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35
.github/workflows/build-template.yml
vendored
35
.github/workflows/build-template.yml
vendored
@@ -104,7 +104,7 @@ jobs:
|
||||
# NOTE: must be in sync with `save` below and with `restore-cache` in `update-stage0.yml`
|
||||
path: |
|
||||
.ccache
|
||||
${{ matrix.name == 'Linux Lake (cached)' && 'build/stage1/**/*.trace
|
||||
${{ matrix.name == 'Linux Lake' && false && 'build/stage1/**/*.trace
|
||||
build/stage1/**/*.olean*
|
||||
build/stage1/**/*.ilean
|
||||
build/stage1/**/*.ir
|
||||
@@ -119,15 +119,9 @@ jobs:
|
||||
run: |
|
||||
ccache --zero-stats
|
||||
if: runner.os == 'Linux'
|
||||
- name: Set up env
|
||||
- name: Set up NPROC
|
||||
run: |
|
||||
echo "NPROC=$(nproc 2>/dev/null || sysctl -n hw.logicalcpu 2>/dev/null || echo 4)" >> $GITHUB_ENV
|
||||
if ! diff src/stdlib_flags.h stage0/src/stdlib_flags.h; then
|
||||
echo "src/stdlib_flags.h and stage0/src/stdlib_flags.h differ, will test and pack stage 2"
|
||||
echo "TARGET_STAGE=stage2" >> $GITHUB_ENV
|
||||
else
|
||||
echo "TARGET_STAGE=stage1" >> $GITHUB_ENV
|
||||
fi
|
||||
- name: Build
|
||||
run: |
|
||||
ulimit -c unlimited # coredumps
|
||||
@@ -148,9 +142,6 @@ jobs:
|
||||
if [[ -n '${{ matrix.prepare-llvm }}' ]]; then
|
||||
wget -q ${{ matrix.llvm-url }}
|
||||
PREPARE="$(${{ matrix.prepare-llvm }})"
|
||||
if [ "$TARGET_STAGE" == "stage2" ]; then
|
||||
cp -r stage1 stage2
|
||||
fi
|
||||
eval "OPTIONS+=($PREPARE)"
|
||||
fi
|
||||
if [[ -n '${{ matrix.release }}' && -n '${{ inputs.nightly }}' ]]; then
|
||||
@@ -165,10 +156,10 @@ jobs:
|
||||
fi
|
||||
# contortion to support empty OPTIONS with old macOS bash
|
||||
cmake .. --preset ${{ matrix.CMAKE_PRESET || 'release' }} -B . ${{ matrix.CMAKE_OPTIONS }} ${OPTIONS[@]+"${OPTIONS[@]}"} -DLEAN_INSTALL_PREFIX=$PWD/..
|
||||
time make $TARGET_STAGE -j$NPROC
|
||||
time make -j$NPROC
|
||||
- name: Install
|
||||
run: |
|
||||
make -C build/$TARGET_STAGE install
|
||||
make -C build install
|
||||
- name: Check Binaries
|
||||
run: ${{ matrix.binary-check }} lean-*/bin/* || true
|
||||
- name: Count binary symbols
|
||||
@@ -199,18 +190,18 @@ jobs:
|
||||
path: pack/*
|
||||
- name: Lean stats
|
||||
run: |
|
||||
build/stage1/bin/lean --stats src/Lean.lean -Dexperimental.module=true
|
||||
build/stage1/bin/lean --stats src/Lean.lean
|
||||
if: ${{ !matrix.cross }}
|
||||
- name: Test
|
||||
id: test
|
||||
run: |
|
||||
ulimit -c unlimited # coredumps
|
||||
time ctest --preset ${{ matrix.CMAKE_PRESET || 'release' }} --test-dir build/$TARGET_STAGE -j$NPROC --output-junit test-results.xml ${{ matrix.CTARGET_OPTIONS }}
|
||||
time ctest --preset ${{ matrix.CMAKE_PRESET || 'release' }} --test-dir build/stage1 -j$NPROC --output-junit test-results.xml ${{ matrix.CTEST_OPTIONS }}
|
||||
if: (matrix.wasm || !matrix.cross) && (inputs.check-level >= 1 || matrix.test)
|
||||
- name: Test Summary
|
||||
uses: test-summary/action@v2
|
||||
with:
|
||||
paths: build/${{ env.TARGET_STAGE }}/test-results.xml
|
||||
paths: build/stage1/test-results.xml
|
||||
# prefix `if` above with `always` so it's run even if tests failed
|
||||
if: always() && steps.test.conclusion != 'skipped'
|
||||
- name: Check Test Binary
|
||||
@@ -235,9 +226,8 @@ jobs:
|
||||
if: matrix.test-speedcenter
|
||||
- name: Check rebootstrap
|
||||
run: |
|
||||
# clean rebuild in case of Makefile changes/Lake does not detect uncommited stage 0
|
||||
# changes yet
|
||||
make -C build update-stage0 && make -C build/stage1 clean-stdlib && make -C build -j$NPROC
|
||||
# clean rebuild in case of Makefile changes
|
||||
make -C build update-stage0 && rm -rf build/stage* && make -C build -j$NPROC
|
||||
if: matrix.check-rebootstrap
|
||||
- name: CCache stats
|
||||
if: always()
|
||||
@@ -256,15 +246,10 @@ jobs:
|
||||
# NOTE: must be in sync with `restore` above
|
||||
path: |
|
||||
.ccache
|
||||
${{ matrix.name == 'Linux Lake (cached)' && 'build/stage1/**/*.trace
|
||||
${{ matrix.name == 'Linux Lake' && false && 'build/stage1/**/*.trace
|
||||
build/stage1/**/*.olean*
|
||||
build/stage1/**/*.ilean
|
||||
build/stage1/**/*.ir
|
||||
build/stage1/**/*.c
|
||||
build/stage1/**/*.c.o*' || '' }}
|
||||
key: ${{ steps.restore-cache.outputs.cache-primary-key }}
|
||||
- name: Upload Build Artifact
|
||||
if: always() && matrix.name == 'Linux Lake (cached)'
|
||||
uses: actions/upload-artifact@v4
|
||||
with:
|
||||
path: build
|
||||
|
||||
17
.github/workflows/ci.yml
vendored
17
.github/workflows/ci.yml
vendored
@@ -165,7 +165,7 @@ jobs:
|
||||
{
|
||||
// portable release build: use channel with older glibc (2.26)
|
||||
"name": "Linux release",
|
||||
"os": "ubuntu-latest",
|
||||
"os": large && level < 2 ? "nscloud-ubuntu-22.04-amd64-4x16" : "ubuntu-latest",
|
||||
"release": true,
|
||||
// Special handling for release jobs. We want:
|
||||
// 1. To run it in PRs so developers get PR toolchains (so secondary is sufficient)
|
||||
@@ -194,13 +194,6 @@ jobs:
|
||||
"test-speedcenter": large && level >= 2,
|
||||
"CMAKE_OPTIONS": "-DUSE_LAKE=ON",
|
||||
},
|
||||
{
|
||||
"name": "Linux Lake (cached)",
|
||||
"os": "ubuntu-latest",
|
||||
"check-level": (isPr || isPushToMaster) ? 0 : 2,
|
||||
"secondary": true,
|
||||
"CMAKE_OPTIONS": "-DUSE_LAKE=ON",
|
||||
},
|
||||
{
|
||||
"name": "Linux Reldebug",
|
||||
"os": "ubuntu-latest",
|
||||
@@ -232,8 +225,8 @@ 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",
|
||||
// standard GH runner only comes with 7GB so use large runner if possible
|
||||
"os": large ? "nscloud-macos-sonoma-arm64-6x14" : "macos-14",
|
||||
"CMAKE_OPTIONS": "-DLEAN_INSTALL_SUFFIX=-darwin_aarch64",
|
||||
"release": true,
|
||||
"shell": "bash -euxo pipefail {0}",
|
||||
@@ -241,13 +234,13 @@ jobs:
|
||||
"prepare-llvm": "../script/prepare-llvm-macos.sh lean-llvm*",
|
||||
"binary-check": "otool -L",
|
||||
"tar": "gtar", // https://github.com/actions/runner-images/issues/2619
|
||||
// See "Linux release" for release job levels; Grove is not a concern here
|
||||
// See above for release job levels
|
||||
"check-level": isPr ? 0 : 2,
|
||||
"secondary": isPr,
|
||||
},
|
||||
{
|
||||
"name": "Windows",
|
||||
"os": large && level == 2 ? "namespace-profile-windows-amd64-4x16" : "windows-2022",
|
||||
"os": "windows-2022",
|
||||
"release": true,
|
||||
"check-level": 2,
|
||||
"shell": "msys2 {0}",
|
||||
|
||||
12
.github/workflows/grove.yml
vendored
12
.github/workflows/grove.yml
vendored
@@ -30,8 +30,8 @@ jobs:
|
||||
# Check if it's a push to master (no PR number and target branch is master)
|
||||
if [ -z "${{ steps.workflow-info.outputs.pullRequestNumber }}" ]; then
|
||||
if [ "${{ github.event.workflow_run.head_branch }}" = "master" ]; then
|
||||
echo "Push to master detected. Running Grove."
|
||||
echo "should-run=true" >> "$GITHUB_OUTPUT"
|
||||
echo "Push to master detected. Skipping for now, to be enabled later."
|
||||
echo "should-run=false" >> "$GITHUB_OUTPUT"
|
||||
else
|
||||
echo "Push to non-master branch, skipping"
|
||||
echo "should-run=false" >> "$GITHUB_OUTPUT"
|
||||
@@ -40,7 +40,7 @@ jobs:
|
||||
# Check if it's a PR with grove label
|
||||
PR_LABELS='${{ steps.workflow-info.outputs.pullRequestLabels }}'
|
||||
if echo "$PR_LABELS" | grep -q '"grove"'; then
|
||||
echo "PR with grove label detected. Running Grove."
|
||||
echo "PR with grove label detected"
|
||||
echo "should-run=true" >> "$GITHUB_OUTPUT"
|
||||
else
|
||||
echo "PR without grove label, skipping"
|
||||
@@ -51,7 +51,7 @@ jobs:
|
||||
- name: Fetch upstream invalidated facts
|
||||
if: ${{ steps.should-run.outputs.should-run == 'true' && steps.workflow-info.outputs.pullRequestNumber != '' }}
|
||||
id: fetch-upstream
|
||||
uses: TwoFx/grove-action/fetch-upstream@v0.4
|
||||
uses: TwoFx/grove-action/fetch-upstream@v0.3
|
||||
with:
|
||||
artifact-name: grove-invalidated-facts
|
||||
base-ref: master
|
||||
@@ -64,7 +64,7 @@ jobs:
|
||||
commit: ${{ steps.workflow-info.outputs.sourceHeadSha }}
|
||||
workflow: ci.yml
|
||||
path: artifacts
|
||||
name: "build-Linux release"
|
||||
name: build-Linux.*
|
||||
name_is_regexp: true
|
||||
|
||||
- name: Unpack toolchain
|
||||
@@ -95,7 +95,7 @@ jobs:
|
||||
- name: Build
|
||||
if: ${{ steps.should-run.outputs.should-run == 'true' }}
|
||||
id: build
|
||||
uses: TwoFx/grove-action/build@v0.4
|
||||
uses: TwoFx/grove-action/build@v0.3
|
||||
with:
|
||||
project-path: doc/std/grove
|
||||
script-name: grove-stdlib
|
||||
|
||||
@@ -48,7 +48,3 @@
|
||||
/src/Std/Do @sgraf812
|
||||
/src/Std/Tactic/Do @sgraf812
|
||||
/src/Lean/Elab/Tactic/Do @sgraf812
|
||||
/src/Init/Data/Range/Polymorphic @datokrat
|
||||
/src/Init/Data/Slice @datokrat
|
||||
/src/Init/Data/Iterators @datokrat
|
||||
/src/Std/Data/Iterators @datokrat
|
||||
|
||||
@@ -44,20 +44,15 @@ Useful CMake Configuration Settings
|
||||
Pass these along with the `cmake --preset release` command.
|
||||
There are also two alternative presets that combine some of these options you can use instead of `release`: `debug` and `sandebug` (sanitize + debug).
|
||||
|
||||
* `-DCMAKE_BUILD_TYPE=`\
|
||||
* `-D CMAKE_BUILD_TYPE=`\
|
||||
Select the build type. Valid values are `RELEASE` (default), `DEBUG`,
|
||||
`RELWITHDEBINFO`, and `MINSIZEREL`.
|
||||
|
||||
* `-DCMAKE_C_COMPILER=`\
|
||||
`-DCMAKE_CXX_COMPILER=`\
|
||||
* `-D CMAKE_C_COMPILER=`\
|
||||
`-D CMAKE_CXX_COMPILER=`\
|
||||
Select the C/C++ compilers to use. Official Lean releases currently use Clang;
|
||||
see also `.github/workflows/ci.yml` for the CI config.
|
||||
|
||||
* `-DUSE_LAKE=ON`\
|
||||
Experimental option to build the core libraries using Lake instead of `lean.mk`. Caveats:
|
||||
* As native code compilation is still handled by cmake, changes to stage0/ (such as from `git pull`) are picked up only when invoking the build via `make`, not via `Refresh Dependencies` in the editor.
|
||||
* `USE_LAKE` is not yet compatible with `LAKE_ARTIFACT_CACHE`
|
||||
|
||||
Lean will automatically use [CCache](https://ccache.dev/) if available to avoid
|
||||
redundant builds, especially after stage 0 has been updated.
|
||||
|
||||
|
||||
@@ -1,4 +1,4 @@
|
||||
# Install Packages on OS X
|
||||
# Install Packages on OS X 14.5
|
||||
|
||||
We assume that you are using [homebrew][homebrew] as a package manager.
|
||||
|
||||
@@ -6,23 +6,23 @@ We assume that you are using [homebrew][homebrew] as a package manager.
|
||||
|
||||
## Compilers
|
||||
|
||||
You need a C++14-compatible compiler to build Lean. As of July
|
||||
2025, you have three options:
|
||||
You need a C++11-compatible compiler to build Lean. As of November
|
||||
2014, you have three options:
|
||||
|
||||
- clang++ shipped with OSX (at time of writing v17.0.0)
|
||||
- clang++ via homebrew (at time of writing, v20.1.8)
|
||||
- gcc via homebrew (at time of writing, v15.1.0)
|
||||
- clang++-3.5 (shipped with OSX, Apple LLVM version 6.0)
|
||||
- gcc-4.9.1 (homebrew)
|
||||
- clang++-3.5 (homebrew)
|
||||
|
||||
We recommend to use Apple's clang++ because it is pre-shipped with OS
|
||||
X and requires no further installation.
|
||||
|
||||
To install gcc via homebrew, please execute:
|
||||
To install gcc-4.9.1 via homebrew, please execute:
|
||||
```bash
|
||||
brew install gcc
|
||||
```
|
||||
To install clang via homebrew, please execute:
|
||||
To install clang++-3.5 via homebrew, please execute:
|
||||
```bash
|
||||
brew install llvm lld
|
||||
brew install llvm
|
||||
```
|
||||
To use compilers other than the default one (Apple's clang++), you
|
||||
need to use `-DCMAKE_CXX_COMPILER` option to specify the compiler
|
||||
|
||||
@@ -1,9 +1,5 @@
|
||||
import Grove.Framework
|
||||
import GroveStdlib.Generated.«associative-query-operations»
|
||||
import GroveStdlib.Generated.«associative-creation-operations»
|
||||
import GroveStdlib.Generated.«associative-modification-operations»
|
||||
import GroveStdlib.Generated.«associative-create-then-query»
|
||||
import GroveStdlib.Generated.«associative-all-operations-covered»
|
||||
|
||||
/-
|
||||
This file is autogenerated by grove. You can manually edit it, for example to resolve merge
|
||||
@@ -16,7 +12,3 @@ namespace GroveStdlib.Generated
|
||||
|
||||
def restoreState : RestoreStateM Unit := do
|
||||
«associative-query-operations».restoreState
|
||||
«associative-creation-operations».restoreState
|
||||
«associative-modification-operations».restoreState
|
||||
«associative-create-then-query».restoreState
|
||||
«associative-all-operations-covered».restoreState
|
||||
|
||||
@@ -1,34 +0,0 @@
|
||||
import Grove.Framework
|
||||
|
||||
/-
|
||||
This file is autogenerated by grove. You can manually edit it, for example to resolve merge
|
||||
conflicts, but be careful.
|
||||
-/
|
||||
|
||||
open Grove.Framework Widget
|
||||
|
||||
namespace GroveStdlib.Generated.«associative-all-operations-covered»
|
||||
|
||||
def «all-covered» : Assertion.Fact where
|
||||
widgetId := "associative-all-operations-covered"
|
||||
factId := "all-covered"
|
||||
assertionId := "all-covered"
|
||||
state := {
|
||||
assertionId := "all-covered"
|
||||
description := "All operations should be covered"
|
||||
passed := false
|
||||
message := "There were 19697 operations that were not covered."
|
||||
}
|
||||
metadata := {
|
||||
status := .bad
|
||||
comment := "Still missing some!"
|
||||
}
|
||||
|
||||
def table : Assertion.Data where
|
||||
widgetId := "associative-all-operations-covered"
|
||||
facts := #[
|
||||
«all-covered»,
|
||||
]
|
||||
|
||||
def restoreState : RestoreStateM Unit := do
|
||||
addAssertion table
|
||||
@@ -1,357 +0,0 @@
|
||||
import Grove.Framework
|
||||
|
||||
/-
|
||||
This file is autogenerated by grove. You can manually edit it, for example to resolve merge
|
||||
conflicts, but be careful.
|
||||
-/
|
||||
|
||||
open Grove.Framework Widget
|
||||
|
||||
namespace GroveStdlib.Generated.«associative-create-then-query»
|
||||
|
||||
def «2cb3c441-9663-4ce7-9527-0f40fc29925a:::01f88623-fa5f-4380-9772-b30f2fec5c94:::Std.DHashMap::Std.DHashMap.Raw::Std.ExtDHashMap::Std.DTreeMap::Std.DTreeMap.Raw::Std.ExtDTreeMap» : Table.Fact .subexpression .subexpression .declaration where
|
||||
widgetId := "associative-create-then-query"
|
||||
factId := "2cb3c441-9663-4ce7-9527-0f40fc29925a:::01f88623-fa5f-4380-9772-b30f2fec5c94:::Std.DHashMap::Std.DHashMap.Raw::Std.ExtDHashMap::Std.DTreeMap::Std.DTreeMap.Raw::Std.ExtDTreeMap"
|
||||
rowAssociationId := "2cb3c441-9663-4ce7-9527-0f40fc29925a"
|
||||
columnAssociationId := "01f88623-fa5f-4380-9772-b30f2fec5c94"
|
||||
selectedLayers := #["Std.DHashMap", "Std.DHashMap.Raw", "Std.ExtDHashMap", "Std.DTreeMap", "Std.DTreeMap.Raw", "Std.ExtDTreeMap", ]
|
||||
layerStates := #[
|
||||
{
|
||||
layerIdentifier := "Std.DHashMap"
|
||||
rowState :=
|
||||
|
||||
some ⟨"Std.DHashMap.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.emptyWithCapacity,
|
||||
renderedStatement := "Std.DHashMap.emptyWithCapacity.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α]\n (capacity : Nat := 8) : Std.DHashMap α β",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
columnState :=
|
||||
|
||||
some ⟨"Std.DHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.isEmpty,
|
||||
renderedStatement := "Std.DHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n (m : Std.DHashMap α β) : Bool",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
selectedCellStates := #[
|
||||
]
|
||||
},
|
||||
{
|
||||
layerIdentifier := "Std.DHashMap.Raw"
|
||||
rowState :=
|
||||
|
||||
some ⟨"Std.DHashMap.Raw.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.Raw.emptyWithCapacity,
|
||||
renderedStatement := "Std.DHashMap.Raw.emptyWithCapacity.{u, v} {α : Type u} {β : α → Type v} (capacity : Nat := 8) :\n Std.DHashMap.Raw α β",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
columnState :=
|
||||
|
||||
some ⟨"Std.DHashMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.Raw.isEmpty,
|
||||
renderedStatement := "Std.DHashMap.Raw.isEmpty.{u, v} {α : Type u} {β : α → Type v} (m : Std.DHashMap.Raw α β) : Bool",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
selectedCellStates := #[
|
||||
]
|
||||
},
|
||||
{
|
||||
layerIdentifier := "Std.ExtDHashMap"
|
||||
rowState :=
|
||||
|
||||
some ⟨"Std.ExtDHashMap.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDHashMap.emptyWithCapacity,
|
||||
renderedStatement := "Std.ExtDHashMap.emptyWithCapacity.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α]\n (capacity : Nat := 8) : Std.ExtDHashMap α β",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
columnState :=
|
||||
|
||||
some ⟨"Std.ExtDHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDHashMap.isEmpty,
|
||||
renderedStatement := "Std.ExtDHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n [EquivBEq α] [LawfulHashable α] (m : Std.ExtDHashMap α β) : Bool",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
selectedCellStates := #[
|
||||
]
|
||||
},
|
||||
{
|
||||
layerIdentifier := "Std.DTreeMap"
|
||||
rowState :=
|
||||
|
||||
some ⟨"Std.DTreeMap.empty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.empty,
|
||||
renderedStatement := "Std.DTreeMap.empty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} :\n Std.DTreeMap α β cmp",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
columnState :=
|
||||
|
||||
some ⟨"Std.DTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.isEmpty,
|
||||
renderedStatement := "Std.DTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n (t : Std.DTreeMap α β cmp) : Bool",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
selectedCellStates := #[
|
||||
]
|
||||
},
|
||||
{
|
||||
layerIdentifier := "Std.DTreeMap.Raw"
|
||||
rowState :=
|
||||
|
||||
some ⟨"Std.DTreeMap.Raw.empty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.Raw.empty,
|
||||
renderedStatement := "Std.DTreeMap.Raw.empty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} :\n Std.DTreeMap.Raw α β cmp",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
columnState :=
|
||||
|
||||
some ⟨"Std.DTreeMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.Raw.isEmpty,
|
||||
renderedStatement := "Std.DTreeMap.Raw.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n (t : Std.DTreeMap.Raw α β cmp) : Bool",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
selectedCellStates := #[
|
||||
]
|
||||
},
|
||||
{
|
||||
layerIdentifier := "Std.ExtDTreeMap"
|
||||
rowState :=
|
||||
|
||||
some ⟨"Std.ExtDTreeMap.empty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDTreeMap.empty,
|
||||
renderedStatement := "Std.ExtDTreeMap.empty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} :\n Std.ExtDTreeMap α β cmp",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
columnState :=
|
||||
|
||||
some ⟨"Std.ExtDTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDTreeMap.isEmpty,
|
||||
renderedStatement := "Std.ExtDTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n (t : Std.ExtDTreeMap α β cmp) : Bool",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
selectedCellStates := #[
|
||||
]
|
||||
},
|
||||
]
|
||||
metadata := {
|
||||
status := .done
|
||||
comment := "Not necessary for `ExtDHashMap` because of simp lemma turning into varno"
|
||||
}
|
||||
|
||||
def «5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d:::01f88623-fa5f-4380-9772-b30f2fec5c94:::Std.DHashMap::Std.DHashMap.Raw::Std.ExtDHashMap::Std.DTreeMap::Std.DTreeMap.Raw::Std.ExtDTreeMap» : Table.Fact .subexpression .subexpression .declaration where
|
||||
widgetId := "associative-create-then-query"
|
||||
factId := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d:::01f88623-fa5f-4380-9772-b30f2fec5c94:::Std.DHashMap::Std.DHashMap.Raw::Std.ExtDHashMap::Std.DTreeMap::Std.DTreeMap.Raw::Std.ExtDTreeMap"
|
||||
rowAssociationId := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d"
|
||||
columnAssociationId := "01f88623-fa5f-4380-9772-b30f2fec5c94"
|
||||
selectedLayers := #["Std.DHashMap", "Std.DHashMap.Raw", "Std.ExtDHashMap", "Std.DTreeMap", "Std.DTreeMap.Raw", "Std.ExtDTreeMap", ]
|
||||
layerStates := #[
|
||||
{
|
||||
layerIdentifier := "Std.DHashMap"
|
||||
rowState :=
|
||||
|
||||
some ⟨"app (EmptyCollection.emptyCollection) (Std.DHashMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.DHashMap*)", displayShort := "∅" }⟩
|
||||
|
||||
columnState :=
|
||||
|
||||
some ⟨"Std.DHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.isEmpty,
|
||||
renderedStatement := "Std.DHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n (m : Std.DHashMap α β) : Bool",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
selectedCellStates := #[
|
||||
⟨"Std.DHashMap.isEmpty_empty", Grove.Framework.Declaration.thm
|
||||
{ name := `Std.DHashMap.isEmpty_empty,
|
||||
renderedStatement := "Std.DHashMap.isEmpty_empty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} :\n ∅.isEmpty = true",
|
||||
isSimp := true,
|
||||
isDeprecated := false }⟩
|
||||
,
|
||||
]
|
||||
},
|
||||
{
|
||||
layerIdentifier := "Std.DHashMap.Raw"
|
||||
rowState :=
|
||||
|
||||
some ⟨"app (EmptyCollection.emptyCollection) (Std.DHashMap.Raw*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.DHashMap.Raw*)", displayShort := "∅" }⟩
|
||||
|
||||
columnState :=
|
||||
|
||||
some ⟨"Std.DHashMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.Raw.isEmpty,
|
||||
renderedStatement := "Std.DHashMap.Raw.isEmpty.{u, v} {α : Type u} {β : α → Type v} (m : Std.DHashMap.Raw α β) : Bool",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
selectedCellStates := #[
|
||||
⟨"Std.DHashMap.Raw.isEmpty_emptyc", Grove.Framework.Declaration.thm
|
||||
{ name := `Std.DHashMap.Raw.isEmpty_emptyc,
|
||||
renderedStatement := "Std.DHashMap.Raw.isEmpty_emptyc.{u_1, u_2} {α : Type u_1} {β : α → Type u_2} [BEq α] [Hashable α] :\n ∅.isEmpty = true",
|
||||
isSimp := false,
|
||||
isDeprecated := true }⟩
|
||||
,
|
||||
]
|
||||
},
|
||||
{
|
||||
layerIdentifier := "Std.ExtDHashMap"
|
||||
rowState :=
|
||||
|
||||
some ⟨"app (EmptyCollection.emptyCollection) (Std.ExtDHashMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.ExtDHashMap*)", displayShort := "∅" }⟩
|
||||
|
||||
columnState :=
|
||||
|
||||
some ⟨"Std.ExtDHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDHashMap.isEmpty,
|
||||
renderedStatement := "Std.ExtDHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n [EquivBEq α] [LawfulHashable α] (m : Std.ExtDHashMap α β) : Bool",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
selectedCellStates := #[
|
||||
]
|
||||
},
|
||||
{
|
||||
layerIdentifier := "Std.DTreeMap"
|
||||
rowState :=
|
||||
|
||||
some ⟨"app (EmptyCollection.emptyCollection) (Std.DTreeMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.DTreeMap*)", displayShort := "∅" }⟩
|
||||
|
||||
columnState :=
|
||||
|
||||
some ⟨"Std.DTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.isEmpty,
|
||||
renderedStatement := "Std.DTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n (t : Std.DTreeMap α β cmp) : Bool",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
selectedCellStates := #[
|
||||
⟨"Std.DTreeMap.isEmpty_emptyc", Grove.Framework.Declaration.thm
|
||||
{ name := `Std.DTreeMap.isEmpty_emptyc,
|
||||
renderedStatement := "Std.DTreeMap.isEmpty_emptyc.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} :\n ∅.isEmpty = true",
|
||||
isSimp := true,
|
||||
isDeprecated := false }⟩
|
||||
,
|
||||
]
|
||||
},
|
||||
{
|
||||
layerIdentifier := "Std.DTreeMap.Raw"
|
||||
rowState :=
|
||||
|
||||
some ⟨"app (EmptyCollection.emptyCollection) (Std.DTreeMap.Raw*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.DTreeMap.Raw*)", displayShort := "∅" }⟩
|
||||
|
||||
columnState :=
|
||||
|
||||
some ⟨"Std.DTreeMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.Raw.isEmpty,
|
||||
renderedStatement := "Std.DTreeMap.Raw.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n (t : Std.DTreeMap.Raw α β cmp) : Bool",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
selectedCellStates := #[
|
||||
⟨"Std.DTreeMap.Raw.isEmpty_emptyc", Grove.Framework.Declaration.thm
|
||||
{ name := `Std.DTreeMap.Raw.isEmpty_emptyc,
|
||||
renderedStatement := "Std.DTreeMap.Raw.isEmpty_emptyc.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} :\n ∅.isEmpty = true",
|
||||
isSimp := true,
|
||||
isDeprecated := false }⟩
|
||||
,
|
||||
]
|
||||
},
|
||||
{
|
||||
layerIdentifier := "Std.ExtDTreeMap"
|
||||
rowState :=
|
||||
|
||||
some ⟨"app (EmptyCollection.emptyCollection) (Std.ExtDTreeMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.ExtDTreeMap*)", displayShort := "∅" }⟩
|
||||
|
||||
columnState :=
|
||||
|
||||
some ⟨"Std.ExtDTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDTreeMap.isEmpty,
|
||||
renderedStatement := "Std.ExtDTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n (t : Std.ExtDTreeMap α β cmp) : Bool",
|
||||
isDeprecated := false })⟩
|
||||
|
||||
selectedCellStates := #[
|
||||
⟨"Std.ExtDTreeMap.isEmpty_empty", Grove.Framework.Declaration.thm
|
||||
{ name := `Std.ExtDTreeMap.isEmpty_empty,
|
||||
renderedStatement := "Std.ExtDTreeMap.isEmpty_empty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} :\n ∅.isEmpty = true",
|
||||
isSimp := true,
|
||||
isDeprecated := false }⟩
|
||||
,
|
||||
]
|
||||
},
|
||||
]
|
||||
metadata := {
|
||||
status := .bad
|
||||
comment := "Missing for `ExtDHashMap`"
|
||||
}
|
||||
|
||||
def table : Table.Data .subexpression .subexpression .declaration where
|
||||
widgetId := "associative-create-then-query"
|
||||
selectedRowAssociations := #["2cb3c441-9663-4ce7-9527-0f40fc29925a", "7743a485-024d-43b6-bd5f-ebd3182eb94d", "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d", ]
|
||||
selectedColumnAssociations := #["01f88623-fa5f-4380-9772-b30f2fec5c94", "f084f852-af71-45b6-8ab3-d251a8144f72", ]
|
||||
selectedLayers := #["Std.DHashMap", "Std.DHashMap.Raw", "Std.ExtDHashMap", "Std.DTreeMap", "Std.DTreeMap.Raw", "Std.ExtDTreeMap", ]
|
||||
selectedCellOptions := #[
|
||||
{
|
||||
layerIdentifier := "Std.DHashMap"
|
||||
rowValue := "2cb3c441-9663-4ce7-9527-0f40fc29925a"
|
||||
columnValue := "01f88623-fa5f-4380-9772-b30f2fec5c94"
|
||||
selectedCellOptions := #["Std.DHashMap.isEmpty_emptyWithCapacity", ]
|
||||
},
|
||||
{
|
||||
layerIdentifier := "Std.DHashMap.Raw"
|
||||
rowValue := "2cb3c441-9663-4ce7-9527-0f40fc29925a"
|
||||
columnValue := "01f88623-fa5f-4380-9772-b30f2fec5c94"
|
||||
selectedCellOptions := #["Std.DHashMap.Raw.isEmpty_emptyWithCapacity", ]
|
||||
},
|
||||
{
|
||||
layerIdentifier := "Std.DHashMap"
|
||||
rowValue := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d"
|
||||
columnValue := "01f88623-fa5f-4380-9772-b30f2fec5c94"
|
||||
selectedCellOptions := #["Std.DHashMap.isEmpty_empty", ]
|
||||
},
|
||||
{
|
||||
layerIdentifier := "Std.DHashMap.Raw"
|
||||
rowValue := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d"
|
||||
columnValue := "01f88623-fa5f-4380-9772-b30f2fec5c94"
|
||||
selectedCellOptions := #["Std.DHashMap.Raw.isEmpty_emptyc", ]
|
||||
},
|
||||
{
|
||||
layerIdentifier := "Std.DTreeMap"
|
||||
rowValue := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d"
|
||||
columnValue := "01f88623-fa5f-4380-9772-b30f2fec5c94"
|
||||
selectedCellOptions := #["Std.DTreeMap.isEmpty_emptyc", ]
|
||||
},
|
||||
{
|
||||
layerIdentifier := "Std.DTreeMap.Raw"
|
||||
rowValue := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d"
|
||||
columnValue := "01f88623-fa5f-4380-9772-b30f2fec5c94"
|
||||
selectedCellOptions := #["Std.DTreeMap.Raw.isEmpty_emptyc", ]
|
||||
},
|
||||
{
|
||||
layerIdentifier := "Std.ExtDTreeMap"
|
||||
rowValue := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d"
|
||||
columnValue := "01f88623-fa5f-4380-9772-b30f2fec5c94"
|
||||
selectedCellOptions := #["Std.ExtDTreeMap.isEmpty_empty", ]
|
||||
},
|
||||
]
|
||||
facts := #[
|
||||
«2cb3c441-9663-4ce7-9527-0f40fc29925a:::01f88623-fa5f-4380-9772-b30f2fec5c94:::Std.DHashMap::Std.DHashMap.Raw::Std.ExtDHashMap::Std.DTreeMap::Std.DTreeMap.Raw::Std.ExtDTreeMap»,
|
||||
«5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d:::01f88623-fa5f-4380-9772-b30f2fec5c94:::Std.DHashMap::Std.DHashMap.Raw::Std.ExtDHashMap::Std.DTreeMap::Std.DTreeMap.Raw::Std.ExtDTreeMap»,
|
||||
]
|
||||
|
||||
def restoreState : RestoreStateM Unit := do
|
||||
addTable table
|
||||
@@ -1,216 +0,0 @@
|
||||
import Grove.Framework
|
||||
|
||||
/-
|
||||
This file is autogenerated by grove. You can manually edit it, for example to resolve merge
|
||||
conflicts, but be careful.
|
||||
-/
|
||||
|
||||
open Grove.Framework Widget
|
||||
|
||||
namespace GroveStdlib.Generated.«associative-creation-operations»
|
||||
|
||||
def «2cb3c441-9663-4ce7-9527-0f40fc29925a» : AssociationTable.Fact .subexpression where
|
||||
widgetId := "associative-creation-operations"
|
||||
factId := "2cb3c441-9663-4ce7-9527-0f40fc29925a"
|
||||
rowId := "2cb3c441-9663-4ce7-9527-0f40fc29925a"
|
||||
rowState := #[⟨"Std.DHashMap", "Std.DHashMap.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.emptyWithCapacity,
|
||||
renderedStatement := "Std.DHashMap.emptyWithCapacity.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α]\n (capacity : Nat := 8) : Std.DHashMap α β",
|
||||
isDeprecated := false })⟩,⟨"Std.DHashMap.Raw", "Std.DHashMap.Raw.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.Raw.emptyWithCapacity,
|
||||
renderedStatement := "Std.DHashMap.Raw.emptyWithCapacity.{u, v} {α : Type u} {β : α → Type v} (capacity : Nat := 8) :\n Std.DHashMap.Raw α β",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtDHashMap", "Std.ExtDHashMap.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDHashMap.emptyWithCapacity,
|
||||
renderedStatement := "Std.ExtDHashMap.emptyWithCapacity.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α]\n (capacity : Nat := 8) : Std.ExtDHashMap α β",
|
||||
isDeprecated := false })⟩,⟨"Std.DTreeMap", "Std.DTreeMap.empty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.empty,
|
||||
renderedStatement := "Std.DTreeMap.empty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} :\n Std.DTreeMap α β cmp",
|
||||
isDeprecated := false })⟩,⟨"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.empty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.Raw.empty,
|
||||
renderedStatement := "Std.DTreeMap.Raw.empty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} :\n Std.DTreeMap.Raw α β cmp",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtDTreeMap", "Std.ExtDTreeMap.empty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDTreeMap.empty,
|
||||
renderedStatement := "Std.ExtDTreeMap.empty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} :\n Std.ExtDTreeMap α β cmp",
|
||||
isDeprecated := false })⟩,⟨"Std.HashMap", "Std.HashMap.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashMap.emptyWithCapacity,
|
||||
renderedStatement := "Std.HashMap.emptyWithCapacity.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α]\n (capacity : Nat := 8) : Std.HashMap α β",
|
||||
isDeprecated := false })⟩,⟨"Std.HashMap.Raw", "Std.HashMap.Raw.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashMap.Raw.emptyWithCapacity,
|
||||
renderedStatement := "Std.HashMap.Raw.emptyWithCapacity.{u, v} {α : Type u} {β : Type v} (capacity : Nat := 8) :\n Std.HashMap.Raw α β",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtHashMap", "Std.ExtHashMap.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtHashMap.emptyWithCapacity,
|
||||
renderedStatement := "Std.ExtHashMap.emptyWithCapacity.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α]\n (capacity : Nat := 8) : Std.ExtHashMap α β",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeMap", "Std.TreeMap.empty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeMap.empty,
|
||||
renderedStatement := "Std.TreeMap.empty.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} : Std.TreeMap α β cmp",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeMap.Raw", "Std.TreeMap.Raw.empty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeMap.Raw.empty,
|
||||
renderedStatement := "Std.TreeMap.Raw.empty.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} :\n Std.TreeMap.Raw α β cmp",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtTreeMap", "Std.ExtTreeMap.empty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtTreeMap.empty,
|
||||
renderedStatement := "Std.ExtTreeMap.empty.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} :\n Std.ExtTreeMap α β cmp",
|
||||
isDeprecated := false })⟩,⟨"Std.HashSet", "Std.HashSet.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashSet.emptyWithCapacity,
|
||||
renderedStatement := "Std.HashSet.emptyWithCapacity.{u} {α : Type u} [BEq α] [Hashable α] (capacity : Nat := 8) :\n Std.HashSet α",
|
||||
isDeprecated := false })⟩,⟨"Std.HashSet.Raw", "Std.HashSet.Raw.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashSet.Raw.emptyWithCapacity,
|
||||
renderedStatement := "Std.HashSet.Raw.emptyWithCapacity.{u} {α : Type u} (capacity : Nat := 8) : Std.HashSet.Raw α",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtHashSet", "Std.ExtHashSet.emptyWithCapacity", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtHashSet.emptyWithCapacity,
|
||||
renderedStatement := "Std.ExtHashSet.emptyWithCapacity.{u} {α : Type u} [BEq α] [Hashable α] (capacity : Nat := 8) :\n Std.ExtHashSet α",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeSet", "Std.TreeSet.empty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeSet.empty,
|
||||
renderedStatement := "Std.TreeSet.empty.{u} {α : Type u} {cmp : α → α → Ordering} : Std.TreeSet α cmp",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeSet.Raw", "Std.TreeSet.Raw.empty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeSet.Raw.empty,
|
||||
renderedStatement := "Std.TreeSet.Raw.empty.{u} {α : Type u} {cmp : α → α → Ordering} : Std.TreeSet.Raw α cmp",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtTreeSet", "Std.ExtTreeSet.empty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtTreeSet.empty,
|
||||
renderedStatement := "Std.ExtTreeSet.empty.{u} {α : Type u} {cmp : α → α → Ordering} : Std.ExtTreeSet α cmp",
|
||||
isDeprecated := false })⟩,]
|
||||
metadata := {
|
||||
status := .done
|
||||
comment := ""
|
||||
}
|
||||
def «7743a485-024d-43b6-bd5f-ebd3182eb94d» : AssociationTable.Fact .subexpression where
|
||||
widgetId := "associative-creation-operations"
|
||||
factId := "7743a485-024d-43b6-bd5f-ebd3182eb94d"
|
||||
rowId := "7743a485-024d-43b6-bd5f-ebd3182eb94d"
|
||||
rowState := #[⟨"Std.DHashMap", "Std.DHashMap.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.ofList,
|
||||
renderedStatement := "Std.DHashMap.ofList.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α]\n (l : List ((a : α) × β a)) : Std.DHashMap α β",
|
||||
isDeprecated := false })⟩,⟨"Std.DHashMap.Raw", "Std.DHashMap.Raw.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.Raw.ofList,
|
||||
renderedStatement := "Std.DHashMap.Raw.ofList.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α]\n (l : List ((a : α) × β a)) : Std.DHashMap.Raw α β",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtDHashMap", "Std.ExtDHashMap.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDHashMap.ofList,
|
||||
renderedStatement := "Std.ExtDHashMap.ofList.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α]\n (l : List ((a : α) × β a)) : Std.ExtDHashMap α β",
|
||||
isDeprecated := false })⟩,⟨"Std.DTreeMap", "Std.DTreeMap.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.ofList,
|
||||
renderedStatement := "Std.DTreeMap.ofList.{u, v} {α : Type u} {β : α → Type v} (l : List ((a : α) × β a))\n (cmp : α → α → Ordering := by exact compare) : Std.DTreeMap α β cmp",
|
||||
isDeprecated := false })⟩,⟨"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.Raw.ofList,
|
||||
renderedStatement := "Std.DTreeMap.Raw.ofList.{u, v} {α : Type u} {β : α → Type v} (l : List ((a : α) × β a))\n (cmp : α → α → Ordering := by exact compare) : Std.DTreeMap.Raw α β cmp",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtDTreeMap", "Std.ExtDTreeMap.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDTreeMap.ofList,
|
||||
renderedStatement := "Std.ExtDTreeMap.ofList.{u, v} {α : Type u} {β : α → Type v} (l : List ((a : α) × β a))\n (cmp : α → α → Ordering := by exact compare) : Std.ExtDTreeMap α β cmp",
|
||||
isDeprecated := false })⟩,⟨"Std.HashMap", "Std.HashMap.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashMap.ofList,
|
||||
renderedStatement := "Std.HashMap.ofList.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (l : List (α × β)) :\n Std.HashMap α β",
|
||||
isDeprecated := false })⟩,⟨"Std.HashMap.Raw", "Std.HashMap.Raw.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashMap.Raw.ofList,
|
||||
renderedStatement := "Std.HashMap.Raw.ofList.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (l : List (α × β)) :\n Std.HashMap.Raw α β",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtHashMap", "Std.ExtHashMap.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtHashMap.ofList,
|
||||
renderedStatement := "Std.ExtHashMap.ofList.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (l : List (α × β)) :\n Std.ExtHashMap α β",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeMap", "Std.TreeMap.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeMap.ofList,
|
||||
renderedStatement := "Std.TreeMap.ofList.{u, v} {α : Type u} {β : Type v} (l : List (α × β))\n (cmp : α → α → Ordering := by exact compare) : Std.TreeMap α β cmp",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeMap.Raw", "Std.TreeMap.Raw.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeMap.Raw.ofList,
|
||||
renderedStatement := "Std.TreeMap.Raw.ofList.{u, v} {α : Type u} {β : Type v} (l : List (α × β))\n (cmp : α → α → Ordering := by exact compare) : Std.TreeMap.Raw α β cmp",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtTreeMap", "Std.ExtTreeMap.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtTreeMap.ofList,
|
||||
renderedStatement := "Std.ExtTreeMap.ofList.{u, v} {α : Type u} {β : Type v} (l : List (α × β))\n (cmp : α → α → Ordering := by exact compare) : Std.ExtTreeMap α β cmp",
|
||||
isDeprecated := false })⟩,⟨"Std.HashSet", "Std.HashSet.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashSet.ofList,
|
||||
renderedStatement := "Std.HashSet.ofList.{u} {α : Type u} [BEq α] [Hashable α] (l : List α) : Std.HashSet α",
|
||||
isDeprecated := false })⟩,⟨"Std.HashSet.Raw", "Std.HashSet.Raw.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashSet.Raw.ofList,
|
||||
renderedStatement := "Std.HashSet.Raw.ofList.{u} {α : Type u} [BEq α] [Hashable α] (l : List α) : Std.HashSet.Raw α",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtHashSet", "Std.ExtHashSet.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtHashSet.ofList,
|
||||
renderedStatement := "Std.ExtHashSet.ofList.{u} {α : Type u} [BEq α] [Hashable α] (l : List α) : Std.ExtHashSet α",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeSet", "Std.TreeSet.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeSet.ofList,
|
||||
renderedStatement := "Std.TreeSet.ofList.{u} {α : Type u} (l : List α) (cmp : α → α → Ordering := by exact compare) :\n Std.TreeSet α cmp",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeSet.Raw", "Std.TreeSet.Raw.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeSet.Raw.ofList,
|
||||
renderedStatement := "Std.TreeSet.Raw.ofList.{u} {α : Type u} (l : List α) (cmp : α → α → Ordering := by exact compare) :\n Std.TreeSet.Raw α cmp",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtTreeSet", "Std.ExtTreeSet.ofList", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtTreeSet.ofList,
|
||||
renderedStatement := "Std.ExtTreeSet.ofList.{u} {α : Type u} (l : List α) (cmp : α → α → Ordering := by exact compare) :\n Std.ExtTreeSet α cmp",
|
||||
isDeprecated := false })⟩,]
|
||||
metadata := {
|
||||
status := .done
|
||||
comment := ""
|
||||
}
|
||||
def «5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d» : AssociationTable.Fact .subexpression where
|
||||
widgetId := "associative-creation-operations"
|
||||
factId := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d"
|
||||
rowId := "5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d"
|
||||
rowState := #[⟨"Std.DHashMap", "app (EmptyCollection.emptyCollection) (Std.DHashMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.DHashMap*)", displayShort := "∅" }⟩,⟨"Std.DHashMap.Raw", "app (EmptyCollection.emptyCollection) (Std.DHashMap.Raw*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.DHashMap.Raw*)", displayShort := "∅" }⟩,⟨"Std.ExtDHashMap", "app (EmptyCollection.emptyCollection) (Std.ExtDHashMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.ExtDHashMap*)", displayShort := "∅" }⟩,⟨"Std.DTreeMap", "app (EmptyCollection.emptyCollection) (Std.DTreeMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.DTreeMap*)", displayShort := "∅" }⟩,⟨"Std.DTreeMap.Raw", "app (EmptyCollection.emptyCollection) (Std.DTreeMap.Raw*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.DTreeMap.Raw*)", displayShort := "∅" }⟩,⟨"Std.ExtDTreeMap", "app (EmptyCollection.emptyCollection) (Std.ExtDTreeMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.ExtDTreeMap*)", displayShort := "∅" }⟩,⟨"Std.HashMap", "app (EmptyCollection.emptyCollection) (Std.HashMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.HashMap*)", displayShort := "∅" }⟩,⟨"Std.HashMap.Raw", "app (EmptyCollection.emptyCollection) (Std.HashMap.Raw*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.HashMap.Raw*)", displayShort := "∅" }⟩,⟨"Std.ExtHashMap", "app (EmptyCollection.emptyCollection) (Std.ExtHashMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.ExtHashMap*)", displayShort := "∅" }⟩,⟨"Std.TreeMap", "app (EmptyCollection.emptyCollection) (Std.TreeMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.TreeMap*)", displayShort := "∅" }⟩,⟨"Std.TreeMap.Raw", "app (EmptyCollection.emptyCollection) (Std.TreeMap.Raw*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.TreeMap.Raw*)", displayShort := "∅" }⟩,⟨"Std.ExtTreeMap", "app (EmptyCollection.emptyCollection) (Std.ExtTreeMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.ExtTreeMap*)", displayShort := "∅" }⟩,⟨"Std.HashSet", "app (EmptyCollection.emptyCollection) (Std.HashSet*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.HashSet*)", displayShort := "∅" }⟩,⟨"Std.HashSet.Raw", "app (EmptyCollection.emptyCollection) (Std.HashSet.Raw*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.HashSet.Raw*)", displayShort := "∅" }⟩,⟨"Std.ExtHashSet", "app (EmptyCollection.emptyCollection) (Std.ExtHashSet*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.ExtHashSet*)", displayShort := "∅" }⟩,⟨"Std.TreeSet", "app (EmptyCollection.emptyCollection) (Std.TreeSet*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.TreeSet*)", displayShort := "∅" }⟩,⟨"Std.TreeSet.Raw", "app (EmptyCollection.emptyCollection) (Std.TreeSet.Raw*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.TreeSet.Raw*)", displayShort := "∅" }⟩,⟨"Std.ExtTreeSet", "app (EmptyCollection.emptyCollection) (Std.ExtTreeSet*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (EmptyCollection.emptyCollection) (Std.ExtTreeSet*)", displayShort := "∅" }⟩,]
|
||||
metadata := {
|
||||
status := .done
|
||||
comment := ""
|
||||
}
|
||||
|
||||
def table : AssociationTable.Data .subexpression where
|
||||
widgetId := "associative-creation-operations"
|
||||
rows := #[
|
||||
⟨"2cb3c441-9663-4ce7-9527-0f40fc29925a", "empty", #[⟨"Std.DHashMap", "Std.DHashMap.emptyWithCapacity"⟩,⟨"Std.DHashMap.Raw", "Std.DHashMap.Raw.emptyWithCapacity"⟩,⟨"Std.ExtDHashMap", "Std.ExtDHashMap.emptyWithCapacity"⟩,⟨"Std.DTreeMap", "Std.DTreeMap.empty"⟩,⟨"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.empty"⟩,⟨"Std.ExtDTreeMap", "Std.ExtDTreeMap.empty"⟩,⟨"Std.HashMap", "Std.HashMap.emptyWithCapacity"⟩,⟨"Std.HashMap.Raw", "Std.HashMap.Raw.emptyWithCapacity"⟩,⟨"Std.ExtHashMap", "Std.ExtHashMap.emptyWithCapacity"⟩,⟨"Std.TreeMap", "Std.TreeMap.empty"⟩,⟨"Std.TreeMap.Raw", "Std.TreeMap.Raw.empty"⟩,⟨"Std.ExtTreeMap", "Std.ExtTreeMap.empty"⟩,⟨"Std.HashSet", "Std.HashSet.emptyWithCapacity"⟩,⟨"Std.HashSet.Raw", "Std.HashSet.Raw.emptyWithCapacity"⟩,⟨"Std.ExtHashSet", "Std.ExtHashSet.emptyWithCapacity"⟩,⟨"Std.TreeSet", "Std.TreeSet.empty"⟩,⟨"Std.TreeSet.Raw", "Std.TreeSet.Raw.empty"⟩,⟨"Std.ExtTreeSet", "Std.ExtTreeSet.empty"⟩,]⟩,
|
||||
⟨"7743a485-024d-43b6-bd5f-ebd3182eb94d", "ofList", #[⟨"Std.DHashMap", "Std.DHashMap.ofList"⟩,⟨"Std.DHashMap.Raw", "Std.DHashMap.Raw.ofList"⟩,⟨"Std.ExtDHashMap", "Std.ExtDHashMap.ofList"⟩,⟨"Std.DTreeMap", "Std.DTreeMap.ofList"⟩,⟨"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.ofList"⟩,⟨"Std.ExtDTreeMap", "Std.ExtDTreeMap.ofList"⟩,⟨"Std.HashMap", "Std.HashMap.ofList"⟩,⟨"Std.HashMap.Raw", "Std.HashMap.Raw.ofList"⟩,⟨"Std.ExtHashMap", "Std.ExtHashMap.ofList"⟩,⟨"Std.TreeMap", "Std.TreeMap.ofList"⟩,⟨"Std.TreeMap.Raw", "Std.TreeMap.Raw.ofList"⟩,⟨"Std.ExtTreeMap", "Std.ExtTreeMap.ofList"⟩,⟨"Std.HashSet", "Std.HashSet.ofList"⟩,⟨"Std.HashSet.Raw", "Std.HashSet.Raw.ofList"⟩,⟨"Std.ExtHashSet", "Std.ExtHashSet.ofList"⟩,⟨"Std.TreeSet", "Std.TreeSet.ofList"⟩,⟨"Std.TreeSet.Raw", "Std.TreeSet.Raw.ofList"⟩,⟨"Std.ExtTreeSet", "Std.ExtTreeSet.ofList"⟩,]⟩,
|
||||
⟨"5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d", "emptyCollection", #[⟨"Std.DHashMap", "app (EmptyCollection.emptyCollection) (Std.DHashMap*)"⟩,⟨"Std.DHashMap.Raw", "app (EmptyCollection.emptyCollection) (Std.DHashMap.Raw*)"⟩,⟨"Std.ExtDHashMap", "app (EmptyCollection.emptyCollection) (Std.ExtDHashMap*)"⟩,⟨"Std.DTreeMap", "app (EmptyCollection.emptyCollection) (Std.DTreeMap*)"⟩,⟨"Std.DTreeMap.Raw", "app (EmptyCollection.emptyCollection) (Std.DTreeMap.Raw*)"⟩,⟨"Std.ExtDTreeMap", "app (EmptyCollection.emptyCollection) (Std.ExtDTreeMap*)"⟩,⟨"Std.HashMap", "app (EmptyCollection.emptyCollection) (Std.HashMap*)"⟩,⟨"Std.HashMap.Raw", "app (EmptyCollection.emptyCollection) (Std.HashMap.Raw*)"⟩,⟨"Std.ExtHashMap", "app (EmptyCollection.emptyCollection) (Std.ExtHashMap*)"⟩,⟨"Std.TreeMap", "app (EmptyCollection.emptyCollection) (Std.TreeMap*)"⟩,⟨"Std.TreeMap.Raw", "app (EmptyCollection.emptyCollection) (Std.TreeMap.Raw*)"⟩,⟨"Std.ExtTreeMap", "app (EmptyCollection.emptyCollection) (Std.ExtTreeMap*)"⟩,⟨"Std.HashSet", "app (EmptyCollection.emptyCollection) (Std.HashSet*)"⟩,⟨"Std.HashSet.Raw", "app (EmptyCollection.emptyCollection) (Std.HashSet.Raw*)"⟩,⟨"Std.ExtHashSet", "app (EmptyCollection.emptyCollection) (Std.ExtHashSet*)"⟩,⟨"Std.TreeSet", "app (EmptyCollection.emptyCollection) (Std.TreeSet*)"⟩,⟨"Std.TreeSet.Raw", "app (EmptyCollection.emptyCollection) (Std.TreeSet.Raw*)"⟩,⟨"Std.ExtTreeSet", "app (EmptyCollection.emptyCollection) (Std.ExtTreeSet*)"⟩,]⟩,
|
||||
]
|
||||
facts := #[
|
||||
«2cb3c441-9663-4ce7-9527-0f40fc29925a»,
|
||||
«7743a485-024d-43b6-bd5f-ebd3182eb94d»,
|
||||
«5ceaa26a-d2cb-4df3-9ac8-b5c11db2ae9d»,
|
||||
]
|
||||
|
||||
def restoreState : RestoreStateM Unit := do
|
||||
addAssociationTable table
|
||||
@@ -1,21 +0,0 @@
|
||||
import Grove.Framework
|
||||
|
||||
/-
|
||||
This file is autogenerated by grove. You can manually edit it, for example to resolve merge
|
||||
conflicts, but be careful.
|
||||
-/
|
||||
|
||||
open Grove.Framework Widget
|
||||
|
||||
namespace GroveStdlib.Generated.«associative-modification-operations»
|
||||
|
||||
|
||||
def table : AssociationTable.Data .subexpression where
|
||||
widgetId := "associative-modification-operations"
|
||||
rows := #[
|
||||
]
|
||||
facts := #[
|
||||
]
|
||||
|
||||
def restoreState : RestoreStateM Unit := do
|
||||
addAssociationTable table
|
||||
@@ -16,7 +16,7 @@ def «01f88623-fa5f-4380-9772-b30f2fec5c94» : AssociationTable.Fact .subexpress
|
||||
rowState := #[⟨"Std.DHashMap", "Std.DHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.isEmpty,
|
||||
renderedStatement := "Std.DHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n (m : Std.DHashMap α β) : Bool",
|
||||
renderedStatement := "Std.DHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.DHashMap α β) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.DHashMap.Raw", "Std.DHashMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.Raw.isEmpty,
|
||||
@@ -24,23 +24,23 @@ def «01f88623-fa5f-4380-9772-b30f2fec5c94» : AssociationTable.Fact .subexpress
|
||||
isDeprecated := false })⟩,⟨"Std.ExtDHashMap", "Std.ExtDHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDHashMap.isEmpty,
|
||||
renderedStatement := "Std.ExtDHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n [EquivBEq α] [LawfulHashable α] (m : Std.ExtDHashMap α β) : Bool",
|
||||
renderedStatement := "Std.ExtDHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α]\n [LawfulHashable α] (m : Std.ExtDHashMap α β) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.DTreeMap", "Std.DTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.isEmpty,
|
||||
renderedStatement := "Std.DTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n (t : Std.DTreeMap α β cmp) : Bool",
|
||||
renderedStatement := "Std.DTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} (t : Std.DTreeMap α β cmp) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.Raw.isEmpty,
|
||||
renderedStatement := "Std.DTreeMap.Raw.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n (t : Std.DTreeMap.Raw α β cmp) : Bool",
|
||||
renderedStatement := "Std.DTreeMap.Raw.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} (t : Std.DTreeMap.Raw α β cmp) :\n Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtDTreeMap", "Std.ExtDTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDTreeMap.isEmpty,
|
||||
renderedStatement := "Std.ExtDTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n (t : Std.ExtDTreeMap α β cmp) : Bool",
|
||||
renderedStatement := "Std.ExtDTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} (t : Std.ExtDTreeMap α β cmp) :\n Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.HashMap", "Std.HashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashMap.isEmpty,
|
||||
renderedStatement := "Std.HashMap.isEmpty.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n (m : Std.HashMap α β) : Bool",
|
||||
renderedStatement := "Std.HashMap.isEmpty.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashMap α β) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.HashMap.Raw", "Std.HashMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashMap.Raw.isEmpty,
|
||||
@@ -48,19 +48,19 @@ def «01f88623-fa5f-4380-9772-b30f2fec5c94» : AssociationTable.Fact .subexpress
|
||||
isDeprecated := false })⟩,⟨"Std.ExtHashMap", "Std.ExtHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtHashMap.isEmpty,
|
||||
renderedStatement := "Std.ExtHashMap.isEmpty.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α]\n [LawfulHashable α] (m : Std.ExtHashMap α β) : Bool",
|
||||
renderedStatement := "Std.ExtHashMap.isEmpty.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashMap α β) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeMap", "Std.TreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeMap.isEmpty,
|
||||
renderedStatement := "Std.TreeMap.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering}\n (t : Std.TreeMap α β cmp) : Bool",
|
||||
renderedStatement := "Std.TreeMap.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} (t : Std.TreeMap α β cmp) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeMap.Raw", "Std.TreeMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeMap.Raw.isEmpty,
|
||||
renderedStatement := "Std.TreeMap.Raw.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering}\n (t : Std.TreeMap.Raw α β cmp) : Bool",
|
||||
renderedStatement := "Std.TreeMap.Raw.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} (t : Std.TreeMap.Raw α β cmp) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtTreeMap", "Std.ExtTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtTreeMap.isEmpty,
|
||||
renderedStatement := "Std.ExtTreeMap.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering}\n (t : Std.ExtTreeMap α β cmp) : Bool",
|
||||
renderedStatement := "Std.ExtTreeMap.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} (t : Std.ExtTreeMap α β cmp) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.HashSet", "Std.HashSet.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashSet.isEmpty,
|
||||
@@ -72,7 +72,7 @@ def «01f88623-fa5f-4380-9772-b30f2fec5c94» : AssociationTable.Fact .subexpress
|
||||
isDeprecated := false })⟩,⟨"Std.ExtHashSet", "Std.ExtHashSet.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtHashSet.isEmpty,
|
||||
renderedStatement := "Std.ExtHashSet.isEmpty.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α]\n [LawfulHashable α] (m : Std.ExtHashSet α) : Bool",
|
||||
renderedStatement := "Std.ExtHashSet.isEmpty.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeSet", "Std.TreeSet.isEmpty", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeSet.isEmpty,
|
||||
@@ -97,7 +97,7 @@ def «f084f852-af71-45b6-8ab3-d251a8144f72» : AssociationTable.Fact .subexpress
|
||||
rowState := #[⟨"Std.DHashMap", "Std.DHashMap.size", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.size,
|
||||
renderedStatement := "Std.DHashMap.size.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n (m : Std.DHashMap α β) : Nat",
|
||||
renderedStatement := "Std.DHashMap.size.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.DHashMap α β) : Nat",
|
||||
isDeprecated := false })⟩,⟨"Std.DHashMap.Raw", "Std.DHashMap.Raw.size", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.Raw.size,
|
||||
@@ -105,23 +105,23 @@ def «f084f852-af71-45b6-8ab3-d251a8144f72» : AssociationTable.Fact .subexpress
|
||||
isDeprecated := false })⟩,⟨"Std.ExtDHashMap", "Std.ExtDHashMap.size", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDHashMap.size,
|
||||
renderedStatement := "Std.ExtDHashMap.size.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n [EquivBEq α] [LawfulHashable α] (m : Std.ExtDHashMap α β) : Nat",
|
||||
renderedStatement := "Std.ExtDHashMap.size.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α]\n [LawfulHashable α] (m : Std.ExtDHashMap α β) : Nat",
|
||||
isDeprecated := false })⟩,⟨"Std.DTreeMap", "Std.DTreeMap.size", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.size,
|
||||
renderedStatement := "Std.DTreeMap.size.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n (t : Std.DTreeMap α β cmp) : Nat",
|
||||
renderedStatement := "Std.DTreeMap.size.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} (t : Std.DTreeMap α β cmp) : Nat",
|
||||
isDeprecated := false })⟩,⟨"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.size", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.Raw.size,
|
||||
renderedStatement := "Std.DTreeMap.Raw.size.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n (t : Std.DTreeMap.Raw α β cmp) : Nat",
|
||||
renderedStatement := "Std.DTreeMap.Raw.size.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} (t : Std.DTreeMap.Raw α β cmp) : Nat",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtDTreeMap", "Std.ExtDTreeMap.size", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDTreeMap.size,
|
||||
renderedStatement := "Std.ExtDTreeMap.size.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n (t : Std.ExtDTreeMap α β cmp) : Nat",
|
||||
renderedStatement := "Std.ExtDTreeMap.size.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} (t : Std.ExtDTreeMap α β cmp) : Nat",
|
||||
isDeprecated := false })⟩,⟨"Std.HashMap", "Std.HashMap.size", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashMap.size,
|
||||
renderedStatement := "Std.HashMap.size.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n (m : Std.HashMap α β) : Nat",
|
||||
renderedStatement := "Std.HashMap.size.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashMap α β) : Nat",
|
||||
isDeprecated := false })⟩,⟨"Std.HashMap.Raw", "Std.HashMap.Raw.size", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashMap.Raw.size,
|
||||
@@ -129,19 +129,19 @@ def «f084f852-af71-45b6-8ab3-d251a8144f72» : AssociationTable.Fact .subexpress
|
||||
isDeprecated := false })⟩,⟨"Std.ExtHashMap", "Std.ExtHashMap.size", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtHashMap.size,
|
||||
renderedStatement := "Std.ExtHashMap.size.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α]\n [LawfulHashable α] (m : Std.ExtHashMap α β) : Nat",
|
||||
renderedStatement := "Std.ExtHashMap.size.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashMap α β) : Nat",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeMap", "Std.TreeMap.size", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeMap.size,
|
||||
renderedStatement := "Std.TreeMap.size.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering}\n (t : Std.TreeMap α β cmp) : Nat",
|
||||
renderedStatement := "Std.TreeMap.size.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} (t : Std.TreeMap α β cmp) : Nat",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeMap.Raw", "Std.TreeMap.Raw.size", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeMap.Raw.size,
|
||||
renderedStatement := "Std.TreeMap.Raw.size.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering}\n (t : Std.TreeMap.Raw α β cmp) : Nat",
|
||||
renderedStatement := "Std.TreeMap.Raw.size.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} (t : Std.TreeMap.Raw α β cmp) : Nat",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtTreeMap", "Std.ExtTreeMap.size", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtTreeMap.size,
|
||||
renderedStatement := "Std.ExtTreeMap.size.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering}\n (t : Std.ExtTreeMap α β cmp) : Nat",
|
||||
renderedStatement := "Std.ExtTreeMap.size.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} (t : Std.ExtTreeMap α β cmp) : Nat",
|
||||
isDeprecated := false })⟩,⟨"Std.HashSet", "Std.HashSet.size", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashSet.size,
|
||||
@@ -178,11 +178,11 @@ def «f4e6fa70-5aed-439d-aaad-5f4ced65bf7b» : AssociationTable.Fact .subexpress
|
||||
rowState := #[⟨"Std.DTreeMap", "Std.DTreeMap.any", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.any,
|
||||
renderedStatement := "Std.DTreeMap.any.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n (t : Std.DTreeMap α β cmp) (p : (a : α) → β a → Bool) : Bool",
|
||||
renderedStatement := "Std.DTreeMap.any.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} (t : Std.DTreeMap α β cmp)\n (p : (a : α) → β a → Bool) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.any", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.Raw.any,
|
||||
renderedStatement := "Std.DTreeMap.Raw.any.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n (t : Std.DTreeMap.Raw α β cmp) (p : (a : α) → β a → Bool) : Bool",
|
||||
renderedStatement := "Std.DTreeMap.Raw.any.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} (t : Std.DTreeMap.Raw α β cmp)\n (p : (a : α) → β a → Bool) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtDTreeMap", "Std.ExtDTreeMap.any", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDTreeMap.any,
|
||||
@@ -190,11 +190,11 @@ def «f4e6fa70-5aed-439d-aaad-5f4ced65bf7b» : AssociationTable.Fact .subexpress
|
||||
isDeprecated := false })⟩,⟨"Std.TreeMap", "Std.TreeMap.any", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeMap.any,
|
||||
renderedStatement := "Std.TreeMap.any.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} (t : Std.TreeMap α β cmp)\n (p : α → β → Bool) : Bool",
|
||||
renderedStatement := "Std.TreeMap.any.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} (t : Std.TreeMap α β cmp) (p : α → β → Bool) :\n Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeMap.Raw", "Std.TreeMap.Raw.any", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeMap.Raw.any,
|
||||
renderedStatement := "Std.TreeMap.Raw.any.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering}\n (t : Std.TreeMap.Raw α β cmp) (p : α → β → Bool) : Bool",
|
||||
renderedStatement := "Std.TreeMap.Raw.any.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} (t : Std.TreeMap.Raw α β cmp)\n (p : α → β → Bool) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtTreeMap", "Std.ExtTreeMap.any", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtTreeMap.any,
|
||||
@@ -202,7 +202,7 @@ def «f4e6fa70-5aed-439d-aaad-5f4ced65bf7b» : AssociationTable.Fact .subexpress
|
||||
isDeprecated := false })⟩,⟨"Std.HashSet", "Std.HashSet.any", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashSet.any,
|
||||
renderedStatement := "Std.HashSet.any.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashSet α)\n (p : α → Bool) : Bool",
|
||||
renderedStatement := "Std.HashSet.any.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashSet α) (p : α → Bool) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.HashSet.Raw", "Std.HashSet.Raw.any", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashSet.Raw.any,
|
||||
@@ -210,15 +210,15 @@ def «f4e6fa70-5aed-439d-aaad-5f4ced65bf7b» : AssociationTable.Fact .subexpress
|
||||
isDeprecated := false })⟩,⟨"Std.TreeSet", "Std.TreeSet.any", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeSet.any,
|
||||
renderedStatement := "Std.TreeSet.any.{u} {α : Type u} {cmp : α → α → Ordering} (t : Std.TreeSet α cmp) (p : α → Bool) :\n Bool",
|
||||
renderedStatement := "Std.TreeSet.any.{u} {α : Type u} {cmp : α → α → Ordering} (t : Std.TreeSet α cmp) (p : α → Bool) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeSet.Raw", "Std.TreeSet.Raw.any", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeSet.Raw.any,
|
||||
renderedStatement := "Std.TreeSet.Raw.any.{u} {α : Type u} {cmp : α → α → Ordering} (t : Std.TreeSet.Raw α cmp)\n (p : α → Bool) : Bool",
|
||||
renderedStatement := "Std.TreeSet.Raw.any.{u} {α : Type u} {cmp : α → α → Ordering} (t : Std.TreeSet.Raw α cmp) (p : α → Bool) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtTreeSet", "Std.ExtTreeSet.any", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtTreeSet.any,
|
||||
renderedStatement := "Std.ExtTreeSet.any.{u} {α : Type u} {cmp : α → α → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeSet α cmp) (p : α → Bool) : Bool",
|
||||
renderedStatement := "Std.ExtTreeSet.any.{u} {α : Type u} {cmp : α → α → Ordering} [Std.TransCmp cmp] (t : Std.ExtTreeSet α cmp)\n (p : α → Bool) : Bool",
|
||||
isDeprecated := false })⟩,]
|
||||
metadata := {
|
||||
status := .bad
|
||||
@@ -228,51 +228,62 @@ def «c1d181f6-3204-4956-946f-e81619f9feb4» : AssociationTable.Fact .subexpress
|
||||
widgetId := "associative-query-operations"
|
||||
factId := "c1d181f6-3204-4956-946f-e81619f9feb4"
|
||||
rowId := "c1d181f6-3204-4956-946f-e81619f9feb4"
|
||||
rowState := #[⟨"Std.DTreeMap", "Std.DTreeMap.all", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.all,
|
||||
renderedStatement := "Std.DTreeMap.all.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n (t : Std.DTreeMap α β cmp) (p : (a : α) → β a → Bool) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.all", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.Raw.all,
|
||||
renderedStatement := "Std.DTreeMap.Raw.all.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n (t : Std.DTreeMap.Raw α β cmp) (p : (a : α) → β a → Bool) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtDTreeMap", "Std.ExtDTreeMap.all", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDTreeMap.all,
|
||||
renderedStatement := "Std.ExtDTreeMap.all.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtDTreeMap α β cmp) (p : (a : α) → β a → Bool) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeMap", "Std.TreeMap.all", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeMap.all,
|
||||
renderedStatement := "Std.TreeMap.all.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} (t : Std.TreeMap α β cmp)\n (p : α → β → Bool) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeMap.Raw", "Std.TreeMap.Raw.all", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeMap.Raw.all,
|
||||
renderedStatement := "Std.TreeMap.Raw.all.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering}\n (t : Std.TreeMap.Raw α β cmp) (p : α → β → Bool) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtTreeMap", "Std.ExtTreeMap.all", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtTreeMap.all,
|
||||
renderedStatement := "Std.ExtTreeMap.all.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeMap α β cmp) (p : α → β → Bool) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.HashSet", "Std.HashSet.all", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashSet.all,
|
||||
renderedStatement := "Std.HashSet.all.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashSet α)\n (p : α → Bool) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.HashSet.Raw", "Std.HashSet.Raw.all", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashSet.Raw.all,
|
||||
renderedStatement := "Std.HashSet.Raw.all.{u} {α : Type u} (m : Std.HashSet.Raw α) (p : α → Bool) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeSet", "Std.TreeSet.all", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeSet.all,
|
||||
renderedStatement := "Std.TreeSet.all.{u} {α : Type u} {cmp : α → α → Ordering} (t : Std.TreeSet α cmp) (p : α → Bool) :\n Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeSet.Raw", "Std.TreeSet.Raw.all", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeSet.Raw.all,
|
||||
renderedStatement := "Std.TreeSet.Raw.all.{u} {α : Type u} {cmp : α → α → Ordering} (t : Std.TreeSet.Raw α cmp)\n (p : α → Bool) : Bool",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtTreeSet", "Std.ExtTreeSet.all", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtTreeSet.all,
|
||||
renderedStatement := "Std.ExtTreeSet.all.{u} {α : Type u} {cmp : α → α → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeSet α cmp) (p : α → Bool) : Bool",
|
||||
isDeprecated := false })⟩,]
|
||||
rowState := #[⟨"Std.DTreeMap", "Std.DTreeMap.all", .declaration (Declaration.def {
|
||||
name := `Std.DTreeMap.all
|
||||
renderedStatement := "Std.DTreeMap.all.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} (t : Std.DTreeMap α β cmp)\n (p : (a : α) → β a → Bool) : Bool"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.all", .declaration (Declaration.def {
|
||||
name := `Std.DTreeMap.Raw.all
|
||||
renderedStatement := "Std.DTreeMap.Raw.all.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} (t : Std.DTreeMap.Raw α β cmp)\n (p : (a : α) → β a → Bool) : Bool"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.ExtDTreeMap", "Std.ExtDTreeMap.all", .declaration (Declaration.def {
|
||||
name := `Std.ExtDTreeMap.all
|
||||
renderedStatement := "Std.ExtDTreeMap.all.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtDTreeMap α β cmp) (p : (a : α) → β a → Bool) : Bool"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.TreeMap", "Std.TreeMap.all", .declaration (Declaration.def {
|
||||
name := `Std.TreeMap.all
|
||||
renderedStatement := "Std.TreeMap.all.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} (t : Std.TreeMap α β cmp) (p : α → β → Bool) :\n Bool"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.TreeMap.Raw", "Std.TreeMap.Raw.all", .declaration (Declaration.def {
|
||||
name := `Std.TreeMap.Raw.all
|
||||
renderedStatement := "Std.TreeMap.Raw.all.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} (t : Std.TreeMap.Raw α β cmp)\n (p : α → β → Bool) : Bool"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.ExtTreeMap", "Std.ExtTreeMap.all", .declaration (Declaration.def {
|
||||
name := `Std.ExtTreeMap.all
|
||||
renderedStatement := "Std.ExtTreeMap.all.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeMap α β cmp) (p : α → β → Bool) : Bool"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.HashSet", "Std.HashSet.all", .declaration (Declaration.def {
|
||||
name := `Std.HashSet.all
|
||||
renderedStatement := "Std.HashSet.all.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashSet α) (p : α → Bool) : Bool"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.HashSet.Raw", "Std.HashSet.Raw.all", .declaration (Declaration.def {
|
||||
name := `Std.HashSet.Raw.all
|
||||
renderedStatement := "Std.HashSet.Raw.all.{u} {α : Type u} (m : Std.HashSet.Raw α) (p : α → Bool) : Bool"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.TreeSet", "Std.TreeSet.all", .declaration (Declaration.def {
|
||||
name := `Std.TreeSet.all
|
||||
renderedStatement := "Std.TreeSet.all.{u} {α : Type u} {cmp : α → α → Ordering} (t : Std.TreeSet α cmp) (p : α → Bool) : Bool"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.TreeSet.Raw", "Std.TreeSet.Raw.all", .declaration (Declaration.def {
|
||||
name := `Std.TreeSet.Raw.all
|
||||
renderedStatement := "Std.TreeSet.Raw.all.{u} {α : Type u} {cmp : α → α → Ordering} (t : Std.TreeSet.Raw α cmp) (p : α → Bool) : Bool"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.ExtTreeSet", "Std.ExtTreeSet.all", .declaration (Declaration.def {
|
||||
name := `Std.ExtTreeSet.all
|
||||
renderedStatement := "Std.ExtTreeSet.all.{u} {α : Type u} {cmp : α → α → Ordering} [Std.TransCmp cmp] (t : Std.ExtTreeSet α cmp)\n (p : α → Bool) : Bool"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,]
|
||||
metadata := {
|
||||
status := .bad
|
||||
comment := "Missing for some containers"
|
||||
@@ -281,79 +292,97 @@ def «efe57f41-7db7-4303-b3a6-5216a70c43ce» : AssociationTable.Fact .subexpress
|
||||
widgetId := "associative-query-operations"
|
||||
factId := "efe57f41-7db7-4303-b3a6-5216a70c43ce"
|
||||
rowId := "efe57f41-7db7-4303-b3a6-5216a70c43ce"
|
||||
rowState := #[⟨"Std.DHashMap", "Std.DHashMap.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.getD,
|
||||
renderedStatement := "Std.DHashMap.getD.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.DHashMap α β) (a : α) (fallback : β a) : β a",
|
||||
isDeprecated := false })⟩,⟨"Std.DHashMap.Raw", "Std.DHashMap.Raw.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.Raw.getD,
|
||||
renderedStatement := "Std.DHashMap.Raw.getD.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α] [LawfulBEq α]\n (m : Std.DHashMap.Raw α β) (a : α) (fallback : β a) : β a",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtDHashMap", "Std.ExtDHashMap.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDHashMap.getD,
|
||||
renderedStatement := "Std.ExtDHashMap.getD.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n [LawfulBEq α] (m : Std.ExtDHashMap α β) (a : α) (fallback : β a) : β a",
|
||||
isDeprecated := false })⟩,⟨"Std.DTreeMap", "Std.DTreeMap.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.getD,
|
||||
renderedStatement := "Std.DTreeMap.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n [Std.LawfulEqCmp cmp] (t : Std.DTreeMap α β cmp) (a : α) (fallback : β a) : β a",
|
||||
isDeprecated := false })⟩,⟨"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.Raw.getD,
|
||||
renderedStatement := "Std.DTreeMap.Raw.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n [Std.LawfulEqCmp cmp] (t : Std.DTreeMap.Raw α β cmp) (a : α) (fallback : β a) : β a",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtDTreeMap", "Std.ExtDTreeMap.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDTreeMap.getD,
|
||||
renderedStatement := "Std.ExtDTreeMap.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n [Std.TransCmp cmp] [Std.LawfulEqCmp cmp] (t : Std.ExtDTreeMap α β cmp) (a : α) (fallback : β a) :\n β a",
|
||||
isDeprecated := false })⟩,⟨"Std.HashMap", "Std.HashMap.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashMap.getD,
|
||||
renderedStatement := "Std.HashMap.getD.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n (m : Std.HashMap α β) (a : α) (fallback : β) : β",
|
||||
isDeprecated := false })⟩,⟨"Std.HashMap.Raw", "Std.HashMap.Raw.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashMap.Raw.getD,
|
||||
renderedStatement := "Std.HashMap.Raw.getD.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (m : Std.HashMap.Raw α β)\n (a : α) (fallback : β) : β",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtHashMap", "Std.ExtHashMap.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtHashMap.getD,
|
||||
renderedStatement := "Std.ExtHashMap.getD.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α]\n [LawfulHashable α] (m : Std.ExtHashMap α β) (a : α) (fallback : β) : β",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeMap", "Std.TreeMap.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeMap.getD,
|
||||
renderedStatement := "Std.TreeMap.getD.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} (t : Std.TreeMap α β cmp)\n (a : α) (fallback : β) : β",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeMap.Raw", "Std.TreeMap.Raw.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeMap.Raw.getD,
|
||||
renderedStatement := "Std.TreeMap.Raw.getD.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering}\n (t : Std.TreeMap.Raw α β cmp) (a : α) (fallback : β) : β",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtTreeMap", "Std.ExtTreeMap.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtTreeMap.getD,
|
||||
renderedStatement := "Std.ExtTreeMap.getD.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeMap α β cmp) (a : α) (fallback : β) : β",
|
||||
isDeprecated := false })⟩,⟨"Std.HashSet", "Std.HashSet.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashSet.getD,
|
||||
renderedStatement := "Std.HashSet.getD.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet α) (a fallback : α) : α",
|
||||
isDeprecated := false })⟩,⟨"Std.HashSet.Raw", "Std.HashSet.Raw.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashSet.Raw.getD,
|
||||
renderedStatement := "Std.HashSet.Raw.getD.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet.Raw α)\n (a fallback : α) : α",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtHashSet", "Std.ExtHashSet.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtHashSet.getD,
|
||||
renderedStatement := "Std.ExtHashSet.getD.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) (a fallback : α) : α",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeSet", "Std.TreeSet.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeSet.getD,
|
||||
renderedStatement := "Std.TreeSet.getD.{u} {α : Type u} {cmp : α → α → Ordering} (t : Std.TreeSet α cmp)\n (a fallback : α) : α",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeSet.Raw", "Std.TreeSet.Raw.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeSet.Raw.getD,
|
||||
renderedStatement := "Std.TreeSet.Raw.getD.{u} {α : Type u} {cmp : α → α → Ordering} (t : Std.TreeSet.Raw α cmp)\n (a fallback : α) : α",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtTreeSet", "Std.ExtTreeSet.getD", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtTreeSet.getD,
|
||||
renderedStatement := "Std.ExtTreeSet.getD.{u} {α : Type u} {cmp : α → α → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeSet α cmp) (a fallback : α) : α",
|
||||
isDeprecated := false })⟩,]
|
||||
rowState := #[⟨"Std.DHashMap", "Std.DHashMap.getD", .declaration (Declaration.def {
|
||||
name := `Std.DHashMap.getD
|
||||
renderedStatement := "Std.DHashMap.getD.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.DHashMap α β) (a : α) (fallback : β a) : β a"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.DHashMap.Raw", "Std.DHashMap.Raw.getD", .declaration (Declaration.def {
|
||||
name := `Std.DHashMap.Raw.getD
|
||||
renderedStatement := "Std.DHashMap.Raw.getD.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α] [LawfulBEq α] (m : Std.DHashMap.Raw α β)\n (a : α) (fallback : β a) : β a"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.ExtDHashMap", "Std.ExtDHashMap.getD", .declaration (Declaration.def {
|
||||
name := `Std.ExtDHashMap.getD
|
||||
renderedStatement := "Std.ExtDHashMap.getD.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.ExtDHashMap α β) (a : α) (fallback : β a) : β a"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.DTreeMap", "Std.DTreeMap.getD", .declaration (Declaration.def {
|
||||
name := `Std.DTreeMap.getD
|
||||
renderedStatement := "Std.DTreeMap.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap α β cmp) (a : α) (fallback : β a) : β a"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.getD", .declaration (Declaration.def {
|
||||
name := `Std.DTreeMap.Raw.getD
|
||||
renderedStatement := "Std.DTreeMap.Raw.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap.Raw α β cmp) (a : α) (fallback : β a) : β a"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.ExtDTreeMap", "Std.ExtDTreeMap.getD", .declaration (Declaration.def {
|
||||
name := `Std.ExtDTreeMap.getD
|
||||
renderedStatement := "Std.ExtDTreeMap.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} [Std.TransCmp cmp]\n [Std.LawfulEqCmp cmp] (t : Std.ExtDTreeMap α β cmp) (a : α) (fallback : β a) : β a"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.HashMap", "Std.HashMap.getD", .declaration (Declaration.def {
|
||||
name := `Std.HashMap.getD
|
||||
renderedStatement := "Std.HashMap.getD.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashMap α β) (a : α)\n (fallback : β) : β"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.HashMap.Raw", "Std.HashMap.Raw.getD", .declaration (Declaration.def {
|
||||
name := `Std.HashMap.Raw.getD
|
||||
renderedStatement := "Std.HashMap.Raw.getD.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (m : Std.HashMap.Raw α β) (a : α)\n (fallback : β) : β"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.ExtHashMap", "Std.ExtHashMap.getD", .declaration (Declaration.def {
|
||||
name := `Std.ExtHashMap.getD
|
||||
renderedStatement := "Std.ExtHashMap.getD.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashMap α β) (a : α) (fallback : β) : β"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.TreeMap", "Std.TreeMap.getD", .declaration (Declaration.def {
|
||||
name := `Std.TreeMap.getD
|
||||
renderedStatement := "Std.TreeMap.getD.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} (t : Std.TreeMap α β cmp) (a : α)\n (fallback : β) : β"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.TreeMap.Raw", "Std.TreeMap.Raw.getD", .declaration (Declaration.def {
|
||||
name := `Std.TreeMap.Raw.getD
|
||||
renderedStatement := "Std.TreeMap.Raw.getD.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} (t : Std.TreeMap.Raw α β cmp) (a : α)\n (fallback : β) : β"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.ExtTreeMap", "Std.ExtTreeMap.getD", .declaration (Declaration.def {
|
||||
name := `Std.ExtTreeMap.getD
|
||||
renderedStatement := "Std.ExtTreeMap.getD.{u, v} {α : Type u} {β : Type v} {cmp : α → α → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeMap α β cmp) (a : α) (fallback : β) : β"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.HashSet", "Std.HashSet.getD", .declaration (Declaration.def {
|
||||
name := `Std.HashSet.getD
|
||||
renderedStatement := "Std.HashSet.getD.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet α) (a fallback : α) : α"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.HashSet.Raw", "Std.HashSet.Raw.getD", .declaration (Declaration.def {
|
||||
name := `Std.HashSet.Raw.getD
|
||||
renderedStatement := "Std.HashSet.Raw.getD.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet.Raw α) (a fallback : α) : α"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.ExtHashSet", "Std.ExtHashSet.getD", .declaration (Declaration.def {
|
||||
name := `Std.ExtHashSet.getD
|
||||
renderedStatement := "Std.ExtHashSet.getD.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) (a fallback : α) : α"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.TreeSet", "Std.TreeSet.getD", .declaration (Declaration.def {
|
||||
name := `Std.TreeSet.getD
|
||||
renderedStatement := "Std.TreeSet.getD.{u} {α : Type u} {cmp : α → α → Ordering} (t : Std.TreeSet α cmp) (a fallback : α) : α"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.TreeSet.Raw", "Std.TreeSet.Raw.getD", .declaration (Declaration.def {
|
||||
name := `Std.TreeSet.Raw.getD
|
||||
renderedStatement := "Std.TreeSet.Raw.getD.{u} {α : Type u} {cmp : α → α → Ordering} (t : Std.TreeSet.Raw α cmp) (a fallback : α) : α"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.ExtTreeSet", "Std.ExtTreeSet.getD", .declaration (Declaration.def {
|
||||
name := `Std.ExtTreeSet.getD
|
||||
renderedStatement := "Std.ExtTreeSet.getD.{u} {α : Type u} {cmp : α → α → Ordering} [Std.TransCmp cmp] (t : Std.ExtTreeSet α cmp)\n (a fallback : α) : α"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,]
|
||||
metadata := {
|
||||
status := .done
|
||||
comment := ""
|
||||
@@ -362,61 +391,73 @@ def «e23b1119-3b57-433e-a68d-68fd70b9943d» : AssociationTable.Fact .subexpress
|
||||
widgetId := "associative-query-operations"
|
||||
factId := "e23b1119-3b57-433e-a68d-68fd70b9943d"
|
||||
rowId := "e23b1119-3b57-433e-a68d-68fd70b9943d"
|
||||
rowState := #[⟨"Std.DHashMap", "Std.DHashMap.get", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.get,
|
||||
renderedStatement := "Std.DHashMap.get.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.DHashMap α β) (a : α) (h : a ∈ m) : β a",
|
||||
isDeprecated := false })⟩,⟨"Std.DHashMap.Raw", "Std.DHashMap.Raw.Const.get", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DHashMap.Raw.Const.get,
|
||||
renderedStatement := "Std.DHashMap.Raw.Const.get.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α]\n (m : Std.DHashMap.Raw α fun x => β) (a : α) (h : a ∈ m) : β",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtDHashMap", "Std.ExtDHashMap.get", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDHashMap.get,
|
||||
renderedStatement := "Std.ExtDHashMap.get.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n [LawfulBEq α] (m : Std.ExtDHashMap α β) (a : α) (h : a ∈ m) : β a",
|
||||
isDeprecated := false })⟩,⟨"Std.DTreeMap", "Std.DTreeMap.get", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.get,
|
||||
renderedStatement := "Std.DTreeMap.get.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap α β cmp) (a : α) (h : a ∈ t) : β a",
|
||||
isDeprecated := false })⟩,⟨"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.get", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.DTreeMap.Raw.get,
|
||||
renderedStatement := "Std.DTreeMap.Raw.get.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering}\n [Std.LawfulEqCmp cmp] (t : Std.DTreeMap.Raw α β cmp) (a : α) (h : a ∈ t) : β a",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtDTreeMap", "Std.ExtDTreeMap.get", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtDTreeMap.get,
|
||||
renderedStatement := "Std.ExtDTreeMap.get.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} [Std.TransCmp cmp]\n [Std.LawfulEqCmp cmp] (t : Std.ExtDTreeMap α β cmp) (a : α) (h : a ∈ t) : β a",
|
||||
isDeprecated := false })⟩,⟨"Std.HashMap", "app (GetElem.getElem) (Std.HashMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
rowState := #[⟨"Std.DHashMap", "Std.DHashMap.get", .declaration (Declaration.def {
|
||||
name := `Std.DHashMap.get
|
||||
renderedStatement := "Std.DHashMap.get.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.DHashMap α β) (a : α) (h : a ∈ m) : β a"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.DHashMap.Raw", "Std.DHashMap.Raw.Const.get", .declaration (Declaration.def {
|
||||
name := `Std.DHashMap.Raw.Const.get
|
||||
renderedStatement := "Std.DHashMap.Raw.Const.get.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (m : Std.DHashMap.Raw α fun x => β)\n (a : α) (h : a ∈ m) : β"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.ExtDHashMap", "Std.ExtDHashMap.get", .declaration (Declaration.def {
|
||||
name := `Std.ExtDHashMap.get
|
||||
renderedStatement := "Std.ExtDHashMap.get.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.ExtDHashMap α β) (a : α) (h : a ∈ m) : β a"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.DTreeMap", "Std.DTreeMap.get", .declaration (Declaration.def {
|
||||
name := `Std.DTreeMap.get
|
||||
renderedStatement := "Std.DTreeMap.get.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap α β cmp) (a : α) (h : a ∈ t) : β a"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.get", .declaration (Declaration.def {
|
||||
name := `Std.DTreeMap.Raw.get
|
||||
renderedStatement := "Std.DTreeMap.Raw.get.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap.Raw α β cmp) (a : α) (h : a ∈ t) : β a"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.ExtDTreeMap", "Std.ExtDTreeMap.get", .declaration (Declaration.def {
|
||||
name := `Std.ExtDTreeMap.get
|
||||
renderedStatement := "Std.ExtDTreeMap.get.{u, v} {α : Type u} {β : α → Type v} {cmp : α → α → Ordering} [Std.TransCmp cmp]\n [Std.LawfulEqCmp cmp] (t : Std.ExtDTreeMap α β cmp) (a : α) (h : a ∈ t) : β a"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.HashMap", "app (GetElem.getElem) (Std.HashMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (GetElem.getElem) (Std.HashMap*)", displayShort := "Std.HashMap[·]" }⟩,⟨"Std.HashMap.Raw", "app (GetElem.getElem) (Std.HashMap.Raw*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (GetElem.getElem) (Std.HashMap.Raw*)", displayShort := "Std.HashMap.Raw[·]" }⟩,⟨"Std.ExtHashMap", "app (GetElem.getElem) (Std.ExtHashMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (GetElem.getElem) (Std.ExtHashMap*)", displayShort := "Std.ExtHashMap[·]" }⟩,⟨"Std.TreeMap", "app (GetElem.getElem) (Std.TreeMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (GetElem.getElem) (Std.TreeMap*)", displayShort := "Std.TreeMap[·]" }⟩,⟨"Std.TreeMap.Raw", "app (GetElem.getElem) (Std.TreeMap.Raw*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (GetElem.getElem) (Std.TreeMap.Raw*)", displayShort := "Std.TreeMap.Raw[·]" }⟩,⟨"Std.ExtTreeMap", "app (GetElem.getElem) (Std.ExtTreeMap*)", Grove.Framework.Subexpression.State.predicate
|
||||
{ key := "app (GetElem.getElem) (Std.ExtTreeMap*)", displayShort := "Std.ExtTreeMap[·]" }⟩,⟨"Std.HashSet", "Std.HashSet.get", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashSet.get,
|
||||
renderedStatement := "Std.HashSet.get.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet α) (a : α) (h : a ∈ m) : α",
|
||||
isDeprecated := false })⟩,⟨"Std.HashSet.Raw", "Std.HashSet.Raw.get", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.HashSet.Raw.get,
|
||||
renderedStatement := "Std.HashSet.Raw.get.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet.Raw α) (a : α)\n (h : a ∈ m) : α",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtHashSet", "Std.ExtHashSet.get", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtHashSet.get,
|
||||
renderedStatement := "Std.ExtHashSet.get.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) (a : α) (h : a ∈ m) : α",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeSet", "Std.TreeSet.get", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeSet.get,
|
||||
renderedStatement := "Std.TreeSet.get.{u} {α : Type u} {cmp : α → α → Ordering} (t : Std.TreeSet α cmp) (a : α)\n (h : a ∈ t) : α",
|
||||
isDeprecated := false })⟩,⟨"Std.TreeSet.Raw", "Std.TreeSet.Raw.get", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.TreeSet.Raw.get,
|
||||
renderedStatement := "Std.TreeSet.Raw.get.{u} {α : Type u} {cmp : α → α → Ordering} (t : Std.TreeSet.Raw α cmp) (a : α)\n (h : a ∈ t) : α",
|
||||
isDeprecated := false })⟩,⟨"Std.ExtTreeSet", "Std.ExtTreeSet.get", Grove.Framework.Subexpression.State.declaration
|
||||
(Grove.Framework.Declaration.def
|
||||
{ name := `Std.ExtTreeSet.get,
|
||||
renderedStatement := "Std.ExtTreeSet.get.{u} {α : Type u} {cmp : α → α → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeSet α cmp) (a : α) (h : a ∈ t) : α",
|
||||
isDeprecated := false })⟩,]
|
||||
{ key := "app (GetElem.getElem) (Std.ExtTreeMap*)", displayShort := "Std.ExtTreeMap[·]" }⟩,⟨"Std.HashSet", "Std.HashSet.get", .declaration (Declaration.def {
|
||||
name := `Std.HashSet.get
|
||||
renderedStatement := "Std.HashSet.get.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet α) (a : α) (h : a ∈ m) : α"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.HashSet.Raw", "Std.HashSet.Raw.get", .declaration (Declaration.def {
|
||||
name := `Std.HashSet.Raw.get
|
||||
renderedStatement := "Std.HashSet.Raw.get.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet.Raw α) (a : α) (h : a ∈ m) : α"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.ExtHashSet", "Std.ExtHashSet.get", .declaration (Declaration.def {
|
||||
name := `Std.ExtHashSet.get
|
||||
renderedStatement := "Std.ExtHashSet.get.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) (a : α) (h : a ∈ m) : α"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.TreeSet", "Std.TreeSet.get", .declaration (Declaration.def {
|
||||
name := `Std.TreeSet.get
|
||||
renderedStatement := "Std.TreeSet.get.{u} {α : Type u} {cmp : α → α → Ordering} (t : Std.TreeSet α cmp) (a : α) (h : a ∈ t) : α"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.TreeSet.Raw", "Std.TreeSet.Raw.get", .declaration (Declaration.def {
|
||||
name := `Std.TreeSet.Raw.get
|
||||
renderedStatement := "Std.TreeSet.Raw.get.{u} {α : Type u} {cmp : α → α → Ordering} (t : Std.TreeSet.Raw α cmp) (a : α) (h : a ∈ t) : α"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,⟨"Std.ExtTreeSet", "Std.ExtTreeSet.get", .declaration (Declaration.def {
|
||||
name := `Std.ExtTreeSet.get
|
||||
renderedStatement := "Std.ExtTreeSet.get.{u} {α : Type u} {cmp : α → α → Ordering} [Std.TransCmp cmp] (t : Std.ExtTreeSet α cmp) (a : α)\n (h : a ∈ t) : α"
|
||||
isDeprecated := false
|
||||
}
|
||||
)⟩,]
|
||||
metadata := {
|
||||
status := .bad
|
||||
comment := "Should *Set have GetElem?"
|
||||
|
||||
@@ -20,75 +20,23 @@ def sequentialContainers : Node :=
|
||||
|
||||
namespace AssociativeContainers
|
||||
|
||||
def associativeContainers : List Lean.Name :=
|
||||
[`Std.DHashMap, `Std.DHashMap.Raw, `Std.ExtDHashMap, `Std.DTreeMap, `Std.DTreeMap.Raw, `Std.ExtDTreeMap, `Std.HashMap,
|
||||
`Std.HashMap.Raw, `Std.ExtHashMap, `Std.TreeMap, `Std.TreeMap.Raw, `Std.ExtTreeMap, `Std.HashSet, `Std.HashSet.Raw, `Std.ExtHashSet,
|
||||
`Std.TreeSet, `Std.TreeSet.Raw, `Std.ExtTreeSet]
|
||||
|
||||
def associativeQueryOperations : AssociationTable .subexpression associativeContainers where
|
||||
def associativeQueryOperations : AssociationTable .subexpression
|
||||
[`Std.DHashMap, `Std.DHashMap.Raw, `Std.ExtDHashMap, `Std.DTreeMap, `Std.DTreeMap.Raw, `Std.ExtDTreeMap, `Std.HashMap,
|
||||
`Std.HashMap.Raw, `Std.ExtHashMap, `Std.TreeMap, `Std.TreeMap.Raw, `Std.ExtTreeMap, `Std.HashSet, `Std.HashSet.Raw, `Std.ExtHashSet,
|
||||
`Std.TreeSet, `Std.TreeSet.Raw, `Std.ExtTreeSet] where
|
||||
id := "associative-query-operations"
|
||||
title := "Associative query operations"
|
||||
description := "Operations that take as input an associative container and return a 'single' piece of information (e.g., `GetElem` or `isEmpty`, but not `toList`)."
|
||||
dataSources n :=
|
||||
(DataSource.definitionsInNamespace n)
|
||||
(DataSource.declarationsInNamespace n .definitionsOnly)
|
||||
|>.map Subexpression.declaration
|
||||
|>.or (DataSource.getElem n)
|
||||
|
||||
def associativeCreationOperations : AssociationTable .subexpression associativeContainers where
|
||||
id := "associative-creation-operations"
|
||||
title := "Associative creation operations"
|
||||
description := "Operations that create a new associative container"
|
||||
dataSources n :=
|
||||
(DataSource.definitionsInNamespace n)
|
||||
|>.map Subexpression.declaration
|
||||
|>.or (DataSource.emptyCollection n)
|
||||
|
||||
def associativeModificationOperations : AssociationTable .subexpression associativeContainers where
|
||||
id := "associative-modification-operations"
|
||||
title := "Associative modification operations"
|
||||
description := "Operations that both accept and return an associative container"
|
||||
dataSources n :=
|
||||
(DataSource.definitionsInNamespace n)
|
||||
|>.map Subexpression.declaration
|
||||
|
||||
def associativeCreateThenQuery : Table .subexpression .subexpression .declaration associativeContainers where
|
||||
id := "associative-create-then-query"
|
||||
title := "Associative create then query"
|
||||
description := "Lemmas that say what happens when creating a new associative container and then immediately querying from it"
|
||||
rowsFrom := .table associativeCreationOperations
|
||||
columnsFrom := .table associativeQueryOperations
|
||||
cellData := .classic _ { relevantNamespaces := associativeContainers }
|
||||
|
||||
def allOperationsCovered : Assertion where
|
||||
widgetId := "associative-all-operations-covered"
|
||||
title := "All operations on associative containers covered"
|
||||
description := "All operations on an associative container should appear in at least one of the tables"
|
||||
check := do
|
||||
let allValuesArray : Array String ← #[associativeQueryOperations, associativeCreationOperations, associativeModificationOperations].flatMapM valuesInAssociationTable
|
||||
let allValues : Std.HashSet String := Std.HashSet.ofArray allValuesArray
|
||||
let env ← Lean.getEnv
|
||||
let mut numBad := 0
|
||||
for (n, _) in env.constants do
|
||||
if associativeContainers.any (fun namesp => namesp.isPrefixOf n) then
|
||||
if !n.toString ∈ allValues then
|
||||
numBad := numBad + 1
|
||||
return #[{
|
||||
assertionId := "all-covered"
|
||||
description := "All operations should be covered"
|
||||
passed := numBad == 0
|
||||
message := if numBad = 0 then "All operations were covered" else s!"There were {numBad} operations that were not covered."
|
||||
}]
|
||||
|
||||
end AssociativeContainers
|
||||
|
||||
open AssociativeContainers in
|
||||
def associativeContainers : Node :=
|
||||
.section "associative-containers" "Associative containers" #[
|
||||
.associationTable associativeQueryOperations,
|
||||
.associationTable associativeCreationOperations,
|
||||
.associationTable associativeModificationOperations,
|
||||
.table associativeCreateThenQuery,
|
||||
.assertion allOperationsCovered
|
||||
.associationTable AssociativeContainers.associativeQueryOperations
|
||||
]
|
||||
|
||||
namespace PersistentDataStructures
|
||||
|
||||
@@ -3,10 +3,8 @@
|
||||
lake exe grove-stdlib --full metadata.json
|
||||
cd .lake/packages/grove/frontend
|
||||
npm install
|
||||
cp ../../../../metadata.json public/metadata.json
|
||||
if [ -f "../../../../invalidated.json" ]; then
|
||||
cp ../../../../invalidated.json public/invalidated.json
|
||||
GROVE_DATA_LOCATION=public/metadata.json GROVE_UPSTREAM_INVALIDATED_FACTS_LOCATION=public/invalidated.json npm run dev
|
||||
GROVE_DATA_LOCATION=../../../../metadata.json GROVE_UPSTREAM_INVALIDATED_FACTS_LOCATION=../../../../invalidated.json npm run dev
|
||||
else
|
||||
GROVE_DATA_LOCATION=public/metadata.json npm run dev
|
||||
fi
|
||||
GROVE_DATA_LOCATION=../../../../metadata.json npm run dev
|
||||
fi
|
||||
@@ -5,7 +5,7 @@
|
||||
"type": "git",
|
||||
"subDir": "backend",
|
||||
"scope": "",
|
||||
"rev": "3e8aabdea58c11813c5d3b7eeb187ded44ee9a34",
|
||||
"rev": "e8127fc6554b99fb988ecdceb770a5e112afbe24",
|
||||
"name": "grove",
|
||||
"manifestFile": "lake-manifest.json",
|
||||
"inputRev": "master",
|
||||
|
||||
@@ -1,96 +1,9 @@
|
||||
#!/usr/bin/env bash
|
||||
set -euxo pipefail
|
||||
set -euo pipefail
|
||||
|
||||
cmake --preset release -DUSE_LAKE=ON 1>&2
|
||||
|
||||
# We benchmark against stage2/bin to test new optimizations.
|
||||
timeout -s KILL 1h time make -C build/release -j$(nproc) stage3 1>&2
|
||||
# We benchmark against stage 2 to test new optimizations.
|
||||
timeout -s KILL 1h time bash -c 'mkdir -p build/release; cd build/release; cmake ../.. && make -j$(nproc) stage2' 1>&2
|
||||
export PATH=$PWD/build/release/stage2/bin:$PATH
|
||||
|
||||
# The extra opts used to be passed to the Makefile during benchmarking only but with Lake it is
|
||||
# easier to configure them statically.
|
||||
cmake -B build/release/stage3 -S src -DLEAN_EXTRA_LAKEFILE_TOML='weakLeanArgs=["-Dprofiler=true", "-Dprofiler.threshold=9999999", "--stats"]' 1>&2
|
||||
|
||||
(
|
||||
cd tests/bench
|
||||
timeout -s KILL 1h time temci exec --config speedcenter.yaml --in speedcenter.exec.velcom.yaml 1>&2
|
||||
temci report run_output.yaml --reporter codespeed2
|
||||
)
|
||||
|
||||
if [ -d .git ]; then
|
||||
DIR="$(git rev-parse @)"
|
||||
BASE_URL="https://speed.lean-lang.org/lean4-out/$DIR"
|
||||
{
|
||||
cat <<'EOF'
|
||||
<!DOCTYPE html>
|
||||
<html>
|
||||
<head>
|
||||
<meta charset="UTF-8">
|
||||
<title>Lakeprof Report</title>
|
||||
</head>
|
||||
<h1>Lakeprof Report</h1>
|
||||
<button type="button" id="btn_fetch">View build trace in Perfetto</button>
|
||||
<script type="text/javascript">
|
||||
const ORIGIN = 'https://ui.perfetto.dev';
|
||||
|
||||
const btnFetch = document.getElementById('btn_fetch');
|
||||
|
||||
async function fetchAndOpen(traceUrl) {
|
||||
const resp = await fetch(traceUrl);
|
||||
// Error checking is left as an exercise to the reader.
|
||||
const blob = await resp.blob();
|
||||
const arrayBuffer = await blob.arrayBuffer();
|
||||
openTrace(arrayBuffer, traceUrl);
|
||||
}
|
||||
|
||||
function openTrace(arrayBuffer, traceUrl) {
|
||||
const win = window.open(ORIGIN);
|
||||
if (!win) {
|
||||
btnFetch.style.background = '#f3ca63';
|
||||
btnFetch.onclick = () => openTrace(arrayBuffer);
|
||||
btnFetch.innerText = 'Popups blocked, click here to open the trace file';
|
||||
return;
|
||||
}
|
||||
|
||||
const timer = setInterval(() => win.postMessage('PING', ORIGIN), 50);
|
||||
|
||||
const onMessageHandler = (evt) => {
|
||||
if (evt.data !== 'PONG') return;
|
||||
|
||||
// We got a PONG, the UI is ready.
|
||||
window.clearInterval(timer);
|
||||
window.removeEventListener('message', onMessageHandler);
|
||||
|
||||
const reopenUrl = new URL(location.href);
|
||||
reopenUrl.hash = `#reopen=${traceUrl}`;
|
||||
win.postMessage({
|
||||
perfetto: {
|
||||
buffer: arrayBuffer,
|
||||
title: 'Lake Build Trace',
|
||||
url: reopenUrl.toString(),
|
||||
}}, ORIGIN);
|
||||
};
|
||||
|
||||
window.addEventListener('message', onMessageHandler);
|
||||
}
|
||||
|
||||
// This is triggered when following the link from the Perfetto UI's sidebar.
|
||||
if (location.hash.startsWith('#reopen=')) {
|
||||
const traceUrl = location.hash.substr(8);
|
||||
fetchAndOpen(traceUrl);
|
||||
}
|
||||
EOF
|
||||
cat <<EOF
|
||||
btnFetch.onclick = () => fetchAndOpen("$BASE_URL/lakeprof.trace_event");
|
||||
</script>
|
||||
EOF
|
||||
echo "<pre><code>"
|
||||
(cd src; lakeprof report -prc)
|
||||
echo "</code></pre>"
|
||||
echo "</body></html>"
|
||||
} | tee index.html
|
||||
|
||||
curl -T index.html $BASE_URL/index.html
|
||||
curl -T src/lakeprof.log $BASE_URL/lakeprof.log
|
||||
curl -T src/lakeprof.trace_event $BASE_URL/lakeprof.trace_event
|
||||
fi
|
||||
|
||||
@@ -28,28 +28,6 @@ repositories:
|
||||
branch: main
|
||||
dependencies: []
|
||||
|
||||
- name: verso
|
||||
url: https://github.com/leanprover/verso
|
||||
toolchain-tag: true
|
||||
stable-branch: false
|
||||
branch: main
|
||||
dependencies: []
|
||||
|
||||
- name: plausible
|
||||
url: https://github.com/leanprover-community/plausible
|
||||
toolchain-tag: true
|
||||
stable-branch: false
|
||||
branch: main
|
||||
dependencies: []
|
||||
|
||||
- name: import-graph
|
||||
url: https://github.com/leanprover-community/import-graph
|
||||
toolchain-tag: true
|
||||
stable-branch: false
|
||||
branch: main
|
||||
dependencies:
|
||||
- lean4-cli
|
||||
|
||||
- name: doc-gen4
|
||||
url: https://github.com/leanprover/doc-gen4
|
||||
toolchain-tag: true
|
||||
@@ -57,6 +35,13 @@ repositories:
|
||||
branch: main
|
||||
dependencies: [lean4-cli]
|
||||
|
||||
- name: verso
|
||||
url: https://github.com/leanprover/verso
|
||||
toolchain-tag: true
|
||||
stable-branch: false
|
||||
branch: main
|
||||
dependencies: []
|
||||
|
||||
- name: reference-manual
|
||||
url: https://github.com/leanprover/reference-manual
|
||||
toolchain-tag: true
|
||||
@@ -80,6 +65,22 @@ repositories:
|
||||
dependencies:
|
||||
- batteries
|
||||
|
||||
- name: import-graph
|
||||
url: https://github.com/leanprover-community/import-graph
|
||||
toolchain-tag: true
|
||||
stable-branch: false
|
||||
branch: main
|
||||
dependencies:
|
||||
- lean4-cli
|
||||
- batteries
|
||||
|
||||
- name: plausible
|
||||
url: https://github.com/leanprover-community/plausible
|
||||
toolchain-tag: true
|
||||
stable-branch: false
|
||||
branch: main
|
||||
dependencies: []
|
||||
|
||||
- name: mathlib4
|
||||
url: https://github.com/leanprover-community/mathlib4
|
||||
toolchain-tag: true
|
||||
|
||||
@@ -195,7 +195,7 @@ def execute_release_steps(repo, version, config):
|
||||
run_command(f"git checkout {default_branch} && git pull", cwd=repo_path)
|
||||
|
||||
# Special rc1 safety check for batteries and mathlib4 (before creating any branches)
|
||||
if repo_name in ["batteries", "mathlib4"] and version.endswith('-rc1'):
|
||||
if re.search(r'rc\d+$', version) and repo_name in ["batteries", "mathlib4"] and version.endswith('-rc1'):
|
||||
print(blue("This repo has nightly-testing infrastructure"))
|
||||
print(blue(f"Checking if nightly-testing can be safely merged into bump/{version.split('-rc')[0]}..."))
|
||||
|
||||
@@ -403,7 +403,7 @@ def execute_release_steps(repo, version, config):
|
||||
raise
|
||||
|
||||
# Handle special merging cases
|
||||
if version.endswith('-rc1') and repo_name in ["batteries", "mathlib4"]:
|
||||
if re.search(r'rc\d+$', version) and repo_name in ["batteries", "mathlib4"]:
|
||||
print(blue("This repo uses `bump/v4.X.0` branches for reviewed content from nightly-testing."))
|
||||
|
||||
# Determine which remote to use for bump branches
|
||||
@@ -474,7 +474,7 @@ def execute_release_steps(repo, version, config):
|
||||
|
||||
print(green("✅ Merge completed successfully with automatic conflict resolution"))
|
||||
|
||||
elif version.endswith('-rc1'):
|
||||
elif re.search(r'rc\d+$', version):
|
||||
# For all other repos with rc versions, merge nightly-testing
|
||||
if repo_name in ["verso", "reference-manual"]:
|
||||
print(yellow("This repo does development on nightly-testing: remember to rebase merge the PR."))
|
||||
|
||||
@@ -533,21 +533,12 @@ else()
|
||||
OUTPUT_VARIABLE GIT_SHA1
|
||||
OUTPUT_STRIP_TRAILING_WHITESPACE)
|
||||
message(STATUS "stage0 sha1: ${GIT_SHA1}")
|
||||
# Now that we've prepared the information for the next stage, we can forget that we will use
|
||||
# Lake in the future as we won't use it in this stage
|
||||
set(USE_LAKE OFF)
|
||||
else()
|
||||
set(GIT_SHA1 "")
|
||||
endif()
|
||||
endif()
|
||||
configure_file("${LEAN_SOURCE_DIR}/githash.h.in" "${LEAN_BINARY_DIR}/githash.h")
|
||||
|
||||
if(USE_LAKE AND ${STAGE} EQUAL 0)
|
||||
# Now that we've prepared the information for the next stage, we can forget that we will use
|
||||
# Lake in the future as we won't use it in this stage
|
||||
set(USE_LAKE OFF)
|
||||
endif()
|
||||
|
||||
# Windows uses ";" as a path separator. We use `LEAN_PATH_SEPARATOR` on scripts such as lean.mk.in
|
||||
if(${CMAKE_SYSTEM_NAME} MATCHES "Windows")
|
||||
set(LEAN_PATH_SEPARATOR ";")
|
||||
@@ -684,17 +675,12 @@ if (LLVM AND ${STAGE} GREATER 0)
|
||||
set(EXTRA_LEANMAKE_OPTS "LLVM=1")
|
||||
endif()
|
||||
|
||||
set(STDLIBS Init Std Lean Leanc)
|
||||
if(NOT ${CMAKE_SYSTEM_NAME} MATCHES "Emscripten")
|
||||
list(APPEND STDLIBS Lake)
|
||||
endif()
|
||||
|
||||
add_custom_target(make_stdlib ALL
|
||||
WORKING_DIRECTORY ${LEAN_SOURCE_DIR}
|
||||
# The actual rule is in a separate makefile because we want to prefix it with '+' to use the Make job server
|
||||
# for a parallelized nested build, but CMake doesn't let us do that.
|
||||
# We use `lean` from the previous stage, but `leanc`, headers, etc. from the current stage
|
||||
COMMAND $(MAKE) -f ${CMAKE_BINARY_DIR}/stdlib.make ${STDLIBS}
|
||||
COMMAND $(MAKE) -f ${CMAKE_BINARY_DIR}/stdlib.make Init Std Lean Leanc
|
||||
VERBATIM)
|
||||
|
||||
# if we have LLVM enabled, then build `lean.h.bc` which has the LLVM bitcode
|
||||
@@ -738,9 +724,14 @@ else()
|
||||
endif()
|
||||
|
||||
if(NOT ${CMAKE_SYSTEM_NAME} MATCHES "Emscripten")
|
||||
add_custom_target(lake_shared
|
||||
add_custom_target(lake_lib
|
||||
WORKING_DIRECTORY ${LEAN_SOURCE_DIR}
|
||||
DEPENDS leanshared
|
||||
COMMAND $(MAKE) -f ${CMAKE_BINARY_DIR}/stdlib.make Lake
|
||||
VERBATIM)
|
||||
add_custom_target(lake_shared
|
||||
WORKING_DIRECTORY ${LEAN_SOURCE_DIR}
|
||||
DEPENDS lake_lib
|
||||
COMMAND $(MAKE) -f ${CMAKE_BINARY_DIR}/stdlib.make libLake_shared
|
||||
VERBATIM)
|
||||
add_custom_target(lake ALL
|
||||
@@ -821,12 +812,6 @@ if(LEAN_INSTALL_PREFIX)
|
||||
set(CMAKE_INSTALL_PREFIX "${LEAN_INSTALL_PREFIX}/lean-${LEAN_VERSION_STRING}${LEAN_INSTALL_SUFFIX}")
|
||||
endif()
|
||||
|
||||
if (STAGE GREATER 1)
|
||||
# The build of stage2+ may depend on local changes made to src/ that are not reflected by the
|
||||
# commit hash in stage1/bin/lean, so we make sure to disable the global cache
|
||||
string(APPEND LEAN_EXTRA_LAKEFILE_TOML "\n\nenableArtifactCache = false")
|
||||
endif()
|
||||
|
||||
# Escape for `make`. Yes, twice.
|
||||
string(REPLACE "$" "\\\$$" CMAKE_EXE_LINKER_FLAGS_MAKE "${CMAKE_EXE_LINKER_FLAGS}")
|
||||
configure_file(${LEAN_SOURCE_DIR}/stdlib.make.in ${CMAKE_BINARY_DIR}/stdlib.make)
|
||||
@@ -853,10 +838,6 @@ if(${CMAKE_SYSTEM_NAME} MATCHES "Windows")
|
||||
set(LAKE_LIB_PREFIX "lib")
|
||||
endif()
|
||||
|
||||
if(USE_LAKE)
|
||||
configure_file(${LEAN_SOURCE_DIR}/lakefile.toml.in ${CMAKE_BINARY_DIR}/lakefile.toml)
|
||||
# copy for editing
|
||||
if(STAGE EQUAL 1)
|
||||
configure_file(${LEAN_SOURCE_DIR}/lakefile.toml.in ${LEAN_SOURCE_DIR}/lakefile.toml)
|
||||
endif()
|
||||
if(USE_LAKE AND STAGE EQUAL 1)
|
||||
configure_file(${LEAN_SOURCE_DIR}/lakefile.toml.in ${LEAN_SOURCE_DIR}/lakefile.toml)
|
||||
endif()
|
||||
|
||||
@@ -39,7 +39,7 @@ This gadget is supported by
|
||||
* `simp`, `dsimp` and `rw` in the right-hand-side of an equation
|
||||
* `simp` in the assumptions of congruence rules
|
||||
|
||||
It is ineffective in other positions (hypotheses of rewrite rules) or when used by other tactics
|
||||
It is ineffective in other positions (hyptheses of rewrite rules) or when used by other tactics
|
||||
(e.g. `apply`).
|
||||
-/
|
||||
@[simp ↓, expose]
|
||||
|
||||
@@ -9,7 +9,7 @@ prelude
|
||||
public import Init.Core
|
||||
public import Init.BinderNameHint
|
||||
|
||||
@[expose] public section
|
||||
public section
|
||||
|
||||
universe u v w
|
||||
|
||||
|
||||
@@ -12,7 +12,7 @@ public import Init.Control.Basic
|
||||
public import Init.Control.Id
|
||||
public import Init.Coe
|
||||
|
||||
@[expose] public section
|
||||
public section
|
||||
|
||||
namespace Except
|
||||
variable {ε : Type u}
|
||||
|
||||
@@ -52,4 +52,4 @@ instance ReaderT.tryFinally [MonadFinally m] : MonadFinally (ReaderT ρ m) where
|
||||
A monad with access to a read-only value of type `ρ`. The value can be locally overridden by
|
||||
`withReader`, but it cannot be mutated.
|
||||
-/
|
||||
abbrev ReaderM (ρ : Type u) := ReaderT ρ Id
|
||||
@[reducible] def ReaderM (ρ : Type u) := ReaderT ρ Id
|
||||
|
||||
@@ -187,9 +187,6 @@ match [a, b] with
|
||||
simplifies to `a`. -/
|
||||
syntax (name := simpMatch) "simp_match" : conv
|
||||
|
||||
/-- Removes one or more hypotheses from the local context. -/
|
||||
syntax (name := clear) "clear" (ppSpace colGt term:max)+ : conv
|
||||
|
||||
/-- Executes the given tactic block without converting `conv` goal into a regular goal. -/
|
||||
syntax (name := nestedTacticCore) "tactic'" " => " tacticSeq : conv
|
||||
|
||||
@@ -265,7 +262,7 @@ resulting in `t'`, which becomes the new target subgoal. -/
|
||||
syntax (name := convConvSeq) "conv" " => " convSeq : conv
|
||||
|
||||
/-- `· conv` focuses on the main conv goal and tries to solve it using `s`. -/
|
||||
macro dot:patternIgnore("· " <|> ". ") s:convSeq : conv => `(conv| {%$dot ($s) })
|
||||
macro dot:patternIgnore("·" <|> ".") s:convSeq : conv => `(conv| {%$dot ($s) })
|
||||
|
||||
|
||||
/-- `fail_if_success t` fails if the tactic `t` succeeds. -/
|
||||
@@ -345,7 +342,7 @@ This is the conv mode version of the `lift_lets` tactic.
|
||||
syntax (name := liftLets) "lift_lets " optConfig : conv
|
||||
|
||||
/--
|
||||
Transforms `let` expressions into `have` expressions within the target expression when possible.
|
||||
Transforms `let` expressions into `have` expressions within th etarget expression when possible.
|
||||
This is the conv mode version of the `let_to_have` tactic.
|
||||
-/
|
||||
syntax (name := letToHave) "let_to_have" : conv
|
||||
|
||||
@@ -752,8 +752,6 @@ Unlike `x ≠ y` (which is notation for `Ne x y`), this is `Bool` valued instead
|
||||
|
||||
@[inherit_doc] infix:50 " != " => bne
|
||||
|
||||
macro_rules | `($x != $y) => `(binrel_no_prop% bne $x $y)
|
||||
|
||||
recommended_spelling "bne" for "!=" in [bne, «term_!=_»]
|
||||
|
||||
/-- `ReflBEq α` says that the `BEq` implementation is reflexive. -/
|
||||
@@ -855,8 +853,6 @@ and asserts that `a` and `b` are not equal.
|
||||
|
||||
@[inherit_doc] infix:50 " ≠ " => Ne
|
||||
|
||||
macro_rules | `($x ≠ $y) => `(binrel% Ne $x $y)
|
||||
|
||||
recommended_spelling "ne" for "≠" in [Ne, «term_≠_»]
|
||||
|
||||
section Ne
|
||||
@@ -1536,13 +1532,38 @@ end Setoid
|
||||
/-! # Propositional extensionality -/
|
||||
|
||||
/--
|
||||
The [axiom](lean-manual://section/axioms) of **propositional extensionality**. It asserts that if
|
||||
propositions `a` and `b` are logically equivalent (that is, if `a` can be proved from `b` and vice
|
||||
versa), then `a` and `b` are *equal*, meaning `a` can be replaced with `b` in all contexts.
|
||||
The axiom of **propositional extensionality**. It asserts that if propositions
|
||||
`a` and `b` are logically equivalent (i.e. we can prove `a` from `b` and vice versa),
|
||||
then `a` and `b` are *equal*, meaning that we can replace `a` with `b` in all
|
||||
contexts.
|
||||
|
||||
The standard logical connectives provably respect propositional extensionality. However, an axiom is
|
||||
needed for higher order expressions like `P a` where `P : Prop → Prop` is unknown, as well as for
|
||||
equality. Propositional extensionality is intuitionistically valid.
|
||||
For simple expressions like `a ∧ c ∨ d → e` we can prove that because all the logical
|
||||
connectives respect logical equivalence, we can replace `a` with `b` in this expression
|
||||
without using `propext`. However, for higher order expressions like `P a` where
|
||||
`P : Prop → Prop` is unknown, or indeed for `a = b` itself, we cannot replace `a` with `b`
|
||||
without an axiom which says exactly this.
|
||||
|
||||
This is a relatively uncontroversial axiom, which is intuitionistically valid.
|
||||
It does however block computation when using `#reduce` to reduce proofs directly
|
||||
(which is not recommended), meaning that canonicity,
|
||||
the property that all closed terms of type `Nat` normalize to numerals,
|
||||
fails to hold when this (or any) axiom is used:
|
||||
```
|
||||
set_option pp.proofs true
|
||||
|
||||
def foo : Nat := by
|
||||
have : (True → True) ↔ True := ⟨λ _ => trivial, λ _ _ => trivial⟩
|
||||
have := propext this ▸ (2 : Nat)
|
||||
exact this
|
||||
|
||||
#reduce foo
|
||||
-- propext { mp := fun x x => True.intro, mpr := fun x => True.intro } ▸ 2
|
||||
|
||||
#eval foo -- 2
|
||||
```
|
||||
`#eval` can evaluate it to a numeral because the compiler erases casts and
|
||||
does not evaluate proofs, so `propext`, whose return type is a proposition,
|
||||
can never block it.
|
||||
-/
|
||||
axiom propext {a b : Prop} : (a ↔ b) → a = b
|
||||
|
||||
@@ -1573,7 +1594,6 @@ gen_injective_theorems% MProd
|
||||
gen_injective_theorems% NonScalar
|
||||
gen_injective_theorems% Option
|
||||
gen_injective_theorems% PLift
|
||||
gen_injective_theorems% PULift
|
||||
gen_injective_theorems% PNonScalar
|
||||
gen_injective_theorems% PProd
|
||||
gen_injective_theorems% Prod
|
||||
@@ -2518,7 +2538,3 @@ class Irrefl (r : α → α → Prop) : Prop where
|
||||
irrefl : ∀ a, ¬r a a
|
||||
|
||||
end Std
|
||||
|
||||
/-- Deprecated alias for `XorOp`. -/
|
||||
@[deprecated XorOp (since := "2025-07-30")]
|
||||
abbrev Xor := XorOp
|
||||
|
||||
@@ -49,5 +49,6 @@ public import Init.Data.Vector
|
||||
public import Init.Data.Iterators
|
||||
public import Init.Data.Range.Polymorphic
|
||||
public import Init.Data.Slice
|
||||
public import Init.Data.ByteSlice
|
||||
|
||||
public section
|
||||
|
||||
@@ -10,7 +10,7 @@ prelude
|
||||
public import Init.Classical
|
||||
public import Init.ByCases
|
||||
|
||||
@[expose] public section
|
||||
public section
|
||||
|
||||
namespace Lean.Data.AC
|
||||
inductive Expr
|
||||
|
||||
@@ -1165,7 +1165,7 @@ Examples:
|
||||
def zipIdx (xs : Array α) (start := 0) : Array (α × Nat) :=
|
||||
xs.mapIdx fun i a => (a, start + i)
|
||||
|
||||
|
||||
@[deprecated zipIdx (since := "2025-01-21")] abbrev zipWithIndex := @zipIdx
|
||||
|
||||
/--
|
||||
Returns the first element of the array for which the predicate `p` returns `true`, or `none` if no
|
||||
@@ -1285,7 +1285,7 @@ def findFinIdx? {α : Type u} (p : α → Bool) (as : Array α) : Option (Fin as
|
||||
decreasing_by simp_wf; decreasing_trivial_pre_omega
|
||||
loop 0
|
||||
|
||||
private theorem findIdx?_loop_eq_map_findFinIdx?_loop_val {xs : Array α} {p : α → Bool} {j} :
|
||||
theorem findIdx?_loop_eq_map_findFinIdx?_loop_val {xs : Array α} {p : α → Bool} {j} :
|
||||
findIdx?.loop p xs j = (findFinIdx?.loop p xs j).map (·.val) := by
|
||||
unfold findIdx?.loop
|
||||
unfold findFinIdx?.loop
|
||||
@@ -1322,7 +1322,8 @@ def idxOfAux [BEq α] (xs : Array α) (v : α) (i : Nat) : Option (Fin xs.size)
|
||||
else none
|
||||
decreasing_by simp_wf; decreasing_trivial_pre_omega
|
||||
|
||||
|
||||
@[deprecated idxOfAux (since := "2025-01-29")]
|
||||
abbrev indexOfAux := @idxOfAux
|
||||
|
||||
/--
|
||||
Returns the index of the first element equal to `a`, or the size of the array if no element is equal
|
||||
@@ -1337,7 +1338,8 @@ Examples:
|
||||
def finIdxOf? [BEq α] (xs : Array α) (v : α) : Option (Fin xs.size) :=
|
||||
idxOfAux xs v 0
|
||||
|
||||
|
||||
@[deprecated "`Array.indexOf?` has been deprecated, use `idxOf?` or `finIdxOf?` instead." (since := "2025-01-29")]
|
||||
abbrev indexOf? := @finIdxOf?
|
||||
|
||||
/--
|
||||
Returns the index of the first element equal to `a`, or the size of the array if no element is equal
|
||||
@@ -1954,16 +1956,16 @@ def isPrefixOf [BEq α] (as bs : Array α) : Bool :=
|
||||
false
|
||||
|
||||
@[semireducible, specialize] -- This is otherwise irreducible because it uses well-founded recursion.
|
||||
def zipWithMAux {m : Type v → Type w} [Monad m] (as : Array α) (bs : Array β) (f : α → β → m γ) (i : Nat) (cs : Array γ) : m (Array γ) := do
|
||||
def zipWithAux (as : Array α) (bs : Array β) (f : α → β → γ) (i : Nat) (cs : Array γ) : Array γ :=
|
||||
if h : i < as.size then
|
||||
let a := as[i]
|
||||
if h : i < bs.size then
|
||||
let b := bs[i]
|
||||
zipWithMAux as bs f (i+1) <| cs.push (← f a b)
|
||||
zipWithAux as bs f (i+1) <| cs.push <| f a b
|
||||
else
|
||||
return cs
|
||||
cs
|
||||
else
|
||||
return cs
|
||||
cs
|
||||
decreasing_by simp_wf; decreasing_trivial_pre_omega
|
||||
|
||||
/--
|
||||
@@ -1977,7 +1979,7 @@ Examples:
|
||||
* `#[x₁, x₂, x₃].zipWith f #[y₁, y₂, y₃, y₄] = #[f x₁ y₁, f x₂ y₂, f x₃ y₃]`
|
||||
-/
|
||||
@[inline] def zipWith (f : α → β → γ) (as : Array α) (bs : Array β) : Array γ :=
|
||||
Id.run (zipWithMAux as bs (pure <| f · ·) 0 #[])
|
||||
zipWithAux as bs f 0 #[]
|
||||
|
||||
/--
|
||||
Combines two arrays into an array of pairs in which the first and second components are the
|
||||
@@ -2014,13 +2016,6 @@ where go (as : Array α) (bs : Array β) (i : Nat) (cs : Array γ) :=
|
||||
termination_by max as.size bs.size - i
|
||||
decreasing_by simp_wf; decreasing_trivial_pre_omega
|
||||
|
||||
/--
|
||||
Applies a monadic function to the corresponding elements of two arrays, left-to-right, stopping at
|
||||
the end of the shorter array. `zipWithM f as bs` is equivalent to `mapM id (zipWith f as bs)`.
|
||||
-/
|
||||
@[inline] def zipWithM {m : Type v → Type w} [Monad m] (f : α → β → m γ) (as : Array α) (bs : Array β) : m (Array γ) :=
|
||||
zipWithMAux as bs f 0 #[]
|
||||
|
||||
/--
|
||||
Separates an array of pairs into two arrays that contain the respective first and second components.
|
||||
|
||||
|
||||
@@ -123,9 +123,15 @@ abbrev pop_toList := @Array.toList_pop
|
||||
@[simp, grind =] theorem append_empty {xs : Array α} : xs ++ #[] = xs := by
|
||||
apply ext'; simp only [toList_append, List.append_nil]
|
||||
|
||||
@[deprecated append_empty (since := "2025-01-13")]
|
||||
abbrev append_nil := @append_empty
|
||||
|
||||
@[simp, grind =] theorem empty_append {xs : Array α} : #[] ++ xs = xs := by
|
||||
apply ext'; simp only [toList_append, List.nil_append]
|
||||
|
||||
@[deprecated empty_append (since := "2025-01-13")]
|
||||
abbrev nil_append := @empty_append
|
||||
|
||||
@[simp, grind _=_] theorem append_assoc {xs ys zs : Array α} : xs ++ ys ++ zs = xs ++ (ys ++ zs) := by
|
||||
apply ext'; simp only [toList_append, List.append_assoc]
|
||||
|
||||
@@ -136,6 +142,7 @@ abbrev pop_toList := @Array.toList_pop
|
||||
rw [← appendList_eq_append]; unfold Array.appendList
|
||||
induction l generalizing xs <;> simp [*]
|
||||
|
||||
|
||||
@[deprecated toList_appendList (since := "2024-12-11")]
|
||||
abbrev appendList_toList := @toList_appendList
|
||||
|
||||
end Array
|
||||
|
||||
@@ -8,20 +8,19 @@ module
|
||||
prelude
|
||||
public import Init.Data.Nat.Lemmas
|
||||
public import Init.Data.List.Range
|
||||
public import all Init.Data.List.Control
|
||||
public import Init.Data.List.Nat.TakeDrop
|
||||
public import Init.Data.List.Nat.Modify
|
||||
public import Init.Data.List.Nat.Basic
|
||||
public import Init.Data.List.Monadic
|
||||
public import Init.Data.List.OfFn
|
||||
public import all Init.Data.Array.Bootstrap
|
||||
public import Init.Data.Array.Mem
|
||||
public import Init.Data.Array.DecidableEq
|
||||
public import Init.Data.Array.Lex.Basic
|
||||
public import Init.Data.Range.Lemmas
|
||||
public import Init.TacticsExtra
|
||||
public import Init.Data.List.ToArray
|
||||
import all Init.Data.List.Control
|
||||
import all Init.Data.Array.Basic
|
||||
import all Init.Data.Array.Bootstrap
|
||||
|
||||
public section
|
||||
|
||||
@@ -838,10 +837,16 @@ theorem mem_of_contains_eq_true [BEq α] [LawfulBEq α] {a : α} {as : Array α}
|
||||
cases as
|
||||
simp
|
||||
|
||||
@[deprecated mem_of_contains_eq_true (since := "2024-12-12")]
|
||||
abbrev mem_of_elem_eq_true := @mem_of_contains_eq_true
|
||||
|
||||
theorem contains_eq_true_of_mem [BEq α] [LawfulBEq α] {a : α} {as : Array α} (h : a ∈ as) : as.contains a = true := by
|
||||
cases as
|
||||
simpa using h
|
||||
|
||||
@[deprecated contains_eq_true_of_mem (since := "2024-12-12")]
|
||||
abbrev elem_eq_true_of_mem := @contains_eq_true_of_mem
|
||||
|
||||
@[simp] theorem elem_eq_contains [BEq α] {a : α} {xs : Array α} :
|
||||
elem a xs = xs.contains a := by
|
||||
simp [elem]
|
||||
@@ -899,9 +904,15 @@ theorem all_push {xs : Array α} {a : α} {p : α → Bool} :
|
||||
cases xs
|
||||
simp
|
||||
|
||||
@[deprecated getElem_set_self (since := "2024-12-11")]
|
||||
abbrev getElem_set_eq := @getElem_set_self
|
||||
|
||||
@[simp] theorem getElem?_set_self {xs : Array α} {i : Nat} (h : i < xs.size) {v : α} :
|
||||
(xs.set i v)[i]? = some v := by simp [h]
|
||||
|
||||
@[deprecated getElem?_set_self (since := "2024-12-11")]
|
||||
abbrev getElem?_set_eq := @getElem?_set_self
|
||||
|
||||
@[simp] theorem getElem_set_ne {xs : Array α} {i : Nat} (h' : i < xs.size) {v : α} {j : Nat}
|
||||
(pj : j < xs.size) (h : i ≠ j) :
|
||||
(xs.set i v)[j]'(by simp [*]) = xs[j] := by
|
||||
@@ -992,6 +1003,9 @@ grind_pattern mem_or_eq_of_mem_set => a ∈ xs.set i b
|
||||
theorem setIfInBounds_def (xs : Array α) (i : Nat) (a : α) :
|
||||
xs.setIfInBounds i a = if h : i < xs.size then xs.set i a else xs := rfl
|
||||
|
||||
@[deprecated set!_eq_setIfInBounds (since := "2024-12-12")]
|
||||
abbrev set!_is_setIfInBounds := @set!_eq_setIfInBounds
|
||||
|
||||
@[simp, grind] theorem size_setIfInBounds {xs : Array α} {i : Nat} {a : α} :
|
||||
(xs.setIfInBounds i a).size = xs.size := by
|
||||
if h : i < xs.size then
|
||||
@@ -1013,6 +1027,9 @@ theorem setIfInBounds_def (xs : Array α) (i : Nat) (a : α) :
|
||||
simp at h
|
||||
simp only [setIfInBounds, h, ↓reduceDIte, getElem_set_self]
|
||||
|
||||
@[deprecated getElem_setIfInBounds_self (since := "2024-12-11")]
|
||||
abbrev getElem_setIfInBounds_eq := @getElem_setIfInBounds_self
|
||||
|
||||
@[simp] theorem getElem_setIfInBounds_ne {xs : Array α} {i : Nat} {a : α} {j : Nat}
|
||||
(hj : j < xs.size) (h : i ≠ j) :
|
||||
(xs.setIfInBounds i a)[j]'(by simpa using hj) = xs[j] := by
|
||||
@@ -1032,6 +1049,9 @@ theorem getElem?_setIfInBounds_self_of_lt {xs : Array α} {i : Nat} {a : α} (h
|
||||
(xs.setIfInBounds i a)[i]? = some a := by
|
||||
simp [h]
|
||||
|
||||
@[deprecated getElem?_setIfInBounds_self (since := "2024-12-11")]
|
||||
abbrev getElem?_setIfInBounds_eq := @getElem?_setIfInBounds_self
|
||||
|
||||
@[simp] theorem getElem?_setIfInBounds_ne {xs : Array α} {i j : Nat} (h : i ≠ j) {a : α} :
|
||||
(xs.setIfInBounds i a)[j]? = xs[j]? := by
|
||||
simp [getElem?_setIfInBounds, h]
|
||||
@@ -1357,6 +1377,23 @@ theorem mapM_eq_mapM_toList [Monad m] [LawfulMonad m] {f : α → m β} {xs : Ar
|
||||
toList <$> xs.mapM f = xs.toList.mapM f := by
|
||||
simp [mapM_eq_mapM_toList]
|
||||
|
||||
@[deprecated "Use `mapM_eq_foldlM` instead" (since := "2025-01-08")]
|
||||
theorem mapM_map_eq_foldl {as : Array α} {f : α → β} {i : Nat} :
|
||||
mapM.map (m := Id) (pure <| f ·) as i b = pure (as.foldl (start := i) (fun acc a => acc.push (f a)) b) := by
|
||||
unfold mapM.map
|
||||
split <;> rename_i h
|
||||
· ext : 1
|
||||
dsimp [foldl, foldlM]
|
||||
rw [mapM_map_eq_foldl, dif_pos (by omega), foldlM.loop, dif_pos h]
|
||||
-- Calling `split` here gives a bad goal.
|
||||
have : size as - i = Nat.succ (size as - i - 1) := by omega
|
||||
rw [this]
|
||||
simp [foldl, foldlM, Nat.sub_add_eq]
|
||||
· dsimp [foldl, foldlM]
|
||||
rw [dif_pos (by omega), foldlM.loop, dif_neg h]
|
||||
rfl
|
||||
termination_by as.size - i
|
||||
|
||||
/--
|
||||
Use this as `induction ass using array₂_induction` on a hypothesis of the form `ass : Array (Array α)`.
|
||||
The hypothesis `ass` will be replaced with a hypothesis `ass : List (List α)`,
|
||||
@@ -1639,12 +1676,12 @@ theorem filterMap_eq_map' {f : α → β} (w : stop = as.size) :
|
||||
filterMap (fun x => some (f x)) as 0 stop = map f as :=
|
||||
filterMap_eq_map w
|
||||
|
||||
theorem filterMap_some_fun : filterMap (some : α → Option α) = id := by
|
||||
@[simp] theorem filterMap_some_fun : filterMap (some : α → Option α) = id := by
|
||||
funext xs
|
||||
cases xs
|
||||
simp
|
||||
|
||||
@[simp, grind] theorem filterMap_some {xs : Array α} : filterMap some xs = xs := by
|
||||
@[grind] theorem filterMap_some {xs : Array α} : filterMap some xs = xs := by
|
||||
cases xs
|
||||
simp
|
||||
|
||||
@@ -2962,6 +2999,9 @@ theorem getElem?_extract {xs : Array α} {start stop : Nat} :
|
||||
· rw [size_extract, Nat.min_self, Nat.sub_zero]
|
||||
· intros; rw [getElem_extract]; congr; rw [Nat.zero_add]
|
||||
|
||||
@[deprecated extract_size (since := "2025-01-19")]
|
||||
abbrev extract_all := @extract_size
|
||||
|
||||
theorem extract_empty_of_stop_le_start {xs : Array α} {start stop : Nat} (h : stop ≤ start) :
|
||||
xs.extract start stop = #[] := by
|
||||
simp only [extract, Nat.sub_eq, emptyWithCapacity_eq]
|
||||
@@ -2996,14 +3036,14 @@ theorem take_size {xs : Array α} : xs.take xs.size = xs := by
|
||||
|
||||
/-! ### shrink -/
|
||||
|
||||
@[simp] private theorem size_shrink_loop {xs : Array α} {n : Nat} : (shrink.loop n xs).size = xs.size - n := by
|
||||
@[simp] theorem size_shrink_loop {xs : Array α} {n : Nat} : (shrink.loop n xs).size = xs.size - n := by
|
||||
induction n generalizing xs with
|
||||
| zero => simp [shrink.loop]
|
||||
| succ n ih =>
|
||||
simp [shrink.loop, ih]
|
||||
omega
|
||||
|
||||
@[simp] private theorem getElem_shrink_loop {xs : Array α} {n i : Nat} (h : i < (shrink.loop n xs).size) :
|
||||
@[simp] theorem getElem_shrink_loop {xs : Array α} {n i : Nat} (h : i < (shrink.loop n xs).size) :
|
||||
(shrink.loop n xs)[i] = xs[i]'(by simp at h; omega) := by
|
||||
induction n generalizing xs i with
|
||||
| zero => simp [shrink.loop]
|
||||
@@ -3272,11 +3312,11 @@ theorem foldl_induction
|
||||
let rec go {i j b} (h₁ : j ≤ as.size) (h₂ : as.size ≤ i + j) (H : motive j b) :
|
||||
(motive as.size) (foldlM.loop (m := Id) f as as.size (Nat.le_refl _) i j b) := by
|
||||
unfold foldlM.loop; split
|
||||
next hj =>
|
||||
· next hj =>
|
||||
split
|
||||
· cases Nat.not_le_of_gt (by simp [hj]) h₂
|
||||
· exact go hj (by rwa [Nat.succ_add] at h₂) (hf ⟨j, hj⟩ b H)
|
||||
next hj => exact Nat.le_antisymm h₁ (Nat.ge_of_not_lt hj) ▸ H
|
||||
· next hj => exact Nat.le_antisymm h₁ (Nat.ge_of_not_lt hj) ▸ H
|
||||
simpa [foldl, foldlM] using go (Nat.zero_le _) (Nat.le_refl _) h0
|
||||
|
||||
theorem foldr_induction
|
||||
@@ -3286,13 +3326,13 @@ theorem foldr_induction
|
||||
let rec go {i b} (hi : i ≤ as.size) (H : motive i b) :
|
||||
(motive 0) (foldrM.fold (m := Id) f as 0 i hi b) := by
|
||||
unfold foldrM.fold; simp; split
|
||||
next hi => exact (hi ▸ H)
|
||||
next hi =>
|
||||
· next hi => exact (hi ▸ H)
|
||||
· next hi =>
|
||||
split; {simp at hi}
|
||||
next i hi' =>
|
||||
· next i hi' =>
|
||||
exact go _ (hf ⟨i, hi'⟩ b H)
|
||||
simp [foldr, foldrM]; split; {exact go _ h0}
|
||||
next h => exact (Nat.eq_zero_of_not_pos h ▸ h0)
|
||||
· next h => exact (Nat.eq_zero_of_not_pos h ▸ h0)
|
||||
|
||||
@[congr]
|
||||
theorem foldl_congr {as bs : Array α} (h₀ : as = bs) {f g : β → α → β} (h₁ : f = g)
|
||||
@@ -4279,7 +4319,7 @@ Examples:
|
||||
|
||||
/-! ### Preliminaries about `ofFn` -/
|
||||
|
||||
@[simp] private theorem size_ofFn_go {n} {f : Fin n → α} {i acc h} :
|
||||
@[simp] theorem size_ofFn_go {n} {f : Fin n → α} {i acc h} :
|
||||
(ofFn.go f acc i h).size = acc.size + i := by
|
||||
induction i generalizing acc with
|
||||
| zero => simp [ofFn.go]
|
||||
@@ -4289,7 +4329,7 @@ Examples:
|
||||
@[simp] theorem size_ofFn {n : Nat} {f : Fin n → α} : (ofFn f).size = n := by simp [ofFn]
|
||||
|
||||
-- Recall `ofFn.go f acc i h = acc ++ #[f (n - i), ..., f(n - 1)]`
|
||||
private theorem getElem_ofFn_go {f : Fin n → α} {acc i k} (h : i ≤ n) (w₁ : k < acc.size + i) :
|
||||
theorem getElem_ofFn_go {f : Fin n → α} {acc i k} (h : i ≤ n) (w₁ : k < acc.size + i) :
|
||||
(ofFn.go f acc i h)[k]'(by simpa using w₁) =
|
||||
if w₂ : k < acc.size then acc[k] else f ⟨n - i + k - acc.size, by omega⟩ := by
|
||||
induction i generalizing acc k with
|
||||
@@ -4373,17 +4413,10 @@ theorem getElem?_range {n : Nat} {i : Nat} : (Array.range n)[i]? = if i < n then
|
||||
|
||||
-- Without further algebraic hypotheses, there's no useful `sum_push` lemma.
|
||||
|
||||
@[simp, grind =]
|
||||
theorem sum_eq_sum_toList [Add α] [Zero α] {as : Array α} : as.toList.sum = as.sum := by
|
||||
cases as
|
||||
simp [Array.sum, List.sum]
|
||||
|
||||
@[simp, grind =]
|
||||
theorem sum_append_nat {as₁ as₂ : Array Nat} : (as₁ ++ as₂).sum = as₁.sum + as₂.sum := by
|
||||
cases as₁
|
||||
cases as₂
|
||||
simp [List.sum_append_nat]
|
||||
|
||||
theorem foldl_toList_eq_flatMap {l : List α} {acc : Array β}
|
||||
{F : Array β → α → Array β} {G : α → List β}
|
||||
(H : ∀ acc a, (F acc a).toList = acc.toList ++ G a) :
|
||||
@@ -4694,10 +4727,27 @@ end List
|
||||
/-! ### Deprecations -/
|
||||
namespace Array
|
||||
|
||||
@[deprecated size_toArray (since := "2024-12-11")]
|
||||
theorem size_mk (as : List α) : (Array.mk as).size = as.length := by simp
|
||||
|
||||
@[deprecated getElem?_eq_getElem (since := "2024-12-11")]
|
||||
theorem getElem?_lt
|
||||
(xs : Array α) {i : Nat} (h : i < xs.size) : xs[i]? = some xs[i] := dif_pos h
|
||||
|
||||
@[deprecated getElem?_eq_none (since := "2024-12-11")]
|
||||
theorem getElem?_ge
|
||||
(xs : Array α) {i : Nat} (h : i ≥ xs.size) : xs[i]? = none := dif_neg (Nat.not_lt_of_le h)
|
||||
|
||||
set_option linter.deprecated false in
|
||||
@[deprecated "`get?` is deprecated" (since := "2025-02-12"), simp]
|
||||
theorem get?_eq_getElem? (xs : Array α) (i : Nat) : xs.get? i = xs[i]? := rfl
|
||||
|
||||
@[deprecated getElem?_eq_none (since := "2024-12-11")]
|
||||
theorem getElem?_len_le (xs : Array α) {i : Nat} (h : xs.size ≤ i) : xs[i]? = none := by
|
||||
simp [h]
|
||||
|
||||
@[deprecated getD_getElem? (since := "2024-12-11")] abbrev getD_get? := @getD_getElem?
|
||||
|
||||
@[deprecated getD_eq_getD_getElem? (since := "2025-02-12")] abbrev getD_eq_get? := @getD_eq_getD_getElem?
|
||||
|
||||
set_option linter.deprecated false in
|
||||
@@ -4722,9 +4772,64 @@ theorem get?_eq_get?_toList (xs : Array α) (i : Nat) : xs.get? i = xs.toList.ge
|
||||
set_option linter.deprecated false in
|
||||
@[deprecated get!_eq_getD_getElem? (since := "2025-02-12")] abbrev get!_eq_get? := @get!_eq_getD_getElem?
|
||||
|
||||
@[deprecated getElem_set_self (since := "2025-01-17")]
|
||||
theorem get_set_eq (xs : Array α) (i : Nat) (v : α) (h : i < xs.size) :
|
||||
(xs.set i v h)[i]'(by simp [h]) = v := by
|
||||
simp only [set, ← getElem_toList, List.getElem_set_self]
|
||||
|
||||
@[deprecated Array.getElem_toList (since := "2024-12-08")]
|
||||
theorem getElem_eq_getElem_toList {xs : Array α} (h : i < xs.size) : xs[i] = xs.toList[i] := rfl
|
||||
|
||||
@[deprecated Array.getElem?_toList (since := "2024-12-08")]
|
||||
theorem getElem?_eq_getElem?_toList (xs : Array α) (i : Nat) : xs[i]? = xs.toList[i]? := by
|
||||
rw [getElem?_def]
|
||||
split <;> simp_all
|
||||
|
||||
@[deprecated LawfulGetElem.getElem?_def (since := "2024-12-08")]
|
||||
theorem getElem?_eq {xs : Array α} {i : Nat} :
|
||||
xs[i]? = if h : i < xs.size then some xs[i] else none := by
|
||||
rw [getElem?_def]
|
||||
|
||||
/-! ### map -/
|
||||
|
||||
@[deprecated "Use `toList_map` or `List.map_toArray` to characterize `Array.map`." (since := "2025-01-06")]
|
||||
theorem map_induction (xs : Array α) (f : α → β) (motive : Nat → Prop) (h0 : motive 0)
|
||||
(p : Fin xs.size → β → Prop) (hs : ∀ i, motive i.1 → p i (f xs[i]) ∧ motive (i+1)) :
|
||||
motive xs.size ∧
|
||||
∃ eq : (xs.map f).size = xs.size, ∀ i h, p ⟨i, h⟩ ((xs.map f)[i]) := by
|
||||
have t := foldl_induction (as := xs) (β := Array β)
|
||||
(motive := fun i xs => motive i ∧ xs.size = i ∧ ∀ i h2, p i xs[i.1])
|
||||
(init := #[]) (f := fun acc a => acc.push (f a)) ?_ ?_
|
||||
obtain ⟨m, eq, w⟩ := t
|
||||
· refine ⟨m, by simp, ?_⟩
|
||||
intro i h
|
||||
simp only [eq] at w
|
||||
specialize w ⟨i, h⟩ h
|
||||
simpa using w
|
||||
· exact ⟨h0, rfl, nofun⟩
|
||||
· intro i bs ⟨m, ⟨eq, w⟩⟩
|
||||
refine ⟨?_, ?_, ?_⟩
|
||||
· exact (hs _ m).2
|
||||
· simp_all
|
||||
· intro j h
|
||||
simp at h ⊢
|
||||
by_cases h' : j < size bs
|
||||
· rw [getElem_push]
|
||||
simp_all
|
||||
· rw [getElem_push, dif_neg h']
|
||||
simp only [show j = i by omega]
|
||||
exact (hs _ m).1
|
||||
|
||||
set_option linter.deprecated false in
|
||||
@[deprecated "Use `toList_map` or `List.map_toArray` to characterize `Array.map`." (since := "2025-01-06")]
|
||||
theorem map_spec (xs : Array α) (f : α → β) (p : Fin xs.size → β → Prop)
|
||||
(hs : ∀ i, p i (f xs[i])) :
|
||||
∃ eq : (xs.map f).size = xs.size, ∀ i h, p ⟨i, h⟩ ((xs.map f)[i]) := by
|
||||
simpa using map_induction xs f (fun _ => True) trivial p (by simp_all)
|
||||
|
||||
/-! ### set -/
|
||||
|
||||
@[deprecated getElem?_set_self (since := "2025-02-27")] abbrev get?_set_eq := @getElem?_set_self
|
||||
@[deprecated getElem?_set_eq (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
|
||||
|
||||
@@ -60,7 +60,7 @@ theorem mapFinIdx_spec {xs : Array α} {f : (i : Nat) → α → (h : i < xs.siz
|
||||
@[simp, grind =] theorem size_zipIdx {xs : Array α} {k : Nat} : (xs.zipIdx k).size = xs.size :=
|
||||
Array.size_mapFinIdx
|
||||
|
||||
|
||||
@[deprecated size_zipIdx (since := "2025-01-21")] abbrev size_zipWithIndex := @size_zipIdx
|
||||
|
||||
@[simp, grind =] theorem getElem_mapFinIdx {xs : Array α} {f : (i : Nat) → α → (h : i < xs.size) → β} {i : Nat}
|
||||
(h : i < (xs.mapFinIdx f).size) :
|
||||
@@ -132,20 +132,23 @@ namespace Array
|
||||
(xs.zipIdx k)[i] = (xs[i]'(by simp_all), k + i) := by
|
||||
simp [zipIdx]
|
||||
|
||||
|
||||
@[deprecated getElem_zipIdx (since := "2025-01-21")]
|
||||
abbrev getElem_zipWithIndex := @getElem_zipIdx
|
||||
|
||||
@[simp, grind =] theorem zipIdx_toArray {l : List α} {k : Nat} :
|
||||
l.toArray.zipIdx k = (l.zipIdx k).toArray := by
|
||||
ext i hi₁ hi₂ <;> simp
|
||||
|
||||
|
||||
@[deprecated zipIdx_toArray (since := "2025-01-21")]
|
||||
abbrev zipWithIndex_toArray := @zipIdx_toArray
|
||||
|
||||
@[simp, grind =] theorem toList_zipIdx {xs : Array α} {k : Nat} :
|
||||
(xs.zipIdx k).toList = xs.toList.zipIdx k := by
|
||||
rcases xs with ⟨xs⟩
|
||||
simp
|
||||
|
||||
|
||||
@[deprecated toList_zipIdx (since := "2025-01-21")]
|
||||
abbrev toList_zipWithIndex := @toList_zipIdx
|
||||
|
||||
theorem mk_mem_zipIdx_iff_le_and_getElem?_sub {k i : Nat} {x : α} {xs : Array α} :
|
||||
(x, i) ∈ xs.zipIdx k ↔ k ≤ i ∧ xs[i - k]? = some x := by
|
||||
@@ -170,7 +173,11 @@ theorem mem_zipIdx_iff_getElem? {x : α × Nat} {xs : Array α} :
|
||||
x ∈ xs.zipIdx ↔ xs[x.2]? = some x.1 := by
|
||||
rw [mk_mem_zipIdx_iff_getElem?]
|
||||
|
||||
@[deprecated mk_mem_zipIdx_iff_getElem? (since := "2025-01-21")]
|
||||
abbrev mk_mem_zipWithIndex_iff_getElem? := @mk_mem_zipIdx_iff_getElem?
|
||||
|
||||
@[deprecated mem_zipIdx_iff_getElem? (since := "2025-01-21")]
|
||||
abbrev mem_zipWithIndex_iff_getElem? := @mem_zipIdx_iff_getElem?
|
||||
|
||||
/-! ### mapFinIdx -/
|
||||
|
||||
@@ -215,7 +222,8 @@ theorem mapFinIdx_eq_zipIdx_map {xs : Array α} {f : (i : Nat) → α → (h : i
|
||||
f i x (by simp [mk_mem_zipIdx_iff_getElem?, getElem?_eq_some_iff] at m; exact m.1) := by
|
||||
ext <;> simp
|
||||
|
||||
|
||||
@[deprecated mapFinIdx_eq_zipIdx_map (since := "2025-01-21")]
|
||||
abbrev mapFinIdx_eq_zipWithIndex_map := @mapFinIdx_eq_zipIdx_map
|
||||
|
||||
@[simp]
|
||||
theorem mapFinIdx_eq_empty_iff {xs : Array α} {f : (i : Nat) → α → (h : i < xs.size) → β} :
|
||||
@@ -324,7 +332,8 @@ theorem mapIdx_eq_zipIdx_map {xs : Array α} {f : Nat → α → β} :
|
||||
xs.mapIdx f = xs.zipIdx.map fun ⟨a, i⟩ => f i a := by
|
||||
ext <;> simp
|
||||
|
||||
|
||||
@[deprecated mapIdx_eq_zipIdx_map (since := "2025-01-21")]
|
||||
abbrev mapIdx_eq_zipWithIndex_map := @mapIdx_eq_zipIdx_map
|
||||
|
||||
@[grind =]
|
||||
theorem mapIdx_append {xs ys : Array α} :
|
||||
|
||||
@@ -18,11 +18,11 @@ set_option linter.indexVariables true -- Enforce naming conventions for index va
|
||||
namespace Array
|
||||
|
||||
theorem sizeOf_lt_of_mem [SizeOf α] {as : Array α} (h : a ∈ as) : sizeOf a < sizeOf as := by
|
||||
cases as with | _ as
|
||||
cases as with | _ as =>
|
||||
exact Nat.lt_trans (List.sizeOf_lt_of_mem h.val) (by simp +arith)
|
||||
|
||||
theorem sizeOf_get [SizeOf α] (as : Array α) (i : Nat) (h : i < as.size) : sizeOf as[i] < sizeOf as := by
|
||||
cases as with | _ as
|
||||
cases as with | _ as =>
|
||||
simpa using Nat.lt_trans (List.sizeOf_get _ ⟨i, h⟩) (by simp +arith)
|
||||
|
||||
@[simp] theorem sizeOf_getElem [SizeOf α] (as : Array α) (i : Nat) (h : i < as.size) :
|
||||
|
||||
@@ -161,8 +161,7 @@ instance : Inhabited (Subarray α) :=
|
||||
⟨{}⟩
|
||||
|
||||
/-!
|
||||
`ForIn`, `foldlM`, `foldl` and other operations are implemented in `Init.Data.Slice.Array.Iterator`
|
||||
using the slice iterator.
|
||||
`ForIn` and `foldlM` are implemented in `Init.Data.Slice.Array.Iterator` using the slice iterator.
|
||||
-/
|
||||
|
||||
/--
|
||||
@@ -267,8 +266,8 @@ An accumulator of type `β` is constructed by starting with `init` and combining
|
||||
subarray with the current accumulator value in turn, moving from the end to the start.
|
||||
|
||||
Examples:
|
||||
* `#["red", "green", "blue"].toSubarray.foldr (·.length + ·) 0 = 12`
|
||||
* `#["red", "green", "blue"].toSubarray.popFront.foldr (·.length + ·) 0 = 9`
|
||||
* `#eval #["red", "green", "blue"].toSubarray.foldr (·.length + ·) 0 = 12`
|
||||
* `#["red", "green", "blue"].toSubarray.popFront.foldlr (·.length + ·) 0 = 9`
|
||||
-/
|
||||
@[inline]
|
||||
def foldr {α : Type u} {β : Type v} (f : α → β → β) (init : β) (as : Subarray α) : β :=
|
||||
|
||||
@@ -118,7 +118,7 @@ theorem zipWith_foldl_eq_zip_foldl {f : α → β → γ} {i : δ} :
|
||||
theorem zipWith_eq_empty_iff {f : α → β → γ} {as : Array α} {bs : Array β} : zipWith f as bs = #[] ↔ as = #[] ∨ bs = #[] := by
|
||||
cases as <;> cases bs <;> simp
|
||||
|
||||
@[simp, grind =]
|
||||
@[grind =]
|
||||
theorem map_zipWith {δ : Type _} {f : α → β} {g : γ → δ → α} {cs : Array γ} {ds : Array δ} :
|
||||
map f (zipWith g cs ds) = zipWith (fun x y => f (g x y)) cs ds := by
|
||||
cases cs
|
||||
@@ -354,15 +354,6 @@ theorem map_zipWithAll {δ : Type _} {f : α → β} {g : Option γ → Option
|
||||
@[deprecated zipWithAll_replicate (since := "2025-03-18")]
|
||||
abbrev zipWithAll_mkArray := @zipWithAll_replicate
|
||||
|
||||
/-! ### zipWithM -/
|
||||
|
||||
@[simp, grind =]
|
||||
theorem zipWithM_eq_mapM_id_zipWith {m : Type v → Type w} [Monad m] [LawfulMonad m] {f : α → β → m γ} {as : Array α} {bs : Array β} :
|
||||
zipWithM f as bs = mapM id (zipWith f as bs) := by
|
||||
cases as
|
||||
cases bs
|
||||
simp [List.zipWithM_toArray, ← List.zipWithM'_eq_zipWithM]
|
||||
|
||||
/-! ### unzip -/
|
||||
|
||||
@[deprecated fst_unzip (since := "2025-05-26")]
|
||||
|
||||
@@ -12,7 +12,7 @@ public import Init.Data.Nat.Power2
|
||||
public import Init.Data.Int.Bitwise
|
||||
public import Init.Data.BitVec.BasicAux
|
||||
|
||||
@[expose] public section
|
||||
public section
|
||||
|
||||
/-!
|
||||
We define the basic algebraic structure of bitvectors. We choose the `Fin` representation over
|
||||
@@ -552,7 +552,7 @@ Example:
|
||||
@[expose]
|
||||
protected def xor (x y : BitVec n) : BitVec n :=
|
||||
(x.toNat ^^^ y.toNat)#'(Nat.xor_lt_two_pow x.isLt y.isLt)
|
||||
instance : XorOp (BitVec w) := ⟨.xor⟩
|
||||
instance : Xor (BitVec w) := ⟨.xor⟩
|
||||
|
||||
/--
|
||||
Bitwise complement for bitvectors. Usually accessed via the `~~~` prefix operator.
|
||||
@@ -736,10 +736,10 @@ def twoPow (w : Nat) (i : Nat) : BitVec w := 1#w <<< i
|
||||
end bitwise
|
||||
|
||||
/-- The bitvector of width `w` that has the smallest value when interpreted as an integer. -/
|
||||
@[expose] def intMin (w : Nat) := twoPow w (w - 1)
|
||||
def intMin (w : Nat) := twoPow w (w - 1)
|
||||
|
||||
/-- The bitvector of width `w` that has the largest value when interpreted as an integer. -/
|
||||
@[expose] def intMax (w : Nat) := (twoPow w (w - 1)) - 1
|
||||
def intMax (w : Nat) := (twoPow w (w - 1)) - 1
|
||||
|
||||
/--
|
||||
Computes a hash of a bitvector, combining 64-bit words using `mixHash`.
|
||||
|
||||
@@ -15,7 +15,7 @@ public import Init.Data.BitVec.Decidable
|
||||
public import Init.Data.BitVec.Lemmas
|
||||
public import Init.Data.BitVec.Folds
|
||||
|
||||
@[expose] public section
|
||||
public section
|
||||
|
||||
/-!
|
||||
# Bit blasting of bitvectors
|
||||
@@ -336,7 +336,7 @@ theorem add_eq_or_of_and_eq_zero {w : Nat} (x y : BitVec w)
|
||||
(h : x &&& y = 0#w) : x + y = x ||| y := by
|
||||
rw [add_eq_adc, adc, iunfoldr_replace (fun _ => false) (x ||| y)]
|
||||
· rfl
|
||||
· simp only [adcb, atLeastTwo, Bool.and_false, Bool.or_false, bne_false,
|
||||
· simp only [adcb, atLeastTwo, Bool.and_false, Bool.or_false, bne_false,
|
||||
Prod.mk.injEq, and_eq_false_imp]
|
||||
intros i
|
||||
replace h : (x &&& y).getLsbD i = (0#w).getLsbD i := by rw [h]
|
||||
@@ -586,6 +586,7 @@ A recurrence that describes multiplication as repeated addition.
|
||||
|
||||
This function is useful for bit blasting multiplication.
|
||||
-/
|
||||
@[expose]
|
||||
def mulRec (x y : BitVec w) (s : Nat) : BitVec w :=
|
||||
let cur := if y.getLsbD s then (x <<< s) else 0
|
||||
match s with
|
||||
@@ -621,7 +622,7 @@ theorem setWidth_setWidth_succ_eq_setWidth_setWidth_add_twoPow (x : BitVec w) (i
|
||||
simp [hik', hik'']
|
||||
omega
|
||||
· ext k
|
||||
simp only [and_twoPow,
|
||||
simp only [and_twoPow,
|
||||
]
|
||||
by_cases hi : x.getLsbD i <;> simp [hi] <;> omega
|
||||
|
||||
@@ -1046,6 +1047,7 @@ theorem lawful_divSubtractShift (qr : DivModState w) (h : qr.Poised args) :
|
||||
/-! ### Core division algorithm circuit -/
|
||||
|
||||
/-- A recursive definition of division for bit blasting, in terms of a shift-subtraction circuit. -/
|
||||
@[expose]
|
||||
def divRec {w : Nat} (m : Nat) (args : DivModArgs w) (qr : DivModState w) :
|
||||
DivModState w :=
|
||||
match m with
|
||||
@@ -1942,7 +1944,7 @@ The remainder for `srem`, i.e. division with rounding to zero is negative
|
||||
iff `x` is negative and `y` does not divide `x`.
|
||||
|
||||
We can eventually build fast circuits for the divisibility test `x.srem y = 0`.
|
||||
-/
|
||||
-/
|
||||
theorem msb_srem {x y : BitVec w} : (x.srem y).msb =
|
||||
(x.msb && decide (x.srem y ≠ 0)) := by
|
||||
rw [msb_eq_toInt]
|
||||
|
||||
@@ -702,7 +702,7 @@ theorem eq_zero_or_eq_one (a : BitVec 1) : a = 0#1 ∨ a = 1#1 := by
|
||||
have acases : a = 0 ∨ a = 1 := by omega
|
||||
rcases acases with ⟨rfl | rfl⟩
|
||||
· simp
|
||||
case inr h =>
|
||||
· case inr h =>
|
||||
subst h
|
||||
simp
|
||||
|
||||
@@ -1393,7 +1393,7 @@ theorem or_eq_zero_iff {x y : BitVec w} : (x ||| y) = 0#w ↔ x = 0#w ∧ y = 0#
|
||||
· intro h
|
||||
constructor
|
||||
all_goals
|
||||
ext i ih
|
||||
· ext i ih
|
||||
have := BitVec.eq_of_getElem_eq_iff.mp h i ih
|
||||
simp only [getElem_or, getElem_zero, Bool.or_eq_false_iff] at this
|
||||
simp [this]
|
||||
@@ -1493,7 +1493,7 @@ theorem and_eq_allOnes_iff {x y : BitVec w} :
|
||||
· intro h
|
||||
constructor
|
||||
all_goals
|
||||
ext i ih
|
||||
· ext i ih
|
||||
have := BitVec.eq_of_getElem_eq_iff.mp h i ih
|
||||
simp only [getElem_and, getElem_allOnes, Bool.and_eq_true] at this
|
||||
simp [this]
|
||||
@@ -3006,7 +3006,7 @@ which performs a case analysis on the start index, length, and the lengths of `x
|
||||
· If the start index is entirely contained in the `xlo` bitvector, then grab the bits from `xlo`.
|
||||
· If the start index is split between the two bitvectors,
|
||||
then append `(w - start)` bits from `xlo` with `(len - (w - start))` bits from xhi.
|
||||
Diagrammatically:
|
||||
Diagramatically:
|
||||
```
|
||||
xhi xlo
|
||||
(<---------------------](<-------w--------]
|
||||
@@ -4419,8 +4419,8 @@ theorem neg_one_ediv_toInt_eq {w : Nat} {y : BitVec w} :
|
||||
rcases w with _|_|w
|
||||
· simp [of_length_zero]
|
||||
· cases eq_zero_or_eq_one y
|
||||
case _ h => simp [h]
|
||||
case _ h => simp [h]
|
||||
· case _ h => simp [h]
|
||||
· case _ h => simp [h]
|
||||
· by_cases 0 < y.toInt
|
||||
· simp [Int.sign_eq_one_of_pos (a := y.toInt) (by omega), Int.neg_one_ediv]
|
||||
omega
|
||||
@@ -5138,7 +5138,7 @@ theorem setWidth_setWidth_succ_eq_setWidth_setWidth_of_getLsbD_false
|
||||
|
||||
/--
|
||||
When the `(i+1)`th bit of `x` is true,
|
||||
keeping the lower `(i + 1)` bits of `x` equals keeping the lower `i` bits
|
||||
keeping the lower `(i + 1)` bits of `x` equalsk eeping the lower `i` bits
|
||||
and then performing bitwise-or with `twoPow i = (1 << i)`,
|
||||
-/
|
||||
theorem setWidth_setWidth_succ_eq_setWidth_setWidth_or_twoPow_of_getLsbD_true
|
||||
@@ -5766,16 +5766,16 @@ theorem clzAuxRec_eq_clzAuxRec_of_le (x : BitVec w) (h : w - 1 ≤ n) :
|
||||
let k := n - (w - 1)
|
||||
rw [show n = (w - 1) + k by omega]
|
||||
induction k
|
||||
case zero => simp
|
||||
case succ k ihk =>
|
||||
· case zero => simp
|
||||
· case succ k ihk =>
|
||||
simp [show w - 1 + (k + 1) = (w - 1 + k) + 1 by omega, clzAuxRec_succ, ihk,
|
||||
show x.getLsbD (w - 1 + k + 1) = false by simp only [show w ≤ w - 1 + k + 1 by omega, getLsbD_of_ge]]
|
||||
|
||||
theorem clzAuxRec_eq_clzAuxRec_of_getLsbD_false {x : BitVec w} (h : ∀ i, n < i → x.getLsbD i = false) :
|
||||
x.clzAuxRec n = x.clzAuxRec (n + k) := by
|
||||
induction k
|
||||
case zero => simp
|
||||
case succ k ihk =>
|
||||
· case zero => simp
|
||||
· case succ k ihk =>
|
||||
simp only [show n + (k + 1) = (n + k) + 1 by omega, clzAuxRec_succ]
|
||||
by_cases hxn : x.getLsbD (n + k + 1)
|
||||
· have : ¬ ∀ (i : Nat), n < i → x.getLsbD i = false := by
|
||||
@@ -5842,8 +5842,13 @@ set_option linter.missingDocs false
|
||||
@[deprecated toFin_uShiftRight (since := "2025-02-18")]
|
||||
abbrev toFin_uShiftRight := @toFin_ushiftRight
|
||||
|
||||
@[deprecated signExtend_eq_setWidth_of_msb_false (since := "2024-12-08")]
|
||||
abbrev signExtend_eq_not_setWidth_not_of_msb_false := @signExtend_eq_setWidth_of_msb_false
|
||||
|
||||
@[deprecated replicate_zero (since := "2025-01-08")]
|
||||
abbrev replicate_zero_eq := @replicate_zero
|
||||
|
||||
|
||||
@[deprecated replicate_succ (since := "2025-01-08")]
|
||||
abbrev replicate_succ_eq := @replicate_succ
|
||||
|
||||
end BitVec
|
||||
|
||||
@@ -696,23 +696,3 @@ but may be used locally.
|
||||
|
||||
@[simp] theorem Subtype.beq_iff {α : Type u} [BEq α] {p : α → Prop} {x y : {a : α // p a}} :
|
||||
(x == y) = (x.1 == y.1) := rfl
|
||||
|
||||
/-! ### Proof by reflection support -/
|
||||
|
||||
@[expose] protected noncomputable def Bool.and' (a b : Bool) : Bool :=
|
||||
Bool.rec false b a
|
||||
|
||||
@[expose] protected noncomputable def Bool.or' (a b : Bool) : Bool :=
|
||||
Bool.rec b true a
|
||||
|
||||
@[expose] protected noncomputable def Bool.not' (a : Bool) : Bool :=
|
||||
Bool.rec true false a
|
||||
|
||||
@[simp] theorem Bool.and'_eq_and (a b : Bool) : a.and' b = a.and b := by
|
||||
cases a <;> simp [Bool.and']
|
||||
|
||||
@[simp] theorem Bool.or'_eq_or (a b : Bool) : a.or' b = a.or b := by
|
||||
cases a <;> simp [Bool.or']
|
||||
|
||||
@[simp] theorem Bool.not'_eq_not (a : Bool) : a.not' = a.not := by
|
||||
cases a <;> simp [Bool.not']
|
||||
|
||||
@@ -1,3 +1,4 @@
|
||||
|
||||
/-
|
||||
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
|
||||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
|
||||
@@ -12,7 +12,7 @@ public import Init.Data.UInt.Basic
|
||||
public import all Init.Data.UInt.BasicAux
|
||||
public import Init.Data.Option.Basic
|
||||
|
||||
@[expose] public section
|
||||
public section
|
||||
universe u
|
||||
|
||||
structure ByteArray where
|
||||
@@ -23,10 +23,18 @@ attribute [extern "lean_byte_array_data"] ByteArray.data
|
||||
|
||||
namespace ByteArray
|
||||
|
||||
deriving instance BEq for ByteArray
|
||||
|
||||
attribute [ext] ByteArray
|
||||
|
||||
/--
|
||||
Checks whether two `ByteArray` instances have the same length and identical content. Normally used
|
||||
via the `==` operator.
|
||||
-/
|
||||
@[extern "lean_byte_array_beq"]
|
||||
protected def beq (a b : @& ByteArray) : Bool :=
|
||||
BEq.beq a.data b.data
|
||||
|
||||
instance : BEq ByteArray := ⟨ByteArray.beq⟩
|
||||
|
||||
instance : DecidableEq ByteArray :=
|
||||
fun _ _ => decidable_of_decidable_of_iff ByteArray.ext_iff.symm
|
||||
|
||||
|
||||
257
src/Init/Data/ByteSlice.lean
Normal file
257
src/Init/Data/ByteSlice.lean
Normal file
@@ -0,0 +1,257 @@
|
||||
/-
|
||||
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
|
||||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Author: Leonardo de Moura
|
||||
-/
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Array.Basic
|
||||
public import Init.Data.Array.DecidableEq
|
||||
public import Init.Data.UInt.Basic
|
||||
public import all Init.Data.UInt.BasicAux
|
||||
public import Init.Data.Option.Basic
|
||||
public import Init.Data.ByteArray
|
||||
public import Init.Data.Iterators.Basic
|
||||
public import Init.Data.Slice.Basic
|
||||
|
||||
public section
|
||||
|
||||
/--
|
||||
A slice of bytes.
|
||||
-/
|
||||
structure ByteSlice where
|
||||
data : ByteArray
|
||||
start : Nat
|
||||
«end» : Nat
|
||||
valid : start ≤ «end» ∧ «end» ≤ data.size
|
||||
|
||||
namespace ByteSlice
|
||||
|
||||
/--
|
||||
Creates a new `ByteSlice` from a `ByteArray.Iterator`.
|
||||
-/
|
||||
@[inline]
|
||||
def ofIterator (data : ByteArray.Iterator) (size : Nat) (h : data.pos + size ≤ data.array.size) : ByteSlice :=
|
||||
{ data := data.array, start := data.pos, «end» := data.pos + size, valid := And.intro (by simp) h }
|
||||
|
||||
/--
|
||||
Creates a new `ByteSlice` from a `ByteArray`.
|
||||
-/
|
||||
@[inline]
|
||||
def ofByteArray (data : ByteArray) : ByteSlice :=
|
||||
{ data, start := 0, «end» := data.size, valid := by simp }
|
||||
|
||||
/--
|
||||
Creates an empty `ByteSlice`.
|
||||
-/
|
||||
@[inline]
|
||||
def empty : ByteSlice :=
|
||||
{ data := ByteArray.empty, start := 0, «end» := 0, valid := by simp }
|
||||
|
||||
/--
|
||||
Gets the size of the slice.
|
||||
-/
|
||||
@[inline]
|
||||
def size (slice : ByteSlice) : Nat :=
|
||||
slice.«end» - slice.start
|
||||
|
||||
/--
|
||||
Checks if the slice is empty.
|
||||
-/
|
||||
@[inline]
|
||||
def isEmpty (slice : ByteSlice) : Bool :=
|
||||
slice.size = 0
|
||||
|
||||
/--
|
||||
Gets a byte at the given index within the slice.
|
||||
Returns `none` if the index is out of bounds.
|
||||
-/
|
||||
@[inline]
|
||||
def get (slice : ByteSlice) (i : Nat) (h : i < slice.size := by get_elem_tactic) : UInt8 :=
|
||||
have h_bounds : slice.start + i < slice.data.size := by
|
||||
simp [size] at h
|
||||
have h1 := slice.valid.left
|
||||
have h2 := slice.valid.right
|
||||
have h3 : slice.start + i < slice.«end» := by
|
||||
rw [← Nat.add_sub_cancel' h1]
|
||||
exact Nat.add_lt_add_left h slice.start
|
||||
exact Nat.lt_of_lt_of_le h3 h2
|
||||
|
||||
slice.data.get (slice.start + i) h_bounds
|
||||
|
||||
/--
|
||||
Gets a byte at the given index within the slice.
|
||||
Panics if the index is out of bounds.
|
||||
-/
|
||||
def get! (slice : ByteSlice) (i : Nat) : UInt8 :=
|
||||
if h :i < slice.size then
|
||||
slice.get i
|
||||
else
|
||||
panic! "ByteSlice index out of bounds"
|
||||
|
||||
/--
|
||||
Gets a byte at the given index within the slice.
|
||||
Panics if the index is out of bounds.
|
||||
-/
|
||||
def get? (slice : ByteSlice) (i : Nat) : Option UInt8 :=
|
||||
if h : i < slice.size then
|
||||
some (slice.get i)
|
||||
else
|
||||
none
|
||||
|
||||
/--
|
||||
Gets a byte at the given index within the slice.
|
||||
Panics if the index is out of bounds.
|
||||
-/
|
||||
@[inline]
|
||||
def getD (slice : ByteSlice) (i : Nat) (default : UInt8) : UInt8 :=
|
||||
slice.get? i |>.getD default
|
||||
|
||||
/--
|
||||
Gets the first byte of the slice.
|
||||
Returns `none` if the slice is empty.
|
||||
-/
|
||||
@[inline]
|
||||
def first? (slice : ByteSlice) : Option UInt8 :=
|
||||
slice.get? 0
|
||||
|
||||
/--
|
||||
Gets the first byte of the slice.
|
||||
Returns `none` if the slice is empty.
|
||||
-/
|
||||
@[inline]
|
||||
def nextSlice? (slice : ByteSlice) : Option ByteSlice :=
|
||||
if h : slice.end + 1 ≤ slice.data.size then
|
||||
some { slice with «end» := slice.end + 1, valid := And.intro (Nat.le_trans slice.valid.left (by simp)) h }
|
||||
else
|
||||
none
|
||||
|
||||
/--
|
||||
Gets the last byte of the slice.
|
||||
Returns `none` if the slice is empty.
|
||||
-/
|
||||
@[inline]
|
||||
def last? (slice : ByteSlice) : Option UInt8 :=
|
||||
if slice.isEmpty then none else slice.get? (slice.size - 1)
|
||||
|
||||
/--
|
||||
Creates a sub-slice from the given start index to the end.
|
||||
Returns `none` if the start index is out of bounds.
|
||||
-/
|
||||
@[inline]
|
||||
def drop (slice : ByteSlice) (n : Nat) : ByteSlice :=
|
||||
if h : n <= slice.size then
|
||||
let valid := by
|
||||
simp [size] at h;
|
||||
simp [slice.valid]
|
||||
have h := Nat.add_le_add_left (n := n) h slice.start
|
||||
rw [Nat.add_sub_cancel' slice.valid.left] at h
|
||||
exact h
|
||||
{ slice with start := slice.start + n, valid }
|
||||
else
|
||||
{ slice with start := slice.end, valid := by simp [slice.valid] }
|
||||
|
||||
/--
|
||||
Creates a sub-slice with the first `n` elements.
|
||||
Returns `none` if `n` is greater than the slice size.
|
||||
-/
|
||||
@[inline]
|
||||
def take (slice : ByteSlice) (n : Nat) : ByteSlice :=
|
||||
if h : n <= slice.size then
|
||||
let newEnd := slice.start + n
|
||||
let valid := by
|
||||
constructor
|
||||
· simp [newEnd]
|
||||
· simp [newEnd]
|
||||
simp [size] at h
|
||||
have h3 : slice.start + n ≤ slice.start + (slice.«end» - slice.start) :=
|
||||
Nat.add_le_add_left h slice.start
|
||||
rw [Nat.add_sub_cancel' slice.valid.left] at h3
|
||||
exact Nat.le_trans h3 slice.valid.right
|
||||
{ slice with «end» := newEnd, valid }
|
||||
else
|
||||
slice
|
||||
|
||||
/--
|
||||
Creates a sub-slice from start index to end index (exclusive).
|
||||
Returns the slice unchanged if indices are out of bounds.
|
||||
-/
|
||||
@[inline]
|
||||
def slice (slice : ByteSlice) (start : Nat) (endIdx : Nat) : ByteSlice :=
|
||||
if h1 : start <= endIdx ∧ endIdx <= slice.size then
|
||||
let newStart := slice.start + start
|
||||
let newEnd := slice.start + endIdx
|
||||
|
||||
let valid := by
|
||||
constructor
|
||||
· simp [newStart, newEnd]
|
||||
exact h1.left
|
||||
· simp [newEnd]
|
||||
simp [size] at h1
|
||||
have h4 : slice.start + endIdx ≤ slice.start + (slice.«end» - slice.start) :=
|
||||
Nat.add_le_add_left h1.right slice.start
|
||||
rw [Nat.add_sub_cancel' slice.valid.left] at h4
|
||||
exact Nat.le_trans h4 slice.valid.right
|
||||
{ data := slice.data, start := newStart, «end» := newEnd, valid }
|
||||
else
|
||||
slice
|
||||
|
||||
/--
|
||||
Finds the first occurrence of a byte in the slice.
|
||||
Returns the index relative to the slice start, or `none` if not found.
|
||||
-/
|
||||
def indexOf? (slice : ByteSlice) (byte : UInt8) : Option Nat :=
|
||||
let rec loop (i : Nat) : Option Nat :=
|
||||
if h : i < slice.size then
|
||||
if slice.get i h = byte then
|
||||
some i
|
||||
else
|
||||
loop (i + 1)
|
||||
else
|
||||
none
|
||||
loop 0
|
||||
|
||||
/--
|
||||
Checks if the slice starts with another slice.
|
||||
-/
|
||||
def startsWith (slice : ByteSlice) (pref : ByteSlice) : Bool :=
|
||||
if pref.size > slice.size then
|
||||
false
|
||||
else
|
||||
let rec loop (i : Nat) : Bool :=
|
||||
if h : i < pref.size then
|
||||
if h2 : i < slice.size then
|
||||
if slice.get i = pref.get i then
|
||||
loop (i + 1)
|
||||
else
|
||||
false
|
||||
else
|
||||
false
|
||||
else
|
||||
true
|
||||
loop 0
|
||||
|
||||
/---
|
||||
Checks if the slice contains a specific byte.
|
||||
-/
|
||||
@[inline]
|
||||
def contains (slice : ByteSlice) (byte : UInt8) : Bool :=
|
||||
slice.indexOf? byte |>.isSome
|
||||
|
||||
/--
|
||||
Converts the slice to a ByteArray by copying.
|
||||
-/
|
||||
@[inline]
|
||||
def toByteArray (slice : ByteSlice) : ByteArray :=
|
||||
slice.data.extract slice.start slice.end
|
||||
|
||||
@[extern "lean_byteslice_beq"]
|
||||
protected def beq (a b : ByteSlice) : Bool :=
|
||||
BEq.beq a.toByteArray b.toByteArray
|
||||
|
||||
instance : BEq ByteSlice where
|
||||
beq := ByteSlice.beq
|
||||
|
||||
instance : GetElem ByteSlice Nat UInt8 (fun slice i => i < slice.size) where
|
||||
getElem := fun slice i h => slice.get i h
|
||||
@@ -8,7 +8,7 @@ module
|
||||
prelude
|
||||
public import Init.Data.UInt.BasicAux
|
||||
|
||||
@[expose] public section
|
||||
public section
|
||||
|
||||
/-- Determines if the given integer is a valid [Unicode scalar value](https://www.unicode.org/glossary/#unicode_scalar_value).
|
||||
|
||||
|
||||
@@ -221,7 +221,7 @@ instance : AndOp (Fin n) where
|
||||
and := Fin.land
|
||||
instance : OrOp (Fin n) where
|
||||
or := Fin.lor
|
||||
instance : XorOp (Fin n) where
|
||||
instance : Xor (Fin n) where
|
||||
xor := Fin.xor
|
||||
instance : ShiftLeft (Fin n) where
|
||||
shiftLeft := Fin.shiftLeft
|
||||
|
||||
@@ -107,14 +107,14 @@ Fin.foldrM n f xₙ = do
|
||||
subst w
|
||||
rfl
|
||||
|
||||
private theorem foldlM_loop_lt [Monad m] (f : α → Fin n → m α) (x) (h : i < n) :
|
||||
theorem foldlM_loop_lt [Monad m] (f : α → Fin n → m α) (x) (h : i < n) :
|
||||
foldlM.loop n f x i = f x ⟨i, h⟩ >>= (foldlM.loop n f . (i+1)) := by
|
||||
rw [foldlM.loop, dif_pos h]
|
||||
|
||||
private theorem foldlM_loop_eq [Monad m] (f : α → Fin n → m α) (x) : foldlM.loop n f x n = pure x := by
|
||||
theorem foldlM_loop_eq [Monad m] (f : α → Fin n → m α) (x) : foldlM.loop n f x n = pure x := by
|
||||
rw [foldlM.loop, dif_neg (Nat.lt_irrefl _)]
|
||||
|
||||
private theorem foldlM_loop [Monad m] (f : α → Fin (n+1) → m α) (x) (h : i < n+1) :
|
||||
theorem foldlM_loop [Monad m] (f : α → Fin (n+1) → m α) (x) (h : i < n+1) :
|
||||
foldlM.loop (n+1) f x i = f x ⟨i, h⟩ >>= (foldlM.loop n (fun x j => f x j.succ) . i) := by
|
||||
if h' : i < n then
|
||||
rw [foldlM_loop_lt _ _ h]
|
||||
@@ -170,15 +170,15 @@ theorem foldlM_add [Monad m] [LawfulMonad m] (f : α → Fin (n + k) → m α) :
|
||||
subst w
|
||||
rfl
|
||||
|
||||
private theorem foldrM_loop_zero [Monad m] (f : Fin n → α → m α) (x) :
|
||||
theorem foldrM_loop_zero [Monad m] (f : Fin n → α → m α) (x) :
|
||||
foldrM.loop n f ⟨0, Nat.zero_le _⟩ x = pure x := by
|
||||
rw [foldrM.loop]
|
||||
|
||||
private theorem foldrM_loop_succ [Monad m] (f : Fin n → α → m α) (x) (h : i < n) :
|
||||
theorem foldrM_loop_succ [Monad m] (f : Fin n → α → m α) (x) (h : i < n) :
|
||||
foldrM.loop n f ⟨i+1, h⟩ x = f ⟨i, h⟩ x >>= foldrM.loop n f ⟨i, Nat.le_of_lt h⟩ := by
|
||||
rw [foldrM.loop]
|
||||
|
||||
private theorem foldrM_loop [Monad m] [LawfulMonad m] (f : Fin (n+1) → α → m α) (x) (h : i+1 ≤ n+1) :
|
||||
theorem foldrM_loop [Monad m] [LawfulMonad m] (f : Fin (n+1) → α → m α) (x) (h : i+1 ≤ n+1) :
|
||||
foldrM.loop (n+1) f ⟨i+1, h⟩ x =
|
||||
foldrM.loop n (fun j => f j.succ) ⟨i, Nat.le_of_succ_le_succ h⟩ x >>= f 0 := by
|
||||
induction i generalizing x with
|
||||
@@ -228,14 +228,14 @@ theorem foldrM_add [Monad m] [LawfulMonad m] (f : Fin (n + k) → α → m α) :
|
||||
subst w
|
||||
rfl
|
||||
|
||||
private theorem foldl_loop_lt (f : α → Fin n → α) (x) (h : i < n) :
|
||||
theorem foldl_loop_lt (f : α → Fin n → α) (x) (h : i < n) :
|
||||
foldl.loop n f x i = foldl.loop n f (f x ⟨i, h⟩) (i+1) := by
|
||||
rw [foldl.loop, dif_pos h]
|
||||
|
||||
private theorem foldl_loop_eq (f : α → Fin n → α) (x) : foldl.loop n f x n = x := by
|
||||
theorem foldl_loop_eq (f : α → Fin n → α) (x) : foldl.loop n f x n = x := by
|
||||
rw [foldl.loop, dif_neg (Nat.lt_irrefl _)]
|
||||
|
||||
private theorem foldl_loop (f : α → Fin (n+1) → α) (x) (h : i < n+1) :
|
||||
theorem foldl_loop (f : α → Fin (n+1) → α) (x) (h : i < n+1) :
|
||||
foldl.loop (n+1) f x i = foldl.loop n (fun x j => f x j.succ) (f x ⟨i, h⟩) i := by
|
||||
if h' : i < n then
|
||||
rw [foldl_loop_lt _ _ h]
|
||||
@@ -285,15 +285,15 @@ theorem foldlM_pure [Monad m] [LawfulMonad m] {n} {f : α → Fin n → α} :
|
||||
subst w
|
||||
rfl
|
||||
|
||||
private theorem foldr_loop_zero (f : Fin n → α → α) (x) :
|
||||
theorem foldr_loop_zero (f : Fin n → α → α) (x) :
|
||||
foldr.loop n f 0 (Nat.zero_le _) x = x := by
|
||||
rw [foldr.loop]
|
||||
|
||||
private theorem foldr_loop_succ (f : Fin n → α → α) (x) (h : i < n) :
|
||||
theorem foldr_loop_succ (f : Fin n → α → α) (x) (h : i < n) :
|
||||
foldr.loop n f (i+1) h x = foldr.loop n f i (Nat.le_of_lt h) (f ⟨i, h⟩ x) := by
|
||||
rw [foldr.loop]
|
||||
|
||||
private theorem foldr_loop (f : Fin (n+1) → α → α) (x) (h : i+1 ≤ n+1) :
|
||||
theorem foldr_loop (f : Fin (n+1) → α → α) (x) (h : i+1 ≤ n+1) :
|
||||
foldr.loop (n+1) f (i+1) h x =
|
||||
f 0 (foldr.loop n (fun j => f j.succ) i (Nat.le_of_succ_le_succ h) x) := by
|
||||
induction i generalizing x with
|
||||
|
||||
@@ -927,34 +927,24 @@ For the induction:
|
||||
-/
|
||||
@[elab_as_elim] def reverseInduction {motive : Fin (n + 1) → Sort _} (last : motive (Fin.last n))
|
||||
(cast : ∀ i : Fin n, motive i.succ → motive (castSucc i)) (i : Fin (n + 1)) : motive i :=
|
||||
let rec go (j : Nat) (h) (h2 : i ≤ j) (x : motive ⟨j, h⟩) : motive i :=
|
||||
if hi : i.1 = j then _root_.cast (by simp [← hi]) x
|
||||
else match j with
|
||||
| 0 => by omega
|
||||
| j + 1 => go j (by omega) (by omega) (cast ⟨j, by omega⟩ x)
|
||||
go _ _ (by omega) last
|
||||
if hi : i = Fin.last n then _root_.cast (congrArg motive hi.symm) last
|
||||
else
|
||||
let j : Fin n := ⟨i, Nat.lt_of_le_of_ne (Nat.le_of_lt_succ i.2) fun h => hi (Fin.ext h)⟩
|
||||
cast _ (reverseInduction last cast j.succ)
|
||||
termination_by n + 1 - i
|
||||
decreasing_by decreasing_with
|
||||
-- FIXME: we put the proof down here to avoid getting a dummy `have` in the definition
|
||||
try simp only [Nat.succ_sub_succ_eq_sub]
|
||||
exact Nat.add_sub_add_right .. ▸ Nat.sub_lt_sub_left i.2 (Nat.lt_succ_self i)
|
||||
|
||||
@[simp] theorem reverseInduction_last {n : Nat} {motive : Fin (n + 1) → Sort _} {zero succ} :
|
||||
(reverseInduction zero succ (Fin.last n) : motive (Fin.last n)) = zero := by
|
||||
rw [reverseInduction, reverseInduction.go]; simp
|
||||
|
||||
private theorem reverseInduction_castSucc_aux {n : Nat} {motive : Fin (n + 1) → Sort _} {succ}
|
||||
(i : Fin n) (j : Nat) (h) (h2 : i.1 < j) (zero : motive ⟨j, h⟩) :
|
||||
reverseInduction.go (motive := motive) succ i.castSucc j h (Nat.le_of_lt h2) zero =
|
||||
succ i (reverseInduction.go succ i.succ j h h2 zero) := by
|
||||
induction j generalizing i with
|
||||
| zero => omega
|
||||
| succ j ih =>
|
||||
rw [reverseInduction.go, dif_neg (by exact Nat.ne_of_lt h2)]
|
||||
by_cases hij : i = j
|
||||
· subst hij; simp [reverseInduction.go]
|
||||
dsimp only
|
||||
rw [ih _ _ (by omega), eq_comm, reverseInduction.go, dif_neg (by change i.1 + 1 ≠ _; omega)]
|
||||
rw [reverseInduction]; simp
|
||||
|
||||
@[simp] theorem reverseInduction_castSucc {n : Nat} {motive : Fin (n + 1) → Sort _} {zero succ}
|
||||
(i : Fin n) : reverseInduction (motive := motive) zero succ (castSucc i) =
|
||||
succ i (reverseInduction zero succ i.succ) := by
|
||||
rw [reverseInduction, reverseInduction_castSucc_aux _ _ _ i.isLt, reverseInduction]
|
||||
rw [reverseInduction, dif_neg (Fin.ne_of_lt (Fin.castSucc_lt_last i))]; rfl
|
||||
|
||||
/--
|
||||
Proves a statement by cases on the underlying `Nat` value in a `Fin (n + 1)`, checking whether the
|
||||
|
||||
@@ -314,7 +314,7 @@ Examples:
|
||||
* `(0 : Int).natAbs = 0`
|
||||
* `((-11 : Int).natAbs = 11`
|
||||
-/
|
||||
@[extern "lean_nat_abs", expose]
|
||||
@[extern "lean_nat_abs"]
|
||||
def natAbs (m : @& Int) : Nat :=
|
||||
match m with
|
||||
| ofNat m => m
|
||||
@@ -404,26 +404,6 @@ instance : Min Int := minOfLe
|
||||
|
||||
instance : Max Int := maxOfLe
|
||||
|
||||
/-- Equality predicate for kernel reduction. -/
|
||||
@[expose] protected noncomputable def beq' (a b : Int) : Bool :=
|
||||
Int.rec
|
||||
(fun a => Int.rec (fun b => Nat.beq a b) (fun _ => false) b)
|
||||
(fun a => Int.rec (fun _ => false) (fun b => Nat.beq a b) b) a
|
||||
|
||||
/-- `x ≤ y` for kernel reduction. -/
|
||||
@[expose] protected noncomputable def ble' (a b : Int) : Bool :=
|
||||
Int.rec
|
||||
(fun a => Int.rec (fun b => Nat.ble a b) (fun _ => false) b)
|
||||
(fun a => Int.rec (fun _ => true) (fun b => Nat.ble b a) b)
|
||||
a
|
||||
|
||||
/-- `x < y` for kernel reduction. -/
|
||||
@[expose] protected noncomputable def blt' (a b : Int) : Bool :=
|
||||
Int.rec
|
||||
(fun a => Int.rec (fun b => Nat.blt a b) (fun _ => false) b)
|
||||
(fun a => Int.rec (fun _ => true) (fun b => Nat.blt b a) b)
|
||||
a
|
||||
|
||||
end Int
|
||||
|
||||
/--
|
||||
|
||||
@@ -27,7 +27,7 @@ theorem compare_eq_ite_lt (a b : Int) :
|
||||
simp only [compare, compareOfLessAndEq]
|
||||
split
|
||||
· rfl
|
||||
next h =>
|
||||
· next h =>
|
||||
match Int.lt_or_eq_of_le (Int.not_lt.1 h) with
|
||||
| .inl h => simp [h, Int.ne_of_gt h]
|
||||
| .inr rfl => simp
|
||||
@@ -36,11 +36,11 @@ theorem compare_eq_ite_le (a b : Int) :
|
||||
compare a b = if a ≤ b then if b ≤ a then .eq else .lt else .gt := by
|
||||
rw [compare_eq_ite_lt]
|
||||
split
|
||||
next hlt => simp [Int.le_of_lt hlt, Int.not_le.2 hlt]
|
||||
next hge =>
|
||||
· next hlt => simp [Int.le_of_lt hlt, Int.not_le.2 hlt]
|
||||
· next hge =>
|
||||
split
|
||||
next hgt => simp [Int.not_le.2 hgt]
|
||||
next hle => simp [Int.not_lt.1 hge, Int.not_lt.1 hle]
|
||||
· next hgt => simp [Int.not_le.2 hgt]
|
||||
· next hle => simp [Int.not_lt.1 hge, Int.not_lt.1 hle]
|
||||
|
||||
protected theorem compare_swap (a b : Int) : (compare a b).swap = compare b a := by
|
||||
simp only [compare_eq_ite_le]; (repeat' split) <;> try rfl
|
||||
|
||||
@@ -86,17 +86,6 @@ theorem negSucc_coe (n : Nat) : -[n+1] = -↑(n + 1) := rfl
|
||||
@[simp, norm_cast] theorem cast_ofNat_Int :
|
||||
(Nat.cast (no_index (OfNat.ofNat n)) : Int) = OfNat.ofNat n := rfl
|
||||
|
||||
@[simp] theorem beq'_eq (a b : Int) : Int.beq' a b = (a = b) := by
|
||||
cases a <;> cases b <;> simp [Int.beq', ofNat_inj]
|
||||
|
||||
@[simp] theorem beq'_ne (a b : Int) : (Int.beq' a b = false) = (a ≠ b) := by
|
||||
rw [Ne, ← beq'_eq, Bool.not_eq_true]
|
||||
|
||||
theorem beq'_eq_beq (a b : Int) : (Int.beq' a b) = (a == b) := by
|
||||
have h : (Int.beq' a b = true) = (a == b) := by simp
|
||||
have : ∀ {a b : Bool}, (a = true) = (b = true) → a = b := by intro a b; cases a <;> cases b <;> simp
|
||||
exact this h
|
||||
|
||||
/- ## neg -/
|
||||
|
||||
@[simp] protected theorem neg_neg : ∀ a : Int, -(-a) = a
|
||||
|
||||
@@ -69,18 +69,6 @@ theorem natCast_succ_pos (n : Nat) : 0 < (n.succ : Int) := natCast_pos.2 n.succ_
|
||||
|
||||
@[simp, norm_cast] theorem cast_id {n : Int} : Int.cast n = n := rfl
|
||||
|
||||
@[simp] theorem ble'_eq_true (a b : Int) : (Int.ble' a b = true) = (a ≤ b) := by
|
||||
cases a <;> cases b <;> simp [Int.ble'] <;> omega
|
||||
|
||||
@[simp] theorem blt'_eq_true (a b : Int) : (Int.blt' a b = true) = (a < b) := by
|
||||
cases a <;> cases b <;> simp [Int.blt'] <;> omega
|
||||
|
||||
@[simp] theorem ble'_eq_false (a b : Int) : (Int.ble' a b = false) = ¬(a ≤ b) := by
|
||||
simp [← Bool.not_eq_true]
|
||||
|
||||
@[simp] theorem blt'_eq_false (a b : Int) : (Int.blt' a b = false) = ¬ (a < b) := by
|
||||
simp [← Bool.not_eq_true]
|
||||
|
||||
/-! ### toNat -/
|
||||
|
||||
@[simp] theorem toNat_sub' (a : Int) (b : Nat) : (a - b).toNat = a.toNat - b := by
|
||||
|
||||
File diff suppressed because it is too large
Load Diff
@@ -9,100 +9,96 @@ prelude
|
||||
public import Init.Data.Int.Lemmas
|
||||
public import Init.Data.Int.DivMod
|
||||
public import Init.Data.Int.Linear
|
||||
public import Init.GrindInstances.ToInt
|
||||
public import Init.Data.RArray
|
||||
|
||||
public section
|
||||
|
||||
namespace Nat.ToInt
|
||||
namespace Int.OfNat
|
||||
/-!
|
||||
Helper definitions and theorems for converting `Nat` expressions into `Int` one.
|
||||
We use them to implement the arithmetic theories in `grind`
|
||||
-/
|
||||
|
||||
theorem ofNat_toNat (a : Int) : (NatCast.natCast a.toNat : Int) = if a ≤ 0 then 0 else a := by simp [Int.max_def]
|
||||
abbrev Var := Nat
|
||||
abbrev Context := Lean.RArray Nat
|
||||
@[expose]
|
||||
def Var.denote (ctx : Context) (v : Var) : Nat :=
|
||||
ctx.get v
|
||||
|
||||
theorem toNat_nonneg (x : Nat) : (-1:Int) * (NatCast.natCast x) ≤ 0 := by simp
|
||||
inductive Expr where
|
||||
| num (v : Nat)
|
||||
| var (i : Var)
|
||||
| add (a b : Expr)
|
||||
| mul (a b : Expr)
|
||||
| div (a b : Expr)
|
||||
| mod (a b : Expr)
|
||||
| pow (a : Expr) (k : Nat)
|
||||
deriving BEq
|
||||
|
||||
theorem natCast_ofNat (n : Nat) : (NatCast.natCast (OfNat.ofNat n : Nat) : Int) = OfNat.ofNat n := by rfl
|
||||
@[expose]
|
||||
def Expr.denote (ctx : Context) : Expr → Nat
|
||||
| .num k => k
|
||||
| .var v => v.denote ctx
|
||||
| .add a b => Nat.add (denote ctx a) (denote ctx b)
|
||||
| .mul a b => Nat.mul (denote ctx a) (denote ctx b)
|
||||
| .div a b => Nat.div (denote ctx a) (denote ctx b)
|
||||
| .mod a b => Nat.mod (denote ctx a) (denote ctx b)
|
||||
| .pow a k => Nat.pow (denote ctx a) k
|
||||
|
||||
theorem of_eq {a b : Nat} {a' b' : Int}
|
||||
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : a = b → a' = b' := by
|
||||
intro h; replace h := congrArg (NatCast.natCast (R := Int)) h
|
||||
rw [h₁, h₂] at h; assumption
|
||||
@[expose]
|
||||
def Expr.denoteAsInt (ctx : Context) : Expr → Int
|
||||
| .num k => Int.ofNat k
|
||||
| .var v => Int.ofNat (v.denote ctx)
|
||||
| .add a b => Int.add (denoteAsInt ctx a) (denoteAsInt ctx b)
|
||||
| .mul a b => Int.mul (denoteAsInt ctx a) (denoteAsInt ctx b)
|
||||
| .div a b => Int.ediv (denoteAsInt ctx a) (denoteAsInt ctx b)
|
||||
| .mod a b => Int.emod (denoteAsInt ctx a) (denoteAsInt ctx b)
|
||||
| .pow a k => Int.pow (denoteAsInt ctx a) k
|
||||
|
||||
theorem of_diseq {a b : Nat} {a' b' : Int}
|
||||
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : a ≠ b → a' ≠ b' := by
|
||||
intro hne h; rw [← h₁, ← h₂] at h
|
||||
replace h := Int.ofNat_inj.mp h; contradiction
|
||||
theorem Expr.denoteAsInt_eq (ctx : Context) (e : Expr) : e.denoteAsInt ctx = e.denote ctx := by
|
||||
induction e <;> simp [denote, denoteAsInt, *] <;> rfl
|
||||
|
||||
theorem of_dvd (d a : Nat) (d' a' : Int)
|
||||
(h₁ : NatCast.natCast d = d') (h₂ : NatCast.natCast a = a') : d ∣ a → d' ∣ a' := by
|
||||
simp [← h₁, ←h₂, Int.ofNat_dvd]
|
||||
theorem Expr.eq_denoteAsInt (ctx : Context) (e : Expr) : e.denote ctx = e.denoteAsInt ctx := by
|
||||
apply Eq.symm; apply denoteAsInt_eq
|
||||
|
||||
theorem of_le {a b : Nat} {a' b' : Int}
|
||||
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : a ≤ b → a' ≤ b' := by
|
||||
intro h; replace h := Int.ofNat_le |>.mpr h
|
||||
rw [← h₁, ← h₂]; assumption
|
||||
theorem Expr.eq (ctx : Context) (lhs rhs : Expr)
|
||||
: (lhs.denote ctx = rhs.denote ctx) = (lhs.denoteAsInt ctx = rhs.denoteAsInt ctx) := by
|
||||
simp [denoteAsInt_eq, Int.ofNat_inj]
|
||||
|
||||
theorem of_not_le {a b : Nat} {a' b' : Int}
|
||||
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : ¬ (a ≤ b) → b' + 1 ≤ a' := by
|
||||
intro h; rw [← Int.ofNat_le] at h
|
||||
rw [← h₁, ← h₂]; show (↑b + 1 : Int) ≤ a; omega
|
||||
theorem Expr.le (ctx : Context) (lhs rhs : Expr)
|
||||
: (lhs.denote ctx ≤ rhs.denote ctx) = (lhs.denoteAsInt ctx ≤ rhs.denoteAsInt ctx) := by
|
||||
simp [denoteAsInt_eq, Int.ofNat_le]
|
||||
|
||||
theorem add_congr {a b : Nat} {a' b' : Int}
|
||||
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : NatCast.natCast (a + b) = a' + b' := by
|
||||
simp_all [Int.natCast_add]
|
||||
theorem of_le (ctx : Context) (lhs rhs : Expr)
|
||||
: lhs.denote ctx ≤ rhs.denote ctx → lhs.denoteAsInt ctx ≤ rhs.denoteAsInt ctx := by
|
||||
rw [Expr.le ctx lhs rhs]; simp
|
||||
|
||||
theorem mul_congr {a b : Nat} {a' b' : Int}
|
||||
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : NatCast.natCast (a * b) = a' * b' := by
|
||||
simp_all [Int.natCast_mul]
|
||||
theorem of_not_le (ctx : Context) (lhs rhs : Expr)
|
||||
: ¬ lhs.denote ctx ≤ rhs.denote ctx → ¬ lhs.denoteAsInt ctx ≤ rhs.denoteAsInt ctx := by
|
||||
rw [Expr.le ctx lhs rhs]; simp
|
||||
|
||||
theorem sub_congr {a b : Nat} {a' b' : Int}
|
||||
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : NatCast.natCast (a - b) = if b' + (-1)*a' ≤ 0 then a' - b' else 0 := by
|
||||
rw [Int.neg_mul, ← Int.sub_eq_add_neg, Int.one_mul]
|
||||
theorem of_dvd (ctx : Context) (d : Nat) (e : Expr)
|
||||
: d ∣ e.denote ctx → Int.ofNat d ∣ e.denoteAsInt ctx := by
|
||||
simp [Expr.denoteAsInt_eq, Int.ofNat_dvd]
|
||||
|
||||
theorem of_eq (ctx : Context) (lhs rhs : Expr)
|
||||
: lhs.denote ctx = rhs.denote ctx → lhs.denoteAsInt ctx = rhs.denoteAsInt ctx := by
|
||||
rw [Expr.eq ctx lhs rhs]; simp
|
||||
|
||||
theorem of_not_eq (ctx : Context) (lhs rhs : Expr)
|
||||
: ¬ lhs.denote ctx = rhs.denote ctx → ¬ lhs.denoteAsInt ctx = rhs.denoteAsInt ctx := by
|
||||
rw [Expr.eq ctx lhs rhs]; simp
|
||||
|
||||
theorem ofNat_toNat (a : Int) : (NatCast.natCast a.toNat : Int) = if a ≤ 0 then 0 else a := by
|
||||
split
|
||||
next h =>
|
||||
have h := Int.le_of_sub_nonpos h
|
||||
simp [← h₁, ← h₂, Int.ofNat_le] at h
|
||||
simp [Int.ofNat_sub h]
|
||||
rw [← h₁, ← h₂]
|
||||
rw [Int.toNat_of_nonpos h]; rfl
|
||||
next h =>
|
||||
have : ¬ (↑b : Int) ≤ ↑a := by
|
||||
intro h
|
||||
replace h := Int.sub_nonpos_of_le h
|
||||
simp [h₁, h₂] at h
|
||||
contradiction
|
||||
rw [Int.ofNat_le] at this
|
||||
simp [Lean.Omega.Int.ofNat_sub_eq_zero this]
|
||||
simp at h
|
||||
have := Int.toNat_of_nonneg (Int.le_of_lt h)
|
||||
assumption
|
||||
|
||||
theorem pow_congr {a : Nat} (k : Nat) (a' : Int)
|
||||
(h₁ : NatCast.natCast a = a') : NatCast.natCast (a ^ k) = a' ^ k := by
|
||||
simp_all [Int.natCast_pow]
|
||||
theorem Expr.denoteAsInt_nonneg (ctx : Context) (e : Expr) : 0 ≤ e.denoteAsInt ctx := by
|
||||
simp [Expr.denoteAsInt_eq]
|
||||
|
||||
theorem div_congr {a b : Nat} {a' b' : Int}
|
||||
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : NatCast.natCast (a / b) = a' / b' := by
|
||||
simp_all [Int.natCast_ediv]
|
||||
|
||||
theorem mod_congr {a b : Nat} {a' b' : Int}
|
||||
(h₁ : NatCast.natCast a = a') (h₂ : NatCast.natCast b = b') : NatCast.natCast (a % b) = a' % b' := by
|
||||
simp_all [Int.natCast_emod]
|
||||
|
||||
theorem finVal {n : Nat} {a : Fin n} {a' : Int}
|
||||
(h₁ : Lean.Grind.ToInt.toInt a = a') : NatCast.natCast (a.val) = a' := by
|
||||
rw [← h₁, Lean.Grind.ToInt.toInt, Lean.Grind.instToIntFinCoOfNatIntCast]
|
||||
|
||||
end Nat.ToInt
|
||||
|
||||
namespace Int.Nonneg
|
||||
|
||||
@[expose] def num_cert (a : Int) : Bool := a ≥ 0
|
||||
theorem num (a : Int) : num_cert a → a ≥ 0 := by simp [num_cert]
|
||||
theorem add (a b : Int) (h₁ : a ≥ 0) (h₂ : b ≥ 0) : a + b ≥ 0 := by exact Int.add_nonneg h₁ h₂
|
||||
theorem mul (a b : Int) (h₁ : a ≥ 0) (h₂ : b ≥ 0) : a * b ≥ 0 := by exact Int.mul_nonneg h₁ h₂
|
||||
theorem div (a b : Int) (h₁ : a ≥ 0) (h₂ : b ≥ 0) : a / b ≥ 0 := by exact Int.ediv_nonneg h₁ h₂
|
||||
theorem pow (a : Int) (k : Nat) (h₁ : a ≥ 0) : a ^ k ≥ 0 := by exact Int.pow_nonneg h₁
|
||||
theorem mod (a b : Int) (h₁ : a ≥ 0) : a % b ≥ 0 := by
|
||||
by_cases b = 0
|
||||
next => simp [*]
|
||||
next h => exact emod_nonneg a h
|
||||
theorem natCast (a : Nat) : (NatCast.natCast a : Int) ≥ 0 := by simp
|
||||
theorem toPoly (e : Int) : e ≥ 0 → -1 * e ≤ 0 := by omega
|
||||
|
||||
end Int.Nonneg
|
||||
end Int.OfNat
|
||||
|
||||
@@ -1117,11 +1117,11 @@ protected theorem add_le_zero_iff_le_neg {a b : Int} : a + b ≤ 0 ↔ a ≤ -b
|
||||
protected theorem add_le_zero_iff_le_neg' {a b : Int} : a + b ≤ 0 ↔ b ≤ -a := by
|
||||
rw [Int.add_comm, Int.add_le_zero_iff_le_neg]
|
||||
|
||||
protected theorem add_nonneg_iff_neg_le {a b : Int} : 0 ≤ a + b ↔ -b ≤ a := by
|
||||
protected theorem add_nonnneg_iff_neg_le {a b : Int} : 0 ≤ a + b ↔ -b ≤ a := by
|
||||
rw [Int.le_add_iff_sub_le, Int.zero_sub]
|
||||
|
||||
protected theorem add_nonneg_iff_neg_le' {a b : Int} : 0 ≤ a + b ↔ -a ≤ b := by
|
||||
rw [Int.add_comm, Int.add_nonneg_iff_neg_le]
|
||||
protected theorem add_nonnneg_iff_neg_le' {a b : Int} : 0 ≤ a + b ↔ -a ≤ b := by
|
||||
rw [Int.add_comm, Int.add_nonnneg_iff_neg_le]
|
||||
|
||||
/- ### Order properties and multiplication -/
|
||||
|
||||
|
||||
@@ -10,7 +10,7 @@ public import Init.Data.Iterators.Consumers.Partial
|
||||
public import Init.Data.Iterators.Consumers.Loop
|
||||
public import Init.Data.Iterators.Consumers.Monadic.Access
|
||||
|
||||
@[expose] public section
|
||||
public section
|
||||
|
||||
namespace Std.Iterators
|
||||
|
||||
|
||||
@@ -10,7 +10,7 @@ public import Init.Data.Iterators.Basic
|
||||
public import Init.Data.Iterators.Consumers.Partial
|
||||
public import Init.Data.Iterators.Consumers.Monadic.Collect
|
||||
|
||||
@[expose] public section
|
||||
public section
|
||||
|
||||
/-!
|
||||
# Collectors
|
||||
|
||||
@@ -9,7 +9,7 @@ prelude
|
||||
public import Init.Data.Iterators.Consumers.Monadic.Partial
|
||||
public import Init.Data.Iterators.Internal.LawfulMonadLiftFunction
|
||||
|
||||
@[expose] public section
|
||||
public section
|
||||
|
||||
/-!
|
||||
# Collectors
|
||||
|
||||
@@ -10,7 +10,6 @@ public import all Init.Data.Iterators.Combinators.Attach
|
||||
public import all Init.Data.Iterators.Combinators.Monadic.Attach
|
||||
public import Init.Data.Iterators.Lemmas.Combinators.Monadic.Attach
|
||||
public import Init.Data.Iterators.Lemmas.Consumers.Collect
|
||||
public import Init.Data.Array.Attach
|
||||
|
||||
public section
|
||||
|
||||
@@ -69,16 +68,4 @@ theorem Iter.unattach_toArray_attachWith [Iterator α Id β]
|
||||
(it.attachWith P hP).toListRev.unattach = it.toListRev := by
|
||||
simp [toListRev_eq]
|
||||
|
||||
@[simp]
|
||||
theorem Iter.toArray_attachWith [Iterator α Id β]
|
||||
{it : Iter (α := α) β} {hP}
|
||||
[Finite α Id] [IteratorCollect α Id Id]
|
||||
[LawfulIteratorCollect α Id Id] :
|
||||
(it.attachWith P hP).toArray = it.toArray.attachWith P
|
||||
(fun out h => hP out (isPlausibleIndirectOutput_of_mem_toArray h)) := by
|
||||
suffices (it.attachWith P hP).toArray.toList = (it.toArray.attachWith P
|
||||
(fun out h => hP out (isPlausibleIndirectOutput_of_mem_toArray h))).toList by
|
||||
simpa only [Array.toList_inj]
|
||||
simp [Iter.toList_toArray]
|
||||
|
||||
end Std.Iterators
|
||||
|
||||
@@ -251,7 +251,7 @@ instance {α β γ : Type w} {m : Type w → Type w'} {n : Type w → Type w''}
|
||||
simp only [LawfulIteratorCollect.toArrayMapped_eq]
|
||||
simp only [IteratorCollect.toArrayMapped]
|
||||
rw [LawfulIteratorCollect.toArrayMapped_eq]
|
||||
induction it using IterM.inductSteps with | step it ih_yield ih_skip
|
||||
induction it using IterM.inductSteps with | step it ih_yield ih_skip =>
|
||||
rw [IterM.DefaultConsumers.toArrayMapped_eq_match_step]
|
||||
rw [IterM.DefaultConsumers.toArrayMapped_eq_match_step]
|
||||
simp only [bind_assoc]
|
||||
|
||||
@@ -97,7 +97,7 @@ theorem Iter.getElem?_toList_eq_atIdxSlow? {α β}
|
||||
[Iterator α Id β] [Finite α Id] [IteratorCollect α Id Id] [LawfulIteratorCollect α Id Id]
|
||||
{it : Iter (α := α) β} {k : Nat} :
|
||||
it.toList[k]? = it.atIdxSlow? k := by
|
||||
induction it using Iter.inductSteps generalizing k with | step it ihy ihs
|
||||
induction it using Iter.inductSteps generalizing k with | step it ihy ihs =>
|
||||
rw [toList_eq_match_step, atIdxSlow?]
|
||||
obtain ⟨step, h⟩ := it.step
|
||||
cases step
|
||||
@@ -117,7 +117,7 @@ theorem Iter.isPlausibleIndirectOutput_of_mem_toList
|
||||
[Iterator α Id β] [Finite α Id] [IteratorCollect α Id Id] [LawfulIteratorCollect α Id Id]
|
||||
{it : Iter (α := α) β} {b : β} :
|
||||
b ∈ it.toList → it.IsPlausibleIndirectOutput b := by
|
||||
induction it using Iter.inductSteps with | step it ihy ihs
|
||||
induction it using Iter.inductSteps with | step it ihy ihs =>
|
||||
rw [toList_eq_match_step]
|
||||
cases it.step using PlausibleIterStep.casesOn
|
||||
case yield it' out h =>
|
||||
@@ -144,13 +144,4 @@ theorem Iter.isPlausibleIndirectOutput_of_mem_toListRev
|
||||
apply isPlausibleIndirectOutput_of_mem_toList
|
||||
simpa [toListRev_eq] using h
|
||||
|
||||
theorem Iter.isPlausibleIndirectOutput_of_mem_toArray
|
||||
[Iterator α Id β] [Finite α Id] [IteratorCollect α Id Id] [LawfulIteratorCollect α Id Id]
|
||||
{it : Iter (α := α) β} {b : β} :
|
||||
b ∈ it.toArray → it.IsPlausibleIndirectOutput b := by
|
||||
intro h
|
||||
apply isPlausibleIndirectOutput_of_mem_toList
|
||||
rw [← Array.mem_toList_iff] at h
|
||||
simpa [toList_toArray] using h
|
||||
|
||||
end Std.Iterators
|
||||
|
||||
@@ -143,7 +143,7 @@ theorem Iter.mem_toList_iff_isPlausibleIndirectOutput {α β} [Iterator α Id β
|
||||
[LawfulIteratorCollect α Id Id] [LawfulDeterministicIterator α Id]
|
||||
{it : Iter (α := α) β} {out : β} :
|
||||
out ∈ it.toList ↔ it.IsPlausibleIndirectOutput out := by
|
||||
induction it using Iter.inductSteps with | step it ihy ihs
|
||||
induction it using Iter.inductSteps with | step it ihy ihs =>
|
||||
rw [toList_eq_match_step]
|
||||
constructor
|
||||
· intro h
|
||||
@@ -194,7 +194,7 @@ theorem Iter.forIn'_toList {α β : Type w} [Iterator α Id β]
|
||||
{f : (out : β) → _ → γ → m (ForInStep γ)} :
|
||||
letI : ForIn' m (Iter (α := α) β) β _ := Iter.instForIn'
|
||||
ForIn'.forIn' it.toList init f = ForIn'.forIn' it init (fun out h acc => f out (Iter.mem_toList_iff_isPlausibleIndirectOutput.mpr h) acc) := by
|
||||
induction it using Iter.inductSteps generalizing init with | step it ihy ihs
|
||||
induction it using Iter.inductSteps generalizing init with case step it ihy ihs =>
|
||||
have := it.toList_eq_match_step
|
||||
generalize hs : it.step = step at this
|
||||
rw [forIn'_toList.aux this]
|
||||
@@ -239,7 +239,7 @@ theorem Iter.forIn_toList {α β : Type w} [Iterator α Id β]
|
||||
{f : β → γ → m (ForInStep γ)} :
|
||||
ForIn.forIn it.toList init f = ForIn.forIn it init f := by
|
||||
rw [List.forIn_eq_foldlM]
|
||||
induction it using Iter.inductSteps generalizing init with | step it ihy ihs
|
||||
induction it using Iter.inductSteps generalizing init with case step it ihy ihs =>
|
||||
rw [forIn_eq_match_step, Iter.toList_eq_match_step]
|
||||
simp only [map_eq_pure_bind]
|
||||
generalize it.step = step
|
||||
|
||||
@@ -21,7 +21,8 @@ theorem IterM.DefaultConsumers.toArrayMapped.go.aux₁ [Monad n] [LawfulMonad n]
|
||||
[Finite α m] {b : γ} {bs : Array γ} :
|
||||
IterM.DefaultConsumers.toArrayMapped.go lift f it (#[b] ++ bs) (m := m) =
|
||||
(#[b] ++ ·) <$> IterM.DefaultConsumers.toArrayMapped.go lift f it bs (m := m) := by
|
||||
induction it, bs using IterM.DefaultConsumers.toArrayMapped.go.induct with | _ it bs ih₁ ih₂
|
||||
induction it, bs using IterM.DefaultConsumers.toArrayMapped.go.induct
|
||||
next it bs ih₁ ih₂ =>
|
||||
rw [go, map_eq_pure_bind, go, bind_assoc]
|
||||
apply bind_congr
|
||||
intro step
|
||||
@@ -92,7 +93,8 @@ theorem IterM.toList_eq_match_step [Monad m] [LawfulMonad m] [Iterator α m β]
|
||||
theorem IterM.toListRev.go.aux₁ [Monad m] [LawfulMonad m] [Iterator α m β] [Finite α m]
|
||||
{it : IterM (α := α) m β} {b : β} {bs : List β} :
|
||||
IterM.toListRev.go it (bs ++ [b]) = (· ++ [b]) <$> IterM.toListRev.go it bs:= by
|
||||
induction it, bs using IterM.toListRev.go.induct with | _ it bs ih₁ ih₂
|
||||
induction it, bs using IterM.toListRev.go.induct
|
||||
next it bs ih₁ ih₂ =>
|
||||
rw [go, go, map_eq_pure_bind, bind_assoc]
|
||||
apply bind_congr
|
||||
intro step
|
||||
|
||||
@@ -208,7 +208,7 @@ theorem IterM.toList_eq_fold {α β : Type w} {m : Type w → Type w'} [Iterator
|
||||
it.fold (init := l') (fun l out => l ++ [out]) by
|
||||
specialize h []
|
||||
simpa using h
|
||||
induction it using IterM.inductSteps with | step it ihy ihs
|
||||
induction it using IterM.inductSteps with | step it ihy ihs =>
|
||||
intro l'
|
||||
rw [IterM.toList_eq_match_step, IterM.fold_eq_match_step]
|
||||
simp only [map_eq_pure_bind, bind_assoc]
|
||||
@@ -253,7 +253,7 @@ theorem IterM.drain_eq_map_toList {α β : Type w} {m : Type w → Type w'} [Ite
|
||||
[IteratorCollect α m m] [LawfulIteratorCollect α m m]
|
||||
{it : IterM (α := α) m β} :
|
||||
it.drain = (fun _ => .unit) <$> it.toList := by
|
||||
induction it using IterM.inductSteps with | step it ihy ihs
|
||||
induction it using IterM.inductSteps with | step it ihy ihs =>
|
||||
rw [IterM.drain_eq_match_step, IterM.toList_eq_match_step]
|
||||
simp only [map_eq_pure_bind, bind_assoc]
|
||||
apply bind_congr
|
||||
|
||||
@@ -242,7 +242,8 @@ instance instLT [LT α] : LT (List α) := ⟨List.lt⟩
|
||||
instance decidableLT [DecidableEq α] [LT α] [DecidableLT α] (l₁ l₂ : List α) :
|
||||
Decidable (l₁ < l₂) := decidableLex (· < ·) l₁ l₂
|
||||
|
||||
|
||||
@[deprecated decidableLT (since := "2024-12-13"), inherit_doc decidableLT]
|
||||
abbrev hasDecidableLt := @decidableLT
|
||||
|
||||
/--
|
||||
Non-strict ordering of lists with respect to a strict ordering of their elements.
|
||||
@@ -1368,7 +1369,7 @@ Each element of a list is related to all later elements of the list by `R`.
|
||||
`Pairwise R l` means that all the elements of `l` with earlier indexes are `R`-related to all the
|
||||
elements with later indexes.
|
||||
|
||||
For example, `Pairwise (· ≠ ·) l` asserts that `l` has no duplicates, and `Pairwise (· < ·) l`
|
||||
For example, `Pairwise (· ≠ ·) l` asserts that `l` has no duplicates, and if `Pairwise (· < ·) l`
|
||||
asserts that `l` is (strictly) sorted.
|
||||
|
||||
Examples:
|
||||
@@ -1721,8 +1722,14 @@ Examples:
|
||||
-/
|
||||
def idxOf [BEq α] (a : α) : List α → Nat := findIdx (· == a)
|
||||
|
||||
/-- Returns the index of the first element equal to `a`, or the length of the list otherwise. -/
|
||||
@[deprecated idxOf (since := "2025-01-29")] abbrev indexOf := @idxOf
|
||||
|
||||
@[simp] theorem idxOf_nil [BEq α] : ([] : List α).idxOf x = 0 := rfl
|
||||
|
||||
@[deprecated idxOf_nil (since := "2025-01-29")]
|
||||
theorem indexOf_nil [BEq α] : ([] : List α).idxOf x = 0 := rfl
|
||||
|
||||
/-! ### findIdx? -/
|
||||
|
||||
/--
|
||||
@@ -1753,6 +1760,10 @@ Examples:
|
||||
-/
|
||||
@[inline] def idxOf? [BEq α] (a : α) : List α → Option Nat := findIdx? (· == a)
|
||||
|
||||
/-- Return the index of the first occurrence of `a` in the list. -/
|
||||
@[deprecated idxOf? (since := "2025-01-29")]
|
||||
abbrev indexOf? := @idxOf?
|
||||
|
||||
/-! ### findFinIdx? -/
|
||||
|
||||
/--
|
||||
@@ -2108,6 +2119,22 @@ def range' : (start len : Nat) → (step : Nat := 1) → List Nat
|
||||
| _, 0, _ => []
|
||||
| s, n+1, step => s :: range' (s+step) n step
|
||||
|
||||
/-! ### iota -/
|
||||
|
||||
/--
|
||||
`O(n)`. `iota n` is the numbers from `1` to `n` inclusive, in decreasing order.
|
||||
* `iota 5 = [5, 4, 3, 2, 1]`
|
||||
-/
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20")]
|
||||
def iota : Nat → List Nat
|
||||
| 0 => []
|
||||
| m@(n+1) => m :: iota n
|
||||
|
||||
set_option linter.deprecated false in
|
||||
@[simp] theorem iota_zero : iota 0 = [] := rfl
|
||||
set_option linter.deprecated false in
|
||||
@[simp] theorem iota_succ : iota (i+1) = (i+1) :: iota i := rfl
|
||||
|
||||
/-! ### zipIdx -/
|
||||
|
||||
/--
|
||||
@@ -2126,6 +2153,38 @@ def zipIdx : (l : List α) → (n : Nat := 0) → List (α × Nat)
|
||||
@[simp] theorem zipIdx_nil : ([] : List α).zipIdx i = [] := rfl
|
||||
@[simp] theorem zipIdx_cons : (a::as).zipIdx i = (a, i) :: as.zipIdx (i+1) := rfl
|
||||
|
||||
/-! ### enumFrom -/
|
||||
|
||||
/--
|
||||
`O(|l|)`. `enumFrom n l` is like `enum` but it allows you to specify the initial index.
|
||||
* `enumFrom 5 [a, b, c] = [(5, a), (6, b), (7, c)]`
|
||||
-/
|
||||
@[deprecated "Use `zipIdx` instead; note the signature change." (since := "2025-01-21")]
|
||||
def enumFrom : Nat → List α → List (Nat × α)
|
||||
| _, [] => nil
|
||||
| n, x :: xs => (n, x) :: enumFrom (n + 1) xs
|
||||
|
||||
set_option linter.deprecated false in
|
||||
@[deprecated zipIdx_nil (since := "2025-01-21"), simp]
|
||||
theorem enumFrom_nil : ([] : List α).enumFrom i = [] := rfl
|
||||
set_option linter.deprecated false in
|
||||
@[deprecated zipIdx_cons (since := "2025-01-21"), simp]
|
||||
theorem enumFrom_cons : (a::as).enumFrom i = (i, a) :: as.enumFrom (i+1) := rfl
|
||||
|
||||
/-! ### enum -/
|
||||
|
||||
set_option linter.deprecated false in
|
||||
/--
|
||||
`O(|l|)`. `enum l` pairs up each element with its index in the list.
|
||||
* `enum [a, b, c] = [(0, a), (1, b), (2, c)]`
|
||||
-/
|
||||
@[deprecated "Use `zipIdx` instead; note the signature change." (since := "2025-01-21")]
|
||||
def enum : List α → List (Nat × α) := enumFrom 0
|
||||
|
||||
set_option linter.deprecated false in
|
||||
@[deprecated zipIdx_nil (since := "2025-01-21"), simp]
|
||||
theorem enum_nil : ([] : List α).enum = [] := rfl
|
||||
|
||||
/-! ## Minima and maxima -/
|
||||
|
||||
/-! ### min? -/
|
||||
@@ -2545,6 +2604,25 @@ Examples:
|
||||
exact go s n (m + 1)
|
||||
exact (go s n 0).symm
|
||||
|
||||
/-! ### iota -/
|
||||
|
||||
/-- Tail-recursive version of `List.iota`. -/
|
||||
@[deprecated "Use `List.range' 1 n` instead of `iota n`." (since := "2025-01-20")]
|
||||
def iotaTR (n : Nat) : List Nat :=
|
||||
let rec go : Nat → List Nat → List Nat
|
||||
| 0, r => r.reverse
|
||||
| m@(n+1), r => go n (m::r)
|
||||
go n []
|
||||
|
||||
set_option linter.deprecated false in
|
||||
@[csimp]
|
||||
theorem iota_eq_iotaTR : @iota = @iotaTR :=
|
||||
have aux (n : Nat) (r : List Nat) : iotaTR.go n r = r.reverse ++ iota n := by
|
||||
induction n generalizing r with
|
||||
| zero => simp [iota, iotaTR.go]
|
||||
| succ n ih => simp [iota, iotaTR.go, ih, append_assoc]
|
||||
funext fun n => by simp [iotaTR, aux]
|
||||
|
||||
/-! ## Other list operations -/
|
||||
|
||||
/-! ### intersperse -/
|
||||
|
||||
@@ -104,20 +104,6 @@ def forA {m : Type u → Type v} [Applicative m] {α : Type w} (as : List α) (f
|
||||
| [] => pure ⟨⟩
|
||||
| a :: as => f a *> forA as f
|
||||
|
||||
/--
|
||||
Applies the monadic action `f` to the corresponding elements of two lists, left-to-right, stopping
|
||||
at the end of the shorter list. `zipWithM f as bs` is equivalent to `mapM id (zipWith f as bs)`
|
||||
for lawful `Monad` instances.
|
||||
|
||||
This implementation is tail recursive. `List.zipWithM'` is a a non-tail-recursive variant that may
|
||||
be more convenient to reason about.
|
||||
-/
|
||||
@[inline, expose]
|
||||
def zipWithM {m : Type u → Type v} [Monad m] {α : Type w} {β : Type x} {γ : Type u} (f : α → β → m γ) (as : List α) (bs : List β) : m (List γ) :=
|
||||
let rec @[specialize] loop
|
||||
| a::as, b::bs, acc => do loop as bs (acc.push (← f a b))
|
||||
| _, _, acc => pure acc.toList
|
||||
loop as bs #[]
|
||||
|
||||
@[specialize]
|
||||
def filterAuxM {m : Type → Type v} [Monad m] {α : Type} (f : α → m Bool) : List α → List α → m (List α)
|
||||
|
||||
@@ -57,9 +57,15 @@ theorem eraseP_of_forall_not {l : List α} (h : ∀ a, a ∈ l → ¬p a) : l.er
|
||||
rintro x h' rfl
|
||||
simp_all
|
||||
|
||||
@[deprecated eraseP_eq_nil_iff (since := "2025-01-30")]
|
||||
abbrev eraseP_eq_nil := @eraseP_eq_nil_iff
|
||||
|
||||
theorem eraseP_ne_nil_iff {xs : List α} {p : α → Bool} : xs.eraseP p ≠ [] ↔ xs ≠ [] ∧ ∀ x, p x → xs ≠ [x] := by
|
||||
simp
|
||||
|
||||
@[deprecated eraseP_ne_nil_iff (since := "2025-01-30")]
|
||||
abbrev eraseP_ne_nil := @eraseP_ne_nil_iff
|
||||
|
||||
theorem exists_of_eraseP : ∀ {l : List α} {a} (_ : a ∈ l) (_ : p a),
|
||||
∃ a l₁ l₂, (∀ b ∈ l₁, ¬p b) ∧ p a ∧ l = l₁ ++ a :: l₂ ∧ l.eraseP p = l₁ ++ l₂
|
||||
| b :: l, _, al, pa =>
|
||||
@@ -331,7 +337,7 @@ theorem erase_of_not_mem [LawfulBEq α] {a : α} : ∀ {l : List α}, a ∉ l
|
||||
theorem erase_eq_eraseP' (a : α) (l : List α) : l.erase a = l.eraseP (· == a) := by
|
||||
induction l
|
||||
· simp
|
||||
next b t ih =>
|
||||
· next b t ih =>
|
||||
rw [erase_cons, eraseP_cons, ih]
|
||||
if h : b == a then simp [h] else simp [h]
|
||||
|
||||
@@ -346,11 +352,17 @@ theorem erase_eq_eraseP [LawfulBEq α] (a : α) : ∀ (l : List α), l.erase a =
|
||||
rw [erase_eq_eraseP]
|
||||
simp
|
||||
|
||||
@[deprecated erase_eq_nil_iff (since := "2025-01-30")]
|
||||
abbrev erase_eq_nil := @erase_eq_nil_iff
|
||||
|
||||
theorem erase_ne_nil_iff [LawfulBEq α] {xs : List α} {a : α} :
|
||||
xs.erase a ≠ [] ↔ xs ≠ [] ∧ xs ≠ [a] := by
|
||||
rw [erase_eq_eraseP]
|
||||
simp
|
||||
|
||||
@[deprecated erase_ne_nil_iff (since := "2025-01-30")]
|
||||
abbrev erase_ne_nil := @erase_ne_nil_iff
|
||||
|
||||
theorem exists_erase_eq [LawfulBEq α] {a : α} {l : List α} (h : a ∈ l) :
|
||||
∃ l₁ l₂, a ∉ l₁ ∧ l = l₁ ++ a :: l₂ ∧ l.erase a = l₁ ++ l₂ := by
|
||||
let ⟨_, l₁, l₂, h₁, e, h₂, h₃⟩ := exists_of_eraseP h (beq_self_eq_true _)
|
||||
@@ -570,7 +582,8 @@ theorem eraseIdx_eq_take_drop_succ :
|
||||
| a::l, 0
|
||||
| a::l, i + 1 => simp
|
||||
|
||||
|
||||
@[deprecated eraseIdx_eq_nil_iff (since := "2025-01-30")]
|
||||
abbrev eraseIdx_eq_nil := @eraseIdx_eq_nil_iff
|
||||
|
||||
theorem eraseIdx_ne_nil_iff {l : List α} {i : Nat} : eraseIdx l i ≠ [] ↔ 2 ≤ l.length ∨ (l.length = 1 ∧ i ≠ 0) := by
|
||||
match l with
|
||||
@@ -578,7 +591,8 @@ theorem eraseIdx_ne_nil_iff {l : List α} {i : Nat} : eraseIdx l i ≠ [] ↔ 2
|
||||
| [a]
|
||||
| a::b::l => simp
|
||||
|
||||
|
||||
@[deprecated eraseIdx_ne_nil_iff (since := "2025-01-30")]
|
||||
abbrev eraseIdx_ne_nil := @eraseIdx_ne_nil_iff
|
||||
|
||||
@[grind]
|
||||
theorem eraseIdx_sublist : ∀ (l : List α) (k : Nat), eraseIdx l k <+ l
|
||||
@@ -686,6 +700,7 @@ theorem erase_eq_eraseIdx_of_idxOf [BEq α] [LawfulBEq α]
|
||||
rw [eq_comm, eraseIdx_eq_self]
|
||||
exact Nat.le_of_eq (idxOf_eq_length h).symm
|
||||
|
||||
|
||||
@[deprecated erase_eq_eraseIdx_of_idxOf (since := "2025-01-29")]
|
||||
abbrev erase_eq_eraseIdx_of_indexOf := @erase_eq_eraseIdx_of_idxOf
|
||||
|
||||
end List
|
||||
|
||||
@@ -46,7 +46,7 @@ theorem finRange_succ_last {n} :
|
||||
getElem_map, Fin.castSucc_mk, getElem_singleton]
|
||||
split
|
||||
· rfl
|
||||
next h => exact Fin.eq_last_of_not_lt h
|
||||
· next h => exact Fin.eq_last_of_not_lt h
|
||||
|
||||
@[grind _=_]
|
||||
theorem finRange_reverse {n} : (finRange n).reverse = (finRange n).map Fin.rev := by
|
||||
|
||||
@@ -1098,9 +1098,15 @@ theorem idxOf_cons [BEq α] :
|
||||
dsimp [idxOf]
|
||||
simp [findIdx_cons]
|
||||
|
||||
@[deprecated idxOf_cons (since := "2025-01-29")]
|
||||
abbrev indexOf_cons := @idxOf_cons
|
||||
|
||||
@[simp] theorem idxOf_cons_self [BEq α] [ReflBEq α] {l : List α} : (a :: l).idxOf a = 0 := by
|
||||
simp [idxOf_cons]
|
||||
|
||||
@[deprecated idxOf_cons_self (since := "2025-01-29")]
|
||||
abbrev indexOf_cons_self := @idxOf_cons_self
|
||||
|
||||
@[grind =]
|
||||
theorem idxOf_append [BEq α] [LawfulBEq α] {l₁ l₂ : List α} {a : α} :
|
||||
(l₁ ++ l₂).idxOf a = if a ∈ l₁ then l₁.idxOf a else l₂.idxOf a + l₁.length := by
|
||||
@@ -1111,7 +1117,8 @@ theorem idxOf_append [BEq α] [LawfulBEq α] {l₁ l₂ : List α} {a : α} :
|
||||
· rw [if_neg]
|
||||
simpa using h
|
||||
|
||||
|
||||
@[deprecated idxOf_append (since := "2025-01-29")]
|
||||
abbrev indexOf_append := @idxOf_append
|
||||
|
||||
theorem idxOf_eq_length [BEq α] [LawfulBEq α] {l : List α} (h : a ∉ l) : l.idxOf a = l.length := by
|
||||
induction l with
|
||||
@@ -1121,7 +1128,8 @@ theorem idxOf_eq_length [BEq α] [LawfulBEq α] {l : List α} (h : a ∉ l) : l.
|
||||
simp only [idxOf_cons, cond_eq_if, beq_iff_eq]
|
||||
split <;> simp_all
|
||||
|
||||
|
||||
@[deprecated idxOf_eq_length (since := "2025-01-29")]
|
||||
abbrev indexOf_eq_length := @idxOf_eq_length
|
||||
|
||||
theorem idxOf_lt_length_of_mem [BEq α] [EquivBEq α] {l : List α} (h : a ∈ l) : l.idxOf a < l.length := by
|
||||
induction l with
|
||||
@@ -1151,7 +1159,8 @@ theorem idxOf_lt_length_iff [BEq α] [LawfulBEq α] {l : List α} {a : α} :
|
||||
|
||||
grind_pattern idxOf_lt_length_iff => l.idxOf a, l.length
|
||||
|
||||
|
||||
@[deprecated idxOf_lt_length_of_mem (since := "2025-01-29")]
|
||||
abbrev indexOf_lt_length := @idxOf_lt_length_of_mem
|
||||
|
||||
/-! ### finIdxOf?
|
||||
|
||||
@@ -1222,7 +1231,8 @@ The lemmas below should be made consistent with those for `findIdx?` (and proved
|
||||
· rintro w x h rfl
|
||||
contradiction
|
||||
|
||||
|
||||
@[deprecated idxOf?_eq_none_iff (since := "2025-01-29")]
|
||||
abbrev indexOf?_eq_none_iff := @idxOf?_eq_none_iff
|
||||
|
||||
@[simp, grind =]
|
||||
theorem isSome_idxOf? [BEq α] [LawfulBEq α] {l : List α} {a : α} :
|
||||
|
||||
@@ -98,7 +98,7 @@ Example:
|
||||
[10, 14, 14]
|
||||
```
|
||||
-/
|
||||
@[inline, expose] def filterMapTR (f : α → Option β) (l : List α) : List β := go l #[] where
|
||||
@[inline] def filterMapTR (f : α → Option β) (l : List α) : List β := go l #[] where
|
||||
/-- Auxiliary for `filterMap`: `filterMap.go f l = acc.toList ++ filterMap f l` -/
|
||||
@[specialize] go : List α → Array β → List β
|
||||
| [], acc => acc.toList
|
||||
@@ -367,7 +367,7 @@ def modifyTR (l : List α) (i : Nat) (f : α → α) : List α := go l i #[] whe
|
||||
| a :: l, 0, acc => acc.toListAppend (f a :: l)
|
||||
| a :: l, i+1, acc => go l i (acc.push a)
|
||||
|
||||
private theorem modifyTR_go_eq : ∀ l i, modifyTR.go f l i acc = acc.toList ++ modify l i f
|
||||
theorem modifyTR_go_eq : ∀ l i, modifyTR.go f l i acc = acc.toList ++ modify l i f
|
||||
| [], i => by cases i <;> simp [modifyTR.go, modify]
|
||||
| a :: l, 0 => by simp [modifyTR.go, modify]
|
||||
| a :: l, i+1 => by simp [modifyTR.go, modify, modifyTR_go_eq l]
|
||||
@@ -399,7 +399,7 @@ Examples:
|
||||
| _, [], acc => acc.toList
|
||||
| n+1, a :: l, acc => go n l (acc.push a)
|
||||
|
||||
private theorem insertIdxTR_go_eq : ∀ i l, insertIdxTR.go a i l acc = acc.toList ++ insertIdx l i a
|
||||
theorem insertIdxTR_go_eq : ∀ i l, insertIdxTR.go a i l acc = acc.toList ++ insertIdx l i a
|
||||
| 0, l | _+1, [] => by simp [insertIdxTR.go, insertIdx]
|
||||
| n+1, a :: l => by simp [insertIdxTR.go, insertIdx, insertIdxTR_go_eq n l]
|
||||
|
||||
@@ -564,7 +564,24 @@ def zipIdxTR (l : List α) (n : Nat := 0) : List (α × Nat) :=
|
||||
|
||||
/-! ### enumFrom -/
|
||||
|
||||
/-- Tail recursive version of `List.enumFrom`. -/
|
||||
@[deprecated zipIdxTR (since := "2025-01-21")]
|
||||
def enumFromTR (n : Nat) (l : List α) : List (Nat × α) :=
|
||||
let as := l.toArray
|
||||
(as.foldr (fun a (n, acc) => (n-1, (n-1, a) :: acc)) (n + as.size, [])).2
|
||||
|
||||
set_option linter.deprecated false in
|
||||
@[deprecated zipIdx_eq_zipIdxTR (since := "2025-01-21"), csimp]
|
||||
theorem enumFrom_eq_enumFromTR : @enumFrom = @enumFromTR := by
|
||||
funext α n l; simp only [enumFromTR]
|
||||
let f := fun (a : α) (n, acc) => (n-1, (n-1, a) :: acc)
|
||||
let rec go : ∀ l n, l.foldr f (n + l.length, []) = (n, enumFrom n l)
|
||||
| [], n => rfl
|
||||
| a::as, n => by
|
||||
rw [← show _ + as.length = n + (a::as).length from Nat.succ_add .., foldr, go as]
|
||||
simp [enumFrom, f]
|
||||
rw [← Array.foldr_toList]
|
||||
simp +zetaDelta [go]
|
||||
|
||||
/-! ## Other list operations -/
|
||||
|
||||
|
||||
@@ -1429,12 +1429,12 @@ theorem filterMap_eq_map {f : α → β} : filterMap (some ∘ f) = map f := by
|
||||
theorem filterMap_eq_map' {f : α → β} : filterMap (fun x => some (f x)) = map f :=
|
||||
filterMap_eq_map
|
||||
|
||||
theorem filterMap_some_fun : filterMap (some : α → Option α) = id := by
|
||||
@[simp] theorem filterMap_some_fun : filterMap (some : α → Option α) = id := by
|
||||
funext l
|
||||
erw [filterMap_eq_map]
|
||||
simp
|
||||
|
||||
@[simp, grind] theorem filterMap_some {l : List α} : filterMap some l = l := by
|
||||
@[grind] theorem filterMap_some {l : List α} : filterMap some l = l := by
|
||||
rw [filterMap_some_fun, id]
|
||||
|
||||
theorem map_filterMap_some_eq_filter_map_isSome {f : α → Option β} {l : List α} :
|
||||
@@ -1586,7 +1586,9 @@ theorem filterMap_eq_cons_iff {l} {b} {bs} :
|
||||
theorem not_mem_append {a : α} {s t : List α} (h₁ : a ∉ s) (h₂ : a ∉ t) : a ∉ s ++ t :=
|
||||
mt mem_append.1 $ not_or.mpr ⟨h₁, h₂⟩
|
||||
|
||||
|
||||
@[deprecated mem_append (since := "2025-01-13")]
|
||||
theorem mem_append_eq {a : α} {s t : List α} : (a ∈ s ++ t) = (a ∈ s ∨ a ∈ t) :=
|
||||
propext mem_append
|
||||
|
||||
/--
|
||||
See also `eq_append_cons_of_mem`, which proves a stronger version
|
||||
@@ -1696,7 +1698,7 @@ theorem getLast_concat {a : α} : ∀ {l : List α}, getLast (l ++ [a]) (by simp
|
||||
@[simp] theorem append_eq_nil_iff : p ++ q = [] ↔ p = [] ∧ q = [] := by
|
||||
cases p <;> simp
|
||||
|
||||
|
||||
@[deprecated append_eq_nil_iff (since := "2025-01-13")] abbrev append_eq_nil := @append_eq_nil_iff
|
||||
|
||||
theorem nil_eq_append_iff : [] = a ++ b ↔ a = [] ∧ b = [] := by
|
||||
simp
|
||||
@@ -1847,10 +1849,6 @@ theorem append_eq_map_iff {f : α → β} :
|
||||
L₁ ++ L₂ = map f l ↔ ∃ l₁ l₂, l = l₁ ++ l₂ ∧ map f l₁ = L₁ ∧ map f l₂ = L₂ := by
|
||||
rw [eq_comm, map_eq_append_iff]
|
||||
|
||||
@[simp, grind =]
|
||||
theorem sum_append_nat {l₁ l₂ : List Nat} : (l₁ ++ l₂).sum = l₁.sum + l₂.sum := by
|
||||
induction l₁ generalizing l₂ <;> simp_all [Nat.add_assoc]
|
||||
|
||||
/-! ### concat
|
||||
|
||||
Note that `concat_eq_append` is a `@[simp]` lemma, so `concat` should usually not appear in goals.
|
||||
@@ -2150,7 +2148,7 @@ theorem flatMap_eq_foldl {f : α → List β} {l : List α} :
|
||||
intro l'
|
||||
induction l generalizing l'
|
||||
· simp
|
||||
next ih => rw [flatMap_cons, ← append_assoc, ih, foldl_cons]
|
||||
· next ih => rw [flatMap_cons, ← append_assoc, ih, foldl_cons]
|
||||
|
||||
/-! ### replicate -/
|
||||
|
||||
@@ -2266,7 +2264,8 @@ theorem map_const' {l : List α} {b : β} : map (fun _ => b) l = replicate l.len
|
||||
simp only [mem_append, mem_replicate, ne_eq]
|
||||
rintro (⟨-, rfl⟩ | ⟨_, rfl⟩) <;> rfl
|
||||
|
||||
|
||||
@[deprecated replicate_append_replicate (since := "2025-01-16")]
|
||||
abbrev append_replicate_replicate := @replicate_append_replicate
|
||||
|
||||
theorem append_eq_replicate_iff {l₁ l₂ : List α} {a : α} :
|
||||
l₁ ++ l₂ = replicate n a ↔
|
||||
@@ -2654,6 +2653,8 @@ theorem foldl_map_hom {g : α → β} {f : α → α → α} {f' : β → β →
|
||||
· simp
|
||||
· simp [*]
|
||||
|
||||
@[deprecated foldl_map_hom (since := "2025-01-20")] abbrev foldl_map' := @foldl_map_hom
|
||||
|
||||
theorem foldr_map_hom {g : α → β} {f : α → α → α} {f' : β → β → β} {a : α} {l : List α}
|
||||
(h : ∀ x y, f' (g x) (g y) = g (f x y)) :
|
||||
(l.map g).foldr f' (g a) = g (l.foldr f a) := by
|
||||
@@ -2661,6 +2662,8 @@ theorem foldr_map_hom {g : α → β} {f : α → α → α} {f' : β → β →
|
||||
· simp
|
||||
· simp [*]
|
||||
|
||||
@[deprecated foldr_map_hom (since := "2025-01-20")] abbrev foldr_map' := @foldr_map_hom
|
||||
|
||||
@[simp] theorem foldrM_append [Monad m] [LawfulMonad m] {f : α → β → m β} {b : β} {l l' : List α} :
|
||||
(l ++ l').foldrM f b = l'.foldrM f b >>= l.foldrM f := by
|
||||
induction l <;> simp [*]
|
||||
@@ -3728,6 +3731,12 @@ theorem mem_iff_get? {a} {l : List α} : a ∈ l ↔ ∃ n, l.get? n = some a :=
|
||||
|
||||
/-! ### Deprecations -/
|
||||
|
||||
@[deprecated _root_.isSome_getElem? (since := "2024-12-09")]
|
||||
theorem isSome_getElem? {l : List α} {i : Nat} : l[i]?.isSome ↔ i < l.length := by
|
||||
simp
|
||||
|
||||
@[deprecated _root_.isNone_getElem? (since := "2024-12-09")]
|
||||
theorem isNone_getElem? {l : List α} {i : Nat} : l[i]?.isNone ↔ l.length ≤ i := by
|
||||
simp
|
||||
|
||||
end List
|
||||
|
||||
@@ -163,7 +163,8 @@ instance [LT α] [Trans (· < · : α → α → Prop) (· < ·) (· < ·)] :
|
||||
Trans (· < · : List α → List α → Prop) (· < ·) (· < ·) where
|
||||
trans h₁ h₂ := List.lt_trans h₁ h₂
|
||||
|
||||
|
||||
@[deprecated List.le_antisymm (since := "2024-12-13")]
|
||||
protected abbrev lt_antisymm := @List.le_antisymm
|
||||
|
||||
protected theorem lt_of_le_of_lt [LT α]
|
||||
[i₀ : Std.Irrefl (· < · : α → α → Prop)]
|
||||
|
||||
@@ -182,7 +182,8 @@ theorem mapFinIdx_eq_zipIdx_map {l : List α} {f : (i : Nat) → α → (h : i <
|
||||
f i x (by rw [mk_mem_zipIdx_iff_getElem?, getElem?_eq_some_iff] at m; exact m.1) := by
|
||||
apply ext_getElem <;> simp
|
||||
|
||||
|
||||
@[deprecated mapFinIdx_eq_zipIdx_map (since := "2025-01-21")]
|
||||
abbrev mapFinIdx_eq_zipWithIndex_map := @mapFinIdx_eq_zipIdx_map
|
||||
|
||||
@[simp]
|
||||
theorem mapFinIdx_eq_nil_iff {l : List α} {f : (i : Nat) → α → (h : i < l.length) → β} :
|
||||
@@ -219,7 +220,7 @@ theorem mapFinIdx_eq_cons_iff {l : List α} {b : β} {f : (i : Nat) → α → (
|
||||
cases l with
|
||||
| nil => simp
|
||||
| cons x l' =>
|
||||
simp only [mapFinIdx_cons, cons.injEq,
|
||||
simp only [mapFinIdx_cons, cons.injEq,
|
||||
]
|
||||
constructor
|
||||
· rintro ⟨rfl, rfl⟩
|
||||
@@ -383,7 +384,8 @@ theorem mapIdx_eq_zipIdx_map {l : List α} {f : Nat → α → β} :
|
||||
simp only [getElem?_mapIdx, Option.map, getElem?_map, getElem?_zipIdx]
|
||||
split <;> simp
|
||||
|
||||
|
||||
@[deprecated mapIdx_eq_zipIdx_map (since := "2025-01-21")]
|
||||
abbrev mapIdx_eq_enum_map := @mapIdx_eq_zipIdx_map
|
||||
|
||||
@[simp, grind =]
|
||||
theorem mapIdx_cons {l : List α} {a : α} :
|
||||
|
||||
@@ -168,7 +168,7 @@ theorem max?_le_iff [Max α] [LE α]
|
||||
|
||||
-- This could be refactored by designing appropriate typeclasses to replace `le_refl`, `max_eq_or`,
|
||||
-- and `le_min_iff`.
|
||||
theorem max?_eq_some_iff [Max α] [LE α] [anti : Std.Antisymm (· ≤ · : α → α → Prop)]
|
||||
theorem max?_eq_some_iff [Max α] [LE α] [anti : Std.Antisymm ((· : α) ≤ ·)]
|
||||
(le_refl : ∀ a : α, a ≤ a)
|
||||
(max_eq_or : ∀ a b : α, max a b = a ∨ max a b = b)
|
||||
(max_le_iff : ∀ a b c : α, max b c ≤ a ↔ b ≤ a ∧ c ≤ a) {xs : List α} :
|
||||
|
||||
@@ -101,7 +101,7 @@ theorem mapM_eq_reverse_foldlM_cons [Monad m] [LawfulMonad m] {f : α → m β}
|
||||
induction l with
|
||||
| nil => simp
|
||||
| cons a as ih =>
|
||||
simp only [mapM'_cons, ih, bind_map_left, foldlM_cons,
|
||||
simp only [mapM'_cons, ih, bind_map_left, foldlM_cons,
|
||||
foldlM_cons_eq_append, _root_.map_bind, Functor.map_map, reverse_append,
|
||||
reverse_cons, reverse_nil, nil_append, singleton_append]
|
||||
simp [bind_pure_comp]
|
||||
@@ -137,43 +137,6 @@ theorem filterMapM_loop_eq [Monad m] [LawfulMonad m] {f : α → m (Option β)}
|
||||
rw [filterMapM_loop_eq, filterMapM]
|
||||
simp
|
||||
|
||||
/-! ### zipWithM -/
|
||||
|
||||
/--
|
||||
Applies the monadic action `f` to the corresponding elements of two lists, left-to-right, stopping
|
||||
at the end of the shorter list. `zipWithM' f as bs` is equivalent to `mapM id (zipWith f as bs)`
|
||||
for lawful `Monad` instances.
|
||||
-/
|
||||
@[expose]
|
||||
def zipWithM' {m : Type u → Type v} [Monad m] {α : Type w} {β : Type x} {γ : Type u} (f : α → β → m γ) : (xs : List α) → (ys : List β) → m (List γ)
|
||||
| x::xs, y::ys => do
|
||||
let z ← f x y
|
||||
let zs ← zipWithM' f xs ys
|
||||
pure (z :: zs)
|
||||
| _, _ => pure []
|
||||
|
||||
@[simp, grind =] theorem zipWithM'_nil_left [Monad m] {f : α → β → m γ} : zipWithM' f [] l = pure (f := m) [] := by simp only [zipWithM']
|
||||
@[simp, grind =] theorem zipWithM'_nil_right [Monad m] {f : α → β → m γ} : zipWithM' f l [] = pure (f := m) [] := by simp only [zipWithM']
|
||||
@[simp, grind =] theorem zipWithM'_cons_cons [Monad m] {f : α → β → m γ} :
|
||||
zipWithM' f (a :: as) (b :: bs) = do return (← f a b) :: (← zipWithM' f as bs) := by simp only [zipWithM']
|
||||
|
||||
@[grind =]
|
||||
theorem zipWithM'_eq_zipWithM [Monad m] [LawfulMonad m] {f : α → β → m γ} {l : List α} {l' : List β} :
|
||||
zipWithM' f l l' = zipWithM f l l' := by simp [zipWithM, go l l' #[]] where
|
||||
go l l' acc : zipWithM.loop f l l' acc = return acc.toList ++ (← zipWithM' f l l') := by
|
||||
fun_induction zipWithM.loop <;> simp [zipWithM', *]
|
||||
|
||||
@[simp, grind =] theorem zipWithM_nil_left [Monad m] {f : α → β → m γ} : zipWithM f [] l = pure (f := m) [] := rfl
|
||||
@[simp, grind =] theorem zipWithM_nil_right [Monad m] {f : α → β → m γ} : zipWithM f l [] = pure (f := m) [] := by simp only [zipWithM, zipWithM.loop]
|
||||
@[simp, grind =] theorem zipWithM_cons_cons [Monad m] [LawfulMonad m] {f : α → β → m γ} :
|
||||
zipWithM f (a :: as) (b :: bs) = do return (← f a b) :: (← zipWithM f as bs) := by
|
||||
simp [← zipWithM'_eq_zipWithM]
|
||||
|
||||
@[simp, grind =]
|
||||
theorem zipWithM'_eq_mapM_id_zipWith {m : Type v → Type w} [Monad m] [LawfulMonad m] {f : α → β → m γ} {as : List α} {bs : List β} :
|
||||
zipWithM' f as bs = mapM id (zipWith f as bs) := by
|
||||
fun_induction zipWithM' <;> simp [zipWith, *]
|
||||
|
||||
/-! ### flatMapM -/
|
||||
|
||||
@[simp, grind =] theorem flatMapM_nil [Monad m] {f : α → m (List β)} : [].flatMapM f = pure [] := rfl
|
||||
@@ -261,7 +224,13 @@ theorem foldrM_filter [Monad m] [LawfulMonad m] {p : α → Bool} {g : α → β
|
||||
|
||||
/-! ### forM -/
|
||||
|
||||
@[deprecated forM_nil (since := "2025-01-31")]
|
||||
theorem forM_nil' [Monad m] : ([] : List α).forM f = (pure .unit : m PUnit) := rfl
|
||||
|
||||
@[deprecated forM_cons (since := "2025-01-31")]
|
||||
theorem forM_cons' [Monad m] :
|
||||
(a::as).forM f = (f a >>= fun _ => as.forM f : m PUnit) :=
|
||||
List.forM_cons
|
||||
|
||||
@[simp, grind =] theorem forM_append [Monad m] [LawfulMonad m] {l₁ l₂ : List α} {f : α → m PUnit} :
|
||||
forM (l₁ ++ l₂) f = (do forM l₁ f; forM l₂ f) := by
|
||||
|
||||
@@ -90,6 +90,9 @@ theorem map_sub_range' {a s : Nat} (h : a ≤ s) (n : Nat) :
|
||||
rintro rfl
|
||||
omega
|
||||
|
||||
@[deprecated range'_eq_singleton_iff (since := "2025-01-29")]
|
||||
abbrev range'_eq_singleton := @range'_eq_singleton_iff
|
||||
|
||||
theorem range'_eq_append_iff : range' s n = xs ++ ys ↔ ∃ k, k ≤ n ∧ xs = range' s k ∧ ys = range' (s + k) (n - k) := by
|
||||
induction n generalizing s xs ys with
|
||||
| zero => simp
|
||||
@@ -227,6 +230,152 @@ theorem count_range {a n} :
|
||||
rw [range_eq_range', count_range_1']
|
||||
simp
|
||||
|
||||
/-! ### iota -/
|
||||
|
||||
section
|
||||
set_option linter.deprecated false
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20")]
|
||||
theorem iota_eq_reverse_range' : ∀ n : Nat, iota n = reverse (range' 1 n)
|
||||
| 0 => rfl
|
||||
| n + 1 => by simp [iota, range'_concat, iota_eq_reverse_range' n, reverse_append, Nat.add_comm]
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
|
||||
theorem length_iota (n : Nat) : length (iota n) = n := by simp [iota_eq_reverse_range']
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
|
||||
theorem iota_eq_nil {n : Nat} : iota n = [] ↔ n = 0 := by
|
||||
cases n <;> simp
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20")]
|
||||
theorem iota_ne_nil {n : Nat} : iota n ≠ [] ↔ n ≠ 0 := by
|
||||
cases n <;> simp
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
|
||||
theorem mem_iota {m n : Nat} : m ∈ iota n ↔ 0 < m ∧ m ≤ n := by
|
||||
simp [iota_eq_reverse_range', Nat.add_comm, Nat.lt_succ]
|
||||
omega
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
|
||||
theorem iota_inj : iota n = iota n' ↔ n = n' := by
|
||||
constructor
|
||||
· intro h
|
||||
have h' := congrArg List.length h
|
||||
simp at h'
|
||||
exact h'
|
||||
· rintro rfl
|
||||
simp
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20")]
|
||||
theorem iota_eq_cons_iff : iota n = a :: xs ↔ n = a ∧ 0 < n ∧ xs = iota (n - 1) := by
|
||||
simp [iota_eq_reverse_range']
|
||||
simp [range'_eq_append_iff, reverse_eq_iff]
|
||||
constructor
|
||||
· rintro ⟨k, h, rfl, h'⟩
|
||||
rw [eq_comm, range'_eq_singleton] at h'
|
||||
simp only [reverse_inj, range'_inj, or_true, and_true]
|
||||
omega
|
||||
· rintro ⟨rfl, h, rfl⟩
|
||||
refine ⟨n - 1, by simp, rfl, ?_⟩
|
||||
rw [eq_comm, range'_eq_singleton]
|
||||
omega
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20")]
|
||||
theorem iota_eq_append_iff : iota n = xs ++ ys ↔ ∃ k, k ≤ n ∧ xs = (range' (k + 1) (n - k)).reverse ∧ ys = iota k := by
|
||||
simp only [iota_eq_reverse_range']
|
||||
rw [reverse_eq_append_iff]
|
||||
rw [range'_eq_append_iff]
|
||||
simp only [reverse_eq_iff]
|
||||
constructor
|
||||
· rintro ⟨k, h, rfl, rfl⟩
|
||||
simp; omega
|
||||
· rintro ⟨k, h, rfl, rfl⟩
|
||||
exact ⟨k, by simp; omega⟩
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20")]
|
||||
theorem pairwise_gt_iota (n : Nat) : Pairwise (· > ·) (iota n) := by
|
||||
simpa only [iota_eq_reverse_range', pairwise_reverse] using pairwise_lt_range'
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20")]
|
||||
theorem nodup_iota (n : Nat) : Nodup (iota n) :=
|
||||
(pairwise_gt_iota n).imp Nat.ne_of_gt
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
|
||||
theorem head?_iota (n : Nat) : (iota n).head? = if n = 0 then none else some n := by
|
||||
cases n <;> simp
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
|
||||
theorem head_iota (n : Nat) (h) : (iota n).head h = n := by
|
||||
cases n with
|
||||
| zero => simp at h
|
||||
| succ n => simp
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
|
||||
theorem tail_iota (n : Nat) : (iota n).tail = iota (n - 1) := by
|
||||
cases n <;> simp
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
|
||||
theorem reverse_iota : reverse (iota n) = range' 1 n := by
|
||||
induction n with
|
||||
| zero => simp
|
||||
| succ n ih =>
|
||||
rw [iota_succ, reverse_cons, ih, range'_1_concat, Nat.add_comm]
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
|
||||
theorem getLast?_iota (n : Nat) : (iota n).getLast? = if n = 0 then none else some 1 := by
|
||||
rw [getLast?_eq_head?_reverse]
|
||||
simp [head?_range']
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
|
||||
theorem getLast_iota (n : Nat) (h) : (iota n).getLast h = 1 := by
|
||||
rw [getLast_eq_head_reverse]
|
||||
simp
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20")]
|
||||
theorem find?_iota_eq_none {n : Nat} {p : Nat → Bool} :
|
||||
(iota n).find? p = none ↔ ∀ i, 0 < i → i ≤ n → !p i := by
|
||||
simp
|
||||
|
||||
@[deprecated "Use `(List.range' 1 n).reverse` instead of `iota n`." (since := "2025-01-20"), simp]
|
||||
theorem find?_iota_eq_some {n : Nat} {i : Nat} {p : Nat → Bool} :
|
||||
(iota n).find? p = some i ↔ p i ∧ i ∈ iota n ∧ ∀ j, i < j → j ≤ n → !p j := by
|
||||
rw [find?_eq_some_iff_append]
|
||||
simp only [iota_eq_reverse_range', reverse_eq_append_iff, reverse_cons, append_assoc, cons_append,
|
||||
nil_append, Bool.not_eq_eq_eq_not, Bool.not_true, exists_and_right, mem_reverse, mem_range'_1,
|
||||
and_congr_right_iff]
|
||||
intro h
|
||||
constructor
|
||||
· rintro ⟨as, ⟨xs, h⟩, h'⟩
|
||||
constructor
|
||||
· replace h : i ∈ range' 1 n := by
|
||||
rw [h]
|
||||
exact mem_append_cons_self
|
||||
simpa using h
|
||||
· rw [range'_eq_append_iff] at h
|
||||
simp [reverse_eq_iff] at h
|
||||
obtain ⟨k, h₁, rfl, h₂⟩ := h
|
||||
rw [eq_comm, range'_eq_cons_iff, reverse_eq_iff] at h₂
|
||||
obtain ⟨rfl, -, rfl⟩ := h₂
|
||||
intro j j₁ j₂
|
||||
apply h'
|
||||
simp; omega
|
||||
· rintro ⟨⟨i₁, i₂⟩, h⟩
|
||||
refine ⟨(range' (i+1) (n-i)).reverse, ⟨(range' 1 (i-1)).reverse, ?_⟩, ?_⟩
|
||||
· simp [← range'_succ]
|
||||
rw [range'_eq_append_iff]
|
||||
refine ⟨i-1, ?_⟩
|
||||
constructor
|
||||
· omega
|
||||
· simp
|
||||
omega
|
||||
· simp
|
||||
intros a a₁ a₂
|
||||
apply h
|
||||
· omega
|
||||
· omega
|
||||
|
||||
end
|
||||
|
||||
/-! ### zipIdx -/
|
||||
|
||||
@[simp, grind =]
|
||||
@@ -363,4 +512,237 @@ theorem zipIdx_eq_append_iff {l : List α} {k : Nat} :
|
||||
refine ⟨l₁', l₂', range' k l₁'.length, range' (k + l₁'.length) l₂'.length, ?_⟩
|
||||
simp
|
||||
|
||||
/-! ### enumFrom -/
|
||||
|
||||
section
|
||||
set_option linter.deprecated false
|
||||
|
||||
@[deprecated zipIdx_singleton (since := "2025-01-21"), simp]
|
||||
theorem enumFrom_singleton (x : α) (n : Nat) : enumFrom n [x] = [(n, x)] :=
|
||||
rfl
|
||||
|
||||
@[deprecated head?_zipIdx (since := "2025-01-21"), simp]
|
||||
theorem head?_enumFrom (n : Nat) (l : List α) :
|
||||
(enumFrom n l).head? = l.head?.map fun a => (n, a) := by
|
||||
simp [head?_eq_getElem?]
|
||||
|
||||
@[deprecated getLast?_zipIdx (since := "2025-01-21"), simp]
|
||||
theorem getLast?_enumFrom (n : Nat) (l : List α) :
|
||||
(enumFrom n l).getLast? = l.getLast?.map fun a => (n + l.length - 1, a) := by
|
||||
simp [getLast?_eq_getElem?]
|
||||
cases l <;> simp
|
||||
|
||||
@[deprecated mk_add_mem_zipIdx_iff_getElem? (since := "2025-01-21")]
|
||||
theorem mk_add_mem_enumFrom_iff_getElem? {n i : Nat} {x : α} {l : List α} :
|
||||
(n + i, x) ∈ enumFrom n l ↔ l[i]? = some x := by
|
||||
simp [mem_iff_get?]
|
||||
|
||||
@[deprecated mk_mem_zipIdx_iff_le_and_getElem?_sub (since := "2025-01-21")]
|
||||
theorem mk_mem_enumFrom_iff_le_and_getElem?_sub {n i : Nat} {x : α} {l : List α} :
|
||||
(i, x) ∈ enumFrom n l ↔ n ≤ i ∧ l[i - n]? = some x := by
|
||||
if h : n ≤ i then
|
||||
rcases Nat.exists_eq_add_of_le h with ⟨i, rfl⟩
|
||||
simp [mk_add_mem_enumFrom_iff_getElem?, Nat.add_sub_cancel_left]
|
||||
else
|
||||
have : ∀ k, n + k ≠ i := by rintro k rfl; simp at h
|
||||
simp [h, mem_iff_get?, this]
|
||||
|
||||
@[deprecated le_snd_of_mem_zipIdx (since := "2025-01-21")]
|
||||
theorem le_fst_of_mem_enumFrom {x : Nat × α} {n : Nat} {l : List α} (h : x ∈ enumFrom n l) :
|
||||
n ≤ x.1 :=
|
||||
(mk_mem_enumFrom_iff_le_and_getElem?_sub.1 h).1
|
||||
|
||||
@[deprecated snd_lt_add_of_mem_zipIdx (since := "2025-01-21")]
|
||||
theorem fst_lt_add_of_mem_enumFrom {x : Nat × α} {n : Nat} {l : List α} (h : x ∈ enumFrom n l) :
|
||||
x.1 < n + length l := by
|
||||
rcases mem_iff_get.1 h with ⟨i, rfl⟩
|
||||
simpa using i.isLt
|
||||
|
||||
@[deprecated map_zipIdx (since := "2025-01-21")]
|
||||
theorem map_enumFrom (f : α → β) (n : Nat) (l : List α) :
|
||||
map (Prod.map id f) (enumFrom n l) = enumFrom n (map f l) := by
|
||||
induction l generalizing n <;> simp_all
|
||||
|
||||
@[deprecated fst_mem_of_mem_zipIdx (since := "2025-01-21")]
|
||||
theorem snd_mem_of_mem_enumFrom {x : Nat × α} {n : Nat} {l : List α} (h : x ∈ enumFrom n l) : x.2 ∈ l :=
|
||||
enumFrom_map_snd n l ▸ mem_map_of_mem h
|
||||
|
||||
@[deprecated fst_eq_of_mem_zipIdx (since := "2025-01-21")]
|
||||
theorem snd_eq_of_mem_enumFrom {x : Nat × α} {n : Nat} {l : List α} (h : x ∈ enumFrom n l) :
|
||||
x.2 = l[x.1 - n]'(by have := le_fst_of_mem_enumFrom h; have := fst_lt_add_of_mem_enumFrom h; omega) := by
|
||||
induction l generalizing n with
|
||||
| nil => cases h
|
||||
| cons hd tl ih =>
|
||||
cases h with
|
||||
| head _ => simp
|
||||
| tail h m =>
|
||||
specialize ih m
|
||||
have : x.1 - n = x.1 - (n + 1) + 1 := by
|
||||
have := le_fst_of_mem_enumFrom m
|
||||
omega
|
||||
simp [this, ih]
|
||||
|
||||
@[deprecated mem_zipIdx (since := "2025-01-21")]
|
||||
theorem mem_enumFrom {x : α} {i j : Nat} {xs : List α} (h : (i, x) ∈ xs.enumFrom j) :
|
||||
j ≤ i ∧ i < j + xs.length ∧
|
||||
x = xs[i - j]'(by have := le_fst_of_mem_enumFrom h; have := fst_lt_add_of_mem_enumFrom h; omega) :=
|
||||
⟨le_fst_of_mem_enumFrom h, fst_lt_add_of_mem_enumFrom h, snd_eq_of_mem_enumFrom h⟩
|
||||
|
||||
@[deprecated zipIdx_map (since := "2025-01-21")]
|
||||
theorem enumFrom_map (n : Nat) (l : List α) (f : α → β) :
|
||||
enumFrom n (l.map f) = (enumFrom n l).map (Prod.map id f) := by
|
||||
induction l with
|
||||
| nil => rfl
|
||||
| cons hd tl IH =>
|
||||
rw [map_cons, enumFrom_cons', enumFrom_cons', map_cons, map_map, IH, map_map]
|
||||
rfl
|
||||
|
||||
@[deprecated zipIdx_append (since := "2025-01-21")]
|
||||
theorem enumFrom_append (xs ys : List α) (n : Nat) :
|
||||
enumFrom n (xs ++ ys) = enumFrom n xs ++ enumFrom (n + xs.length) ys := by
|
||||
induction xs generalizing ys n with
|
||||
| nil => simp
|
||||
| cons x xs IH =>
|
||||
rw [cons_append, enumFrom_cons, IH, ← cons_append, ← enumFrom_cons, length, Nat.add_right_comm,
|
||||
Nat.add_assoc]
|
||||
|
||||
@[deprecated zipIdx_eq_cons_iff (since := "2025-01-21")]
|
||||
theorem enumFrom_eq_cons_iff {l : List α} {n : Nat} :
|
||||
l.enumFrom n = x :: l' ↔ ∃ a as, l = a :: as ∧ x = (n, a) ∧ l' = enumFrom (n + 1) as := by
|
||||
rw [enumFrom_eq_zip_range', zip_eq_cons_iff]
|
||||
constructor
|
||||
· rintro ⟨l₁, l₂, h, rfl, rfl⟩
|
||||
rw [range'_eq_cons_iff] at h
|
||||
obtain ⟨rfl, -, rfl⟩ := h
|
||||
exact ⟨x.2, l₂, by simp [enumFrom_eq_zip_range']⟩
|
||||
· rintro ⟨a, as, rfl, rfl, rfl⟩
|
||||
refine ⟨range' (n+1) as.length, as, ?_⟩
|
||||
simp [enumFrom_eq_zip_range', range'_succ]
|
||||
|
||||
@[deprecated zipIdx_eq_append_iff (since := "2025-01-21")]
|
||||
theorem enumFrom_eq_append_iff {l : List α} {n : Nat} :
|
||||
l.enumFrom n = l₁ ++ l₂ ↔
|
||||
∃ l₁' l₂', l = l₁' ++ l₂' ∧ l₁ = l₁'.enumFrom n ∧ l₂ = l₂'.enumFrom (n + l₁'.length) := by
|
||||
rw [enumFrom_eq_zip_range', zip_eq_append_iff]
|
||||
constructor
|
||||
· rintro ⟨ws, xs, ys, zs, h, h', rfl, rfl, rfl⟩
|
||||
rw [range'_eq_append_iff] at h'
|
||||
obtain ⟨k, -, rfl, rfl⟩ := h'
|
||||
simp only [length_range'] at h
|
||||
obtain rfl := h
|
||||
refine ⟨ys, zs, rfl, ?_⟩
|
||||
simp only [enumFrom_eq_zip_range', length_append, true_and]
|
||||
congr
|
||||
omega
|
||||
· rintro ⟨l₁', l₂', rfl, rfl, rfl⟩
|
||||
simp only [enumFrom_eq_zip_range']
|
||||
refine ⟨range' n l₁'.length, range' (n + l₁'.length) l₂'.length, l₁', l₂', ?_⟩
|
||||
simp
|
||||
|
||||
end
|
||||
|
||||
/-! ### enum -/
|
||||
|
||||
section
|
||||
set_option linter.deprecated false
|
||||
|
||||
@[deprecated zipIdx_eq_nil_iff (since := "2025-01-21"), simp]
|
||||
theorem enum_eq_nil_iff {l : List α} : List.enum l = [] ↔ l = [] := enumFrom_eq_nil
|
||||
|
||||
@[deprecated zipIdx_singleton (since := "2025-01-21"), simp]
|
||||
theorem enum_singleton (x : α) : enum [x] = [(0, x)] := rfl
|
||||
|
||||
@[deprecated length_zipIdx (since := "2025-01-21"), simp]
|
||||
theorem enum_length : (enum l).length = l.length :=
|
||||
enumFrom_length
|
||||
|
||||
@[deprecated getElem?_zipIdx (since := "2025-01-21"), simp]
|
||||
theorem getElem?_enum (l : List α) (i : Nat) : (enum l)[i]? = l[i]?.map fun a => (i, a) := by
|
||||
rw [enum, getElem?_enumFrom, Nat.zero_add]
|
||||
|
||||
@[deprecated getElem_zipIdx (since := "2025-01-21"), simp]
|
||||
theorem getElem_enum (l : List α) (i : Nat) (h : i < l.enum.length) :
|
||||
l.enum[i] = (i, l[i]'(by simpa [enum_length] using h)) := by
|
||||
simp [enum]
|
||||
|
||||
@[deprecated head?_zipIdx (since := "2025-01-21"), simp] theorem head?_enum (l : List α) :
|
||||
l.enum.head? = l.head?.map fun a => (0, a) := by
|
||||
simp [head?_eq_getElem?]
|
||||
|
||||
@[deprecated getLast?_zipIdx (since := "2025-01-21"), simp]
|
||||
theorem getLast?_enum (l : List α) :
|
||||
l.enum.getLast? = l.getLast?.map fun a => (l.length - 1, a) := by
|
||||
simp [getLast?_eq_getElem?]
|
||||
|
||||
@[deprecated tail_zipIdx (since := "2025-01-21"), simp]
|
||||
theorem tail_enum (l : List α) : (enum l).tail = enumFrom 1 l.tail := by
|
||||
simp [enum]
|
||||
|
||||
@[deprecated mk_mem_zipIdx_iff_getElem? (since := "2025-01-21")]
|
||||
theorem mk_mem_enum_iff_getElem? {i : Nat} {x : α} {l : List α} : (i, x) ∈ enum l ↔ l[i]? = some x := by
|
||||
simp [enum, mk_mem_enumFrom_iff_le_and_getElem?_sub]
|
||||
|
||||
@[deprecated mem_zipIdx_iff_getElem? (since := "2025-01-21")]
|
||||
theorem mem_enum_iff_getElem? {x : Nat × α} {l : List α} : x ∈ enum l ↔ l[x.1]? = some x.2 :=
|
||||
mk_mem_enum_iff_getElem?
|
||||
|
||||
@[deprecated snd_lt_of_mem_zipIdx (since := "2025-01-21")]
|
||||
theorem fst_lt_of_mem_enum {x : Nat × α} {l : List α} (h : x ∈ enum l) : x.1 < length l := by
|
||||
simpa using fst_lt_add_of_mem_enumFrom h
|
||||
|
||||
@[deprecated fst_mem_of_mem_zipIdx (since := "2025-01-21")]
|
||||
theorem snd_mem_of_mem_enum {x : Nat × α} {l : List α} (h : x ∈ enum l) : x.2 ∈ l :=
|
||||
snd_mem_of_mem_enumFrom h
|
||||
|
||||
@[deprecated fst_eq_of_mem_zipIdx (since := "2025-01-21")]
|
||||
theorem snd_eq_of_mem_enum {x : Nat × α} {l : List α} (h : x ∈ enum l) :
|
||||
x.2 = l[x.1]'(fst_lt_of_mem_enum h) :=
|
||||
snd_eq_of_mem_enumFrom h
|
||||
|
||||
@[deprecated mem_zipIdx (since := "2025-01-21")]
|
||||
theorem mem_enum {x : α} {i : Nat} {xs : List α} (h : (i, x) ∈ xs.enum) :
|
||||
i < xs.length ∧ x = xs[i]'(fst_lt_of_mem_enum h) :=
|
||||
by simpa using mem_enumFrom h
|
||||
|
||||
@[deprecated map_zipIdx (since := "2025-01-21")]
|
||||
theorem map_enum (f : α → β) (l : List α) : map (Prod.map id f) (enum l) = enum (map f l) :=
|
||||
map_enumFrom f 0 l
|
||||
|
||||
@[deprecated zipIdx_map_snd (since := "2025-01-21"), simp]
|
||||
theorem enum_map_fst (l : List α) : map Prod.fst (enum l) = range l.length := by
|
||||
simp only [enum, enumFrom_map_fst, range_eq_range']
|
||||
|
||||
@[deprecated zipIdx_map_fst (since := "2025-01-21"), simp]
|
||||
theorem enum_map_snd (l : List α) : map Prod.snd (enum l) = l :=
|
||||
enumFrom_map_snd _ _
|
||||
|
||||
@[deprecated zipIdx_map (since := "2025-01-21")]
|
||||
theorem enum_map (l : List α) (f : α → β) : (l.map f).enum = l.enum.map (Prod.map id f) :=
|
||||
enumFrom_map _ _ _
|
||||
|
||||
@[deprecated zipIdx_append (since := "2025-01-21")]
|
||||
theorem enum_append (xs ys : List α) : enum (xs ++ ys) = enum xs ++ enumFrom xs.length ys := by
|
||||
simp [enum, enumFrom_append]
|
||||
|
||||
@[deprecated zipIdx_eq_zip_range' (since := "2025-01-21")]
|
||||
theorem enum_eq_zip_range (l : List α) : l.enum = (range l.length).zip l :=
|
||||
zip_of_prod (enum_map_fst _) (enum_map_snd _)
|
||||
|
||||
@[deprecated unzip_zipIdx_eq_prod (since := "2025-01-21"), simp]
|
||||
theorem unzip_enum_eq_prod (l : List α) : l.enum.unzip = (range l.length, l) := by
|
||||
simp only [enum_eq_zip_range, unzip_zip, length_range]
|
||||
|
||||
@[deprecated zipIdx_eq_cons_iff (since := "2025-01-21")]
|
||||
theorem enum_eq_cons_iff {l : List α} :
|
||||
l.enum = x :: l' ↔ ∃ a as, l = a :: as ∧ x = (0, a) ∧ l' = enumFrom 1 as := by
|
||||
rw [enum, enumFrom_eq_cons_iff]
|
||||
|
||||
@[deprecated zipIdx_eq_append_iff (since := "2025-01-21")]
|
||||
theorem enum_eq_append_iff {l : List α} :
|
||||
l.enum = l₁ ++ l₂ ↔
|
||||
∃ l₁' l₂', l = l₁' ++ l₂' ∧ l₁ = l₁'.enum ∧ l₂ = l₂'.enumFrom l₁'.length := by
|
||||
simp [enum, enumFrom_eq_append_iff]
|
||||
|
||||
end
|
||||
|
||||
end List
|
||||
|
||||
@@ -61,8 +61,8 @@ theorem getElem?_take_eq_none {l : List α} {i j : Nat} (h : i ≤ j) :
|
||||
@[grind =] theorem getElem?_take {l : List α} {i j : Nat} :
|
||||
(l.take i)[j]? = if j < i then l[j]? else none := by
|
||||
split
|
||||
next h => exact getElem?_take_of_lt h
|
||||
next h => exact getElem?_take_eq_none (Nat.le_of_not_lt h)
|
||||
· next h => exact getElem?_take_of_lt h
|
||||
· next h => exact getElem?_take_eq_none (Nat.le_of_not_lt h)
|
||||
|
||||
theorem head?_take {l : List α} {i : Nat} :
|
||||
(l.take i).head? = if i = 0 then none else l.head? := by
|
||||
@@ -114,7 +114,7 @@ theorem take_set_of_le {a : α} {i j : Nat} {l : List α} (h : j ≤ i) :
|
||||
List.ext_getElem? fun i => by
|
||||
rw [getElem?_take, getElem?_take]
|
||||
split
|
||||
next h' => rw [getElem?_set_ne (by omega)]
|
||||
· next h' => rw [getElem?_set_ne (by omega)]
|
||||
· rfl
|
||||
|
||||
@[deprecated take_set_of_le (since := "2025-02-04")]
|
||||
@@ -384,7 +384,7 @@ theorem take_reverse {α} {xs : List α} {i : Nat} :
|
||||
by_cases h : i ≤ xs.length
|
||||
· induction xs generalizing i <;>
|
||||
simp only [reverse_cons, drop, reverse_nil, Nat.zero_sub, length, take_nil]
|
||||
rename_i hd tl xs_ih
|
||||
next hd tl xs_ih =>
|
||||
cases Nat.lt_or_eq_of_le h with
|
||||
| inl h' =>
|
||||
have h' := Nat.le_of_succ_le_succ h'
|
||||
|
||||
@@ -213,7 +213,7 @@ theorem pairwise_append_comm {R : α → α → Prop} (s : ∀ {x y}, R x y →
|
||||
@[grind] theorem Pairwise.take {l : List α} {i : Nat} (h : List.Pairwise R l) : List.Pairwise R (l.take i) :=
|
||||
h.sublist (take_sublist _ _)
|
||||
|
||||
-- This theorem is not annotated with `grind` because it leads to a loop of instantiations with `Pairwise.sublist`.
|
||||
@[grind =]
|
||||
theorem pairwise_iff_forall_sublist : l.Pairwise R ↔ (∀ {a b}, [a,b] <+ l → R a b) := by
|
||||
induction l with
|
||||
| nil => simp
|
||||
@@ -232,10 +232,6 @@ theorem pairwise_iff_forall_sublist : l.Pairwise R ↔ (∀ {a b}, [a,b] <+ l
|
||||
intro a b hab
|
||||
apply h; exact hab.cons _
|
||||
|
||||
theorem pairwise_of_forall_sublist (g : ∀ {a b}, [a,b] <+ l → R a b) : l.Pairwise R := pairwise_iff_forall_sublist.mpr g
|
||||
|
||||
theorem Pairwise.forall_sublist (h : l.Pairwise R) : ∀ {a b}, [a,b] <+ l → R a b := pairwise_iff_forall_sublist.mp h
|
||||
|
||||
theorem Pairwise.rel_of_mem_take_of_mem_drop
|
||||
{l : List α} (h : l.Pairwise R) (hx : x ∈ l.take i) (hy : y ∈ l.drop i) : R x y := by
|
||||
apply pairwise_iff_forall_sublist.mp h
|
||||
|
||||
@@ -39,9 +39,13 @@ theorem range'_succ {s n step} : range' s (n + 1) step = s :: range' (s + step)
|
||||
@[simp] theorem range'_eq_nil_iff : range' s n step = [] ↔ n = 0 := by
|
||||
rw [← length_eq_zero_iff, length_range']
|
||||
|
||||
@[deprecated range'_eq_nil_iff (since := "2025-01-29")] abbrev range'_eq_nil := @range'_eq_nil_iff
|
||||
|
||||
theorem range'_ne_nil_iff (s : Nat) {n step : Nat} : range' s n step ≠ [] ↔ n ≠ 0 := by
|
||||
cases n <;> simp
|
||||
|
||||
@[deprecated range'_ne_nil_iff (since := "2025-01-29")] abbrev range'_ne_nil := @range'_ne_nil_iff
|
||||
|
||||
@[simp] theorem range'_zero : range' s 0 step = [] := by
|
||||
simp
|
||||
|
||||
@@ -291,4 +295,107 @@ theorem zipIdx_eq_map_add {l : List α} {i : Nat} :
|
||||
| nil => rfl
|
||||
| cons _ _ ih => simp [ih (i := i + 1), zipIdx_succ, Nat.add_assoc, Nat.add_comm 1]
|
||||
|
||||
/-! ### enumFrom -/
|
||||
|
||||
section
|
||||
set_option linter.deprecated false
|
||||
|
||||
@[deprecated zipIdx_eq_nil_iff (since := "2025-01-21"), simp]
|
||||
theorem enumFrom_eq_nil {n : Nat} {l : List α} : List.enumFrom n l = [] ↔ l = [] := by
|
||||
cases l <;> simp
|
||||
|
||||
@[deprecated length_zipIdx (since := "2025-01-21"), simp]
|
||||
theorem enumFrom_length : ∀ {n} {l : List α}, (enumFrom n l).length = l.length
|
||||
| _, [] => rfl
|
||||
| _, _ :: _ => congrArg Nat.succ enumFrom_length
|
||||
|
||||
@[deprecated getElem?_zipIdx (since := "2025-01-21"), simp]
|
||||
theorem getElem?_enumFrom :
|
||||
∀ i (l : List α) j, (enumFrom i l)[j]? = l[j]?.map fun a => (i + j, a)
|
||||
| _, [], _ => rfl
|
||||
| _, _ :: _, 0 => by simp
|
||||
| n, _ :: l, m + 1 => by
|
||||
simp only [enumFrom_cons, getElem?_cons_succ]
|
||||
exact (getElem?_enumFrom (n + 1) l m).trans <| by rw [Nat.add_right_comm]; rfl
|
||||
|
||||
@[deprecated getElem_zipIdx (since := "2025-01-21"), simp]
|
||||
theorem getElem_enumFrom (l : List α) (n) (i : Nat) (h : i < (l.enumFrom n).length) :
|
||||
(l.enumFrom n)[i] = (n + i, l[i]'(by simpa [enumFrom_length] using h)) := by
|
||||
simp only [enumFrom_length] at h
|
||||
rw [getElem_eq_getElem?_get]
|
||||
simp only [getElem?_enumFrom, getElem?_eq_getElem h]
|
||||
simp
|
||||
|
||||
@[deprecated tail_zipIdx (since := "2025-01-21"), simp]
|
||||
theorem tail_enumFrom (l : List α) (n : Nat) : (enumFrom n l).tail = enumFrom (n + 1) l.tail := by
|
||||
induction l generalizing n with
|
||||
| nil => simp
|
||||
| cons _ l ih => simp [enumFrom_cons]
|
||||
|
||||
@[deprecated map_snd_add_zipIdx_eq_zipIdx (since := "2025-01-21"), simp]
|
||||
theorem map_fst_add_enumFrom_eq_enumFrom (l : List α) (n k : Nat) :
|
||||
map (Prod.map (· + n) id) (enumFrom k l) = enumFrom (n + k) l :=
|
||||
ext_getElem? fun i ↦ by simp [Nat.add_comm, Nat.add_left_comm]; rfl
|
||||
|
||||
@[deprecated map_snd_add_zipIdx_eq_zipIdx (since := "2025-01-21"), simp]
|
||||
theorem map_fst_add_enum_eq_enumFrom (l : List α) (n : Nat) :
|
||||
map (Prod.map (· + n) id) (enum l) = enumFrom n l :=
|
||||
map_fst_add_enumFrom_eq_enumFrom l _ _
|
||||
|
||||
@[deprecated zipIdx_cons' (since := "2025-01-21"), simp]
|
||||
theorem enumFrom_cons' (n : Nat) (x : α) (xs : List α) :
|
||||
enumFrom n (x :: xs) = (n, x) :: (enumFrom n xs).map (Prod.map (· + 1) id) := by
|
||||
rw [enumFrom_cons, Nat.add_comm, ← map_fst_add_enumFrom_eq_enumFrom]
|
||||
|
||||
@[deprecated zipIdx_map_snd (since := "2025-01-21"), simp]
|
||||
theorem enumFrom_map_fst (n) :
|
||||
∀ (l : List α), map Prod.fst (enumFrom n l) = range' n l.length
|
||||
| [] => rfl
|
||||
| _ :: _ => congrArg (cons _) (enumFrom_map_fst _ _)
|
||||
|
||||
@[deprecated zipIdx_map_fst (since := "2025-01-21"), simp]
|
||||
theorem enumFrom_map_snd : ∀ (n) (l : List α), map Prod.snd (enumFrom n l) = l
|
||||
| _, [] => rfl
|
||||
| _, _ :: _ => congrArg (cons _) (enumFrom_map_snd _ _)
|
||||
|
||||
@[deprecated zipIdx_eq_zip_range' (since := "2025-01-21")]
|
||||
theorem enumFrom_eq_zip_range' (l : List α) {n : Nat} : l.enumFrom n = (range' n l.length).zip l :=
|
||||
zip_of_prod (enumFrom_map_fst _ _) (enumFrom_map_snd _ _)
|
||||
|
||||
@[deprecated unzip_zipIdx_eq_prod (since := "2025-01-21"), simp]
|
||||
theorem unzip_enumFrom_eq_prod (l : List α) {n : Nat} :
|
||||
(l.enumFrom n).unzip = (range' n l.length, l) := by
|
||||
simp only [enumFrom_eq_zip_range', unzip_zip, length_range']
|
||||
|
||||
end
|
||||
|
||||
/-! ### enum -/
|
||||
|
||||
section
|
||||
set_option linter.deprecated false
|
||||
|
||||
@[deprecated zipIdx_cons (since := "2025-01-21")]
|
||||
theorem enum_cons : (a::as).enum = (0, a) :: as.enumFrom 1 := rfl
|
||||
|
||||
@[deprecated zipIdx_cons (since := "2025-01-21")]
|
||||
theorem enum_cons' (x : α) (xs : List α) :
|
||||
enum (x :: xs) = (0, x) :: (enum xs).map (Prod.map (· + 1) id) :=
|
||||
enumFrom_cons' _ _ _
|
||||
|
||||
@[deprecated "These are now both `l.zipIdx 0`" (since := "2025-01-21")]
|
||||
theorem enum_eq_enumFrom {l : List α} : l.enum = l.enumFrom 0 := rfl
|
||||
|
||||
@[deprecated "Use the reverse direction of `map_snd_add_zipIdx_eq_zipIdx` instead" (since := "2025-01-21")]
|
||||
theorem enumFrom_eq_map_enum (l : List α) (n : Nat) :
|
||||
enumFrom n l = (enum l).map (Prod.map (· + n) id) := by
|
||||
induction l generalizing n with
|
||||
| nil => simp
|
||||
| cons x xs ih =>
|
||||
simp only [enumFrom_cons, ih, enum_cons, map_cons, Prod.map_apply, Nat.zero_add, id_eq, map_map,
|
||||
cons.injEq, map_inj_left, Function.comp_apply, Prod.forall, Prod.mk.injEq, and_true, true_and]
|
||||
intro a b _
|
||||
exact (succ_add a n).symm
|
||||
|
||||
end
|
||||
|
||||
end List
|
||||
|
||||
@@ -57,7 +57,7 @@ where go : List α → List α → List α → List α
|
||||
else
|
||||
go (x :: xs) ys (y :: acc)
|
||||
|
||||
private theorem mergeTR_go_eq : mergeTR.go le l₁ l₂ acc = acc.reverse ++ merge l₁ l₂ le := by
|
||||
theorem mergeTR_go_eq : mergeTR.go le l₁ l₂ acc = acc.reverse ++ merge l₁ l₂ le := by
|
||||
induction l₁ generalizing l₂ acc with
|
||||
| nil => simp [mergeTR.go, reverseAux_eq]
|
||||
| cons x l₁ ih₁ =>
|
||||
@@ -84,7 +84,7 @@ def splitRevAt (n : Nat) (l : List α) : List α × List α := go l n [] where
|
||||
| x :: xs, n+1, acc => go xs n (x :: acc)
|
||||
| xs, _, acc => (acc, xs)
|
||||
|
||||
private theorem splitRevAt_go (xs : List α) (i : Nat) (acc : List α) :
|
||||
theorem splitRevAt_go (xs : List α) (i : Nat) (acc : List α) :
|
||||
splitRevAt.go xs i acc = ((take i xs).reverse ++ acc, drop i xs) := by
|
||||
induction xs generalizing i acc with
|
||||
| nil => simp [splitRevAt.go]
|
||||
@@ -100,7 +100,7 @@ theorem splitRevAt_eq (i : Nat) (l : List α) : splitRevAt i l = ((l.take i).rev
|
||||
|
||||
/--
|
||||
An intermediate speed-up for `mergeSort`.
|
||||
This version uses the tail-recursive `mergeTR` function as a subroutine.
|
||||
This version uses the tail-recurive `mergeTR` function as a subroutine.
|
||||
|
||||
This is not the final version we use at runtime, as `mergeSortTR₂` is faster.
|
||||
This definition is useful as an intermediate step in proving the `@[csimp]` lemma for `mergeSortTR₂`.
|
||||
@@ -172,7 +172,7 @@ theorem splitRevInTwo_snd (l : { l : List α // l.length = n }) :
|
||||
(splitRevInTwo l).2 = ⟨(splitInTwo l).2.1, by simp; omega⟩ := by
|
||||
simp only [splitRevInTwo, splitRevAt_eq, reverse_take, splitInTwo_snd]
|
||||
|
||||
private theorem mergeSortTR_run_eq_mergeSort : {n : Nat} → (l : { l : List α // l.length = n }) → mergeSortTR.run le l = mergeSort l.1 le
|
||||
theorem mergeSortTR_run_eq_mergeSort : {n : Nat} → (l : { l : List α // l.length = n }) → mergeSortTR.run le l = mergeSort l.1 le
|
||||
| 0, ⟨[], _⟩
|
||||
| 1, ⟨[a], _⟩ => by simp [mergeSortTR.run]
|
||||
| n+2, ⟨a :: b :: l, h⟩ => by
|
||||
@@ -189,7 +189,7 @@ theorem mergeSort_eq_mergeSortTR : @mergeSort = @mergeSortTR := by
|
||||
-- This mutual block is unfortunately quite slow to elaborate.
|
||||
set_option maxHeartbeats 400000 in
|
||||
mutual
|
||||
private theorem mergeSortTR₂_run_eq_mergeSort : {n : Nat} → (l : { l : List α // l.length = n }) → mergeSortTR₂.run le l = mergeSort l.1 le
|
||||
theorem mergeSortTR₂_run_eq_mergeSort : {n : Nat} → (l : { l : List α // l.length = n }) → mergeSortTR₂.run le l = mergeSort l.1 le
|
||||
| 0, ⟨[], _⟩
|
||||
| 1, ⟨[a], _⟩ => by simp [mergeSortTR₂.run]
|
||||
| n+2, ⟨a :: b :: l, h⟩ => by
|
||||
@@ -201,7 +201,7 @@ private theorem mergeSortTR₂_run_eq_mergeSort : {n : Nat} → (l : { l : List
|
||||
rw [reverse_reverse]
|
||||
termination_by n => n
|
||||
|
||||
private theorem mergeSortTR₂_run'_eq_mergeSort : {n : Nat} → (l : { l : List α // l.length = n }) → (w : l' = l.1.reverse) → mergeSortTR₂.run' le l = mergeSort l' le
|
||||
theorem mergeSortTR₂_run'_eq_mergeSort : {n : Nat} → (l : { l : List α // l.length = n }) → (w : l' = l.1.reverse) → mergeSortTR₂.run' le l = mergeSort l' le
|
||||
| 0, ⟨[], _⟩, w
|
||||
| 1, ⟨[a], _⟩, w => by simp_all [mergeSortTR₂.run']
|
||||
| n+2, ⟨a :: b :: l, h⟩, w => by
|
||||
|
||||
@@ -359,7 +359,7 @@ where go : ∀ (i : Nat) (l : List α),
|
||||
omega
|
||||
termination_by _ l => l.length
|
||||
|
||||
|
||||
@[deprecated mergeSort_zipIdx (since := "2025-01-21")] abbrev mergeSort_enum := @mergeSort_zipIdx
|
||||
|
||||
theorem mergeSort_cons {le : α → α → Bool}
|
||||
(trans : ∀ (a b c : α), le a b → le b c → le a c)
|
||||
|
||||
@@ -222,11 +222,11 @@ theorem forM_toArray [Monad m] (l : List α) (f : α → m PUnit) :
|
||||
congr
|
||||
ext1 (_|_) <;> simp [ih]
|
||||
|
||||
private theorem findSomeRevM?_find_toArray [Monad m] [LawfulMonad m] (f : α → m (Option β)) (l : List α)
|
||||
theorem findSomeRevM?_find_toArray [Monad m] [LawfulMonad m] (f : α → m (Option β)) (l : List α)
|
||||
(i : Nat) (h) :
|
||||
findSomeRevM?.find f l.toArray i h = (l.take i).reverse.findSomeM? f := by
|
||||
induction i generalizing l with
|
||||
| zero => simp [Array.findSomeRevM?.find]
|
||||
| zero => simp [Array.findSomeRevM?.find.eq_def]
|
||||
| succ i ih =>
|
||||
rw [size_toArray] at h
|
||||
rw [Array.findSomeRevM?.find, take_succ, getElem?_eq_getElem (by omega)]
|
||||
@@ -398,46 +398,45 @@ theorem isPrefixOfAux_toArray_zero [BEq α] (l₁ l₂ : List α) (hle : l₁.le
|
||||
rw [ih]
|
||||
simp_all
|
||||
|
||||
theorem zipWithMAux_toArray_succ {m : Type u → Type v} [Monad m] (as : List α) (bs : List β) (f : α → β → m γ) (i : Nat) (xs : Array γ) :
|
||||
zipWithMAux as.toArray bs.toArray f (i + 1) xs = zipWithMAux as.tail.toArray bs.tail.toArray f i xs := by
|
||||
rw [zipWithMAux]
|
||||
conv => rhs; rw [zipWithMAux]
|
||||
theorem zipWithAux_toArray_succ (as : List α) (bs : List β) (f : α → β → γ) (i : Nat) (xs : Array γ) :
|
||||
zipWithAux as.toArray bs.toArray f (i + 1) xs = zipWithAux as.tail.toArray bs.tail.toArray f i xs := by
|
||||
rw [zipWithAux]
|
||||
conv => rhs; rw [zipWithAux]
|
||||
simp only [size_toArray, getElem_toArray, length_tail, getElem_tail]
|
||||
split <;> rename_i h₁
|
||||
· split <;> rename_i h₂
|
||||
· rw [dif_pos (by omega), dif_pos (by omega)]
|
||||
simp only [zipWithMAux_toArray_succ as bs f (i+1)]
|
||||
· rw [dif_pos (by omega), dif_pos (by omega), zipWithAux_toArray_succ]
|
||||
· rw [dif_pos (by omega)]
|
||||
rw [dif_neg (by omega)]
|
||||
· rw [dif_neg (by omega)]
|
||||
|
||||
theorem zipWithMAux_toArray_succ' {m : Type u → Type v} [Monad m] (as : List α) (bs : List β) (f : α → β → m γ) (i : Nat) (xs : Array γ) :
|
||||
zipWithMAux as.toArray bs.toArray f (i + 1) xs = zipWithMAux (as.drop (i+1)).toArray (bs.drop (i+1)).toArray f 0 xs := by
|
||||
theorem zipWithAux_toArray_succ' (as : List α) (bs : List β) (f : α → β → γ) (i : Nat) (xs : Array γ) :
|
||||
zipWithAux as.toArray bs.toArray f (i + 1) xs = zipWithAux (as.drop (i+1)).toArray (bs.drop (i+1)).toArray f 0 xs := by
|
||||
induction i generalizing as bs xs with
|
||||
| zero => simp [zipWithMAux_toArray_succ]
|
||||
| zero => simp [zipWithAux_toArray_succ]
|
||||
| succ i ih =>
|
||||
rw [zipWithMAux_toArray_succ, ih]
|
||||
rw [zipWithAux_toArray_succ, ih]
|
||||
simp
|
||||
|
||||
theorem zipWithMAux_toArray_zero {m : Type u → Type v} [Monad m] [LawfulMonad m] (f : α → β → m γ) (as : List α) (bs : List β) (xs : Array γ) :
|
||||
zipWithMAux as.toArray bs.toArray f 0 xs = do return xs ++ (← List.zipWithM f as bs).toArray := by
|
||||
rw [Array.zipWithMAux]
|
||||
theorem zipWithAux_toArray_zero (f : α → β → γ) (as : List α) (bs : List β) (xs : Array γ) :
|
||||
zipWithAux as.toArray bs.toArray f 0 xs = xs ++ (List.zipWith f as bs).toArray := by
|
||||
rw [Array.zipWithAux]
|
||||
match as, bs with
|
||||
| [], _ => simp
|
||||
| _, [] => simp
|
||||
| a :: as, b :: bs =>
|
||||
simp [zipWithMAux_toArray_succ', zipWithMAux_toArray_zero, push_append_toArray]
|
||||
simp [zipWith_cons_cons, zipWithAux_toArray_succ', zipWithAux_toArray_zero, push_append_toArray]
|
||||
|
||||
@[simp, grind =] theorem zipWith_toArray (as : List α) (bs : List β) (f : α → β → γ) :
|
||||
Array.zipWith f as.toArray bs.toArray = (List.zipWith f as bs).toArray := by
|
||||
rw [Array.zipWith]
|
||||
simp [zipWithMAux_toArray_zero, ← zipWithM'_eq_zipWithM]
|
||||
simp [zipWithAux_toArray_zero]
|
||||
|
||||
@[simp, grind =] theorem zip_toArray (as : List α) (bs : List β) :
|
||||
Array.zip as.toArray bs.toArray = (List.zip as bs).toArray := by
|
||||
simp [Array.zip, zipWith_toArray, zip]
|
||||
|
||||
private theorem zipWithAll_go_toArray (as : List α) (bs : List β) (f : Option α → Option β → γ) (i : Nat) (xs : Array γ) :
|
||||
theorem zipWithAll_go_toArray (as : List α) (bs : List β) (f : Option α → Option β → γ) (i : Nat) (xs : Array γ) :
|
||||
zipWithAll.go f as.toArray bs.toArray i xs = xs ++ (List.zipWithAll f (as.drop i) (bs.drop i)).toArray := by
|
||||
unfold zipWithAll.go
|
||||
split <;> rename_i h
|
||||
@@ -475,11 +474,6 @@ private theorem zipWithAll_go_toArray (as : List α) (bs : List β) (f : Option
|
||||
Array.zipWithAll f as.toArray bs.toArray = (List.zipWithAll f as bs).toArray := by
|
||||
simp [Array.zipWithAll, zipWithAll_go_toArray]
|
||||
|
||||
@[simp, grind =] theorem zipWithM_toArray {m : Type u → Type v} [Monad m] [LawfulMonad m] (f : α → β → m γ) (as : List α) (bs : List β) :
|
||||
Array.zipWithM f as.toArray bs.toArray = do return (← List.zipWithM f as bs).toArray := by
|
||||
rw [Array.zipWithM]
|
||||
simp [zipWithMAux_toArray_zero]
|
||||
|
||||
@[simp, grind =] theorem toArray_appendList (l₁ l₂ : List α) :
|
||||
l₁.toArray ++ l₂ = (l₁ ++ l₂).toArray := by
|
||||
apply ext'
|
||||
@@ -489,7 +483,7 @@ private theorem zipWithAll_go_toArray (as : List α) (bs : List β) (f : Option
|
||||
apply ext'
|
||||
simp
|
||||
|
||||
private theorem takeWhile_go_succ (p : α → Bool) (a : α) (l : List α) (i : Nat) :
|
||||
theorem takeWhile_go_succ (p : α → Bool) (a : α) (l : List α) (i : Nat) :
|
||||
takeWhile.go p (a :: l).toArray (i+1) r = takeWhile.go p l.toArray i r := by
|
||||
rw [takeWhile.go, takeWhile.go]
|
||||
simp only [size_toArray, length_cons, Nat.add_lt_add_iff_right,
|
||||
@@ -498,7 +492,7 @@ private theorem takeWhile_go_succ (p : α → Bool) (a : α) (l : List α) (i :
|
||||
rw [takeWhile_go_succ]
|
||||
rfl
|
||||
|
||||
private theorem takeWhile_go_toArray (p : α → Bool) (l : List α) (i : Nat) :
|
||||
theorem takeWhile_go_toArray (p : α → Bool) (l : List α) (i : Nat) :
|
||||
Array.takeWhile.go p l.toArray i r = r ++ (takeWhile p (l.drop i)).toArray := by
|
||||
induction l generalizing i r with
|
||||
| nil => simp [takeWhile.go]
|
||||
|
||||
@@ -31,6 +31,6 @@ both `List.toArray` and `Array.mk`.
|
||||
-/
|
||||
-- This function is exported to C, where it is called by `Array.mk`
|
||||
-- (the constructor) to implement this functionality.
|
||||
@[inline, expose, match_pattern, pp_nodot, export lean_list_to_array]
|
||||
@[inline, match_pattern, pp_nodot, export lean_list_to_array]
|
||||
def List.toArrayImpl (xs : List α) : Array α :=
|
||||
xs.toArrayAux (Array.mkEmpty xs.length)
|
||||
|
||||
@@ -42,7 +42,7 @@ theorem zipWith_self {f : α → α → δ} : ∀ {l : List α}, zipWith f l l =
|
||||
| [] => rfl
|
||||
| _ :: _ => congrArg _ zipWith_self
|
||||
|
||||
|
||||
@[deprecated zipWith_self (since := "2025-01-29")] abbrev zipWith_same := @zipWith_self
|
||||
|
||||
/--
|
||||
See also `getElem?_zipWith'` for a variant
|
||||
@@ -127,7 +127,7 @@ theorem zipWith_foldl_eq_zip_foldl {f : α → β → γ} {i : δ} {g : δ →
|
||||
theorem zipWith_eq_nil_iff {f : α → β → γ} {l l'} : zipWith f l l' = [] ↔ l = [] ∨ l' = [] := by
|
||||
cases l <;> cases l' <;> simp
|
||||
|
||||
@[simp, grind =]
|
||||
@[grind =]
|
||||
theorem map_zipWith {δ : Type _} {f : α → β} {g : γ → δ → α} {l : List γ} {l' : List δ} :
|
||||
map f (zipWith g l l') = zipWith (fun x y => f (g x y)) l l' := by
|
||||
induction l generalizing l' with
|
||||
@@ -306,7 +306,7 @@ theorem of_mem_zip {a b} : ∀ {l₁ : List α} {l₂ : List β}, (a, b) ∈ zip
|
||||
cases h
|
||||
case head => simp
|
||||
case tail h =>
|
||||
have := of_mem_zip h
|
||||
· have := of_mem_zip h
|
||||
exact ⟨Mem.tail _ this.1, Mem.tail _ this.2⟩
|
||||
|
||||
theorem map_fst_zip :
|
||||
|
||||
@@ -97,7 +97,7 @@ def shiftRight : @& Nat → @& Nat → Nat
|
||||
|
||||
instance : AndOp Nat := ⟨Nat.land⟩
|
||||
instance : OrOp Nat := ⟨Nat.lor⟩
|
||||
instance : XorOp Nat := ⟨Nat.xor⟩
|
||||
instance : Xor Nat := ⟨Nat.xor⟩
|
||||
instance : ShiftLeft Nat := ⟨Nat.shiftLeft⟩
|
||||
instance : ShiftRight Nat := ⟨Nat.shiftRight⟩
|
||||
|
||||
@@ -137,7 +137,7 @@ of a number.
|
||||
/--
|
||||
Returns `true` if the `(n+1)`th least significant bit is `1`, or `false` if it is `0`.
|
||||
-/
|
||||
@[expose] def testBit (m n : Nat) : Bool :=
|
||||
def testBit (m n : Nat) : Bool :=
|
||||
-- `1 &&& n` is faster than `n &&& 1` for big `n`.
|
||||
1 &&& (m >>> n) != 0
|
||||
|
||||
|
||||
@@ -78,7 +78,8 @@ noncomputable def div2Induction {motive : Nat → Sort u}
|
||||
simp only [HAnd.hAnd, AndOp.and, land] at andz
|
||||
simp only [HAnd.hAnd, AndOp.and, land]
|
||||
unfold bitwise
|
||||
cases mod_two_eq_zero_or_one x with | _ p => simp [xz, p, andz]
|
||||
cases mod_two_eq_zero_or_one x with | _ p =>
|
||||
simp [xz, p, andz]
|
||||
|
||||
/-! ### testBit -/
|
||||
|
||||
@@ -181,8 +182,9 @@ theorem exists_testBit_ne_of_ne {x y : Nat} (p : x ≠ y) : ∃ i, testBit x i
|
||||
apply Exists.intro 0
|
||||
simp only [testBit_zero]
|
||||
revert lsb_diff
|
||||
cases mod_two_eq_zero_or_one x with
|
||||
| _ p => cases mod_two_eq_zero_or_one y with | _ q => simp [p,q]
|
||||
cases mod_two_eq_zero_or_one x with | _ p =>
|
||||
cases mod_two_eq_zero_or_one y with | _ q =>
|
||||
simp [p,q]
|
||||
|
||||
@[deprecated exists_testBit_ne_of_ne (since := "2025-04-04")]
|
||||
abbrev ne_implies_bit_diff := @exists_testBit_ne_of_ne
|
||||
@@ -258,7 +260,8 @@ private theorem succ_mod_two : succ x % 2 = 1 - x % 2 := by
|
||||
|
||||
private theorem testBit_succ_zero : testBit (x + 1) 0 = !(testBit x 0) := by
|
||||
simp only [testBit_eq_decide_div_mod_eq, Nat.pow_zero, Nat.div_one, succ_mod_two]
|
||||
cases Nat.mod_two_eq_zero_or_one x with | _ p => simp [p]
|
||||
cases Nat.mod_two_eq_zero_or_one x with | _ p =>
|
||||
simp [p]
|
||||
|
||||
theorem testBit_two_pow_add_eq (x i : Nat) : testBit (2^i + x) i = !(testBit x i) := by
|
||||
simp only [testBit_eq_decide_div_mod_eq, add_div_left, Nat.two_pow_pos, succ_mod_two]
|
||||
@@ -274,7 +277,8 @@ theorem testBit_mul_two_pow_add_eq (a b i : Nat) :
|
||||
testBit_mul_two_pow_add_eq a,
|
||||
testBit_two_pow_add_eq,
|
||||
Nat.succ_mod_two]
|
||||
cases mod_two_eq_zero_or_one a with | _ p => simp [p]
|
||||
cases mod_two_eq_zero_or_one a with
|
||||
| _ p => simp [p]
|
||||
|
||||
theorem testBit_two_pow_add_gt {i j : Nat} (j_lt_i : j < i) (x : Nat) :
|
||||
testBit (2^i + x) j = testBit x j := by
|
||||
@@ -637,7 +641,7 @@ theorem or_mod_two_pow : (a ||| b) % 2 ^ n = a % 2 ^ n ||| b % 2 ^ n :=
|
||||
|
||||
@[simp, grind =] theorem testBit_xor (x y i : Nat) :
|
||||
(x ^^^ y).testBit i = ((x.testBit i) ^^ (y.testBit i)) := by
|
||||
simp [HXor.hXor, XorOp.xor, xor, testBit_bitwise ]
|
||||
simp [HXor.hXor, Xor.xor, xor, testBit_bitwise ]
|
||||
|
||||
@[simp, grind =] theorem zero_xor (x : Nat) : 0 ^^^ x = x := by
|
||||
apply Nat.eq_of_testBit_eq
|
||||
@@ -849,7 +853,8 @@ theorem shiftLeft_add_eq_or_of_lt {b : Nat} (b_lt : b < 2^i) (a : Nat) :
|
||||
/-! ### le -/
|
||||
|
||||
theorem le_of_testBit {n m : Nat} (h : ∀ i, n.testBit i = true → m.testBit i = true) : n ≤ m := by
|
||||
induction n using div2Induction generalizing m with | _ n ih
|
||||
induction n using div2Induction generalizing m
|
||||
next n ih =>
|
||||
have : n / 2 ≤ m / 2 := by
|
||||
rcases n with (_|n)
|
||||
· simp
|
||||
|
||||
@@ -24,7 +24,7 @@ theorem compare_eq_ite_lt (a b : Nat) :
|
||||
simp only [compare, compareOfLessAndEq]
|
||||
split
|
||||
· rfl
|
||||
next h =>
|
||||
· next h =>
|
||||
match Nat.lt_or_eq_of_le (Nat.not_lt.1 h) with
|
||||
| .inl h => simp [h, Nat.ne_of_gt h]
|
||||
| .inr rfl => simp
|
||||
@@ -36,11 +36,11 @@ theorem compare_eq_ite_le (a b : Nat) :
|
||||
compare a b = if a ≤ b then if b ≤ a then .eq else .lt else .gt := by
|
||||
rw [compare_eq_ite_lt]
|
||||
split
|
||||
next hlt => simp [Nat.le_of_lt hlt, Nat.not_le.2 hlt]
|
||||
next hge =>
|
||||
· next hlt => simp [Nat.le_of_lt hlt, Nat.not_le.2 hlt]
|
||||
· next hge =>
|
||||
split
|
||||
next hgt => simp [Nat.not_le.2 hgt]
|
||||
next hle => simp [Nat.not_lt.1 hge, Nat.not_lt.1 hle]
|
||||
· next hgt => simp [Nat.not_le.2 hgt]
|
||||
· next hle => simp [Nat.not_lt.1 hge, Nat.not_lt.1 hle]
|
||||
|
||||
@[deprecated compare_eq_ite_le (since := "2025-03_28")]
|
||||
def compare_def_le := compare_eq_ite_le
|
||||
|
||||
@@ -350,7 +350,12 @@ theorem mod_le (x y : Nat) : x % y ≤ x := by
|
||||
theorem mod_lt_of_lt {a b c : Nat} (h : a < c) : a % b < c :=
|
||||
Nat.lt_of_le_of_lt (Nat.mod_le _ _) h
|
||||
|
||||
@[simp] theorem zero_mod (b : Nat) : 0 % b = 0 := rfl
|
||||
@[simp] theorem zero_mod (b : Nat) : 0 % b = 0 := by
|
||||
rw [mod_eq]
|
||||
have : ¬ (0 < b ∧ b = 0) := by
|
||||
intro ⟨h₁, h₂⟩
|
||||
simp_all
|
||||
simp [this]
|
||||
|
||||
@[simp] theorem mod_self (n : Nat) : n % n = 0 := by
|
||||
rw [mod_eq_sub_mod (Nat.le_refl _), Nat.sub_self, zero_mod]
|
||||
|
||||
@@ -128,7 +128,7 @@ theorem fold_congr {α : Type u} {n m : Nat} (w : n = m)
|
||||
subst m
|
||||
rfl
|
||||
|
||||
private theorem foldTR_loop_congr {α : Type u} {n m : Nat} (w : n = m)
|
||||
theorem foldTR_loop_congr {α : Type u} {n m : Nat} (w : n = m)
|
||||
(f : (i : Nat) → i < n → α → α) (j : Nat) (h : j ≤ n) (init : α) :
|
||||
foldTR.loop n f j h init = foldTR.loop m (fun i h => f i (by omega)) j (by omega) init := by
|
||||
subst m
|
||||
@@ -154,7 +154,7 @@ theorem any_congr {n m : Nat} (w : n = m) (f : (i : Nat) → i < n → Bool) : a
|
||||
subst m
|
||||
rfl
|
||||
|
||||
private theorem anyTR_loop_congr {n m : Nat} (w : n = m) (f : (i : Nat) → i < n → Bool) (j : Nat) (h : j ≤ n) :
|
||||
theorem anyTR_loop_congr {n m : Nat} (w : n = m) (f : (i : Nat) → i < n → Bool) (j : Nat) (h : j ≤ n) :
|
||||
anyTR.loop n f j h = anyTR.loop m (fun i h => f i (by omega)) j (by omega) := by
|
||||
subst m
|
||||
rfl
|
||||
@@ -179,7 +179,7 @@ theorem all_congr {n m : Nat} (w : n = m) (f : (i : Nat) → i < n → Bool) : a
|
||||
subst m
|
||||
rfl
|
||||
|
||||
private theorem allTR_loop_congr {n m : Nat} (w : n = m) (f : (i : Nat) → i < n → Bool) (j : Nat) (h : j ≤ n) : allTR.loop n f j h = allTR.loop m (fun i h => f i (by omega)) j (by omega) := by
|
||||
theorem allTR_loop_congr {n m : Nat} (w : n = m) (f : (i : Nat) → i < n → Bool) (j : Nat) (h : j ≤ n) : allTR.loop n f j h = allTR.loop m (fun i h => f i (by omega)) j (by omega) := by
|
||||
subst m
|
||||
rfl
|
||||
|
||||
@@ -199,62 +199,6 @@ private theorem allTR_loop_congr {n m : Nat} (w : n = m) (f : (i : Nat) → i <
|
||||
omega
|
||||
go n 0 f
|
||||
|
||||
/-! # `dfold` -/
|
||||
|
||||
private def dfoldCast {n : Nat} (α : (i : Nat) → (h : i ≤ n := by omega) → Type u)
|
||||
{i j : Nat} {hi : i ≤ n} (w : i = j) (x : α i hi) : α j (by omega) := by
|
||||
subst w
|
||||
exact x
|
||||
|
||||
@[local simp] private theorem dfoldCast_rfl (h : i ≤ n) (w : i = i) (x : α i h) : dfoldCast α w x = x := by
|
||||
simp [dfoldCast]
|
||||
|
||||
@[local simp] private theorem dfoldCast_trans (h : i ≤ n) (w₁ : i = j) (w₂ : j = k) (x : α i h) :
|
||||
dfoldCast @α w₂ (dfoldCast @α w₁ x) = dfoldCast @α (w₁.trans w₂) x := by
|
||||
cases w₁
|
||||
cases w₂
|
||||
simp [dfoldCast]
|
||||
|
||||
@[local simp] private theorem dfoldCast_eq_dfoldCast_iff {α : (i : Nat) → (h : i ≤ n := by omega) → Type u} {w₁ w₂ : i = j} {h : i ≤ n} {x : α i h} :
|
||||
dfoldCast @α w₁ x = dfoldCast (n := n) (fun i h => α i) (hi := hi) w₂ x ↔ w₁ = w₂ := by
|
||||
cases w₁
|
||||
cases w₂
|
||||
simp [dfoldCast]
|
||||
|
||||
private theorem apply_dfoldCast {α : (i : Nat) → (h : i ≤ n := by omega) → Type u}
|
||||
(f : (i : Nat) → (h : i < n) → α i → α (i + 1)) {i j : Nat} (h : i < n) {w : i = j} {x : α i (by omega)} :
|
||||
f j (by omega) (dfoldCast @α w x) = dfoldCast (n := n) (fun i h => α i) (hi := by omega) (by omega) (f i h x) := by
|
||||
subst w
|
||||
simp
|
||||
|
||||
/--
|
||||
`Nat.dfold` evaluates `f` on the numbers up to `n` exclusive, in increasing order:
|
||||
* `Nat.dfold f 3 init = init |> f 0 |> f 1 |> f 2`
|
||||
The input and output types of `f` are indexed by the current index, i.e. `f : (i : Nat) → (h : i < n) → α i → α (i + 1)`.
|
||||
-/
|
||||
@[specialize]
|
||||
def dfold (n : Nat) {α : (i : Nat) → (h : i ≤ n := by omega) → Type u}
|
||||
(f : (i : Nat) → (h : i < n) → α i → α (i + 1)) (init : α 0) : α n :=
|
||||
let rec @[specialize] loop : ∀ j, j ≤ n → α (n - j) → α n
|
||||
| 0, h, a => a
|
||||
| succ m, h, a =>
|
||||
loop m (by omega) (dfoldCast @α (by omega) (f (n - succ m) (by omega) a))
|
||||
loop n (by omega) (dfoldCast @α (by omega) init)
|
||||
|
||||
/--
|
||||
`Nat.dfoldRev` evaluates `f` on the numbers up to `n` exclusive, in decreasing order:
|
||||
* `Nat.dfoldRev f 3 init = f 0 <| f 1 <| f 2 <| init`
|
||||
The input and output types of `f` are indexed by the current index, i.e. `f : (i : Nat) → (h : i < n) → α (i + 1) → α i`.
|
||||
-/
|
||||
@[specialize]
|
||||
def dfoldRev (n : Nat) {α : (i : Nat) → (h : i ≤ n := by omega) → Type u}
|
||||
(f : (i : Nat) → (h : i < n) → α (i + 1) → α i) (init : α n) : α 0 :=
|
||||
match n with
|
||||
| 0 => init
|
||||
| (n + 1) => dfoldRev n (α := fun i h => α i) (fun i h => f i (by omega)) (f n (by omega) init)
|
||||
|
||||
/-! # Theorems -/
|
||||
|
||||
/-! ### `fold` -/
|
||||
|
||||
@[simp] theorem fold_zero {α : Type u} (f : (i : Nat) → i < 0 → α → α) (init : α) :
|
||||
@@ -311,102 +255,6 @@ def dfoldRev (n : Nat) {α : (i : Nat) → (h : i ≤ n := by omega) → Type u}
|
||||
| zero => simp
|
||||
| succ n ih => simp [ih, List.finRange_succ_last, List.all_map, Function.comp_def]
|
||||
|
||||
/-! ### `dfold` -/
|
||||
|
||||
@[simp]
|
||||
theorem dfold_zero
|
||||
{α : (i : Nat) → (h : i ≤ 0 := by omega) → Type u}
|
||||
(f : (i : Nat) → (h : i < 0) → α i → α (i + 1)) (init : α 0) :
|
||||
dfold 0 f init = init := by
|
||||
simp [dfold, dfold.loop]
|
||||
|
||||
private theorem dfold_loop_succ
|
||||
{α : (i : Nat) → (h : i ≤ n + 1 := by omega) → Type u}
|
||||
(f : (i : Nat) → (h : i < n + 1) → α i → α (i + 1))
|
||||
(a : α (n + 1 - (j + 1))) (w : j ≤ n):
|
||||
dfold.loop (n + 1) f (j + 1) (by omega) a =
|
||||
f n (by omega)
|
||||
(dfold.loop n (α := fun i h => α i) (fun i h => f i (by omega)) j w (dfoldCast @α (by omega) a)) := by
|
||||
induction j with
|
||||
| zero => simp [dfold.loop]
|
||||
| succ j ih =>
|
||||
rw [dfold.loop, ih _ (by omega)]
|
||||
congr 2
|
||||
simp only [succ_eq_add_one, dfoldCast_trans]
|
||||
rw [apply_dfoldCast (h := by omega) f]
|
||||
· erw [dfoldCast_trans (h := by omega)]
|
||||
erw [dfoldCast_eq_dfoldCast_iff]
|
||||
omega
|
||||
|
||||
@[simp]
|
||||
theorem dfold_succ
|
||||
{α : (i : Nat) → (h : i ≤ n + 1 := by omega) → Type u}
|
||||
(f : (i : Nat) → (h : i < n + 1) → α i → α (i + 1)) (init : α 0) :
|
||||
dfold (n + 1) f init =
|
||||
f n (by omega) (dfold n (α := fun i h => α i) (fun i h => f i (by omega)) init) := by
|
||||
simp [dfold]
|
||||
rw [dfold_loop_succ (w := Nat.le_refl _)]
|
||||
congr 2
|
||||
simp only [dfoldCast_trans]
|
||||
erw [dfoldCast_eq_dfoldCast_iff]
|
||||
exact le_add_left 0 (n + 1)
|
||||
|
||||
-- This isn't a proper `@[congr]` lemma, but it doesn't seem possible to state one.
|
||||
theorem dfold_congr
|
||||
{n m : Nat} (w : n = m)
|
||||
{α : (i : Nat) → (h : i ≤ n := by omega) → Type u}
|
||||
(f : (i : Nat) → (h : i < n) → α i → α (i + 1)) (init : α 0) :
|
||||
dfold n f init =
|
||||
cast (by subst w; rfl)
|
||||
(dfold m (α := fun i h => α i) (fun i h => f i (by omega)) init) := by
|
||||
subst w
|
||||
rfl
|
||||
|
||||
theorem dfold_add
|
||||
{α : (i : Nat) → (h : i ≤ n + m := by omega) → Type u}
|
||||
(f : (i : Nat) → (h : i < n + m) → α i → α (i + 1)) (init : α 0) :
|
||||
dfold (n + m) f init =
|
||||
dfold m (α := fun i h => α (n + i)) (fun i h => f (n + i) (by omega))
|
||||
(dfold n (α := fun i h => α i) (fun i h => f i (by omega)) init) := by
|
||||
induction m with
|
||||
| zero => simp; rfl
|
||||
| succ m ih =>
|
||||
simp [dfold_congr (Nat.add_assoc n m 1).symm, ih]
|
||||
|
||||
@[simp] theorem dfoldRev_zero
|
||||
{α : (i : Nat) → (h : i ≤ 0 := by omega) → Type u}
|
||||
(f : (i : Nat) → (_ : i < 0) → α (i + 1) → α i) (init : α 0) :
|
||||
dfoldRev 0 f init = init := by
|
||||
simp [dfoldRev]
|
||||
|
||||
@[simp] theorem dfoldRev_succ
|
||||
{α : (i : Nat) → (h : i ≤ n + 1 := by omega) → Type u}
|
||||
(f : (i : Nat) → (h : i < n + 1) → α (i + 1) → α i) (init : α (n + 1)) :
|
||||
dfoldRev (n + 1) f init =
|
||||
dfoldRev n (α := fun i h => α i) (fun i h => f i (by omega)) (f n (by omega) init) := by
|
||||
simp [dfoldRev]
|
||||
|
||||
@[congr]
|
||||
theorem dfoldRev_congr
|
||||
{n m : Nat} (w : n = m)
|
||||
{α : (i : Nat) → (h : i ≤ n := by omega) → Type u}
|
||||
(f : (i : Nat) → (h : i < n) → α (i + 1) → α i) (init : α n) :
|
||||
dfoldRev n f init =
|
||||
dfoldRev m (α := fun i h => α i) (fun i h => f i (by omega))
|
||||
(cast (by subst w; rfl) init) := by
|
||||
subst w
|
||||
rfl
|
||||
|
||||
theorem dfoldRev_add
|
||||
{α : (i : Nat) → (h : i ≤ n + m := by omega) → Type u}
|
||||
(f : (i : Nat) → (h : i < n + m) → α (i + 1) → α i) (init : α (n + m)) :
|
||||
dfoldRev (n + m) f init =
|
||||
dfoldRev n (α := fun i h => α i) (fun i h => f i (by omega))
|
||||
(dfoldRev m (α := fun i h => α (n + i)) (fun i h => f (n + i) (by omega)) init) := by
|
||||
induction m with
|
||||
| zero => simp; rfl
|
||||
| succ m ih => simp [← Nat.add_assoc, ih]
|
||||
|
||||
end Nat
|
||||
|
||||
namespace Prod
|
||||
|
||||
@@ -1145,7 +1145,8 @@ protected theorem pow_lt_pow_succ (h : 1 < a) : a ^ n < a ^ (n + 1) := by
|
||||
|
||||
protected theorem pow_lt_pow_of_lt {a n m : Nat} (h : 1 < a) (w : n < m) : a ^ n < a ^ m := by
|
||||
have := Nat.exists_eq_add_of_lt w
|
||||
cases this with | intro k p
|
||||
cases this
|
||||
case intro k p =>
|
||||
rw [Nat.add_right_comm] at p
|
||||
subst p
|
||||
rw [Nat.pow_add, ← Nat.mul_one (a^n)]
|
||||
@@ -1560,7 +1561,7 @@ theorem mul_add_mod_of_lt {a b c : Nat} (h : c < b) : (a * b + c) % b = c := by
|
||||
@[simp] theorem mod_div_self (m n : Nat) : m % n / n = 0 := by
|
||||
cases n
|
||||
· exact (m % 0).div_zero
|
||||
case succ n => exact Nat.div_eq_of_lt (m.mod_lt n.succ_pos)
|
||||
· case succ n => exact Nat.div_eq_of_lt (m.mod_lt n.succ_pos)
|
||||
|
||||
theorem mod_eq_iff {a b c : Nat} :
|
||||
a % b = c ↔ (b = 0 ∧ a = c) ∨ (c < b ∧ Exists fun k => a = b * k + c) :=
|
||||
@@ -1689,17 +1690,17 @@ theorem div_lt_div_of_lt_of_dvd {a b d : Nat} (hdb : d ∣ b) (h : a < b) : a /
|
||||
|
||||
@[simp, grind =] theorem shiftLeft_zero : n <<< 0 = n := rfl
|
||||
|
||||
/-- Shift left on successor with multiple moved inside. -/
|
||||
/-- Shiftleft on successor with multiple moved inside. -/
|
||||
theorem shiftLeft_succ_inside (m n : Nat) : m <<< (n+1) = (2*m) <<< n := rfl
|
||||
|
||||
/-- Shift left on successor with multiple moved to outside. -/
|
||||
/-- Shiftleft on successor with multiple moved to outside. -/
|
||||
theorem shiftLeft_succ : ∀(m n), m <<< (n + 1) = 2 * (m <<< n)
|
||||
| _, 0 => rfl
|
||||
| _, k + 1 => by
|
||||
rw [shiftLeft_succ_inside _ (k+1)]
|
||||
rw [shiftLeft_succ _ k, shiftLeft_succ_inside]
|
||||
|
||||
/-- Shift right on successor with division moved inside. -/
|
||||
/-- Shiftright on successor with division moved inside. -/
|
||||
theorem shiftRight_succ_inside : ∀m n, m >>> (n+1) = (m/2) >>> n
|
||||
| _, 0 => rfl
|
||||
| _, k + 1 => by
|
||||
|
||||
@@ -42,7 +42,7 @@ decreasing_by exact log2_terminates _ ‹_›
|
||||
|
||||
theorem log2_le_self (n : Nat) : Nat.log2 n ≤ n := by
|
||||
unfold Nat.log2; split
|
||||
next h =>
|
||||
· next h =>
|
||||
have := log2_le_self (n / 2)
|
||||
exact Nat.lt_of_le_of_lt this (Nat.div_lt_self (Nat.le_of_lt h) (by decide))
|
||||
· apply Nat.zero_le
|
||||
|
||||
@@ -95,10 +95,6 @@ Ordering.lt
|
||||
| .eq => b
|
||||
| a => a
|
||||
|
||||
/-- Version of `Ordering.then'` for proof by reflection. -/
|
||||
noncomputable def then' (a b : Ordering) : Ordering :=
|
||||
Ordering.rec a b a a
|
||||
|
||||
/--
|
||||
Checks whether the ordering is `eq`.
|
||||
-/
|
||||
@@ -295,9 +291,6 @@ instance : Std.LawfulIdentity Ordering.then eq where
|
||||
left_id _ := eq_then
|
||||
right_id _ := then_eq
|
||||
|
||||
theorem then'_eq_then (a b : Ordering) : a.then' b = a.then b := by
|
||||
cases a <;> simp [Ordering.then', Ordering.then]
|
||||
|
||||
end Lemmas
|
||||
|
||||
end Ordering
|
||||
|
||||
@@ -10,7 +10,7 @@ public import Init.Data.Range.Polymorphic.RangeIterator
|
||||
public import Init.Data.Range.Polymorphic.Basic
|
||||
public import Init.Data.Iterators.Combinators.Attach
|
||||
|
||||
@[expose] public section
|
||||
public section
|
||||
|
||||
open Std.Iterators
|
||||
|
||||
@@ -29,7 +29,7 @@ def Internal.iter {sl su α} [UpwardEnumerable α] [BoundedUpwardEnumerable sl
|
||||
Returns the elements of the given range as a list in ascending order, given that ranges of the given
|
||||
type and shape support this function and the range is finite.
|
||||
-/
|
||||
@[always_inline, inline, expose]
|
||||
@[always_inline, inline]
|
||||
def toList {sl su α} [UpwardEnumerable α] [BoundedUpwardEnumerable sl α]
|
||||
[SupportsUpperBound su α]
|
||||
(r : PRange ⟨sl, su⟩ α)
|
||||
@@ -98,6 +98,7 @@ instance {sl su α m} [UpwardEnumerable α] [BoundedUpwardEnumerable sl α]
|
||||
[Monad m] [Finite (RangeIterator su α) Id] :
|
||||
ForIn' m (PRange ⟨sl, su⟩ α) α inferInstance where
|
||||
forIn' r init f := by
|
||||
haveI : MonadLift Id m := ⟨Std.Internal.idToMonad (α := _)⟩
|
||||
haveI := Iter.instForIn' (α := RangeIterator su α) (β := α) (n := m)
|
||||
refine ForIn'.forIn' (α := α) (PRange.Internal.iter r) init (fun a ha acc => f a ?_ acc)
|
||||
simp only [Membership.mem] at ha
|
||||
|
||||
@@ -115,7 +115,7 @@ theorem pairwise_toList_upwardEnumerableLt {sl su} [UpwardEnumerable α]
|
||||
r.toList.Pairwise (fun a b => UpwardEnumerable.LT a b) := by
|
||||
rw [Internal.toList_eq_toList_iter]
|
||||
generalize Internal.iter r = it
|
||||
induction it using Iter.inductSteps with | step it ihy ihs
|
||||
induction it using Iter.inductSteps with | step it ihy ihs =>
|
||||
rw [RangeIterator.toList_eq_match]
|
||||
repeat' split <;> (try exact .nil; done)
|
||||
rename_i a _ _
|
||||
|
||||
@@ -316,7 +316,7 @@ class LawfulClosedOpenIntersection (shape : RangeShape) (α : Type w)
|
||||
[SupportsLowerBound .closed α]
|
||||
[SupportsUpperBound .open α] where
|
||||
/--
|
||||
The intersection according to `ClosedOpenIntersection shape α` of two ranges contains exactly
|
||||
The intersection according to `ClosedOpenIntersection shapee α` of two ranges contains exactly
|
||||
those elements that are contained in both ranges.
|
||||
-/
|
||||
mem_intersection_iff {a : α} {r : PRange ⟨shape.lower, shape.upper⟩ α}
|
||||
|
||||
@@ -87,7 +87,7 @@ class LawfulUpwardEnumerable (α : Type u) [UpwardEnumerable α] where
|
||||
succMany?_zero (a : α) : UpwardEnumerable.succMany? 0 a = some a
|
||||
/--
|
||||
The `n + 1`-th successor of `a` is the successor of the `n`-th successor, given that said
|
||||
successors actually exist.
|
||||
successors actualy exist.
|
||||
-/
|
||||
succMany?_succ (n : Nat) (a : α) :
|
||||
UpwardEnumerable.succMany? (n + 1) a = (UpwardEnumerable.succMany? n a).bind UpwardEnumerable.succ?
|
||||
|
||||
@@ -389,7 +389,7 @@ instance : LE Int8 := ⟨Int8.le⟩
|
||||
instance : Complement Int8 := ⟨Int8.complement⟩
|
||||
instance : AndOp Int8 := ⟨Int8.land⟩
|
||||
instance : OrOp Int8 := ⟨Int8.lor⟩
|
||||
instance : XorOp Int8 := ⟨Int8.xor⟩
|
||||
instance : Xor Int8 := ⟨Int8.xor⟩
|
||||
instance : ShiftLeft Int8 := ⟨Int8.shiftLeft⟩
|
||||
instance : ShiftRight Int8 := ⟨Int8.shiftRight⟩
|
||||
instance : DecidableEq Int8 := Int8.decEq
|
||||
@@ -760,7 +760,7 @@ instance : LE Int16 := ⟨Int16.le⟩
|
||||
instance : Complement Int16 := ⟨Int16.complement⟩
|
||||
instance : AndOp Int16 := ⟨Int16.land⟩
|
||||
instance : OrOp Int16 := ⟨Int16.lor⟩
|
||||
instance : XorOp Int16 := ⟨Int16.xor⟩
|
||||
instance : Xor Int16 := ⟨Int16.xor⟩
|
||||
instance : ShiftLeft Int16 := ⟨Int16.shiftLeft⟩
|
||||
instance : ShiftRight Int16 := ⟨Int16.shiftRight⟩
|
||||
instance : DecidableEq Int16 := Int16.decEq
|
||||
@@ -1147,7 +1147,7 @@ instance : LE Int32 := ⟨Int32.le⟩
|
||||
instance : Complement Int32 := ⟨Int32.complement⟩
|
||||
instance : AndOp Int32 := ⟨Int32.land⟩
|
||||
instance : OrOp Int32 := ⟨Int32.lor⟩
|
||||
instance : XorOp Int32 := ⟨Int32.xor⟩
|
||||
instance : Xor Int32 := ⟨Int32.xor⟩
|
||||
instance : ShiftLeft Int32 := ⟨Int32.shiftLeft⟩
|
||||
instance : ShiftRight Int32 := ⟨Int32.shiftRight⟩
|
||||
instance : DecidableEq Int32 := Int32.decEq
|
||||
@@ -1554,7 +1554,7 @@ instance : LE Int64 := ⟨Int64.le⟩
|
||||
instance : Complement Int64 := ⟨Int64.complement⟩
|
||||
instance : AndOp Int64 := ⟨Int64.land⟩
|
||||
instance : OrOp Int64 := ⟨Int64.lor⟩
|
||||
instance : XorOp Int64 := ⟨Int64.xor⟩
|
||||
instance : Xor Int64 := ⟨Int64.xor⟩
|
||||
instance : ShiftLeft Int64 := ⟨Int64.shiftLeft⟩
|
||||
instance : ShiftRight Int64 := ⟨Int64.shiftRight⟩
|
||||
instance : DecidableEq Int64 := Int64.decEq
|
||||
@@ -1946,7 +1946,7 @@ instance : LE ISize := ⟨ISize.le⟩
|
||||
instance : Complement ISize := ⟨ISize.complement⟩
|
||||
instance : AndOp ISize := ⟨ISize.land⟩
|
||||
instance : OrOp ISize := ⟨ISize.lor⟩
|
||||
instance : XorOp ISize := ⟨ISize.xor⟩
|
||||
instance : Xor ISize := ⟨ISize.xor⟩
|
||||
instance : ShiftLeft ISize := ⟨ISize.shiftLeft⟩
|
||||
instance : ShiftRight ISize := ⟨ISize.shiftRight⟩
|
||||
instance : DecidableEq ISize := ISize.decEq
|
||||
|
||||
@@ -85,11 +85,11 @@ theorem Int64.toInt_inj {x y : Int64} : x.toInt = y.toInt ↔ x = y := ⟨Int64.
|
||||
theorem ISize.toInt.inj {x y : ISize} (h : x.toInt = y.toInt) : x = y := ISize.toBitVec.inj (BitVec.eq_of_toInt_eq h)
|
||||
theorem ISize.toInt_inj {x y : ISize} : x.toInt = y.toInt ↔ x = y := ⟨ISize.toInt.inj, fun h => h ▸ rfl⟩
|
||||
|
||||
@[simp, int_toBitVec] theorem Int8.toBitVec_neg (x : Int8) : (-x).toBitVec = -x.toBitVec := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int16.toBitVec_neg (x : Int16) : (-x).toBitVec = -x.toBitVec := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int32.toBitVec_neg (x : Int32) : (-x).toBitVec = -x.toBitVec := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int64.toBitVec_neg (x : Int64) : (-x).toBitVec = -x.toBitVec := (rfl)
|
||||
@[simp, int_toBitVec] theorem ISize.toBitVec_neg (x : ISize) : (-x).toBitVec = -x.toBitVec := (rfl)
|
||||
@[simp] theorem Int8.toBitVec_neg (x : Int8) : (-x).toBitVec = -x.toBitVec := (rfl)
|
||||
@[simp] theorem Int16.toBitVec_neg (x : Int16) : (-x).toBitVec = -x.toBitVec := (rfl)
|
||||
@[simp] theorem Int32.toBitVec_neg (x : Int32) : (-x).toBitVec = -x.toBitVec := (rfl)
|
||||
@[simp] theorem Int64.toBitVec_neg (x : Int64) : (-x).toBitVec = -x.toBitVec := (rfl)
|
||||
@[simp] theorem ISize.toBitVec_neg (x : ISize) : (-x).toBitVec = -x.toBitVec := (rfl)
|
||||
|
||||
@[simp] theorem Int8.toBitVec_zero : toBitVec 0 = 0#8 := (rfl)
|
||||
@[simp] theorem Int16.toBitVec_zero : toBitVec 0 = 0#16 := (rfl)
|
||||
@@ -103,11 +103,11 @@ theorem Int32.toBitVec_one : (1 : Int32).toBitVec = 1#32 := (rfl)
|
||||
theorem Int64.toBitVec_one : (1 : Int64).toBitVec = 1#64 := (rfl)
|
||||
theorem ISize.toBitVec_one : (1 : ISize).toBitVec = 1#System.Platform.numBits := (rfl)
|
||||
|
||||
@[simp, int_toBitVec] theorem Int8.toBitVec_ofInt (i : Int) : (ofInt i).toBitVec = BitVec.ofInt _ i := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int16.toBitVec_ofInt (i : Int) : (ofInt i).toBitVec = BitVec.ofInt _ i := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int32.toBitVec_ofInt (i : Int) : (ofInt i).toBitVec = BitVec.ofInt _ i := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int64.toBitVec_ofInt (i : Int) : (ofInt i).toBitVec = BitVec.ofInt _ i := (rfl)
|
||||
@[simp, int_toBitVec] theorem ISize.toBitVec_ofInt (i : Int) : (ofInt i).toBitVec = BitVec.ofInt _ i := (rfl)
|
||||
@[simp] theorem Int8.toBitVec_ofInt (i : Int) : (ofInt i).toBitVec = BitVec.ofInt _ i := (rfl)
|
||||
@[simp] theorem Int16.toBitVec_ofInt (i : Int) : (ofInt i).toBitVec = BitVec.ofInt _ i := (rfl)
|
||||
@[simp] theorem Int32.toBitVec_ofInt (i : Int) : (ofInt i).toBitVec = BitVec.ofInt _ i := (rfl)
|
||||
@[simp] theorem Int64.toBitVec_ofInt (i : Int) : (ofInt i).toBitVec = BitVec.ofInt _ i := (rfl)
|
||||
@[simp] theorem ISize.toBitVec_ofInt (i : Int) : (ofInt i).toBitVec = BitVec.ofInt _ i := (rfl)
|
||||
|
||||
@[simp] protected theorem Int8.neg_zero : -(0 : Int8) = 0 := (rfl)
|
||||
@[simp] protected theorem Int16.neg_zero : -(0 : Int16) = 0 := (rfl)
|
||||
@@ -271,11 +271,11 @@ theorem ISize.toInt_maxValue : ISize.maxValue.toInt = 2 ^ (System.Platform.numBi
|
||||
rw [toNatClampNeg, toInt_minValue]
|
||||
cases System.Platform.numBits_eq <;> simp_all
|
||||
|
||||
@[simp, int_toBitVec] theorem UInt8.toBitVec_toInt8 (x : UInt8) : x.toInt8.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt16.toBitVec_toInt16 (x : UInt16) : x.toInt16.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt32.toBitVec_toInt32 (x : UInt32) : x.toInt32.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt64.toBitVec_toInt64 (x : UInt64) : x.toInt64.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp, int_toBitVec] theorem USize.toBitVec_toISize (x : USize) : x.toISize.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp] theorem UInt8.toBitVec_toInt8 (x : UInt8) : x.toInt8.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp] theorem UInt16.toBitVec_toInt16 (x : UInt16) : x.toInt16.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp] theorem UInt32.toBitVec_toInt32 (x : UInt32) : x.toInt32.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp] theorem UInt64.toBitVec_toInt64 (x : UInt64) : x.toInt64.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp] theorem USize.toBitVec_toISize (x : USize) : x.toISize.toBitVec = x.toBitVec := (rfl)
|
||||
|
||||
@[simp] theorem Int8.ofBitVec_uInt8ToBitVec (x : UInt8) : Int8.ofBitVec x.toBitVec = x.toInt8 := (rfl)
|
||||
@[simp] theorem Int16.ofBitVec_uInt16ToBitVec (x : UInt16) : Int16.ofBitVec x.toBitVec = x.toInt16 := (rfl)
|
||||
@@ -301,30 +301,30 @@ theorem ISize.toInt_maxValue : ISize.maxValue.toInt = 2 ^ (System.Platform.numBi
|
||||
@[simp] theorem Int64.toInt_toBitVec (x : Int64) : x.toBitVec.toInt = x.toInt := (rfl)
|
||||
@[simp] theorem ISize.toInt_toBitVec (x : ISize) : x.toBitVec.toInt = x.toInt := (rfl)
|
||||
|
||||
@[simp, int_toBitVec] theorem Int8.toBitVec_toInt16 (x : Int8) : x.toInt16.toBitVec = x.toBitVec.signExtend 16 := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int8.toBitVec_toInt32 (x : Int8) : x.toInt32.toBitVec = x.toBitVec.signExtend 32 := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int8.toBitVec_toInt64 (x : Int8) : x.toInt64.toBitVec = x.toBitVec.signExtend 64 := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int8.toBitVec_toISize (x : Int8) : x.toISize.toBitVec = x.toBitVec.signExtend System.Platform.numBits := (rfl)
|
||||
@[simp] theorem Int8.toBitVec_toInt16 (x : Int8) : x.toInt16.toBitVec = x.toBitVec.signExtend 16 := (rfl)
|
||||
@[simp] theorem Int8.toBitVec_toInt32 (x : Int8) : x.toInt32.toBitVec = x.toBitVec.signExtend 32 := (rfl)
|
||||
@[simp] theorem Int8.toBitVec_toInt64 (x : Int8) : x.toInt64.toBitVec = x.toBitVec.signExtend 64 := (rfl)
|
||||
@[simp] theorem Int8.toBitVec_toISize (x : Int8) : x.toISize.toBitVec = x.toBitVec.signExtend System.Platform.numBits := (rfl)
|
||||
|
||||
@[simp, int_toBitVec] theorem Int16.toBitVec_toInt8 (x : Int16) : x.toInt8.toBitVec = x.toBitVec.signExtend 8 := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int16.toBitVec_toInt32 (x : Int16) : x.toInt32.toBitVec = x.toBitVec.signExtend 32 := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int16.toBitVec_toInt64 (x : Int16) : x.toInt64.toBitVec = x.toBitVec.signExtend 64 := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int16.toBitVec_toISize (x : Int16) : x.toISize.toBitVec = x.toBitVec.signExtend System.Platform.numBits := (rfl)
|
||||
@[simp] theorem Int16.toBitVec_toInt8 (x : Int16) : x.toInt8.toBitVec = x.toBitVec.signExtend 8 := (rfl)
|
||||
@[simp] theorem Int16.toBitVec_toInt32 (x : Int16) : x.toInt32.toBitVec = x.toBitVec.signExtend 32 := (rfl)
|
||||
@[simp] theorem Int16.toBitVec_toInt64 (x : Int16) : x.toInt64.toBitVec = x.toBitVec.signExtend 64 := (rfl)
|
||||
@[simp] theorem Int16.toBitVec_toISize (x : Int16) : x.toISize.toBitVec = x.toBitVec.signExtend System.Platform.numBits := (rfl)
|
||||
|
||||
@[simp, int_toBitVec] theorem Int32.toBitVec_toInt8 (x : Int32) : x.toInt8.toBitVec = x.toBitVec.signExtend 8 := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int32.toBitVec_toInt16 (x : Int32) : x.toInt16.toBitVec = x.toBitVec.signExtend 16 := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int32.toBitVec_toInt64 (x : Int32) : x.toInt64.toBitVec = x.toBitVec.signExtend 64 := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int32.toBitVec_toISize (x : Int32) : x.toISize.toBitVec = x.toBitVec.signExtend System.Platform.numBits := (rfl)
|
||||
@[simp] theorem Int32.toBitVec_toInt8 (x : Int32) : x.toInt8.toBitVec = x.toBitVec.signExtend 8 := (rfl)
|
||||
@[simp] theorem Int32.toBitVec_toInt16 (x : Int32) : x.toInt16.toBitVec = x.toBitVec.signExtend 16 := (rfl)
|
||||
@[simp] theorem Int32.toBitVec_toInt64 (x : Int32) : x.toInt64.toBitVec = x.toBitVec.signExtend 64 := (rfl)
|
||||
@[simp] theorem Int32.toBitVec_toISize (x : Int32) : x.toISize.toBitVec = x.toBitVec.signExtend System.Platform.numBits := (rfl)
|
||||
|
||||
@[simp, int_toBitVec] theorem Int64.toBitVec_toInt8 (x : Int64) : x.toInt8.toBitVec = x.toBitVec.signExtend 8 := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int64.toBitVec_toInt16 (x : Int64) : x.toInt16.toBitVec = x.toBitVec.signExtend 16 := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int64.toBitVec_toInt32 (x : Int64) : x.toInt32.toBitVec = x.toBitVec.signExtend 32 := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int64.toBitVec_toISize (x : Int64) : x.toISize.toBitVec = x.toBitVec.signExtend System.Platform.numBits := (rfl)
|
||||
@[simp] theorem Int64.toBitVec_toInt8 (x : Int64) : x.toInt8.toBitVec = x.toBitVec.signExtend 8 := (rfl)
|
||||
@[simp] theorem Int64.toBitVec_toInt16 (x : Int64) : x.toInt16.toBitVec = x.toBitVec.signExtend 16 := (rfl)
|
||||
@[simp] theorem Int64.toBitVec_toInt32 (x : Int64) : x.toInt32.toBitVec = x.toBitVec.signExtend 32 := (rfl)
|
||||
@[simp] theorem Int64.toBitVec_toISize (x : Int64) : x.toISize.toBitVec = x.toBitVec.signExtend System.Platform.numBits := (rfl)
|
||||
|
||||
@[simp, int_toBitVec] theorem ISize.toBitVec_toInt8 (x : ISize) : x.toInt8.toBitVec = x.toBitVec.signExtend 8 := (rfl)
|
||||
@[simp, int_toBitVec] theorem ISize.toBitVec_toInt16 (x : ISize) : x.toInt16.toBitVec = x.toBitVec.signExtend 16 := (rfl)
|
||||
@[simp, int_toBitVec] theorem ISize.toBitVec_toInt32 (x : ISize) : x.toInt32.toBitVec = x.toBitVec.signExtend 32 := (rfl)
|
||||
@[simp, int_toBitVec] theorem ISize.toBitVec_toInt64 (x : ISize) : x.toInt64.toBitVec = x.toBitVec.signExtend 64 := (rfl)
|
||||
@[simp] theorem ISize.toBitVec_toInt8 (x : ISize) : x.toInt8.toBitVec = x.toBitVec.signExtend 8 := (rfl)
|
||||
@[simp] theorem ISize.toBitVec_toInt16 (x : ISize) : x.toInt16.toBitVec = x.toBitVec.signExtend 16 := (rfl)
|
||||
@[simp] theorem ISize.toBitVec_toInt32 (x : ISize) : x.toInt32.toBitVec = x.toBitVec.signExtend 32 := (rfl)
|
||||
@[simp] theorem ISize.toBitVec_toInt64 (x : ISize) : x.toInt64.toBitVec = x.toBitVec.signExtend 64 := (rfl)
|
||||
|
||||
theorem Int8.toInt_lt (x : Int8) : x.toInt < 2 ^ 7 := Int.lt_of_mul_lt_mul_left BitVec.two_mul_toInt_lt (by decide)
|
||||
theorem Int8.le_toInt (x : Int8) : -2 ^ 7 ≤ x.toInt := Int.le_of_mul_le_mul_left BitVec.le_two_mul_toInt (by decide)
|
||||
@@ -507,11 +507,11 @@ theorem Int32.toFin_toBitVec (x : Int32) : x.toBitVec.toFin = x.toUInt32.toFin :
|
||||
theorem Int64.toFin_toBitVec (x : Int64) : x.toBitVec.toFin = x.toUInt64.toFin := (rfl)
|
||||
theorem ISize.toFin_toBitVec (x : ISize) : x.toBitVec.toFin = x.toUSize.toFin := (rfl)
|
||||
|
||||
@[simp, int_toBitVec] theorem Int8.toBitVec_toUInt8 (x : Int8) : x.toUInt8.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int16.toBitVec_toUInt16 (x : Int16) : x.toUInt16.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int32.toBitVec_toUInt32 (x : Int32) : x.toUInt32.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int64.toBitVec_toUInt64 (x : Int64) : x.toUInt64.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp, int_toBitVec] theorem ISize.toBitVec_toUSize (x : ISize) : x.toUSize.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp] theorem Int8.toBitVec_toUInt8 (x : Int8) : x.toUInt8.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp] theorem Int16.toBitVec_toUInt16 (x : Int16) : x.toUInt16.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp] theorem Int32.toBitVec_toUInt32 (x : Int32) : x.toUInt32.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp] theorem Int64.toBitVec_toUInt64 (x : Int64) : x.toUInt64.toBitVec = x.toBitVec := (rfl)
|
||||
@[simp] theorem ISize.toBitVec_toUSize (x : ISize) : x.toUSize.toBitVec = x.toBitVec := (rfl)
|
||||
|
||||
@[simp] theorem UInt8.ofBitVec_int8ToBitVec (x : Int8) : UInt8.ofBitVec x.toBitVec = x.toUInt8 := (rfl)
|
||||
@[simp] theorem UInt16.ofBitVec_int16ToBitVec (x : Int16) : UInt16.ofBitVec x.toBitVec = x.toUInt16 := (rfl)
|
||||
@@ -1001,11 +1001,11 @@ theorem USize.toISize_ofNatLT {n : Nat} (hn) : (USize.ofNatLT n hn).toISize = IS
|
||||
@[simp] theorem UInt64.toInt64_ofBitVec (b) : (UInt64.ofBitVec b).toInt64 = Int64.ofBitVec b := (rfl)
|
||||
@[simp] theorem USize.toISize_ofBitVec (b) : (USize.ofBitVec b).toISize = ISize.ofBitVec b := (rfl)
|
||||
|
||||
@[simp, int_toBitVec] theorem Int8.toBitVec_ofBitVec (b) : (Int8.ofBitVec b).toBitVec = b := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int16.toBitVec_ofBitVec (b) : (Int16.ofBitVec b).toBitVec = b := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int32.toBitVec_ofBitVec (b) : (Int32.ofBitVec b).toBitVec = b := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int64.toBitVec_ofBitVec (b) : (Int64.ofBitVec b).toBitVec = b := (rfl)
|
||||
@[simp, int_toBitVec] theorem ISize.toBitVec_ofBitVec (b) : (ISize.ofBitVec b).toBitVec = b := (rfl)
|
||||
@[simp] theorem Int8.toBitVec_ofBitVec (b) : (Int8.ofBitVec b).toBitVec = b := (rfl)
|
||||
@[simp] theorem Int16.toBitVec_ofBitVec (b) : (Int16.ofBitVec b).toBitVec = b := (rfl)
|
||||
@[simp] theorem Int32.toBitVec_ofBitVec (b) : (Int32.ofBitVec b).toBitVec = b := (rfl)
|
||||
@[simp] theorem Int64.toBitVec_ofBitVec (b) : (Int64.ofBitVec b).toBitVec = b := (rfl)
|
||||
@[simp] theorem ISize.toBitVec_ofBitVec (b) : (ISize.ofBitVec b).toBitVec = b := (rfl)
|
||||
|
||||
theorem Int8.toBitVec_ofIntTruncate {n : Int} (h₁ : Int8.minValue.toInt ≤ n) (h₂ : n ≤ Int8.maxValue.toInt) :
|
||||
(Int8.ofIntTruncate n).toBitVec = BitVec.ofInt _ n := by
|
||||
@@ -1069,7 +1069,7 @@ theorem Int8.toNatClampNeg_ofIntTruncate_of_lt {n : Int} (h₁ : n < 2 ^ 7) :
|
||||
rw [ofIntTruncate]
|
||||
split
|
||||
· rw [dif_pos (by rw [toInt_maxValue]; omega), toNatClampNeg_ofIntLE]
|
||||
next h =>
|
||||
· next h =>
|
||||
rw [toNatClampNeg_minValue, eq_comm, Int.toNat_eq_zero]
|
||||
rw [toInt_minValue] at h
|
||||
omega
|
||||
@@ -1078,7 +1078,7 @@ theorem Int16.toNatClampNeg_ofIntTruncate_of_lt {n : Int} (h₁ : n < 2 ^ 15) :
|
||||
rw [ofIntTruncate]
|
||||
split
|
||||
· rw [dif_pos (by rw [toInt_maxValue]; omega), toNatClampNeg_ofIntLE]
|
||||
next h =>
|
||||
· next h =>
|
||||
rw [toNatClampNeg_minValue, eq_comm, Int.toNat_eq_zero]
|
||||
rw [toInt_minValue] at h
|
||||
omega
|
||||
@@ -1087,7 +1087,7 @@ theorem Int32.toNatClampNeg_ofIntTruncate_of_lt {n : Int} (h₁ : n < 2 ^ 31) :
|
||||
rw [ofIntTruncate]
|
||||
split
|
||||
· rw [dif_pos (by rw [toInt_maxValue]; omega), toNatClampNeg_ofIntLE]
|
||||
next h =>
|
||||
· next h =>
|
||||
rw [toNatClampNeg_minValue, eq_comm, Int.toNat_eq_zero]
|
||||
rw [toInt_minValue] at h
|
||||
omega
|
||||
@@ -1096,7 +1096,7 @@ theorem Int64.toNatClampNeg_ofIntTruncate_of_lt {n : Int} (h₁ : n < 2 ^ 63) :
|
||||
rw [ofIntTruncate]
|
||||
split
|
||||
· rw [dif_pos (by rw [toInt_maxValue]; omega), toNatClampNeg_ofIntLE]
|
||||
next h =>
|
||||
· next h =>
|
||||
rw [toNatClampNeg_minValue, eq_comm, Int.toNat_eq_zero]
|
||||
rw [toInt_minValue] at h
|
||||
omega
|
||||
@@ -1105,7 +1105,7 @@ theorem ISize.toNatClampNeg_ofIntTruncate_of_lt_two_pow_numBits {n : Int} (h₁
|
||||
rw [ofIntTruncate]
|
||||
split
|
||||
· rw [dif_pos (by rw [toInt_maxValue]; omega), toNatClampNeg_ofIntLE]
|
||||
next h =>
|
||||
· next h =>
|
||||
rw [toNatClampNeg_minValue, eq_comm, Int.toNat_eq_zero]
|
||||
rw [toInt_minValue] at h
|
||||
omega
|
||||
@@ -1281,11 +1281,11 @@ theorem Int64.toISize_ofIntTruncate {n : Int} (h₁ : -2 ^ 63 ≤ n) (h₂ : n <
|
||||
(Int64.ofIntTruncate n).toISize = ISize.ofInt n := by
|
||||
rw [← ofIntLE_eq_ofIntTruncate (h₁ := h₁) (h₂ := Int.le_of_lt_add_one h₂), toISize_ofIntLE]
|
||||
|
||||
@[simp, int_toBitVec] theorem Int8.toBitVec_minValue : minValue.toBitVec = BitVec.intMin _ := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int16.toBitVec_minValue : minValue.toBitVec = BitVec.intMin _ := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int32.toBitVec_minValue : minValue.toBitVec = BitVec.intMin _ := (rfl)
|
||||
@[simp, int_toBitVec] theorem Int64.toBitVec_minValue : minValue.toBitVec = BitVec.intMin _ := (rfl)
|
||||
@[simp, int_toBitVec] theorem ISize.toBitVec_minValue : minValue.toBitVec = BitVec.intMin _ :=
|
||||
@[simp] theorem Int8.toBitVec_minValue : minValue.toBitVec = BitVec.intMin _ := (rfl)
|
||||
@[simp] theorem Int16.toBitVec_minValue : minValue.toBitVec = BitVec.intMin _ := (rfl)
|
||||
@[simp] theorem Int32.toBitVec_minValue : minValue.toBitVec = BitVec.intMin _ := (rfl)
|
||||
@[simp] theorem Int64.toBitVec_minValue : minValue.toBitVec = BitVec.intMin _ := (rfl)
|
||||
@[simp] theorem ISize.toBitVec_minValue : minValue.toBitVec = BitVec.intMin _ :=
|
||||
BitVec.eq_of_toInt_eq (by rw [toInt_toBitVec, toInt_minValue,
|
||||
BitVec.toInt_intMin_of_pos (by cases System.Platform.numBits_eq <;> simp_all)])
|
||||
|
||||
|
||||
@@ -99,34 +99,17 @@ none
|
||||
def Subarray.foldlM {α : Type u} {β : Type v} {m : Type v → Type w} [Monad m] (f : β → α → m β) (init : β) (as : Subarray α) : m β :=
|
||||
Slice.foldlM f (init := init) as
|
||||
|
||||
/--
|
||||
Folds an operation from left to right over the elements in a subarray.
|
||||
An accumulator of type `β` is constructed by starting with `init` and combining each
|
||||
element of the subarray with the current accumulator value in turn.
|
||||
Examples:
|
||||
* `#["red", "green", "blue"].toSubarray.foldl (· + ·.length) 0 = 12`
|
||||
* `#["red", "green", "blue"].toSubarray.popFront.foldl (· + ·.length) 0 = 9`
|
||||
-/
|
||||
@[inline]
|
||||
def Subarray.foldl {α : Type u} {β : Type v} (f : β → α → β) (init : β) (as : Subarray α) : β :=
|
||||
Slice.foldl f (init := init) as
|
||||
|
||||
/--
|
||||
The implementation of `ForIn.forIn` for `Subarray`, which allows it to be used with `for` loops in
|
||||
`do`-notation.
|
||||
-/
|
||||
@[inline]
|
||||
def Subarray.forIn {α : Type u} {β : Type v} {m : Type v → Type w} [Monad m] (s : Subarray α) (b : β) (f : α → β → m (ForInStep β)) : m β :=
|
||||
ForIn.forIn s b f
|
||||
|
||||
namespace Array
|
||||
|
||||
/--
|
||||
Allocates a new array that contains the contents of the subarray.
|
||||
-/
|
||||
@[coe]
|
||||
def ofSubarray (s : Subarray α) : Array α :=
|
||||
Slice.toArray s
|
||||
def ofSubarray (s : Subarray α) : Array α := Id.run do
|
||||
let mut as := mkEmpty (s.stop - s.start)
|
||||
for a in s do
|
||||
as := as.push a
|
||||
return as
|
||||
|
||||
instance : Coe (Subarray α) (Array α) := ⟨ofSubarray⟩
|
||||
|
||||
@@ -146,7 +129,3 @@ instance [ToString α] : ToString (Subarray α) where
|
||||
toString s := toString s.toArray
|
||||
|
||||
end Array
|
||||
|
||||
@[inherit_doc Array.ofSubarray]
|
||||
def Subarray.toArray (s : Subarray α) : Array α :=
|
||||
Array.ofSubarray s
|
||||
|
||||
@@ -36,7 +36,7 @@ instance : LT String :=
|
||||
instance decidableLT (s₁ s₂ : @& String) : Decidable (s₁ < s₂) :=
|
||||
List.decidableLT s₁.data s₂.data
|
||||
|
||||
|
||||
@[deprecated decidableLT (since := "2024-12-13")] abbrev decLt := @decidableLT
|
||||
|
||||
/--
|
||||
Non-strict inequality on strings, typically used via the `≤` operator.
|
||||
@@ -220,22 +220,22 @@ If both the replacement character and the replaced character are 7-bit ASCII cha
|
||||
string is not shared, then it is updated in-place and not copied.
|
||||
|
||||
Examples:
|
||||
* `"abc".modify ⟨1⟩ Char.toUpper = "aBc"`
|
||||
* `"abc".modify ⟨3⟩ Char.toUpper = "abc"`
|
||||
* `abc.modify ⟨1⟩ Char.toUpper = "aBc"`
|
||||
* `abc.modify ⟨3⟩ Char.toUpper = "abc"`
|
||||
-/
|
||||
def modify (s : String) (i : Pos) (f : Char → Char) : String :=
|
||||
s.set i <| f <| s.get i
|
||||
|
||||
/--
|
||||
Returns the next position in a string after position `p`. If `p` is not a valid position or
|
||||
`p = s.endPos`, returns the position one byte after `p`.
|
||||
Returns the next position in a string after position `p`. The result is unspecified if `p` is not a
|
||||
valid position or if `p = s.endPos`.
|
||||
|
||||
A run-time bounds check is performed to determine whether `p` is at the end of the string. If a
|
||||
bounds check has already been performed, use `String.next'` to avoid a repeated check.
|
||||
|
||||
Some examples of edge cases:
|
||||
* `"abc".next ⟨3⟩ = ⟨4⟩`, since `3 = "abc".endPos`
|
||||
* `"L∃∀N".next ⟨2⟩ = ⟨3⟩`, since `2` points into the middle of a multi-byte UTF-8 character
|
||||
Some examples where the result is unspecified:
|
||||
* `"abc".next ⟨3⟩`, since `3 = "abc".endPos`
|
||||
* `"L∃∀N".next ⟨2⟩`, since `2` points into the middle of a multi-byte UTF-8 character
|
||||
|
||||
Examples:
|
||||
* `"abc".get ("abc".next 0) = 'b'`
|
||||
@@ -247,18 +247,17 @@ def next (s : @& String) (p : @& Pos) : Pos :=
|
||||
p + c
|
||||
|
||||
def utf8PrevAux : List Char → Pos → Pos → Pos
|
||||
| [], _, p => ⟨p.byteIdx - 1⟩
|
||||
| [], _, _ => 0
|
||||
| c::cs, i, p =>
|
||||
let i' := i + c
|
||||
if p ≤ i' then i else utf8PrevAux cs i' p
|
||||
if i' = p then i else utf8PrevAux cs i' p
|
||||
|
||||
/--
|
||||
Returns the position in a string before a specified position, `p`. If `p = ⟨0⟩`, returns `0`. If `p`
|
||||
is greater than `endPos`, returns the position one byte before `p`. Otherwise, if `p` occurs in the
|
||||
middle of a multi-byte character, returns the beginning position of that character.
|
||||
is not a valid position, the result is unspecified.
|
||||
|
||||
For example, `"L∃∀N".prev ⟨3⟩` is `⟨1⟩`, since byte 3 occurs in the middle of the multi-byte
|
||||
character `'∃'` that starts at byte 1.
|
||||
For example, `"L∃∀N".prev ⟨3⟩` is unspecified, since byte 3 occurs in the middle of the multi-byte
|
||||
character `'∃'`.
|
||||
|
||||
Examples:
|
||||
* `"abc".get ("abc".endPos |> "abc".prev) = 'c'`
|
||||
@@ -266,7 +265,7 @@ Examples:
|
||||
-/
|
||||
@[extern "lean_string_utf8_prev", expose]
|
||||
def prev : (@& String) → (@& Pos) → Pos
|
||||
| ⟨s⟩, p => utf8PrevAux s 0 p
|
||||
| ⟨s⟩, p => if p = 0 then 0 else utf8PrevAux s 0 p
|
||||
|
||||
/--
|
||||
Returns the first character in `s`. If `s = ""`, returns `(default : Char)`.
|
||||
@@ -301,7 +300,7 @@ Examples:
|
||||
* `"L∃∀N".atEnd ⟨7⟩ = false`
|
||||
* `"L∃∀N".atEnd ⟨8⟩ = true`
|
||||
-/
|
||||
@[extern "lean_string_utf8_at_end", expose]
|
||||
@[extern "lean_string_utf8_at_end"]
|
||||
def atEnd : (@& String) → (@& Pos) → Bool
|
||||
| s, p => p.byteIdx ≥ utf8ByteSize s
|
||||
|
||||
@@ -340,7 +339,7 @@ Requires evidence, `h`, that `p` is within bounds. No run-time bounds check is p
|
||||
A typical pattern combines `String.next'` with a dependent `if`-expression to avoid the overhead of
|
||||
an additional bounds check. For example:
|
||||
```
|
||||
def next? (s : String) (p : String.Pos) : Option Char :=
|
||||
def next? (s: String) (p : String.Pos) : Option Char :=
|
||||
if h : s.atEnd p then none else s.get (s.next' p h)
|
||||
```
|
||||
|
||||
@@ -370,17 +369,20 @@ protected theorem Pos.ne_zero_of_lt : {a b : Pos} → a < b → b ≠ 0
|
||||
theorem lt_next (s : String) (i : Pos) : i.1 < (s.next i).1 :=
|
||||
Nat.add_lt_add_left (Char.utf8Size_pos _) _
|
||||
|
||||
theorem utf8PrevAux_lt_of_pos : ∀ (cs : List Char) (i p : Pos), i < p → p ≠ 0 →
|
||||
theorem utf8PrevAux_lt_of_pos : ∀ (cs : List Char) (i p : Pos), p ≠ 0 →
|
||||
(utf8PrevAux cs i p).1 < p.1
|
||||
| [], _, _, _, h => Nat.sub_one_lt (mt (congrArg Pos.mk) h)
|
||||
| c::cs, i, p, h, h' => by
|
||||
| [], _, _, h =>
|
||||
Nat.lt_of_le_of_lt (Nat.zero_le _)
|
||||
(Nat.zero_lt_of_ne_zero (mt (congrArg Pos.mk) h))
|
||||
| c::cs, i, p, h => by
|
||||
simp [utf8PrevAux]
|
||||
apply iteInduction (motive := (Pos.byteIdx · < _)) <;> intro h''
|
||||
next => exact h
|
||||
next => exact utf8PrevAux_lt_of_pos _ _ _ (Nat.lt_of_not_le h'') h'
|
||||
apply iteInduction (motive := (Pos.byteIdx · < _)) <;> intro h'
|
||||
next => exact h' ▸ Nat.add_lt_add_left (Char.utf8Size_pos _) _
|
||||
next => exact utf8PrevAux_lt_of_pos _ _ _ h
|
||||
|
||||
theorem prev_lt_of_pos (s : String) (i : Pos) (h : i ≠ 0) : (s.prev i).1 < i.1 :=
|
||||
utf8PrevAux_lt_of_pos _ _ _ (Nat.zero_lt_of_ne_zero (mt (congrArg Pos.mk) h)) h
|
||||
theorem prev_lt_of_pos (s : String) (i : Pos) (h : i ≠ 0) : (s.prev i).1 < i.1 := by
|
||||
simp [prev, h]
|
||||
exact utf8PrevAux_lt_of_pos _ _ _ h
|
||||
|
||||
def posOfAux (s : String) (c : Char) (stopPos : Pos) (pos : Pos) : Pos :=
|
||||
if h : pos < stopPos then
|
||||
@@ -417,7 +419,7 @@ Returns the position of the last occurrence of a character, `c`, in a string `s`
|
||||
contain `c`, returns `none`.
|
||||
|
||||
Examples:
|
||||
* `"abcabc".revPosOf 'a' = some ⟨3⟩`
|
||||
* `"abcabc".refPosOf 'a' = some ⟨3⟩`
|
||||
* `"abcabc".revPosOf 'z' = none`
|
||||
* `"L∃∀N".revPosOf '∀' = some ⟨4⟩`
|
||||
-/
|
||||
@@ -652,7 +654,7 @@ Use `String.intercalate` to place a separator string between the strings in a li
|
||||
|
||||
Examples:
|
||||
* `String.join ["gr", "ee", "n"] = "green"`
|
||||
* `String.join ["b", "", "l", "", "ue"] = "blue"`
|
||||
* `String.join ["b", "", "l", "", "ue"] = "red"`
|
||||
* `String.join [] = ""`
|
||||
-/
|
||||
@[inline] def join (l : List String) : String :=
|
||||
@@ -2066,11 +2068,7 @@ end Pos
|
||||
|
||||
theorem lt_next' (s : String) (p : Pos) : p < next s p := lt_next ..
|
||||
|
||||
@[simp] theorem prev_zero (s : String) : prev s 0 = 0 := by
|
||||
cases s with | mk cs
|
||||
cases cs
|
||||
next => rfl
|
||||
next => simp [prev, utf8PrevAux, Pos.le_iff]
|
||||
@[simp] theorem prev_zero (s : String) : prev s 0 = 0 := rfl
|
||||
|
||||
@[simp] theorem get'_eq (s : String) (p : Pos) (h) : get' s p h = get s p := rfl
|
||||
|
||||
|
||||
@@ -9,7 +9,7 @@ prelude
|
||||
public import Init.Data.UInt.BasicAux
|
||||
public import Init.Data.BitVec.Basic
|
||||
|
||||
@[expose] public section
|
||||
public section
|
||||
|
||||
set_option linter.missingDocs true
|
||||
|
||||
@@ -183,7 +183,7 @@ instance : Complement UInt8 := ⟨UInt8.complement⟩
|
||||
instance : Neg UInt8 := ⟨UInt8.neg⟩
|
||||
instance : AndOp UInt8 := ⟨UInt8.land⟩
|
||||
instance : OrOp UInt8 := ⟨UInt8.lor⟩
|
||||
instance : XorOp UInt8 := ⟨UInt8.xor⟩
|
||||
instance : Xor UInt8 := ⟨UInt8.xor⟩
|
||||
instance : ShiftLeft UInt8 := ⟨UInt8.shiftLeft⟩
|
||||
instance : ShiftRight UInt8 := ⟨UInt8.shiftRight⟩
|
||||
|
||||
@@ -397,7 +397,7 @@ instance : Complement UInt16 := ⟨UInt16.complement⟩
|
||||
instance : Neg UInt16 := ⟨UInt16.neg⟩
|
||||
instance : AndOp UInt16 := ⟨UInt16.land⟩
|
||||
instance : OrOp UInt16 := ⟨UInt16.lor⟩
|
||||
instance : XorOp UInt16 := ⟨UInt16.xor⟩
|
||||
instance : Xor UInt16 := ⟨UInt16.xor⟩
|
||||
instance : ShiftLeft UInt16 := ⟨UInt16.shiftLeft⟩
|
||||
instance : ShiftRight UInt16 := ⟨UInt16.shiftRight⟩
|
||||
|
||||
@@ -614,7 +614,7 @@ instance : Complement UInt32 := ⟨UInt32.complement⟩
|
||||
instance : Neg UInt32 := ⟨UInt32.neg⟩
|
||||
instance : AndOp UInt32 := ⟨UInt32.land⟩
|
||||
instance : OrOp UInt32 := ⟨UInt32.lor⟩
|
||||
instance : XorOp UInt32 := ⟨UInt32.xor⟩
|
||||
instance : Xor UInt32 := ⟨UInt32.xor⟩
|
||||
instance : ShiftLeft UInt32 := ⟨UInt32.shiftLeft⟩
|
||||
instance : ShiftRight UInt32 := ⟨UInt32.shiftRight⟩
|
||||
|
||||
@@ -792,7 +792,7 @@ instance : Complement UInt64 := ⟨UInt64.complement⟩
|
||||
instance : Neg UInt64 := ⟨UInt64.neg⟩
|
||||
instance : AndOp UInt64 := ⟨UInt64.land⟩
|
||||
instance : OrOp UInt64 := ⟨UInt64.lor⟩
|
||||
instance : XorOp UInt64 := ⟨UInt64.xor⟩
|
||||
instance : Xor UInt64 := ⟨UInt64.xor⟩
|
||||
instance : ShiftLeft UInt64 := ⟨UInt64.shiftLeft⟩
|
||||
instance : ShiftRight UInt64 := ⟨UInt64.shiftRight⟩
|
||||
|
||||
@@ -1056,7 +1056,7 @@ instance : Complement USize := ⟨USize.complement⟩
|
||||
instance : Neg USize := ⟨USize.neg⟩
|
||||
instance : AndOp USize := ⟨USize.land⟩
|
||||
instance : OrOp USize := ⟨USize.lor⟩
|
||||
instance : XorOp USize := ⟨USize.xor⟩
|
||||
instance : Xor USize := ⟨USize.xor⟩
|
||||
instance : ShiftLeft USize := ⟨USize.shiftLeft⟩
|
||||
instance : ShiftRight USize := ⟨USize.shiftRight⟩
|
||||
|
||||
|
||||
@@ -473,34 +473,34 @@ theorem USize.size_dvd_uInt64Size : USize.size ∣ UInt64.size := by cases USize
|
||||
|
||||
@[simp] theorem USize.toFin_toUInt64 (n : USize) : n.toUInt64.toFin = n.toFin.castLE size_le_uint64Size := (rfl)
|
||||
|
||||
@[simp, int_toBitVec] theorem UInt16.toBitVec_toUInt8 (n : UInt16) : n.toUInt8.toBitVec = n.toBitVec.setWidth 8 := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt32.toBitVec_toUInt8 (n : UInt32) : n.toUInt8.toBitVec = n.toBitVec.setWidth 8 := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt64.toBitVec_toUInt8 (n : UInt64) : n.toUInt8.toBitVec = n.toBitVec.setWidth 8 := (rfl)
|
||||
@[simp, int_toBitVec] theorem USize.toBitVec_toUInt8 (n : USize) : n.toUInt8.toBitVec = n.toBitVec.setWidth 8 := BitVec.eq_of_toNat_eq (by simp)
|
||||
@[simp] theorem UInt16.toBitVec_toUInt8 (n : UInt16) : n.toUInt8.toBitVec = n.toBitVec.setWidth 8 := (rfl)
|
||||
@[simp] theorem UInt32.toBitVec_toUInt8 (n : UInt32) : n.toUInt8.toBitVec = n.toBitVec.setWidth 8 := (rfl)
|
||||
@[simp] theorem UInt64.toBitVec_toUInt8 (n : UInt64) : n.toUInt8.toBitVec = n.toBitVec.setWidth 8 := (rfl)
|
||||
@[simp] theorem USize.toBitVec_toUInt8 (n : USize) : n.toUInt8.toBitVec = n.toBitVec.setWidth 8 := BitVec.eq_of_toNat_eq (by simp)
|
||||
|
||||
@[simp, int_toBitVec] theorem UInt8.toBitVec_toUInt16 (n : UInt8) : n.toUInt16.toBitVec = n.toBitVec.setWidth 16 := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt32.toBitVec_toUInt16 (n : UInt32) : n.toUInt16.toBitVec = n.toBitVec.setWidth 16 := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt64.toBitVec_toUInt16 (n : UInt64) : n.toUInt16.toBitVec = n.toBitVec.setWidth 16 := (rfl)
|
||||
@[simp, int_toBitVec] theorem USize.toBitVec_toUInt16 (n : USize) : n.toUInt16.toBitVec = n.toBitVec.setWidth 16 := BitVec.eq_of_toNat_eq (by simp)
|
||||
@[simp] theorem UInt8.toBitVec_toUInt16 (n : UInt8) : n.toUInt16.toBitVec = n.toBitVec.setWidth 16 := (rfl)
|
||||
@[simp] theorem UInt32.toBitVec_toUInt16 (n : UInt32) : n.toUInt16.toBitVec = n.toBitVec.setWidth 16 := (rfl)
|
||||
@[simp] theorem UInt64.toBitVec_toUInt16 (n : UInt64) : n.toUInt16.toBitVec = n.toBitVec.setWidth 16 := (rfl)
|
||||
@[simp] theorem USize.toBitVec_toUInt16 (n : USize) : n.toUInt16.toBitVec = n.toBitVec.setWidth 16 := BitVec.eq_of_toNat_eq (by simp)
|
||||
|
||||
@[simp, int_toBitVec] theorem UInt8.toBitVec_toUInt32 (n : UInt8) : n.toUInt32.toBitVec = n.toBitVec.setWidth 32 := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt16.toBitVec_toUInt32 (n : UInt16) : n.toUInt32.toBitVec = n.toBitVec.setWidth 32 := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt64.toBitVec_toUInt32 (n : UInt64) : n.toUInt32.toBitVec = n.toBitVec.setWidth 32 := (rfl)
|
||||
@[simp, int_toBitVec] theorem USize.toBitVec_toUInt32 (n : USize) : n.toUInt32.toBitVec = n.toBitVec.setWidth 32 := BitVec.eq_of_toNat_eq (by simp)
|
||||
@[simp] theorem UInt8.toBitVec_toUInt32 (n : UInt8) : n.toUInt32.toBitVec = n.toBitVec.setWidth 32 := (rfl)
|
||||
@[simp] theorem UInt16.toBitVec_toUInt32 (n : UInt16) : n.toUInt32.toBitVec = n.toBitVec.setWidth 32 := (rfl)
|
||||
@[simp] theorem UInt64.toBitVec_toUInt32 (n : UInt64) : n.toUInt32.toBitVec = n.toBitVec.setWidth 32 := (rfl)
|
||||
@[simp] theorem USize.toBitVec_toUInt32 (n : USize) : n.toUInt32.toBitVec = n.toBitVec.setWidth 32 := BitVec.eq_of_toNat_eq (by simp)
|
||||
|
||||
@[simp, int_toBitVec] theorem UInt8.toBitVec_toUInt64 (n : UInt8) : n.toUInt64.toBitVec = n.toBitVec.setWidth 64 := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt16.toBitVec_toUInt64 (n : UInt16) : n.toUInt64.toBitVec = n.toBitVec.setWidth 64 := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt32.toBitVec_toUInt64 (n : UInt32) : n.toUInt64.toBitVec = n.toBitVec.setWidth 64 := (rfl)
|
||||
@[simp, int_toBitVec] theorem USize.toBitVec_toUInt64 (n : USize) : n.toUInt64.toBitVec = n.toBitVec.setWidth 64 :=
|
||||
@[simp] theorem UInt8.toBitVec_toUInt64 (n : UInt8) : n.toUInt64.toBitVec = n.toBitVec.setWidth 64 := (rfl)
|
||||
@[simp] theorem UInt16.toBitVec_toUInt64 (n : UInt16) : n.toUInt64.toBitVec = n.toBitVec.setWidth 64 := (rfl)
|
||||
@[simp] theorem UInt32.toBitVec_toUInt64 (n : UInt32) : n.toUInt64.toBitVec = n.toBitVec.setWidth 64 := (rfl)
|
||||
@[simp] theorem USize.toBitVec_toUInt64 (n : USize) : n.toUInt64.toBitVec = n.toBitVec.setWidth 64 :=
|
||||
BitVec.eq_of_toNat_eq (by simp)
|
||||
|
||||
@[simp, int_toBitVec] theorem UInt8.toBitVec_toUSize (n : UInt8) : n.toUSize.toBitVec = n.toBitVec.setWidth System.Platform.numBits :=
|
||||
@[simp] theorem UInt8.toBitVec_toUSize (n : UInt8) : n.toUSize.toBitVec = n.toBitVec.setWidth System.Platform.numBits :=
|
||||
BitVec.eq_of_toNat_eq (by simp)
|
||||
@[simp, int_toBitVec] theorem UInt16.toBitVec_toUSize (n : UInt16) : n.toUSize.toBitVec = n.toBitVec.setWidth System.Platform.numBits :=
|
||||
@[simp] theorem UInt16.toBitVec_toUSize (n : UInt16) : n.toUSize.toBitVec = n.toBitVec.setWidth System.Platform.numBits :=
|
||||
BitVec.eq_of_toNat_eq (by simp)
|
||||
@[simp, int_toBitVec] theorem UInt32.toBitVec_toUSize (n : UInt32) : n.toUSize.toBitVec = n.toBitVec.setWidth System.Platform.numBits :=
|
||||
@[simp] theorem UInt32.toBitVec_toUSize (n : UInt32) : n.toUSize.toBitVec = n.toBitVec.setWidth System.Platform.numBits :=
|
||||
BitVec.eq_of_toNat_eq (by simp)
|
||||
@[simp, int_toBitVec] theorem UInt64.toBitVec_toUSize (n : UInt64) : n.toUSize.toBitVec = n.toBitVec.setWidth System.Platform.numBits :=
|
||||
@[simp] theorem UInt64.toBitVec_toUSize (n : UInt64) : n.toUSize.toBitVec = n.toBitVec.setWidth System.Platform.numBits :=
|
||||
BitVec.eq_of_toNat_eq (by simp)
|
||||
|
||||
@[simp] theorem UInt8.ofNatLT_toNat (n : UInt8) : UInt8.ofNatLT n.toNat n.toNat_lt = n := (rfl)
|
||||
@@ -885,9 +885,9 @@ theorem USize.ofNatTruncate_eq_ofNat (n : Nat) (hn : n < USize.size) :
|
||||
apply USize.toNat.inj
|
||||
simp only [UInt32.toNat_toUSize, toNat_toUInt32, Nat.reducePow, USize.toNat_mod]
|
||||
cases USize.size_eq
|
||||
next h => rw [Nat.mod_eq_of_lt (h ▸ n.toNat_lt_size), USize.toNat_ofNat,
|
||||
· next h => rw [Nat.mod_eq_of_lt (h ▸ n.toNat_lt_size), USize.toNat_ofNat,
|
||||
← USize.size_eq_two_pow, h, Nat.mod_self, Nat.mod_zero]
|
||||
next h => rw [USize.toNat_ofNat_of_lt]; simp_all
|
||||
· next h => rw [USize.toNat_ofNat_of_lt]; simp_all
|
||||
|
||||
-- Note: we are currently missing the following four results for which there does not seem to
|
||||
-- be a good candidate for the RHS:
|
||||
@@ -973,28 +973,28 @@ theorem USize.toFin_ofNatTruncate_of_le {n : Nat} (hn : USize.size ≤ n) :
|
||||
(USize.ofNatTruncate n).toFin = ⟨USize.size - 1, by cases USize.size_eq <;> simp_all⟩ :=
|
||||
Fin.val_inj.1 (by simp [toNat_ofNatTruncate_of_le hn])
|
||||
|
||||
@[simp, int_toBitVec] theorem UInt8.toBitVec_ofNatLT {n : Nat} (hn : n < UInt8.size) :
|
||||
@[simp] theorem UInt8.toBitVec_ofNatLT {n : Nat} (hn : n < UInt8.size) :
|
||||
(UInt8.ofNatLT n hn).toBitVec = BitVec.ofNatLT n hn := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt16.toBitVec_ofNatLT {n : Nat} (hn : n < UInt16.size) :
|
||||
@[simp] theorem UInt16.toBitVec_ofNatLT {n : Nat} (hn : n < UInt16.size) :
|
||||
(UInt16.ofNatLT n hn).toBitVec = BitVec.ofNatLT n hn := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt32.toBitVec_ofNatLT {n : Nat} (hn : n < UInt32.size) :
|
||||
@[simp] theorem UInt32.toBitVec_ofNatLT {n : Nat} (hn : n < UInt32.size) :
|
||||
(UInt32.ofNatLT n hn).toBitVec = BitVec.ofNatLT n hn := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt64.toBitVec_ofNatLT {n : Nat} (hn : n < UInt64.size) :
|
||||
@[simp] theorem UInt64.toBitVec_ofNatLT {n : Nat} (hn : n < UInt64.size) :
|
||||
(UInt64.ofNatLT n hn).toBitVec = BitVec.ofNatLT n hn := (rfl)
|
||||
@[simp, int_toBitVec] theorem USize.toBitVec_ofNatLT {n : Nat} (hn : n < USize.size) :
|
||||
@[simp] theorem USize.toBitVec_ofNatLT {n : Nat} (hn : n < USize.size) :
|
||||
(USize.ofNatLT n hn).toBitVec = BitVec.ofNatLT n hn := (rfl)
|
||||
|
||||
@[simp, int_toBitVec] theorem UInt8.toBitVec_ofFin (n : Fin UInt8.size) : (UInt8.ofFin n).toBitVec = BitVec.ofFin n := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt16.toBitVec_ofFin (n : Fin UInt16.size) : (UInt16.ofFin n).toBitVec = BitVec.ofFin n := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt32.toBitVec_ofFin (n : Fin UInt32.size) : (UInt32.ofFin n).toBitVec = BitVec.ofFin n := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt64.toBitVec_ofFin (n : Fin UInt64.size) : (UInt64.ofFin n).toBitVec = BitVec.ofFin n := (rfl)
|
||||
@[simp, int_toBitVec] theorem USize.toBitVec_ofFin (n : Fin USize.size) : (USize.ofFin n).toBitVec = BitVec.ofFin n := (rfl)
|
||||
@[simp] theorem UInt8.toBitVec_ofFin (n : Fin UInt8.size) : (UInt8.ofFin n).toBitVec = BitVec.ofFin n := (rfl)
|
||||
@[simp] theorem UInt16.toBitVec_ofFin (n : Fin UInt16.size) : (UInt16.ofFin n).toBitVec = BitVec.ofFin n := (rfl)
|
||||
@[simp] theorem UInt32.toBitVec_ofFin (n : Fin UInt32.size) : (UInt32.ofFin n).toBitVec = BitVec.ofFin n := (rfl)
|
||||
@[simp] theorem UInt64.toBitVec_ofFin (n : Fin UInt64.size) : (UInt64.ofFin n).toBitVec = BitVec.ofFin n := (rfl)
|
||||
@[simp] theorem USize.toBitVec_ofFin (n : Fin USize.size) : (USize.ofFin n).toBitVec = BitVec.ofFin n := (rfl)
|
||||
|
||||
@[simp, int_toBitVec] theorem UInt8.toBitVec_ofBitVec (n) : (UInt8.ofBitVec n).toBitVec = n := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt16.toBitVec_ofBitVec (n) : (UInt16.ofBitVec n).toBitVec = n := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt32.toBitVec_ofBitVec (n) : (UInt32.ofBitVec n).toBitVec = n := (rfl)
|
||||
@[simp, int_toBitVec] theorem UInt64.toBitVec_ofBitVec (n) : (UInt64.ofBitVec n).toBitVec = n := (rfl)
|
||||
@[simp, int_toBitVec] theorem USize.toBitVec_ofBitVec (n) : (USize.ofBitVec n).toBitVec = n := (rfl)
|
||||
@[simp] theorem UInt8.toBitVec_ofBitVec (n) : (UInt8.ofBitVec n).toBitVec = n := (rfl)
|
||||
@[simp] theorem UInt16.toBitVec_ofBitVec (n) : (UInt16.ofBitVec n).toBitVec = n := (rfl)
|
||||
@[simp] theorem UInt32.toBitVec_ofBitVec (n) : (UInt32.ofBitVec n).toBitVec = n := (rfl)
|
||||
@[simp] theorem UInt64.toBitVec_ofBitVec (n) : (UInt64.ofBitVec n).toBitVec = n := (rfl)
|
||||
@[simp] theorem USize.toBitVec_ofBitVec (n) : (USize.ofBitVec n).toBitVec = n := (rfl)
|
||||
|
||||
theorem UInt8.toBitVec_ofNatTruncate_of_lt {n : Nat} (hn : n < UInt8.size) :
|
||||
(UInt8.ofNatTruncate n).toBitVec = BitVec.ofNatLT n hn :=
|
||||
@@ -2770,28 +2770,6 @@ protected theorem UInt64.pow_succ (x : UInt64) (n : Nat) : x ^ (n + 1) = x ^ n *
|
||||
@[simp] protected theorem USize.pow_zero (x : USize) : x ^ 0 = 1 := (rfl)
|
||||
protected theorem USize.pow_succ (x : USize) (n : Nat) : x ^ (n + 1) = x ^ n * x := (rfl)
|
||||
|
||||
@[simp, int_toBitVec] protected theorem UInt8.toBitVec_pow (a : UInt8) (n : Nat) : (a ^ n).toBitVec = a.toBitVec ^ n := by
|
||||
induction n <;> simp [*, UInt8.pow_succ, BitVec.pow_succ]
|
||||
@[simp, int_toBitVec] protected theorem UInt16.toBitVec_pow (a : UInt16) (n : Nat) : (a ^ n).toBitVec = a.toBitVec ^ n := by
|
||||
induction n <;> simp [*, UInt16.pow_succ, BitVec.pow_succ]
|
||||
@[simp, int_toBitVec] protected theorem UInt32.toBitVec_pow (a : UInt32) (n : Nat) : (a ^ n).toBitVec = a.toBitVec ^ n := by
|
||||
induction n <;> simp [*, UInt32.pow_succ, BitVec.pow_succ]
|
||||
@[simp, int_toBitVec] protected theorem UInt64.toBitVec_pow (a : UInt64) (n : Nat) : (a ^ n).toBitVec = a.toBitVec ^ n := by
|
||||
induction n <;> simp [*, UInt64.pow_succ, BitVec.pow_succ]
|
||||
@[simp, int_toBitVec] protected theorem USize.toBitVec_pow (a : USize) (n : Nat) : (a ^ n).toBitVec = a.toBitVec ^ n := by
|
||||
induction n <;> simp [*, USize.pow_succ, BitVec.pow_succ]
|
||||
|
||||
@[simp] protected theorem UInt8.ofBitVec_pow (a : BitVec 8) (n : Nat) : ofBitVec (a ^ n) = ofBitVec a ^ n := by
|
||||
induction n <;> simp [*, UInt8.pow_succ, BitVec.pow_succ]
|
||||
@[simp] protected theorem UInt16.ofBitVec_pow (a : BitVec 16) (n : Nat) : ofBitVec (a ^ n) = ofBitVec a ^ n := by
|
||||
induction n <;> simp [*, UInt16.pow_succ, BitVec.pow_succ]
|
||||
@[simp] protected theorem UInt32.ofBitVec_pow (a : BitVec 32) (n : Nat) : ofBitVec (a ^ n) = ofBitVec a ^ n := by
|
||||
induction n <;> simp [*, UInt32.pow_succ, BitVec.pow_succ]
|
||||
@[simp] protected theorem UInt64.ofBitVec_pow (a : BitVec 64) (n : Nat) : ofBitVec (a ^ n) = ofBitVec a ^ n := by
|
||||
induction n <;> simp [*, UInt64.pow_succ, BitVec.pow_succ]
|
||||
@[simp] protected theorem USize.ofBitVec_pow (a : BitVec System.Platform.numBits) (n : Nat) : ofBitVec (a ^ n) = ofBitVec a ^ n := by
|
||||
induction n <;> simp [*, USize.pow_succ, BitVec.pow_succ]
|
||||
|
||||
protected theorem UInt8.mul_add {a b c : UInt8} : a * (b + c) = a * b + a * c :=
|
||||
UInt8.toBitVec_inj.1 BitVec.mul_add
|
||||
protected theorem UInt16.mul_add {a b c : UInt16} : a * (b + c) = a * b + a * c :=
|
||||
|
||||
@@ -22,6 +22,5 @@ public import Init.Data.Vector.FinRange
|
||||
public import Init.Data.Vector.Extract
|
||||
public import Init.Data.Vector.Perm
|
||||
public import Init.Data.Vector.Find
|
||||
public import Init.Data.Vector.Algebra
|
||||
|
||||
public section
|
||||
|
||||
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Reference in New Issue
Block a user