induction l generalizing b with
@@ -429,18 +403,16 @@ theorem foldr_attach {l : List α} {f : α → β → β} {b : β} :
| nil => simp
| cons a l ih => rw [foldr_cons, attach_cons, foldr_cons, foldr_map, ih]
@[grind =]
theorem attach_map {l : List α} {f : α β} :
(l.map f).attach = l.attach.map (fun x, h => f x, mem_map_of_mem h) := by
induction l <;> simp [*]
@[grind =]
theorem attachWith_map {l : List α} {f : α β} {P : β Prop} (H : (b : β), b l.map f P b) :
(l.map f).attachWith P H = (l.attachWith (P f) (fun _ h => H _ (mem_map_of_mem h))).map
fun x, h => f x, h := by
induction l <;> simp [*]
@[simp, grind =] theorem map_attachWith {l : List α} {P : α Prop} {H : (a : α), a l P a}
@[simp] theorem map_attachWith {l : List α} {P : α Prop} {H : (a : α), a l P a}
{f : { x // P x } β} :
(l.attachWith P H).map f = l.attach.map fun x, h => f x, H _ h := by
induction l <;> simp_all
@@ -466,10 +438,6 @@ theorem map_attach_eq_pmap {l : List α} {f : { x // x ∈ l } → β} :
apply pmap_congr_left
simp
@[deprecated map_attach_eq_pmap (since := "2025-02-09")]
abbrev map_attach := @map_attach_eq_pmap
@[grind =]
theorem attach_filterMap {l : List α} {f : α Option β} :
(l.filterMap f).attach = l.attach.filterMap
fun x, h => (f x).pbind (fun b m => some b, mem_filterMap.mpr x, h, m) := by
@@ -500,7 +468,6 @@ theorem attach_filterMap {l : List α} {f : α → Option β} :
ext
simp
@[grind =]
theorem attach_filter {l : List α} (p : α Bool) :
(l.filter p).attach = l.attach.filterMap
fun x => if w : p x.1 then some x.1, mem_filter.mpr x.2, w else none := by
@@ -512,7 +479,7 @@ theorem attach_filter {l : List α} (p : α → Bool) :
-- We are still missing here `attachWith_filterMap` and `attachWith_filter`.
@[simp, grind =]
@[simp]
theorem filterMap_attachWith {q : α Prop} {l : List α} {f : {x // q x} Option β} (H) :
(l.attachWith q H).filterMap f = l.attach.filterMap (fun x, h => f x, H _ h) := by
induction l with
@@ -521,7 +488,7 @@ theorem filterMap_attachWith {q : α → Prop} {l : List α} {f : {x // q x} →
simp only [attachWith_cons, filterMap_cons]
split <;> simp_all [Function.comp_def]
@[simp, grind =]
@[simp]
theorem filter_attachWith {q : α Prop} {l : List α} {p : {x // q x} Bool} (H) :
(l.attachWith q H).filter p =
(l.attach.filter (fun x, h => p x, H _ h)).map (fun x, h => x, H _ h) := by
@@ -531,14 +498,13 @@ theorem filter_attachWith {q : α → Prop} {l : List α} {p : {x // q x} → Bo
simp only [attachWith_cons, filter_cons]
split <;> simp_all [Function.comp_def, filter_map]
@[grind =]
theorem pmap_pmap {p : α Prop} {q : β Prop} {g : a, p a β} {f : b, q b γ} {l} (H₁ H₂) :
pmap f (pmap g l H₁) H₂ =
pmap (α := { x // x l }) (fun a h => f (g a h) (H₂ (g a h) (mem_pmap_of_mem a.2))) l.attach
(fun a _ => H₁ a a.2) := by
simp [pmap_eq_map_attach, attach_map]
@[simp, grind =] theorem pmap_append {p : ι Prop} {f : a : ι, p a α} {l₁ l₂ : List ι}
@[simp] theorem pmap_append {p : ι Prop} {f : a : ι, p a α} {l₁ l₂ : List ι}
(h : a l₁ ++ l₂, p a) :
(l₁ ++ l₂).pmap f h =
(l₁.pmap f fun a ha => h a (mem_append_left l₂ ha)) ++
@@ -555,50 +521,47 @@ theorem pmap_append' {p : α → Prop} {f : ∀ a : α, p a → β} {l₁ l₂ :
l₁.pmap f h₁ ++ l₂.pmap f h₂ :=
pmap_append _
@[simp, grind =] theorem attach_append {xs ys : List α} :
@[simp] theorem attach_append {xs ys : List α} :
(xs ++ ys).attach = xs.attach.map (fun x, h => x, mem_append_left ys h) ++
ys.attach.map fun x, h => x, mem_append_right xs h := by
simp only [attach, attachWith, map_pmap, pmap_append]
congr 1 <;>
exact pmap_congr_left _ fun _ _ _ _ => rfl
@[simp, grind =] theorem attachWith_append {P : α Prop} {xs ys : List α}
@[simp] theorem attachWith_append {P : α Prop} {xs ys : List α}
{H : (a : α), a xs ++ ys P a} :
(xs ++ ys).attachWith P H = xs.attachWith P (fun a h => H a (mem_append_left ys h)) ++
ys.attachWith P (fun a h => H a (mem_append_right xs h)) := by
simp only [attachWith, pmap_append]
@[simp, grind =] theorem pmap_reverse {P : α Prop} {f : (a : α) P a β} {xs : List α}
@[simp] theorem pmap_reverse {P : α Prop} {f : (a : α) P a β} {xs : List α}
(H : (a : α), a xs.reverse P a) :
xs.reverse.pmap f H = (xs.pmap f (fun a h => H a (by simpa using h))).reverse := by
induction xs <;> simp_all
@[grind =]
theorem reverse_pmap {P : α Prop} {f : (a : α) P a β} {xs : List α}
(H : (a : α), a xs P a) :
(xs.pmap f H).reverse = xs.reverse.pmap f (fun a h => H a (by simpa using h)) := by
rw [pmap_reverse]
@[simp, grind =] theorem attachWith_reverse {P : α Prop} {xs : List α}
@[simp] theorem attachWith_reverse {P : α Prop} {xs : List α}
{H : (a : α), a xs.reverse P a} :
xs.reverse.attachWith P H =
(xs.attachWith P (fun a h => H a (by simpa using h))).reverse :=
pmap_reverse ..
@[grind =]
theorem reverse_attachWith {P : α Prop} {xs : List α}
{H : (a : α), a xs P a} :
(xs.attachWith P H).reverse = (xs.reverse.attachWith P (fun a h => H a (by simpa using h))) :=
reverse_pmap ..
@[simp, grind =] theorem attach_reverse {xs : List α} :
@[simp] theorem attach_reverse {xs : List α} :
xs.reverse.attach = xs.attach.reverse.map fun x, h => x, by simpa using h := by
simp only [attach, attachWith, reverse_pmap, map_pmap]
apply pmap_congr_left
intros
rfl
@[grind =]
theorem reverse_attach {xs : List α} :
xs.attach.reverse = xs.reverse.attach.map fun x, h => x, by simpa using h := by
simp only [attach, attachWith, reverse_pmap, map_pmap]
@@ -652,7 +615,7 @@ theorem countP_attachWith {p : α → Prop} {q : α → Bool} {l : List α} (H :
(l.attachWith p H).countP (fun a : {x // p x} => q a) = l.countP q := by
simp only [ Function.comp_apply (g := Subtype.val), countP_map, attachWith_map_subtype_val]
@[simp]
@[simp, grind =]
theorem count_attach [BEq α] {l : List α} {a : {x // x l}} :
l.attach.count a = l.count a :=
Eq.trans (countP_congr fun _ _ => by simp) <| countP_attach

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@@ -289,16 +289,6 @@ theorem cons_lex_nil [BEq α] {a} {as : List α} : lex (a :: as) [] lt = false :
@[simp] theorem lex_nil [BEq α] {as : List α} : lex as [] lt = false := by
cases as <;> simp [nil_lex_nil, cons_lex_nil]
@[deprecated nil_lex_nil (since := "2025-02-10")]
theorem lex_nil_nil [BEq α] : lex ([] : List α) [] lt = false := rfl
@[deprecated nil_lex_cons (since := "2025-02-10")]
theorem lex_nil_cons [BEq α] {b} {bs : List α} : lex [] (b :: bs) lt = true := rfl
@[deprecated cons_lex_nil (since := "2025-02-10")]
theorem lex_cons_nil [BEq α] {a} {as : List α} : lex (a :: as) [] lt = false := rfl
@[deprecated cons_lex_cons (since := "2025-02-10")]
theorem lex_cons_cons [BEq α] {a b} {as bs : List α} :
lex (a :: as) (b :: bs) lt = (lt a b || (a == b && lex as bs lt)) := rfl
/-! ## Alternative getters -/
/-! ### getLast -/

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@@ -21,65 +21,6 @@ namespace List
/-! ## Alternative getters -/
/-! ### get? -/
/--
Returns the `i`-th element in the list (zero-based).
If the index is out of bounds (`i ≥ as.length`), this function returns `none`.
Also see `get`, `getD` and `get!`.
-/
@[deprecated "Use `a[i]?` instead." (since := "2025-02-12"), expose]
def get? : (as : List α) (i : Nat) Option α
| a::_, 0 => some a
| _::as, n+1 => get? as n
| _, _ => none
set_option linter.deprecated false in
@[deprecated "Use `a[i]?` instead." (since := "2025-02-12"), simp]
theorem get?_nil : @get? α [] n = none := rfl
set_option linter.deprecated false in
@[deprecated "Use `a[i]?` instead." (since := "2025-02-12"), simp]
theorem get?_cons_zero : @get? α (a::l) 0 = some a := rfl
set_option linter.deprecated false in
@[deprecated "Use `a[i]?` instead." (since := "2025-02-12"), simp]
theorem get?_cons_succ : @get? α (a::l) (n+1) = get? l n := rfl
set_option linter.deprecated false in
@[deprecated "Use `List.ext_getElem?`." (since := "2025-02-12")]
theorem ext_get? : {l₁ l₂ : List α}, ( n, l₁.get? n = l₂.get? n) l₁ = l₂
| [], [], _ => rfl
| _ :: _, [], h => nomatch h 0
| [], _ :: _, h => nomatch h 0
| a :: l₁, a' :: l₂, h => by
have h0 : some a = some a' := h 0
injection h0 with aa; simp only [aa, ext_get? fun n => h (n+1)]
/-! ### get! -/
/--
Returns the `i`-th element in the list (zero-based).
If the index is out of bounds (`i ≥ as.length`), this function panics when executed, and returns
`default`. See `get?` and `getD` for safer alternatives.
-/
@[deprecated "Use `a[i]!` instead." (since := "2025-02-12"), expose]
def get! [Inhabited α] : (as : List α) (i : Nat) α
| a::_, 0 => a
| _::as, n+1 => get! as n
| _, _ => panic! "invalid index"
set_option linter.deprecated false in
@[deprecated "Use `a[i]!` instead." (since := "2025-02-12")]
theorem get!_nil [Inhabited α] (n : Nat) : [].get! n = (default : α) := rfl
set_option linter.deprecated false in
@[deprecated "Use `a[i]!` instead." (since := "2025-02-12")]
theorem get!_cons_succ [Inhabited α] (l : List α) (a : α) (n : Nat) :
(a::l).get! (n+1) = get! l n := rfl
set_option linter.deprecated false in
@[deprecated "Use `a[i]!` instead." (since := "2025-02-12")]
theorem get!_cons_zero [Inhabited α] (l : List α) (a : α) : (a::l).get! 0 = a := rfl
/-! ### getD -/
/--
@@ -281,17 +222,6 @@ theorem getElem_append_right {as bs : List α} {i : Nat} (h₁ : as.length ≤ i
cases i with simp [Nat.succ_sub_succ] <;> simp at h₁
| succ i => apply ih; simp [h₁]
@[deprecated "Deprecated without replacement." (since := "2025-02-13")]
theorem get_last {as : List α} {i : Fin (length (as ++ [a]))} (h : ¬ i.1 < as.length) : (as ++ [a] : List _).get i = a := by
cases i; rename_i i h'
induction as generalizing i with
| nil => cases i with
| zero => simp [List.get]
| succ => simp +arith at h'
| cons a as ih =>
cases i with simp at h
| succ i => apply ih; simp [h]
theorem sizeOf_lt_of_mem [SizeOf α] {as : List α} (h : a as) : sizeOf a < sizeOf as := by
induction h with
| head => simp +arith

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@@ -13,7 +13,7 @@ public section
/-!
# Lemmas about `List.countP` and `List.count`.
Because we mark `countP_eq_length_filter` and `count_eq_countP` with `@[grind _=_]`,
Because we mark `countP_eq_length_filter` with `@[grind =]`,
we don't need many other `@[grind]` annotations here.
-/
@@ -66,7 +66,7 @@ theorem length_eq_countP_add_countP (p : α → Bool) {l : List α} : length l =
· rfl
· simp [h]
@[grind _=_] -- This to quite aggressive, as it introduces `filter` based reasoning whenever we see `countP`.
@[grind =] -- This to quite aggressive, as it introduces `filter` based reasoning whenever we see `countP`.
theorem countP_eq_length_filter {l : List α} : countP p l = (filter p l).length := by
induction l with
| nil => rfl

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@@ -360,9 +360,6 @@ theorem find?_flatten_eq_none_iff {xs : List (List α)} {p : α → Bool} :
xs.flatten.find? p = none ys xs, x ys, !p x := by
simp
@[deprecated find?_flatten_eq_none_iff (since := "2025-02-03")]
abbrev find?_flatten_eq_none := @find?_flatten_eq_none_iff
/--
If `find? p` returns `some a` from `xs.flatten`, then `p a` holds, and
some list in `xs` contains `a`, and no earlier element of that list satisfies `p`.
@@ -403,9 +400,6 @@ theorem find?_flatten_eq_some_iff {xs : List (List α)} {p : α → Bool} {a :
· exact h₁ l ml a m
· exact h₂ a m
@[deprecated find?_flatten_eq_some_iff (since := "2025-02-03")]
abbrev find?_flatten_eq_some := @find?_flatten_eq_some_iff
@[simp, grind =] theorem find?_flatMap {xs : List α} {f : α List β} {p : β Bool} :
(xs.flatMap f).find? p = xs.findSome? (fun x => (f x).find? p) := by
simp [flatMap_def, findSome?_map]; rfl
@@ -434,16 +428,10 @@ theorem find?_replicate_eq_none_iff {n : Nat} {a : α} {p : α → Bool} :
(replicate n a).find? p = none n = 0 !p a := by
simp [Classical.or_iff_not_imp_left]
@[deprecated find?_replicate_eq_none_iff (since := "2025-02-03")]
abbrev find?_replicate_eq_none := @find?_replicate_eq_none_iff
@[simp] theorem find?_replicate_eq_some_iff {n : Nat} {a b : α} {p : α Bool} :
(replicate n a).find? p = some b n 0 p a a = b := by
cases n <;> simp
@[deprecated find?_replicate_eq_some_iff (since := "2025-02-03")]
abbrev find?_replicate_eq_some := @find?_replicate_eq_some_iff
@[simp] theorem get_find?_replicate {n : Nat} {a : α} {p : α Bool} (h) : ((replicate n a).find? p).get h = a := by
cases n with
| zero => simp at h
@@ -836,9 +824,6 @@ theorem of_findIdx?_eq_some {xs : List α} {p : α → Bool} (w : xs.findIdx? p
simp_all only [findIdx?_cons]
split at w <;> cases i <;> simp_all
@[deprecated of_findIdx?_eq_some (since := "2025-02-02")]
abbrev findIdx?_of_eq_some := @of_findIdx?_eq_some
theorem of_findIdx?_eq_none {xs : List α} {p : α Bool} (w : xs.findIdx? p = none) :
i : Nat, match xs[i]? with | some a => ¬ p a | none => true := by
intro i
@@ -854,9 +839,6 @@ theorem of_findIdx?_eq_none {xs : List α} {p : α → Bool} (w : xs.findIdx? p
apply ih
split at w <;> simp_all
@[deprecated of_findIdx?_eq_none (since := "2025-02-02")]
abbrev findIdx?_of_eq_none := @of_findIdx?_eq_none
@[simp, grind _=_] theorem findIdx?_map {f : β α} {l : List β} : findIdx? p (l.map f) = l.findIdx? (p f) := by
induction l with
| nil => simp

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@@ -107,9 +107,6 @@ theorem ne_nil_of_length_pos (_ : 0 < length l) : l ≠ [] := fun _ => nomatch l
@[simp] theorem length_eq_zero_iff : length l = 0 l = [] :=
eq_nil_of_length_eq_zero, fun h => h rfl
@[deprecated length_eq_zero_iff (since := "2025-02-24")]
abbrev length_eq_zero := @length_eq_zero_iff
theorem eq_nil_iff_length_eq_zero : l = [] length l = 0 :=
length_eq_zero_iff.symm
@@ -142,18 +139,12 @@ theorem exists_cons_of_length_eq_add_one :
theorem length_pos_iff {l : List α} : 0 < length l l [] :=
Nat.pos_iff_ne_zero.trans (not_congr length_eq_zero_iff)
@[deprecated length_pos_iff (since := "2025-02-24")]
abbrev length_pos := @length_pos_iff
theorem ne_nil_iff_length_pos {l : List α} : l [] 0 < length l :=
length_pos_iff.symm
theorem length_eq_one_iff {l : List α} : length l = 1 a, l = [a] :=
fun h => match l, h with | [_], _ => _, rfl, fun _, h => by simp [h]
@[deprecated length_eq_one_iff (since := "2025-02-24")]
abbrev length_eq_one := @length_eq_one_iff
/-! ### cons -/
-- The arguments here are intentionally explicit.
@@ -198,38 +189,6 @@ We simplify `l.get i` to `l[i.1]'i.2` and `l.get? i` to `l[i]?`.
@[simp, grind =]
theorem get_eq_getElem {l : List α} {i : Fin l.length} : l.get i = l[i.1]'i.2 := rfl
set_option linter.deprecated false in
@[deprecated "Use `a[i]?` instead." (since := "2025-02-12")]
theorem get?_eq_none : {l : List α} {n}, length l n l.get? n = none
| [], _, _ => rfl
| _ :: l, _+1, h => get?_eq_none (l := l) <| Nat.le_of_succ_le_succ h
set_option linter.deprecated false in
@[deprecated "Use `a[i]?` instead." (since := "2025-02-12")]
theorem get?_eq_get : {l : List α} {n} (h : n < l.length), l.get? n = some (get l n, h)
| _ :: _, 0, _ => rfl
| _ :: l, _+1, _ => get?_eq_get (l := l) _
set_option linter.deprecated false in
@[deprecated "Use `a[i]?` instead." (since := "2025-02-12")]
theorem get?_eq_some_iff : l.get? n = some a h, get l n, h = a :=
fun e =>
have : n < length l := Nat.gt_of_not_le fun hn => by cases get?_eq_none hn e
this, by rwa [get?_eq_get this, Option.some.injEq] at e,
fun _, e => e get?_eq_get _
set_option linter.deprecated false in
@[deprecated "Use `a[i]?` instead." (since := "2025-02-12")]
theorem get?_eq_none_iff : l.get? n = none length l n :=
fun e => Nat.ge_of_not_lt (fun h' => by cases e get?_eq_some_iff.2 h', rfl), get?_eq_none
set_option linter.deprecated false in
@[deprecated "Use `a[i]?` instead." (since := "2025-02-12"), simp]
theorem get?_eq_getElem? {l : List α} {i : Nat} : l.get? i = l[i]? := by
simp only [getElem?_def]; split
· exact (get?_eq_get _)
· exact (get?_eq_none_iff.2 <| Nat.not_lt.1 _)
/-! ### getElem!
We simplify `l[i]!` to `(l[i]?).getD default`.
@@ -373,26 +332,9 @@ theorem getD_eq_getElem?_getD {l : List α} {i : Nat} {a : α} : getD l i a = (l
theorem getD_cons_zero : getD (x :: xs) 0 d = x := by simp
theorem getD_cons_succ : getD (x :: xs) (n + 1) d = getD xs n d := by simp
/-! ### get!
We simplify `l.get! i` to `l[i]!`.
-/
set_option linter.deprecated false in
@[deprecated "Use `a[i]!` instead." (since := "2025-02-12")]
theorem get!_eq_getD [Inhabited α] : (l : List α) i, l.get! i = l.getD i default
| [], _ => rfl
| _a::_, 0 => by simp [get!]
| _a::l, n+1 => by simpa using get!_eq_getD l n
set_option linter.deprecated false in
@[deprecated "Use `a[i]!` instead." (since := "2025-02-12"), simp]
theorem get!_eq_getElem! [Inhabited α] (l : List α) (i) : l.get! i = l[i]! := by
simp [get!_eq_getD]
/-! ### mem -/
@[simp] theorem not_mem_nil {a : α} : ¬ a [] := nofun
@[simp, grind ] theorem not_mem_nil {a : α} : ¬ a [] := nofun
@[simp, grind =] theorem mem_cons : a b :: l a = b a l :=
fun h => by cases h <;> simp [Membership.mem, *],
@@ -581,15 +523,9 @@ theorem elem_eq_mem [BEq α] [LawfulBEq α] (a : α) (as : List α) :
@[grind ]
theorem nil_of_isEmpty {l : List α} (h : l.isEmpty) : l = [] := List.isEmpty_iff.mp h
@[deprecated isEmpty_iff (since := "2025-02-17")]
abbrev isEmpty_eq_true := @isEmpty_iff
@[simp] theorem isEmpty_eq_false_iff {l : List α} : l.isEmpty = false l [] := by
cases l <;> simp
@[deprecated isEmpty_eq_false_iff (since := "2025-02-17")]
abbrev isEmpty_eq_false := @isEmpty_eq_false_iff
theorem isEmpty_eq_false_iff_exists_mem {xs : List α} :
xs.isEmpty = false x, x xs := by
cases xs <;> simp
@@ -2881,9 +2817,6 @@ theorem getLast_eq_head_reverse {l : List α} (h : l ≠ []) :
l.getLast h = l.reverse.head (by simp_all) := by
rw [ head_reverse]
@[deprecated getLast_eq_iff_getLast?_eq_some (since := "2025-02-17")]
abbrev getLast_eq_iff_getLast_eq_some := @getLast_eq_iff_getLast?_eq_some
@[simp] theorem getLast?_eq_none_iff {xs : List α} : xs.getLast? = none xs = [] := by
rw [getLast?_eq_head?_reverse, head?_eq_none_iff, reverse_eq_nil_iff]
@@ -3687,10 +3620,6 @@ theorem get_cons_succ' {as : List α} {i : Fin as.length} :
theorem get_mk_zero : {l : List α} (h : 0 < l.length), l.get 0, h = l.head (length_pos_iff.mp h)
| _::_, _ => rfl
set_option linter.deprecated false in
@[deprecated "Use `a[0]?` instead." (since := "2025-02-12")]
theorem get?_zero (l : List α) : l.get? 0 = l.head? := by cases l <;> rfl
/--
If one has `l.get i` in an expression (with `i : Fin l.length`) and `h : l = l'`,
`rw [h]` will give a "motive is not type correct" error, as it cannot rewrite the
@@ -3700,18 +3629,6 @@ such a rewrite, with `rw [get_of_eq h]`.
theorem get_of_eq {l l' : List α} (h : l = l') (i : Fin l.length) :
get l i = get l' i, h i.2 := by cases h; rfl
set_option linter.deprecated false in
@[deprecated "Use `a[i]?` instead." (since := "2025-02-12")]
theorem get!_of_get? [Inhabited α] : {l : List α} {n}, get? l n = some a get! l n = a
| _a::_, 0, rfl => rfl
| _::l, _+1, e => get!_of_get? (l := l) e
set_option linter.deprecated false in
@[deprecated "Use `a[i]!` instead." (since := "2025-02-12")]
theorem get!_len_le [Inhabited α] : {l : List α} {n}, length l n l.get! n = (default : α)
| [], _, _ => rfl
| _ :: l, _+1, h => get!_len_le (l := l) <| Nat.le_of_succ_le_succ h
theorem getElem!_nil [Inhabited α] {n : Nat} : ([] : List α)[n]! = default := rfl
theorem getElem!_cons_zero [Inhabited α] {l : List α} : (a::l)[0]! = a := by
@@ -3737,30 +3654,11 @@ theorem get_of_mem {a} {l : List α} (h : a ∈ l) : ∃ n, get l n = a := by
obtain n, h, e := getElem_of_mem h
exact n, h, e
set_option linter.deprecated false in
@[deprecated getElem?_of_mem (since := "2025-02-12")]
theorem get?_of_mem {a} {l : List α} (h : a l) : n, l.get? n = some a :=
let n, _, e := get_of_mem h; n, e get?_eq_get _
theorem get_mem : (l : List α) n, get l n l
| _ :: _, 0, _ => .head ..
| _ :: l, _+1, _ => .tail _ (get_mem l ..)
set_option linter.deprecated false in
@[deprecated mem_of_getElem? (since := "2025-02-12")]
theorem mem_of_get? {l : List α} {n a} (e : l.get? n = some a) : a l :=
let _, e := get?_eq_some_iff.1 e; e get_mem ..
theorem mem_iff_get {a} {l : List α} : a l n, get l n = a :=
get_of_mem, fun _, e => e get_mem ..
set_option linter.deprecated false in
@[deprecated mem_iff_getElem? (since := "2025-02-12")]
theorem mem_iff_get? {a} {l : List α} : a l n, l.get? n = some a := by
simp [getElem?_eq_some_iff, Fin.exists_iff, mem_iff_get]
/-! ### Deprecations -/
end List

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@@ -18,5 +18,3 @@ public import Init.Data.List.Nat.BEq
public import Init.Data.List.Nat.Modify
public import Init.Data.List.Nat.InsertIdx
public import Init.Data.List.Nat.Perm
public section

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@@ -8,6 +8,7 @@ module
prelude
public import Init.Data.Nat.Lemmas
public import Init.Data.List.Basic
import Init.Data.List.Lemmas
public section

View File

@@ -105,9 +105,6 @@ theorem length_leftpad {n : Nat} {a : α} {l : List α} :
(leftpad n a l).length = max n l.length := by
simp only [leftpad, length_append, length_replicate, Nat.sub_add_eq_max]
@[deprecated length_leftpad (since := "2025-02-24")]
abbrev leftpad_length := @length_leftpad
theorem length_rightpad {n : Nat} {a : α} {l : List α} :
(rightpad n a l).length = max n l.length := by
simp [rightpad]

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@@ -14,10 +14,19 @@ public section
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
set_option linter.indexVariables true -- Enforce naming conventions for index variables.
protected theorem Nat.sum_pos_iff_exists_pos {l : List Nat} : 0 < l.sum x l, 0 < x := by
induction l with
| nil => simp
| cons x xs ih =>
simp [ ih]
omega
namespace List
open Nat
/-! ### Results about `List.sum` specialized to `Nat` -/
theorem find?_eq_some_iff_getElem {xs : List α} {p : α Bool} {b : α} :
xs.find? p = some b p b i h, xs[i] = b j : Nat, (hj : j < i) !p xs[j] := by
rw [find?_eq_some_iff_append]

View File

@@ -196,9 +196,6 @@ theorem getElem_insertIdx_of_gt {l : List α} {x : α} {i j : Nat} (hn : i < j)
| zero => omega
| succ j => simp
@[deprecated getElem_insertIdx_of_gt (since := "2025-02-04")]
abbrev getElem_insertIdx_of_ge := @getElem_insertIdx_of_gt
@[grind =]
theorem getElem_insertIdx {l : List α} {x : α} {i j : Nat} (h : j < (l.insertIdx i x).length) :
(l.insertIdx i x)[j] =
@@ -261,9 +258,6 @@ theorem getElem?_insertIdx_of_gt {l : List α} {x : α} {i j : Nat} (h : i < j)
(l.insertIdx i x)[j]? = l[j - 1]? := by
rw [getElem?_insertIdx, if_neg (by omega), if_neg (by omega)]
@[deprecated getElem?_insertIdx_of_gt (since := "2025-02-04")]
abbrev getElem?_insertIdx_of_ge := @getElem?_insertIdx_of_gt
end InsertIdx
end List

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