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1 Commits

Author SHA1 Message Date
Leonardo de Moura
51cad8b6b7 fix: expand pattern offset gadget in constant patterns
This PR fixes unexpected occurrences of the `Grind.offset` gadget in
ground patterns. See new test
2025-07-01 09:18:07 -07:00
3698 changed files with 30405 additions and 41598 deletions

View File

@@ -1,5 +0,0 @@
self-hosted-runner:
labels:
- nscloud-ubuntu-22.04-amd64-4x16
- nscloud-ubuntu-22.04-amd64-8x16
- nscloud-macos-sonoma-arm64-6x14

View File

@@ -97,14 +97,14 @@ jobs:
sudo apt-get update
sudo apt-get install -y gcc-multilib g++-multilib ccache libuv1-dev:i386 pkgconf:i386
if: matrix.cmultilib
- name: Restore Cache
- name: Cache
id: restore-cache
uses: actions/cache/restore@v4
with:
# NOTE: must be in sync with `save` below and with `restore-cache` in `update-stage0.yml`
# NOTE: must be in sync with `save` below
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

View File

@@ -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}",
@@ -370,7 +363,7 @@ jobs:
with:
path: artifacts
- name: Release
uses: softprops/action-gh-release@72f2c25fcb47643c292f7107632f7a47c1df5cd8
uses: softprops/action-gh-release@da05d552573ad5aba039eaac05058a918a7bf631
with:
files: artifacts/*/*
fail_on_unmatched_files: true
@@ -414,7 +407,7 @@ jobs:
echo -e "\n*Full commit log*\n" >> diff.md
git log --oneline "$last_tag"..HEAD | sed 's/^/* /' >> diff.md
- name: Release Nightly
uses: softprops/action-gh-release@72f2c25fcb47643c292f7107632f7a47c1df5cd8
uses: softprops/action-gh-release@da05d552573ad5aba039eaac05058a918a7bf631
with:
body_path: diff.md
prerelease: true

View File

@@ -30,8 +30,8 @@ jobs:
# Check if it's a push to master (no PR number and target branch is master)
if [ -z "${{ steps.workflow-info.outputs.pullRequestNumber }}" ]; then
if [ "${{ github.event.workflow_run.head_branch }}" = "master" ]; then
echo "Push to master detected. 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

View File

@@ -34,7 +34,7 @@ jobs:
- name: Download artifact from the previous workflow.
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
id: download-artifact
uses: dawidd6/action-download-artifact@v11 # https://github.com/marketplace/actions/download-workflow-artifact
uses: dawidd6/action-download-artifact@v10 # https://github.com/marketplace/actions/download-workflow-artifact
with:
run_id: ${{ github.event.workflow_run.id }}
path: artifacts
@@ -71,7 +71,7 @@ jobs:
GH_TOKEN: ${{ secrets.PR_RELEASES_TOKEN }}
- name: Release (short format)
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
uses: softprops/action-gh-release@72f2c25fcb47643c292f7107632f7a47c1df5cd8
uses: softprops/action-gh-release@da05d552573ad5aba039eaac05058a918a7bf631
with:
name: Release for PR ${{ steps.workflow-info.outputs.pullRequestNumber }}
# There are coredumps files here as well, but all in deeper subdirectories.
@@ -86,7 +86,7 @@ jobs:
- name: Release (SHA-suffixed format)
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
uses: softprops/action-gh-release@72f2c25fcb47643c292f7107632f7a47c1df5cd8
uses: softprops/action-gh-release@da05d552573ad5aba039eaac05058a918a7bf631
with:
name: Release for PR ${{ steps.workflow-info.outputs.pullRequestNumber }} (${{ steps.workflow-info.outputs.sourceHeadSha }})
# There are coredumps files here as well, but all in deeper subdirectories.
@@ -151,7 +151,7 @@ jobs:
- name: 'Setup jq'
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
uses: dcarbone/install-jq-action@v3.2.0
uses: dcarbone/install-jq-action@v3.1.1
# Check that the most recently nightly coincides with 'git merge-base HEAD master'
- name: Check merge-base and nightly-testing-YYYY-MM-DD for Mathlib/Batteries

View File

@@ -18,7 +18,7 @@ concurrency:
jobs:
update-stage0:
runs-on: nscloud-ubuntu-22.04-amd64-8x16
runs-on: ubuntu-latest
steps:
# This action should push to an otherwise protected branch, so it
# uses a deploy key with write permissions, as suggested at
@@ -52,18 +52,6 @@ jobs:
run: |
echo "NPROC=$(nproc 2>/dev/null || sysctl -n hw.logicalcpu 2>/dev/null || echo 4)" >> $GITHUB_ENV
shell: 'nix develop -c bash -euxo pipefail {0}'
- name: Restore Cache
if: env.should_update_stage0 == 'yes'
uses: actions/cache/restore@v4
with:
# NOTE: must be in sync with `restore-cache` in `build-template.yml`
# TODO: actually switch to USE_LAKE once it caches more; for now it just caches more often than any other build type so let's use its cache
path: |
.ccache
key: Linux Lake-build-v3-${{ github.sha }}
# fall back to (latest) previous cache
restore-keys: |
Linux Lake-build-v3
- if: env.should_update_stage0 == 'yes'
run: cmake --preset release
shell: 'nix develop -c bash -euxo pipefail {0}'

View File

@@ -45,10 +45,3 @@
/src/Std/Tactic/BVDecide/ @hargoniX
/src/Lean/Elab/Tactic/BVDecide/ @hargoniX
/src/Std/Sat/ @hargoniX
/src/Std/Do @sgraf812
/src/Std/Tactic/Do @sgraf812
/src/Lean/Elab/Tactic/Do @sgraf812
/src/Init/Data/Range/Polymorphic @datokrat
/src/Init/Data/Slice @datokrat
/src/Init/Data/Iterators @datokrat
/src/Std/Data/Iterators @datokrat

View File

@@ -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.

View File

@@ -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

View File

@@ -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

View File

@@ -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

View File

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

View File

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

View File

@@ -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

View File

@@ -16,7 +16,7 @@ def «01f88623-fa5f-4380-9772-b30f2fec5c94» : AssociationTable.Fact .subexpress
rowState := #["Std.DHashMap", "Std.DHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.isEmpty,
renderedStatement := "Std.DHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\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 : αα → Ordering}\n (t : Std.DTreeMap α β cmp) : Bool",
renderedStatement := "Std.DTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → 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 : αα → 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 : αα → 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 : αα → Ordering}\n (t : Std.ExtDTreeMap α β cmp) : Bool",
renderedStatement := "Std.ExtDTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → 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 : αα → Ordering}\n (t : Std.TreeMap α β cmp) : Bool",
renderedStatement := "Std.TreeMap.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : αα → 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 : αα → Ordering}\n (t : Std.TreeMap.Raw α β cmp) : Bool",
renderedStatement := "Std.TreeMap.Raw.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : αα → 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 : αα → Ordering}\n (t : Std.ExtTreeMap α β cmp) : Bool",
renderedStatement := "Std.ExtTreeMap.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : αα → 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 : αα → Ordering}\n (t : Std.DTreeMap α β cmp) : Nat",
renderedStatement := "Std.DTreeMap.size.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → 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 : αα → 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 : αα → 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 : αα → Ordering}\n (t : Std.ExtDTreeMap α β cmp) : Nat",
renderedStatement := "Std.ExtDTreeMap.size.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → 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 : αα → Ordering}\n (t : Std.TreeMap α β cmp) : Nat",
renderedStatement := "Std.TreeMap.size.{u, v} {α : Type u} {β : Type v} {cmp : αα → 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 : αα → Ordering}\n (t : Std.TreeMap.Raw α β cmp) : Nat",
renderedStatement := "Std.TreeMap.Raw.size.{u, v} {α : Type u} {β : Type v} {cmp : αα → 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 : αα → Ordering}\n (t : Std.ExtTreeMap α β cmp) : Nat",
renderedStatement := "Std.ExtTreeMap.size.{u, v} {α : Type u} {β : Type v} {cmp : αα → 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 : αα → 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 : αα → 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 : αα → 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 : αα → 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 : αα → 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 : αα → 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 : αα → 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 : αα → 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 : αα → Ordering} (t : Std.TreeSet α cmp) (p : α → Bool) :\n Bool",
renderedStatement := "Std.TreeSet.any.{u} {α : Type u} {cmp : αα → 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 : αα → Ordering} (t : Std.TreeSet.Raw α cmp)\n (p : α → Bool) : Bool",
renderedStatement := "Std.TreeSet.Raw.any.{u} {α : Type u} {cmp : αα → 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 : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeSet α cmp) (p : α → Bool) : Bool",
renderedStatement := "Std.ExtTreeSet.any.{u} {α : Type u} {cmp : αα → 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 : αα → Ordering}\n (t : Std.DTreeMap α β cmp) (p : (a : α) → β a → Bool) : Bool",
isDeprecated := false }),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.all,
renderedStatement := "Std.DTreeMap.Raw.all.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n (t : Std.DTreeMap.Raw α β cmp) (p : (a : α) → β a → Bool) : Bool",
isDeprecated := false }),"Std.ExtDTreeMap", "Std.ExtDTreeMap.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.all,
renderedStatement := "Std.ExtDTreeMap.all.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtDTreeMap α β cmp) (p : (a : α) → β a → Bool) : Bool",
isDeprecated := false }),"Std.TreeMap", "Std.TreeMap.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.all,
renderedStatement := "Std.TreeMap.all.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp)\n (p : α → β → Bool) : Bool",
isDeprecated := false }),"Std.TreeMap.Raw", "Std.TreeMap.Raw.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.Raw.all,
renderedStatement := "Std.TreeMap.Raw.all.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering}\n (t : Std.TreeMap.Raw α β cmp) (p : α → β → Bool) : Bool",
isDeprecated := false }),"Std.ExtTreeMap", "Std.ExtTreeMap.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeMap.all,
renderedStatement := "Std.ExtTreeMap.all.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeMap α β cmp) (p : α → β → Bool) : Bool",
isDeprecated := false }),"Std.HashSet", "Std.HashSet.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.all,
renderedStatement := "Std.HashSet.all.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashSet α)\n (p : α → Bool) : Bool",
isDeprecated := false }),"Std.HashSet.Raw", "Std.HashSet.Raw.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.Raw.all,
renderedStatement := "Std.HashSet.Raw.all.{u} {α : Type u} (m : Std.HashSet.Raw α) (p : α → Bool) : Bool",
isDeprecated := false }),"Std.TreeSet", "Std.TreeSet.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.all,
renderedStatement := "Std.TreeSet.all.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) (p : α → Bool) :\n Bool",
isDeprecated := false }),"Std.TreeSet.Raw", "Std.TreeSet.Raw.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.Raw.all,
renderedStatement := "Std.TreeSet.Raw.all.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp)\n (p : α → Bool) : Bool",
isDeprecated := false }),"Std.ExtTreeSet", "Std.ExtTreeSet.all", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeSet.all,
renderedStatement := "Std.ExtTreeSet.all.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeSet α cmp) (p : α → Bool) : Bool",
isDeprecated := false }),]
rowState := #["Std.DTreeMap", "Std.DTreeMap.all", .declaration (Declaration.def {
name := `Std.DTreeMap.all
renderedStatement := "Std.DTreeMap.all.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap α β cmp)\n (p : (a : α) → β a → Bool) : Bool"
isDeprecated := false
}
),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.all", .declaration (Declaration.def {
name := `Std.DTreeMap.Raw.all
renderedStatement := "Std.DTreeMap.Raw.all.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap.Raw α β cmp)\n (p : (a : α) → β a → Bool) : Bool"
isDeprecated := false
}
),"Std.ExtDTreeMap", "Std.ExtDTreeMap.all", .declaration (Declaration.def {
name := `Std.ExtDTreeMap.all
renderedStatement := "Std.ExtDTreeMap.all.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtDTreeMap α β cmp) (p : (a : α) → β a → Bool) : Bool"
isDeprecated := false
}
),"Std.TreeMap", "Std.TreeMap.all", .declaration (Declaration.def {
name := `Std.TreeMap.all
renderedStatement := "Std.TreeMap.all.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp) (p : α → β → Bool) :\n Bool"
isDeprecated := false
}
),"Std.TreeMap.Raw", "Std.TreeMap.Raw.all", .declaration (Declaration.def {
name := `Std.TreeMap.Raw.all
renderedStatement := "Std.TreeMap.Raw.all.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap.Raw α β cmp)\n (p : α → β → Bool) : Bool"
isDeprecated := false
}
),"Std.ExtTreeMap", "Std.ExtTreeMap.all", .declaration (Declaration.def {
name := `Std.ExtTreeMap.all
renderedStatement := "Std.ExtTreeMap.all.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeMap α β cmp) (p : α β → Bool) : Bool"
isDeprecated := false
}
),"Std.HashSet", "Std.HashSet.all", .declaration (Declaration.def {
name := `Std.HashSet.all
renderedStatement := "Std.HashSet.all.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashSet α) (p : α → Bool) : Bool"
isDeprecated := false
}
),"Std.HashSet.Raw", "Std.HashSet.Raw.all", .declaration (Declaration.def {
name := `Std.HashSet.Raw.all
renderedStatement := "Std.HashSet.Raw.all.{u} {α : Type u} (m : Std.HashSet.Raw α) (p : α → Bool) : Bool"
isDeprecated := false
}
),"Std.TreeSet", "Std.TreeSet.all", .declaration (Declaration.def {
name := `Std.TreeSet.all
renderedStatement := "Std.TreeSet.all.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) (p : α → Bool) : Bool"
isDeprecated := false
}
),"Std.TreeSet.Raw", "Std.TreeSet.Raw.all", .declaration (Declaration.def {
name := `Std.TreeSet.Raw.all
renderedStatement := "Std.TreeSet.Raw.all.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp) (p : α → Bool) : Bool"
isDeprecated := false
}
),"Std.ExtTreeSet", "Std.ExtTreeSet.all", .declaration (Declaration.def {
name := `Std.ExtTreeSet.all
renderedStatement := "Std.ExtTreeSet.all.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp] (t : Std.ExtTreeSet α cmp)\n (p : α → Bool) : Bool"
isDeprecated := false
}
),]
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 : αα → Ordering}\n [Std.LawfulEqCmp cmp] (t : Std.DTreeMap α β cmp) (a : α) (fallback : β a) : β a",
isDeprecated := false }),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.getD,
renderedStatement := "Std.DTreeMap.Raw.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n [Std.LawfulEqCmp cmp] (t : Std.DTreeMap.Raw α β cmp) (a : α) (fallback : β a) : β a",
isDeprecated := false }),"Std.ExtDTreeMap", "Std.ExtDTreeMap.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.getD,
renderedStatement := "Std.ExtDTreeMap.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n [Std.TransCmp cmp] [Std.LawfulEqCmp cmp] (t : Std.ExtDTreeMap α β cmp) (a : α) (fallback : β a) :\n β a",
isDeprecated := false }),"Std.HashMap", "Std.HashMap.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashMap.getD,
renderedStatement := "Std.HashMap.getD.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α}\n (m : Std.HashMap α β) (a : α) (fallback : β) : β",
isDeprecated := false }),"Std.HashMap.Raw", "Std.HashMap.Raw.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashMap.Raw.getD,
renderedStatement := "Std.HashMap.Raw.getD.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (m : Std.HashMap.Raw α β)\n (a : α) (fallback : β) : β",
isDeprecated := false }),"Std.ExtHashMap", "Std.ExtHashMap.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtHashMap.getD,
renderedStatement := "Std.ExtHashMap.getD.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α]\n [LawfulHashable α] (m : Std.ExtHashMap α β) (a : α) (fallback : β) : β",
isDeprecated := false }),"Std.TreeMap", "Std.TreeMap.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.getD,
renderedStatement := "Std.TreeMap.getD.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp)\n (a : α) (fallback : β) : β",
isDeprecated := false }),"Std.TreeMap.Raw", "Std.TreeMap.Raw.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.Raw.getD,
renderedStatement := "Std.TreeMap.Raw.getD.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering}\n (t : Std.TreeMap.Raw α β cmp) (a : α) (fallback : β) : β",
isDeprecated := false }),"Std.ExtTreeMap", "Std.ExtTreeMap.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeMap.getD,
renderedStatement := "Std.ExtTreeMap.getD.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeMap α β cmp) (a : α) (fallback : β) : β",
isDeprecated := false }),"Std.HashSet", "Std.HashSet.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.getD,
renderedStatement := "Std.HashSet.getD.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet α) (a fallback : α) : α",
isDeprecated := false }),"Std.HashSet.Raw", "Std.HashSet.Raw.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.Raw.getD,
renderedStatement := "Std.HashSet.Raw.getD.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet.Raw α)\n (a fallback : α) : α",
isDeprecated := false }),"Std.ExtHashSet", "Std.ExtHashSet.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtHashSet.getD,
renderedStatement := "Std.ExtHashSet.getD.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) (a fallback : α) : α",
isDeprecated := false }),"Std.TreeSet", "Std.TreeSet.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.getD,
renderedStatement := "Std.TreeSet.getD.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp)\n (a fallback : α) : α",
isDeprecated := false }),"Std.TreeSet.Raw", "Std.TreeSet.Raw.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.Raw.getD,
renderedStatement := "Std.TreeSet.Raw.getD.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp)\n (a fallback : α) : α",
isDeprecated := false }),"Std.ExtTreeSet", "Std.ExtTreeSet.getD", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeSet.getD,
renderedStatement := "Std.ExtTreeSet.getD.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeSet α cmp) (a fallback : α) : α",
isDeprecated := false }),]
rowState := #["Std.DHashMap", "Std.DHashMap.getD", .declaration (Declaration.def {
name := `Std.DHashMap.getD
renderedStatement := "Std.DHashMap.getD.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.DHashMap α β) (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.DHashMap.Raw", "Std.DHashMap.Raw.getD", .declaration (Declaration.def {
name := `Std.DHashMap.Raw.getD
renderedStatement := "Std.DHashMap.Raw.getD.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α] [LawfulBEq α] (m : Std.DHashMap.Raw α β)\n (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.ExtDHashMap", "Std.ExtDHashMap.getD", .declaration (Declaration.def {
name := `Std.ExtDHashMap.getD
renderedStatement := "Std.ExtDHashMap.getD.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.ExtDHashMap α β) (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.DTreeMap", "Std.DTreeMap.getD", .declaration (Declaration.def {
name := `Std.DTreeMap.getD
renderedStatement := "Std.DTreeMap.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap α β cmp) (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.getD", .declaration (Declaration.def {
name := `Std.DTreeMap.Raw.getD
renderedStatement := "Std.DTreeMap.Raw.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap.Raw α β cmp) (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.ExtDTreeMap", "Std.ExtDTreeMap.getD", .declaration (Declaration.def {
name := `Std.ExtDTreeMap.getD
renderedStatement := "Std.ExtDTreeMap.getD.{u, v} {α : Type u} {β : α Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n [Std.LawfulEqCmp cmp] (t : Std.ExtDTreeMap α β cmp) (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.HashMap", "Std.HashMap.getD", .declaration (Declaration.def {
name := `Std.HashMap.getD
renderedStatement := "Std.HashMap.getD.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashMap α β) (a : α)\n (fallback : β) : β"
isDeprecated := false
}
),"Std.HashMap.Raw", "Std.HashMap.Raw.getD", .declaration (Declaration.def {
name := `Std.HashMap.Raw.getD
renderedStatement := "Std.HashMap.Raw.getD.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (m : Std.HashMap.Raw α β) (a : α)\n (fallback : β) : β"
isDeprecated := false
}
),"Std.ExtHashMap", "Std.ExtHashMap.getD", .declaration (Declaration.def {
name := `Std.ExtHashMap.getD
renderedStatement := "Std.ExtHashMap.getD.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashMap α β) (a : α) (fallback : β) : β"
isDeprecated := false
}
),"Std.TreeMap", "Std.TreeMap.getD", .declaration (Declaration.def {
name := `Std.TreeMap.getD
renderedStatement := "Std.TreeMap.getD.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp) (a : α)\n (fallback : β) : β"
isDeprecated := false
}
),"Std.TreeMap.Raw", "Std.TreeMap.Raw.getD", .declaration (Declaration.def {
name := `Std.TreeMap.Raw.getD
renderedStatement := "Std.TreeMap.Raw.getD.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap.Raw α β cmp) (a : α)\n (fallback : β) : β"
isDeprecated := false
}
),"Std.ExtTreeMap", "Std.ExtTreeMap.getD", .declaration (Declaration.def {
name := `Std.ExtTreeMap.getD
renderedStatement := "Std.ExtTreeMap.getD.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeMap α β cmp) (a : α) (fallback : β) : β"
isDeprecated := false
}
),"Std.HashSet", "Std.HashSet.getD", .declaration (Declaration.def {
name := `Std.HashSet.getD
renderedStatement := "Std.HashSet.getD.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet α) (a fallback : α) : α"
isDeprecated := false
}
),"Std.HashSet.Raw", "Std.HashSet.Raw.getD", .declaration (Declaration.def {
name := `Std.HashSet.Raw.getD
renderedStatement := "Std.HashSet.Raw.getD.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet.Raw α) (a fallback : α) : α"
isDeprecated := false
}
),"Std.ExtHashSet", "Std.ExtHashSet.getD", .declaration (Declaration.def {
name := `Std.ExtHashSet.getD
renderedStatement := "Std.ExtHashSet.getD.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) (a fallback : α) : α"
isDeprecated := false
}
),"Std.TreeSet", "Std.TreeSet.getD", .declaration (Declaration.def {
name := `Std.TreeSet.getD
renderedStatement := "Std.TreeSet.getD.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) (a fallback : α) : α"
isDeprecated := false
}
),"Std.TreeSet.Raw", "Std.TreeSet.Raw.getD", .declaration (Declaration.def {
name := `Std.TreeSet.Raw.getD
renderedStatement := "Std.TreeSet.Raw.getD.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp) (a fallback : α) : α"
isDeprecated := false
}
),"Std.ExtTreeSet", "Std.ExtTreeSet.getD", .declaration (Declaration.def {
name := `Std.ExtTreeSet.getD
renderedStatement := "Std.ExtTreeSet.getD.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp] (t : Std.ExtTreeSet α cmp)\n (a fallback : α) : α"
isDeprecated := false
}
),]
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 : αα → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap α β cmp) (a : α) (h : a ∈ t) : β a",
isDeprecated := false }),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.get", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.get,
renderedStatement := "Std.DTreeMap.Raw.get.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering}\n [Std.LawfulEqCmp cmp] (t : Std.DTreeMap.Raw α β cmp) (a : α) (h : a ∈ t) : β a",
isDeprecated := false }),"Std.ExtDTreeMap", "Std.ExtDTreeMap.get", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.get,
renderedStatement := "Std.ExtDTreeMap.get.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n [Std.LawfulEqCmp cmp] (t : Std.ExtDTreeMap α β cmp) (a : α) (h : a ∈ t) : β a",
isDeprecated := false }),"Std.HashMap", "app (GetElem.getElem) (Std.HashMap*)", Grove.Framework.Subexpression.State.predicate
rowState := #["Std.DHashMap", "Std.DHashMap.get", .declaration (Declaration.def {
name := `Std.DHashMap.get
renderedStatement := "Std.DHashMap.get.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.DHashMap α β) (a : α) (h : a ∈ m) : β a"
isDeprecated := false
}
),"Std.DHashMap.Raw", "Std.DHashMap.Raw.Const.get", .declaration (Declaration.def {
name := `Std.DHashMap.Raw.Const.get
renderedStatement := "Std.DHashMap.Raw.Const.get.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (m : Std.DHashMap.Raw α fun x => β)\n (a : α) (h : a ∈ m) : β"
isDeprecated := false
}
),"Std.ExtDHashMap", "Std.ExtDHashMap.get", .declaration (Declaration.def {
name := `Std.ExtDHashMap.get
renderedStatement := "Std.ExtDHashMap.get.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.ExtDHashMap α β) (a : α) (h : a ∈ m) : β a"
isDeprecated := false
}
),"Std.DTreeMap", "Std.DTreeMap.get", .declaration (Declaration.def {
name := `Std.DTreeMap.get
renderedStatement := "Std.DTreeMap.get.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap α β cmp) (a : α) (h : a ∈ t) : β a"
isDeprecated := false
}
),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.get", .declaration (Declaration.def {
name := `Std.DTreeMap.Raw.get
renderedStatement := "Std.DTreeMap.Raw.get.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap.Raw α β cmp) (a : α) (h : a ∈ t) : β a"
isDeprecated := false
}
),"Std.ExtDTreeMap", "Std.ExtDTreeMap.get", .declaration (Declaration.def {
name := `Std.ExtDTreeMap.get
renderedStatement := "Std.ExtDTreeMap.get.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n [Std.LawfulEqCmp cmp] (t : Std.ExtDTreeMap α β cmp) (a : α) (h : a ∈ t) : β a"
isDeprecated := false
}
),"Std.HashMap", "app (GetElem.getElem) (Std.HashMap*)", Grove.Framework.Subexpression.State.predicate
{ 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 : αα → Ordering} (t : Std.TreeSet α cmp) (a : α)\n (h : a ∈ t) : α",
isDeprecated := false }),"Std.TreeSet.Raw", "Std.TreeSet.Raw.get", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.Raw.get,
renderedStatement := "Std.TreeSet.Raw.get.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp) (a : α)\n (h : a ∈ t) : α",
isDeprecated := false }),"Std.ExtTreeSet", "Std.ExtTreeSet.get", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeSet.get,
renderedStatement := "Std.ExtTreeSet.get.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeSet α cmp) (a : α) (h : a ∈ t) : α",
isDeprecated := false }),]
{ key := "app (GetElem.getElem) (Std.ExtTreeMap*)", displayShort := "Std.ExtTreeMap[·]" },"Std.HashSet", "Std.HashSet.get", .declaration (Declaration.def {
name := `Std.HashSet.get
renderedStatement := "Std.HashSet.get.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet α) (a : α) (h : a ∈ m) : α"
isDeprecated := false
}
),"Std.HashSet.Raw", "Std.HashSet.Raw.get", .declaration (Declaration.def {
name := `Std.HashSet.Raw.get
renderedStatement := "Std.HashSet.Raw.get.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet.Raw α) (a : α) (h : a ∈ m) : α"
isDeprecated := false
}
),"Std.ExtHashSet", "Std.ExtHashSet.get", .declaration (Declaration.def {
name := `Std.ExtHashSet.get
renderedStatement := "Std.ExtHashSet.get.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) (a : α) (h : a ∈ m) : α"
isDeprecated := false
}
),"Std.TreeSet", "Std.TreeSet.get", .declaration (Declaration.def {
name := `Std.TreeSet.get
renderedStatement := "Std.TreeSet.get.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) (a : α) (h : a ∈ t) : α"
isDeprecated := false
}
),"Std.TreeSet.Raw", "Std.TreeSet.Raw.get", .declaration (Declaration.def {
name := `Std.TreeSet.Raw.get
renderedStatement := "Std.TreeSet.Raw.get.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp) (a : α) (h : a ∈ t) : α"
isDeprecated := false
}
),"Std.ExtTreeSet", "Std.ExtTreeSet.get", .declaration (Declaration.def {
name := `Std.ExtTreeSet.get
renderedStatement := "Std.ExtTreeSet.get.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp] (t : Std.ExtTreeSet α cmp) (a : α)\n (h : a ∈ t) : α"
isDeprecated := false
}
),]
metadata := {
status := .bad
comment := "Should *Set have GetElem?"

View File

@@ -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

View File

@@ -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

View File

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

View File

@@ -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

View File

@@ -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

View File

@@ -195,7 +195,7 @@ def execute_release_steps(repo, version, config):
run_command(f"git checkout {default_branch} && git pull", cwd=repo_path)
# Special rc1 safety check for batteries and mathlib4 (before creating any branches)
if 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."))

View File

@@ -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 ";")
@@ -643,6 +634,8 @@ else()
set(LEAN_OBJS ${LEAN_OBJS} $<TARGET_OBJECTS:library>)
add_subdirectory(library/constructions)
set(LEAN_OBJS ${LEAN_OBJS} $<TARGET_OBJECTS:constructions>)
add_subdirectory(library/compiler)
set(LEAN_OBJS ${LEAN_OBJS} $<TARGET_OBJECTS:compiler>)
# leancpp without `initialize` (see `leaninitialize` above)
add_library(leancpp_1 STATIC ${LEAN_OBJS})
@@ -684,17 +677,12 @@ 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 +726,14 @@ 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 ${CMAKE_BINARY_DIR}/stdlib.make libLake_shared
VERBATIM)
add_custom_target(lake ALL
@@ -821,12 +814,6 @@ if(LEAN_INSTALL_PREFIX)
set(CMAKE_INSTALL_PREFIX "${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 ${CMAKE_BINARY_DIR}/stdlib.make)
@@ -853,10 +840,6 @@ if(${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()

View File

@@ -39,7 +39,7 @@ This gadget is supported by
* `simp`, `dsimp` and `rw` in the right-hand-side of an equation
* `simp` in the assumptions of congruence rules
It is ineffective in other positions (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]

View File

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

View File

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

View File

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

View File

@@ -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

View File

@@ -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 : αα → Prop) : Prop where
irrefl : a, ¬r a a
end Std
/-- Deprecated alias for `XorOp`. -/
@[deprecated XorOp (since := "2025-07-30")]
abbrev Xor := XorOp

View File

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

View File

@@ -180,7 +180,7 @@ in-place when the reference to the array is unique.
This avoids overhead due to unboxing a `Nat` used as an index.
-/
@[extern "lean_array_uset", expose]
@[extern "lean_array_uset"]
def uset (xs : Array α) (i : USize) (v : α) (h : i.toNat < xs.size) : Array α :=
xs.set i.toNat v h
@@ -1024,7 +1024,7 @@ The optional parameters `start` and `stop` control the region of the array to wh
applied. Iteration proceeds from `start` (inclusive) to `stop` (exclusive), so `f` is not invoked
unless `start < stop`. By default, the entire array is used.
-/
@[inline, expose]
@[inline]
protected def forM {α : Type u} {m : Type v Type w} [Monad m] (f : α m PUnit) (as : Array α) (start := 0) (stop := as.size) : m PUnit :=
as.foldlM (fun _ => f) start stop
@@ -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.

View File

@@ -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

View File

@@ -382,12 +382,11 @@ theorem eraseIdx_ne_empty_iff {xs : Array α} {i : Nat} {h} : xs.eraseIdx i ≠
simp [h]
· simp
@[grind ]
theorem mem_of_mem_eraseIdx {xs : Array α} {i : Nat} {h} {a : α} (h : a xs.eraseIdx i) : a xs := by
rcases xs with xs
simpa using List.mem_of_mem_eraseIdx (by simpa using h)
grind_pattern mem_of_mem_eraseIdx => a xs.eraseIdx i
theorem eraseIdx_append_of_lt_size {xs : Array α} {k : Nat} (hk : k < xs.size) (ys : Array α) (h) :
eraseIdx (xs ++ ys) k = eraseIdx xs k ++ ys := by
rcases xs with l

View File

@@ -387,7 +387,7 @@ theorem find?_eq_some_iff_getElem {xs : Array α} {p : α → Bool} {b : α} :
/-! ### findIdx -/
@[grind =]
theorem findIdx_empty : findIdx p #[] = 0 := by simp
theorem findIdx_empty : findIdx p #[] = 0 := rfl
@[grind =]
theorem findIdx_singleton {a : α} {p : α Bool} :

View File

@@ -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
@@ -130,7 +129,7 @@ theorem none_eq_getElem?_iff {xs : Array α} {i : Nat} : none = xs[i]? ↔ xs.si
theorem getElem?_eq_none {xs : Array α} (h : xs.size i) : xs[i]? = none := by
simp [h]
grind_pattern Array.getElem?_eq_none => xs.size, xs[i]?
grind_pattern Array.getElem?_eq_none => xs.size i, xs[i]?
@[simp] theorem getElem?_eq_getElem {xs : Array α} {i : Nat} (h : i < xs.size) : xs[i]? = some xs[i] :=
getElem?_pos ..
@@ -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]
@@ -867,24 +872,24 @@ theorem elem_eq_mem [BEq α] [LawfulBEq α] {a : α} {xs : Array α} :
@[grind] theorem all_empty [BEq α] {p : α Bool} : (#[] : Array α).all p = true := by simp
/-- Variant of `any_push` with a side condition on `stop`. -/
@[simp, grind] theorem any_push' {xs : Array α} {a : α} {p : α Bool} (h : stop = xs.size + 1) :
@[simp, grind] theorem any_push' [BEq α] {xs : Array α} {a : α} {p : α Bool} (h : stop = xs.size + 1) :
(xs.push a).any p 0 stop = (xs.any p || p a) := by
cases xs
rw [List.push_toArray]
simp [h]
theorem any_push {xs : Array α} {a : α} {p : α Bool} :
theorem any_push [BEq α] {xs : Array α} {a : α} {p : α Bool} :
(xs.push a).any p = (xs.any p || p a) :=
any_push' (by simp)
/-- Variant of `all_push` with a side condition on `stop`. -/
@[simp, grind] theorem all_push' {xs : Array α} {a : α} {p : α Bool} (h : stop = xs.size + 1) :
@[simp, grind] theorem all_push' [BEq α] {xs : Array α} {a : α} {p : α Bool} (h : stop = xs.size + 1) :
(xs.push a).all p 0 stop = (xs.all p && p a) := by
cases xs
rw [List.push_toArray]
simp [h]
theorem all_push {xs : Array α} {a : α} {p : α Bool} :
theorem all_push [BEq α] {xs : Array α} {a : α} {p : α Bool} :
(xs.push a).all p = (xs.all p && p a) :=
all_push' (by simp)
@@ -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
@@ -974,13 +985,12 @@ theorem mem_set {xs : Array α} {i : Nat} (h : i < xs.size) {a : α} :
simp [mem_iff_getElem]
exact i, (by simpa using h), by simp
@[grind ]
theorem mem_or_eq_of_mem_set
{xs : Array α} {i : Nat} {a b : α} {w : i < xs.size} (h : a xs.set i b) : a xs a = b := by
cases xs
simpa using List.mem_or_eq_of_mem_set (by simpa using h)
grind_pattern mem_or_eq_of_mem_set => a xs.set i b
/-! ### setIfInBounds -/
@[simp, grind] theorem setIfInBounds_empty {i : Nat} {a : α} :
@@ -992,6 +1002,9 @@ 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 +1026,9 @@ 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 +1048,9 @@ 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 +1376,23 @@ 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 +1675,12 @@ 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 +2998,9 @@ 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 +3035,14 @@ 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 +3311,11 @@ 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 +3325,13 @@ 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 +4318,7 @@ 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 +4328,7 @@ 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 +4412,10 @@ 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 +4726,27 @@ 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 +4771,64 @@ 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

View File

@@ -6,12 +6,9 @@ Author: Kim Morrison
module
prelude
public import Init.Core
import Init.Data.Array.Basic
import Init.Data.Nat.Lemmas
import Init.Data.Range.Polymorphic.Iterators
import Init.Data.Range.Polymorphic.Nat
import Init.Data.Iterators.Consumers
public import Init.Data.Array.Basic
public import Init.Data.Nat.Lemmas
public import Init.Data.Range
public section
@@ -29,9 +26,9 @@ Specifically, `Array.lex as bs lt` is true if
* there is an index `i` such that `lt as[i] bs[i]`, and for all `j < i`, `as[j] == bs[j]`.
-/
def lex [BEq α] (as bs : Array α) (lt : α α Bool := by exact (· < ·)) : Bool := Id.run do
for h : i in 0...(min as.size bs.size) do
-- TODO: `get_elem_tactic` should be able to find this itself.
have : i < min as.size bs.size := Std.PRange.lt_upper_of_mem h
for h : i in [0 : min as.size bs.size] do
-- TODO: `omega` should be able to find this itself.
have : i < min as.size bs.size := Membership.get_elem_helper h rfl
if lt as[i] bs[i] then
return true
else if as[i] != bs[i] then

View File

@@ -6,12 +6,9 @@ Author: Kim Morrison
module
prelude
import all Init.Data.Array.Lex.Basic
public import Init.Data.Array.Lex.Basic
public import all Init.Data.Array.Lex.Basic
public import Init.Data.Array.Lemmas
public import Init.Data.List.Lex
import Init.Data.Range.Polymorphic.Lemmas
import Init.Data.Range.Polymorphic.NatLemmas
public section
@@ -22,55 +19,28 @@ namespace Array
/-! ### Lexicographic ordering -/
@[simp] theorem _root_.List.lt_toArray [LT α] {l₁ l₂ : List α} : l₁.toArray < l₂.toArray l₁ < l₂ := Iff.rfl
@[simp] theorem _root_.List.le_toArray [LT α] {l₁ l₂ : List α} : l₁.toArray l₂.toArray l₁ l₂ := Iff.rfl
@[simp, grind =] theorem _root_.List.lt_toArray [LT α] {l₁ l₂ : List α} : l₁.toArray < l₂.toArray l₁ < l₂ := Iff.rfl
@[simp, grind =] theorem _root_.List.le_toArray [LT α] {l₁ l₂ : List α} : l₁.toArray l₂.toArray l₁ l₂ := Iff.rfl
@[simp] theorem lt_toList [LT α] {xs ys : Array α} : xs.toList < ys.toList xs < ys := Iff.rfl
@[simp] theorem le_toList [LT α] {xs ys : Array α} : xs.toList ys.toList xs ys := Iff.rfl
grind_pattern _root_.List.lt_toArray => l₁.toArray < l₂.toArray
grind_pattern _root_.List.le_toArray => l₁.toArray l₂.toArray
grind_pattern lt_toList => xs.toList < ys.toList
grind_pattern le_toList => xs.toList ys.toList
@[simp, grind =] theorem lt_toList [LT α] {xs ys : Array α} : xs.toList < ys.toList xs < ys := Iff.rfl
@[simp, grind =] theorem le_toList [LT α] {xs ys : Array α} : xs.toList ys.toList xs ys := Iff.rfl
protected theorem not_lt_iff_ge [LT α] {xs ys : Array α} : ¬ xs < ys ys xs := Iff.rfl
protected theorem not_le_iff_gt [LT α] {xs ys : Array α} :
protected theorem not_le_iff_gt [DecidableEq α] [LT α] [DecidableLT α] {xs ys : Array α} :
¬ xs ys ys < xs :=
Classical.not_not
Decidable.not_not
@[simp] theorem lex_empty [BEq α] {lt : α α Bool} {xs : Array α} : xs.lex #[] lt = false := by
rw [lex, Std.PRange.forIn'_eq_match]
simp [Std.PRange.SupportsUpperBound.IsSatisfied]
private theorem cons_lex_cons.forIn'_congr_aux [Monad m] {as bs : ρ} {_ : Membership α ρ}
[ForIn' m ρ α inferInstance] (w : as = bs)
{b b' : β} (hb : b = b')
{f : (a' : α) a' as β m (ForInStep β)}
{g : (a' : α) a' bs β m (ForInStep β)}
(h : a m b, f a (by simpa [w] using m) b = g a m b) :
forIn' as b f = forIn' bs b' g := by
cases hb
cases w
have : f = g := by
ext a ha acc
apply h
cases this
rfl
simp [lex]
private theorem cons_lex_cons [BEq α] {lt : α α Bool} {a b : α} {xs ys : Array α} :
(#[a] ++ xs).lex (#[b] ++ ys) lt =
(lt a b || a == b && xs.lex ys lt) := by
simp only [lex, size_append, List.size_toArray, List.length_cons, List.length_nil, Nat.zero_add,
Nat.add_min_add_left, Nat.add_lt_add_iff_left, Std.PRange.forIn'_eq_forIn'_toList]
conv =>
lhs; congr; congr
rw [cons_lex_cons.forIn'_congr_aux Std.PRange.toList_eq_match rfl (fun _ _ _ => rfl)]
simp only [Std.PRange.SupportsUpperBound.IsSatisfied, bind_pure_comp, map_pure]
rw [cons_lex_cons.forIn'_congr_aux (if_pos (by omega)) rfl (fun _ _ _ => rfl)]
simp only [Std.PRange.toList_open_eq_toList_closed_of_isSome_succ? (lo := 0) (h := rfl),
Std.PRange.UpwardEnumerable.succ?, Nat.add_comm 1, Std.PRange.Nat.ClosedOpen.toList_succ_succ,
Option.get_some, List.forIn'_cons, List.size_toArray, List.length_cons, List.length_nil,
Nat.lt_add_one, getElem_append_left, List.getElem_toArray, List.getElem_cons_zero]
simp only [lex]
simp only [Std.Range.forIn'_eq_forIn'_range', size_append, List.size_toArray, List.length_singleton,
Nat.add_comm 1]
simp [Nat.add_min_add_right, List.range'_succ, getElem_append_left, List.range'_succ_left,
getElem_append_right]
cases lt a b
· rw [bne]
cases a == b <;> simp
@@ -79,17 +49,10 @@ private theorem cons_lex_cons [BEq α] {lt : αα → Bool} {a b : α} {xs
@[simp, grind =] theorem _root_.List.lex_toArray [BEq α] {lt : α α Bool} {l₁ l₂ : List α} :
l₁.toArray.lex l₂.toArray lt = l₁.lex l₂ lt := by
induction l₁ generalizing l₂ with
| nil =>
cases l₂
· rw [lex, Std.PRange.forIn'_eq_match]
simp [Std.PRange.SupportsUpperBound.IsSatisfied]
· rw [lex, Std.PRange.forIn'_eq_match]
simp [Std.PRange.SupportsUpperBound.IsSatisfied]
| nil => cases l₂ <;> simp [lex]
| cons x l₁ ih =>
cases l₂ with
| nil =>
rw [lex, Std.PRange.forIn'_eq_match]
simp [Std.PRange.SupportsUpperBound.IsSatisfied]
| nil => simp [lex]
| cons y l₂ =>
rw [List.toArray_cons, List.toArray_cons y, cons_lex_cons, List.lex, ih]
@@ -131,7 +94,7 @@ instance [LT α] [Trans (· < · : αα → Prop) (· < ·) (· < ·)] :
Trans (· < · : Array α Array α Prop) (· < ·) (· < ·) where
trans h₁ h₂ := Array.lt_trans h₁ h₂
protected theorem lt_of_le_of_lt [LT α]
protected theorem lt_of_le_of_lt [DecidableEq α] [LT α] [DecidableLT α]
[i₀ : Std.Irrefl (· < · : α α Prop)]
[i₁ : Std.Asymm (· < · : α α Prop)]
[i₂ : Std.Antisymm (¬ · < · : α α Prop)]
@@ -139,7 +102,7 @@ protected theorem lt_of_le_of_lt [LT α]
{xs ys zs : Array α} (h₁ : xs ys) (h₂ : ys < zs) : xs < zs :=
List.lt_of_le_of_lt h₁ h₂
protected theorem le_trans [LT α]
protected theorem le_trans [DecidableEq α] [LT α] [DecidableLT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
@@ -147,7 +110,7 @@ protected theorem le_trans [LT α]
{xs ys zs : Array α} (h₁ : xs ys) (h₂ : ys zs) : xs zs :=
fun h₃ => h₁ (Array.lt_of_le_of_lt h₂ h₃)
instance [LT α]
instance [DecidableEq α] [LT α] [DecidableLT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
@@ -159,34 +122,34 @@ protected theorem lt_asymm [LT α]
[i : Std.Asymm (· < · : α α Prop)]
{xs ys : Array α} (h : xs < ys) : ¬ ys < xs := List.lt_asymm h
instance [LT α]
instance [DecidableEq α] [LT α] [DecidableLT α]
[Std.Asymm (· < · : α α Prop)] :
Std.Asymm (· < · : Array α Array α Prop) where
asymm _ _ := Array.lt_asymm
protected theorem le_total [LT α]
protected theorem le_total [DecidableEq α] [LT α] [DecidableLT α]
[i : Std.Total (¬ · < · : α α Prop)] (xs ys : Array α) : xs ys ys xs :=
List.le_total xs.toList ys.toList
@[simp] protected theorem not_lt [LT α]
{xs ys : Array α} : ¬ xs < ys ys xs := Iff.rfl
@[simp] protected theorem not_le [LT α]
{xs ys : Array α} : ¬ ys xs xs < ys := Classical.not_not
@[simp] protected theorem not_le [DecidableEq α] [LT α] [DecidableLT α]
{xs ys : Array α} : ¬ ys xs xs < ys := Decidable.not_not
protected theorem le_of_lt [LT α]
protected theorem le_of_lt [DecidableEq α] [LT α] [DecidableLT α]
[i : Std.Total (¬ · < · : α α Prop)]
{xs ys : Array α} (h : xs < ys) : xs ys :=
List.le_of_lt h
protected theorem le_iff_lt_or_eq [LT α]
protected theorem le_iff_lt_or_eq [DecidableEq α] [LT α] [DecidableLT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
[Std.Total (¬ · < · : α α Prop)]
{xs ys : Array α} : xs ys xs < ys xs = ys := by
simpa using List.le_iff_lt_or_eq (l₁ := xs.toList) (l₂ := ys.toList)
instance [LT α]
instance [DecidableEq α] [LT α] [DecidableLT α]
[Std.Total (¬ · < · : α α Prop)] :
Std.Total (· · : Array α Array α Prop) where
total := Array.le_total
@@ -255,7 +218,7 @@ theorem lex_eq_false_iff_exists [BEq α] [PartialEquivBEq α] (lt : αα
cases l₂
simp_all [List.lex_eq_false_iff_exists]
protected theorem lt_iff_exists [LT α] {xs ys : Array α} :
protected theorem lt_iff_exists [DecidableEq α] [LT α] [DecidableLT α] {xs ys : Array α} :
xs < ys
(xs = ys.take xs.size xs.size < ys.size)
( (i : Nat) (h₁ : i < xs.size) (h₂ : i < ys.size),
@@ -265,7 +228,7 @@ protected theorem lt_iff_exists [LT α] {xs ys : Array α} :
cases ys
simp [List.lt_iff_exists]
protected theorem le_iff_exists [LT α]
protected theorem le_iff_exists [DecidableEq α] [LT α] [DecidableLT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)] {xs ys : Array α} :
@@ -285,7 +248,7 @@ theorem append_left_lt [LT α] {xs ys zs : Array α} (h : ys < zs) :
cases zs
simpa using List.append_left_lt h
theorem append_left_le [LT α]
theorem append_left_le [DecidableEq α] [LT α] [DecidableLT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
@@ -309,7 +272,7 @@ protected theorem map_lt [LT α] [LT β]
cases ys
simpa using List.map_lt w h
protected theorem map_le [LT α] [LT β]
protected theorem map_le [DecidableEq α] [LT α] [DecidableLT α] [DecidableEq β] [LT β] [DecidableLT β]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]

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@@ -60,7 +60,7 @@ theorem mapFinIdx_spec {xs : Array α} {f : (i : Nat) → α → (h : i < xs.siz
@[simp, grind =] theorem size_zipIdx {xs : Array α} {k : Nat} : (xs.zipIdx k).size = xs.size :=
Array.size_mapFinIdx
@[deprecated size_zipIdx (since := "2025-01-21")] abbrev size_zipWithIndex := @size_zipIdx
@[simp, grind =] theorem getElem_mapFinIdx {xs : Array α} {f : (i : Nat) α (h : i < xs.size) β} {i : Nat}
(h : i < (xs.mapFinIdx f).size) :
@@ -132,20 +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} :

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

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@@ -6,8 +6,7 @@ Authors: Leonardo de Moura
module
prelude
public import Init.GetElem
import Init.Data.Array.GetLit
public import Init.Data.Array.Basic
public import Init.Data.Slice.Basic
public section
@@ -160,10 +159,64 @@ instance : EmptyCollection (Subarray α) :=
instance : Inhabited (Subarray α) :=
{}
/-!
`ForIn`, `foldlM`, `foldl` and other operations are implemented in `Init.Data.Slice.Array.Iterator`
using the slice iterator.
/--
The run-time implementation of `ForIn.forIn` for `Subarray`, which allows it to be used with `for`
loops in `do`-notation.
This definition replaces `Subarray.forIn`.
-/
@[inline] unsafe def forInUnsafe {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 :=
let sz := USize.ofNat s.stop
let rec @[specialize] loop (i : USize) (b : β) : m β := do
if i < sz then
let a := s.array.uget i lcProof
match ( f a b) with
| ForInStep.done b => pure b
| ForInStep.yield b => loop (i+1) b
else
pure b
loop (USize.ofNat s.start) b
/--
The implementation of `ForIn.forIn` for `Subarray`, which allows it to be used with `for` loops in
`do`-notation.
-/
-- TODO: provide reference implementation
@[implemented_by Subarray.forInUnsafe]
protected opaque 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 :=
pure b
instance : ForIn m (Subarray α) α where
forIn := Subarray.forIn
/--
Folds a monadic operation from left to right over the elements in a subarray.
An accumulator of type `β` is constructed by starting with `init` and monadically combining each
element of the subarray with the current accumulator value in turn. The monad in question may permit
early termination or repetition.
Examples:
```lean example
#eval #["red", "green", "blue"].toSubarray.foldlM (init := "") fun acc x => do
let l ← Option.guard (· ≠ 0) x.length
return s!"{acc}({l}){x} "
```
```output
some "(3)red (5)green (4)blue "
```
```lean example
#eval #["red", "green", "blue"].toSubarray.foldlM (init := 0) fun acc x => do
let l ← Option.guard (· ≠ 5) x.length
return s!"{acc}({l}){x} "
```
```output
none
```
-/
@[inline]
def 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 :=
as.array.foldlM f (init := init) (start := as.start) (stop := as.stop)
/--
Folds a monadic operation from right to left over the elements in a subarray.
@@ -260,6 +313,20 @@ The elements are processed starting at the highest index and moving down.
def forRevM {α : Type u} {m : Type v Type w} [Monad m] (f : α m PUnit) (as : Subarray α) : m PUnit :=
as.array.forRevM f (start := as.stop) (stop := as.start)
/--
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 foldl {α : Type u} {β : Type v} (f : β α β) (init : β) (as : Subarray α) : β :=
Id.run <| as.foldlM (pure <| f · ·) (init := init)
/--
Folds an operation from right to left over the elements in a subarray.
@@ -267,8 +334,8 @@ 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 :=
@@ -397,6 +464,18 @@ def toSubarray (as : Array α) (start : Nat := 0) (stop : Nat := as.size) : Suba
start_le_stop := Nat.le_refl _,
stop_le_array_size := Nat.le_refl _ }
/--
Allocates a new array that contains the contents of the subarray.
-/
@[coe]
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
/-- A subarray with the provided bounds.-/
syntax:max term noWs "[" withoutPosition(term ":" term) "]" : term
/-- A subarray with the provided lower bound that extends to the rest of the array. -/
@@ -410,3 +489,22 @@ macro_rules
| `($a[$start : ]) => `(let a := $a; Array.toSubarray a $start a.size)
end Array
@[inherit_doc Array.ofSubarray]
def Subarray.toArray (s : Subarray α) : Array α :=
Array.ofSubarray s
instance : Append (Subarray α) where
append x y :=
let a := x.toArray ++ y.toArray
a.toSubarray 0 a.size
/-- `Subarray` representation. -/
protected def Subarray.repr [Repr α] (s : Subarray α) : Std.Format :=
repr s.toArray ++ ".toSubarray"
instance [Repr α] : Repr (Subarray α) where
reprPrec s _ := Subarray.repr s
instance [ToString α] : ToString (Subarray α) where
toString s := toString s.toArray

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@@ -118,7 +118,7 @@ theorem zipWith_foldl_eq_zip_foldl {f : α → β → γ} {i : δ} :
theorem zipWith_eq_empty_iff {f : α β γ} {as : Array α} {bs : Array β} : zipWith f as bs = #[] as = #[] bs = #[] := by
cases as <;> cases bs <;> simp
@[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")]

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@@ -12,7 +12,7 @@ public import Init.Data.Nat.Power2
public import Init.Data.Int.Bitwise
public import Init.Data.BitVec.BasicAux
@[expose] public section
public section
/-!
We define the basic algebraic structure of bitvectors. We choose the `Fin` representation over
@@ -35,12 +35,7 @@ protected def ofNatLt {n : Nat} (i : Nat) (p : i < 2 ^ n) : BitVec n :=
section Nat
/--
`NatCast` instance for `BitVec`.
-/
-- As this is a lossy conversion, it should be removed as a global instance.
instance instNatCast : NatCast (BitVec w) where
natCast x := BitVec.ofNat w x
instance natCastInst : NatCast (BitVec w) := BitVec.ofNat w
/-- Theorem for normalizing the bitvector literal representation. -/
-- TODO: This needs more usage data to assess which direction the simp should go.
@@ -552,7 +547,7 @@ 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 +731,10 @@ 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`.

View File

@@ -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]

View File

@@ -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
@@ -745,6 +745,7 @@ theorem le_toNat_of_msb_true {w : Nat} {x : BitVec w} (h : x.msb = true) : 2 ^ (
`x.toInt` is less than `2^(w-1)`.
We phrase the fact in terms of `2^w` to prevent a case split on `w=0` when the lemma is used.
-/
@[grind]
theorem two_mul_toInt_lt {w : Nat} {x : BitVec w} : 2 * x.toInt < 2 ^ w := by
simp only [BitVec.toInt]
rcases w with _|w'
@@ -753,8 +754,6 @@ theorem two_mul_toInt_lt {w : Nat} {x : BitVec w} : 2 * x.toInt < 2 ^ w := by
simp only [Nat.zero_lt_succ, Nat.mul_lt_mul_left, Int.natCast_mul, Int.cast_ofNat_Int]
norm_cast; omega
grind_pattern two_mul_toInt_lt => x.toInt
theorem two_mul_toInt_le {w : Nat} {x : BitVec w} : 2 * x.toInt 2 ^ w - 1 :=
Int.le_sub_one_of_lt two_mul_toInt_lt
@@ -773,6 +772,7 @@ theorem toInt_le {w : Nat} {x : BitVec w} : x.toInt ≤ 2 ^ (w - 1) - 1 :=
`x.toInt` is greater than or equal to `-2^(w-1)`.
We phrase the fact in terms of `2^w` to prevent a case split on `w=0` when the lemma is used.
-/
@[grind]
theorem le_two_mul_toInt {w : Nat} {x : BitVec w} : -2 ^ w 2 * x.toInt := by
simp only [BitVec.toInt]
rcases w with _|w'
@@ -781,8 +781,6 @@ theorem le_two_mul_toInt {w : Nat} {x : BitVec w} : -2 ^ w ≤ 2 * x.toInt := by
simp only [Nat.zero_lt_succ, Nat.mul_lt_mul_left, Int.natCast_mul, Int.cast_ofNat_Int]
norm_cast; omega
grind_pattern le_two_mul_toInt => x.toInt
theorem le_toInt {w : Nat} (x : BitVec w) : -2 ^ (w - 1) x.toInt := by
by_cases h : w = 0
· subst h
@@ -1393,7 +1391,7 @@ 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 +1491,7 @@ 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 +3004,7 @@ 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 +4417,8 @@ 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 +5136,7 @@ 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
@@ -5766,27 +5764,11 @@ 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 =>
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
simp only [Classical.not_forall, Bool.not_eq_false]
exists n + k + 1
simp [show n < n + k + 1 by omega, hxn]
contradiction
· simp only [hxn, Bool.false_eq_true, reduceIte]
exact ihk
/-! ### Inequalities (le / lt) -/
theorem ule_eq_not_ult (x y : BitVec w) : x.ule y = !y.ult x := by
@@ -5842,8 +5824,13 @@ 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

View File

@@ -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']

View File

@@ -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

View File

@@ -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).

View File

@@ -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

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@@ -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]
@@ -170,24 +170,22 @@ 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
| zero =>
rw [foldrM_loop_zero, foldrM_loop_succ, pure_bind]
conv => rhs; rw [bind_pure (f 0 x)]
congr
funext
rw [foldrM_loop_zero]
rfl
| succ i ih =>
rw [foldrM_loop_succ, foldrM_loop_succ, bind_assoc]
congr; funext; exact ih ..
@@ -228,14 +226,14 @@ 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 +283,15 @@ 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

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@@ -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

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@@ -8,7 +8,6 @@ module
prelude
public import Init.Core
public import Init.Grind.Tactics
public section

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@@ -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
/--

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@@ -27,7 +27,7 @@ theorem compare_eq_ite_lt (a b : Int) :
simp only [compare, compareOfLessAndEq]
split
· rfl
next h =>
· next h =>
match Int.lt_or_eq_of_le (Int.not_lt.1 h) with
| .inl h => simp [h, Int.ne_of_gt h]
| .inr rfl => simp
@@ -36,11 +36,11 @@ theorem compare_eq_ite_le (a b : Int) :
compare a b = if a b then if b a then .eq else .lt else .gt := by
rw [compare_eq_ite_lt]
split
next hlt => simp [Int.le_of_lt hlt, Int.not_le.2 hlt]
next hge =>
· next hlt => simp [Int.le_of_lt hlt, Int.not_le.2 hlt]
· next hge =>
split
next hgt => simp [Int.not_le.2 hgt]
next hle => simp [Int.not_lt.1 hge, Int.not_lt.1 hle]
· next hgt => simp [Int.not_le.2 hgt]
· next hle => simp [Int.not_lt.1 hge, Int.not_lt.1 hle]
protected theorem compare_swap (a b : Int) : (compare a b).swap = compare b a := by
simp only [compare_eq_ite_le]; (repeat' split) <;> try rfl

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@@ -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

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@@ -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

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@@ -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

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@@ -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 -/

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@@ -98,12 +98,12 @@ instance Attach.instIteratorCollectPartial {α β : Type w} {m : Type w → Type
.defaultImplementation
instance Attach.instIteratorLoop {α β : Type w} {m : Type w Type w'} [Monad m]
{n : Type x Type x'} [Monad n] {P : β Prop} [Iterator α m β] :
[Monad n] {P : β Prop} [Iterator α m β] [MonadLiftT m n] :
IteratorLoop (Attach α m P) m n :=
.defaultImplementation
instance Attach.instIteratorLoopPartial {α β : Type w} {m : Type w Type w'} [Monad m]
{n : Type x Type x'} [Monad n] {P : β Prop} [Iterator α m β] :
[Monad n] {P : β Prop} [Iterator α m β] [MonadLiftT m n] :
IteratorLoopPartial (Attach α m P) m n :=
.defaultImplementation

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@@ -231,14 +231,14 @@ instance {α β γ : Type w} {m : Type w → Type w'}
.defaultImplementation
instance FilterMap.instIteratorLoop {α β γ : Type w} {m : Type w Type w'}
{n : Type w Type w''} {o : Type x Type x'}
{n : Type w Type w''} {o : Type w Type w'''}
[Monad n] [Monad o] [Iterator α m β] {lift : α : Type w m α n α}
{f : β PostconditionT n (Option γ)} [Finite α m] :
IteratorLoop (FilterMap α m n lift f) n o :=
.defaultImplementation
instance FilterMap.instIteratorLoopPartial {α β γ : Type w} {m : Type w Type w'}
{n : Type w Type w''} {o : Type x Type x'}
{n : Type w Type w''} {o : Type w Type w'''}
[Monad n] [Monad o] [Iterator α m β] {lift : α : Type w m α n α}
{f : β PostconditionT n (Option γ)} :
IteratorLoopPartial (FilterMap α m n lift f) n o :=
@@ -274,14 +274,14 @@ instance Map.instIteratorCollectPartial {α β γ : Type w} {m : Type w → Type
it.internalState.inner (m := m)
instance Map.instIteratorLoop {α β γ : Type w} {m : Type w Type w'}
{n : Type w Type w''} {o : Type x Type x'} [Monad n] [Monad o] [Iterator α m β]
{n : Type w Type w''} {o : Type w Type x} [Monad n] [Monad o] [Iterator α m β]
{lift : α : Type w m α n α}
{f : β PostconditionT n γ} :
IteratorLoop (Map α m n lift f) n o :=
.defaultImplementation
instance Map.instIteratorLoopPartial {α β γ : Type w} {m : Type w Type w'}
{n : Type w Type w''} {o : Type x Type x'} [Monad n] [Monad o] [Iterator α m β]
{n : Type w Type w''} {o : Type w Type x} [Monad n] [Monad o] [Iterator α m β]
{lift : α : Type w m α n α}
{f : β PostconditionT n γ} :
IteratorLoopPartial (Map α m n lift f) n o :=

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@@ -123,16 +123,15 @@ instance Types.ULiftIterator.instProductive [Iterator α m β] [Productive α m]
Productive (ULiftIterator α m n β lift) n :=
.of_productivenessRelation instProductivenessRelation
instance Types.ULiftIterator.instIteratorLoop {o : Type x Type x'} [Monad n] [Monad o]
[Iterator α m β] :
instance Types.ULiftIterator.instIteratorLoop {o} [Monad n] [Monad o] [Iterator α m β] :
IteratorLoop (ULiftIterator α m n β lift) n o :=
.defaultImplementation
instance Types.ULiftIterator.instIteratorLoopPartial {o : Type x Type x'} [Monad n] [Monad o] [Iterator α m β] :
instance Types.ULiftIterator.instIteratorLoopPartial {o} [Monad n] [Monad o] [Iterator α m β] :
IteratorLoopPartial (ULiftIterator α m n β lift) n o :=
.defaultImplementation
instance Types.ULiftIterator.instIteratorCollect [Monad n] [Monad o] [Iterator α m β] :
instance Types.ULiftIterator.instIteratorCollect {o} [Monad n] [Monad o] [Iterator α m β] :
IteratorCollect (ULiftIterator α m n β lift) n o :=
.defaultImplementation

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@@ -12,6 +12,4 @@ public import Init.Data.Iterators.Consumers.Collect
public import Init.Data.Iterators.Consumers.Loop
public import Init.Data.Iterators.Consumers.Partial
public import Init.Data.Iterators.Consumers.Stream
public section

View File

@@ -6,11 +6,12 @@ Authors: Paul Reichert
module
prelude
public import Init.Data.Stream
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
@@ -63,4 +64,15 @@ def Iter.atIdx? {α β} [Iterator α Id β] [Productive α Id] [IteratorAccess
| .skip _ => none
| .done => none
instance {α β} [Iterator α Id β] [Productive α Id] [IteratorAccess α Id] :
Stream (Iter (α := α) β) β where
next? it := match (it.toIterM.nextAtIdx? 0).run with
| .yield it' out _ => some (out, it'.toIter)
| .skip _ h => False.elim ?noskip
| .done _ => none
where finally
case noskip =>
revert h
exact IterM.not_isPlausibleNthOutputStep_yield
end Std.Iterators

View File

@@ -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

View File

@@ -33,42 +33,32 @@ so this is not marked as `instance`. This way, more convenient instances can be
or future library improvements will make it more comfortable.
-/
@[always_inline, inline]
def Iter.instForIn' {α : Type w} {β : Type w} {n : Type x Type x'} [Monad n]
def Iter.instForIn' {α : Type w} {β : Type w} {n : Type w Type w'} [Monad n]
[Iterator α Id β] [Finite α Id] [IteratorLoop α Id n] :
ForIn' n (Iter (α := α) β) β fun it out => it.IsPlausibleIndirectOutput out where
forIn' it init f :=
IteratorLoop.finiteForIn' (fun _ _ f c => f c.run) |>.forIn' it.toIterM init
IteratorLoop.finiteForIn' (fun δ (c : Id δ) => pure c.run) |>.forIn' it.toIterM init
fun out h acc =>
f out (Iter.isPlausibleIndirectOutput_iff_isPlausibleIndirectOutput_toIterM.mpr h) acc
instance (α : Type w) (β : Type w) (n : Type x Type x') [Monad n]
instance (α : Type w) (β : Type w) (n : Type w Type w') [Monad n]
[Iterator α Id β] [Finite α Id] [IteratorLoop α Id n] :
ForIn n (Iter (α := α) β) β :=
haveI : ForIn' n (Iter (α := α) β) β _ := Iter.instForIn'
instForInOfForIn'
@[always_inline, inline]
def Iter.Partial.instForIn' {α : Type w} {β : Type w} {n : Type x Type x'} [Monad n]
instance (α : Type w) (β : Type w) (n : Type w Type w') [Monad n]
[Iterator α Id β] [IteratorLoopPartial α Id n] :
ForIn' n (Iter.Partial (α := α) β) β fun it out => it.it.IsPlausibleIndirectOutput out where
forIn' it init f :=
IteratorLoopPartial.forInPartial (α := α) (m := Id) (n := n) (fun _ _ f c => f c.run)
it.it.toIterM init
fun out h acc =>
f out (Iter.isPlausibleIndirectOutput_iff_isPlausibleIndirectOutput_toIterM.mpr h) acc
ForIn n (Iter.Partial (α := α) β) β where
forIn it init f :=
ForIn.forIn it.it.toIterM.allowNontermination init f
instance (α : Type w) (β : Type w) (n : Type x Type x') [Monad n]
[Iterator α Id β] [IteratorLoopPartial α Id n] :
ForIn n (Iter.Partial (α := α) β) β :=
haveI : ForIn' n (Iter.Partial (α := α) β) β _ := Iter.Partial.instForIn'
instForInOfForIn'
instance {m : Type x Type x'}
instance {m : Type w Type w'}
{α : Type w} {β : Type w} [Iterator α Id β] [Finite α Id] [IteratorLoop α Id m] :
ForM m (Iter (α := α) β) β where
forM it f := forIn it PUnit.unit (fun out _ => do f out; return .yield .unit)
instance {m : Type x Type x'}
instance {m : Type w Type w'}
{α : Type w} {β : Type w} [Iterator α Id β] [Finite α Id] [IteratorLoopPartial α Id m] :
ForM m (Iter.Partial (α := α) β) β where
forM it f := forIn it PUnit.unit (fun out _ => do f out; return .yield .unit)
@@ -85,8 +75,8 @@ number of steps. If the iterator is not finite or such an instance is not availa
verify the behavior of the partial variant.
-/
@[always_inline, inline]
def Iter.foldM {m : Type x Type x'} [Monad m]
{α : Type w} {β : Type w} {γ : Type x} [Iterator α Id β] [Finite α Id]
def Iter.foldM {m : Type w Type w'} [Monad m]
{α : Type w} {β : Type w} {γ : Type w} [Iterator α Id β] [Finite α Id]
[IteratorLoop α Id m] (f : γ β m γ)
(init : γ) (it : Iter (α := α) β) : m γ :=
ForIn.forIn it init (fun x acc => ForInStep.yield <$> f acc x)
@@ -101,8 +91,8 @@ This is a partial, potentially nonterminating, function. It is not possible to f
its behavior. If the iterator has a `Finite` instance, consider using `IterM.foldM` instead.
-/
@[always_inline, inline]
def Iter.Partial.foldM {m : Type x Type x'} [Monad m]
{α : Type w} {β : Type w} {γ : Type x} [Iterator α Id β]
def Iter.Partial.foldM {m : Type w Type w'} [Monad m]
{α : Type w} {β : Type w} {γ : Type w} [Iterator α Id β]
[IteratorLoopPartial α Id m] (f : γ β m γ)
(init : γ) (it : Iter.Partial (α := α) β) : m γ :=
ForIn.forIn it init (fun x acc => ForInStep.yield <$> f acc x)
@@ -119,7 +109,7 @@ number of steps. If the iterator is not finite or such an instance is not availa
verify the behavior of the partial variant.
-/
@[always_inline, inline]
def Iter.fold {α : Type w} {β : Type w} {γ : Type x} [Iterator α Id β] [Finite α Id]
def Iter.fold {α : Type w} {β : Type w} {γ : Type w} [Iterator α Id β] [Finite α Id]
[IteratorLoop α Id Id] (f : γ β γ)
(init : γ) (it : Iter (α := α) β) : γ :=
ForIn.forIn (m := Id) it init (fun x acc => ForInStep.yield (f acc x))
@@ -134,7 +124,7 @@ This is a partial, potentially nonterminating, function. It is not possible to f
its behavior. If the iterator has a `Finite` instance, consider using `IterM.fold` instead.
-/
@[always_inline, inline]
def Iter.Partial.fold {α : Type w} {β : Type w} {γ : Type x} [Iterator α Id β]
def Iter.Partial.fold {α : Type w} {β : Type w} {γ : Type w} [Iterator α Id β]
[IteratorLoopPartial α Id Id] (f : γ β γ)
(init : γ) (it : Iter.Partial (α := α) β) : γ :=
ForIn.forIn (m := Id) it init (fun x acc => ForInStep.yield (f acc x))

View File

@@ -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

View File

@@ -9,7 +9,6 @@ prelude
public import Init.RCases
public import Init.Data.Iterators.Basic
public import Init.Data.Iterators.Consumers.Monadic.Partial
public import Init.Data.Iterators.Internal.LawfulMonadLiftFunction
public section
@@ -33,8 +32,6 @@ asserts that an `IteratorLoop` instance equals the default implementation.
namespace Std.Iterators
open Std.Internal
section Typeclasses
/--
@@ -42,7 +39,6 @@ Relation that needs to be well-formed in order for a loop over an iterator to te
It is assumed that the `plausible_forInStep` predicate relates the input and output of the
stepper function.
-/
@[expose]
def IteratorLoop.rel (α : Type w) (m : Type w Type w') {β : Type w} [Iterator α m β]
{γ : Type x} (plausible_forInStep : β γ ForInStep γ Prop)
(p' p : IterM (α := α) m β × γ) : Prop :=
@@ -52,7 +48,6 @@ def IteratorLoop.rel (α : Type w) (m : Type w → Type w') {β : Type w} [Itera
/--
Asserts that `IteratorLoop.rel` is well-founded.
-/
@[expose]
def IteratorLoop.WellFounded (α : Type w) (m : Type w Type w') {β : Type w} [Iterator α m β]
{γ : Type x} (plausible_forInStep : β γ ForInStep γ Prop) : Prop :=
_root_.WellFounded (IteratorLoop.rel α m plausible_forInStep)
@@ -66,10 +61,9 @@ This class is experimental and users of the iterator API should not explicitly d
They can, however, assume that consumers that require an instance will work for all iterators
provided by the standard library.
-/
@[ext]
class IteratorLoop (α : Type w) (m : Type w Type w') {β : Type w} [Iterator α m β]
(n : Type x Type x') where
forIn : (_liftBind : (γ : Type w) (δ : Type x) (γ n δ) m γ n δ) (γ : Type x),
(n : Type w Type w'') where
forIn : (_lift : (γ : Type w) m γ n γ) (γ : Type w),
(plausible_forInStep : β γ ForInStep γ Prop)
IteratorLoop.WellFounded α m plausible_forInStep
(it : IterM (α := α) m β) γ
@@ -85,8 +79,8 @@ They can, however, assume that consumers that require an instance will work for
provided by the standard library.
-/
class IteratorLoopPartial (α : Type w) (m : Type w Type w') {β : Type w} [Iterator α m β]
(n : Type x Type x') where
forInPartial : (_liftBind : (γ : Type w) (δ : Type x) (γ n δ) m γ n δ) {γ : Type x},
(n : Type w Type w'') where
forInPartial : (_lift : (γ : Type w) m γ n γ) {γ : Type w},
(it : IterM (α := α) m β) γ
((b : β) it.IsPlausibleIndirectOutput b (c : γ) n (ForInStep γ)) n γ
@@ -114,36 +108,43 @@ class IteratorSizePartial (α : Type w) (m : Type w → Type w') {β : Type w} [
end Typeclasses
/-- Internal implementation detail of the iterator library. -/
structure IteratorLoop.WithWF (α : Type w) (m : Type w Type w') {β : Type w} [Iterator α m β]
{γ : Type x} (PlausibleForInStep : β γ ForInStep γ Prop)
(hwf : IteratorLoop.WellFounded α m PlausibleForInStep) where
it : IterM (α := α) m β
acc : γ
def IteratorLoop.WFRel {α : Type w} {m : Type w Type w'} {β : Type w} [Iterator α m β]
{γ : Type x} {plausible_forInStep : β γ ForInStep γ Prop}
(_wf : WellFounded α m plausible_forInStep) :=
IterM (α := α) m β × γ
instance IteratorLoop.WithWF.instWellFoundedRelation
(α : Type w) (m : Type w Type w') {β : Type w} [Iterator α m β]
{γ : Type x} (PlausibleForInStep : β γ ForInStep γ Prop)
(hwf : IteratorLoop.WellFounded α m PlausibleForInStep) :
WellFoundedRelation (WithWF α m PlausibleForInStep hwf) where
rel := InvImage (IteratorLoop.rel α m PlausibleForInStep) (fun x => (x.it, x.acc))
wf := by exact InvImage.wf _ hwf
/-- Internal implementation detail of the iterator library. -/
def IteratorLoop.WFRel.mk {α : Type w} {m : Type w Type w'} {β : Type w} [Iterator α m β]
{γ : Type x} {plausible_forInStep : β γ ForInStep γ Prop}
(wf : WellFounded α m plausible_forInStep) (it : IterM (α := α) m β) (c : γ) :
IteratorLoop.WFRel wf :=
(it, c)
private instance {α : Type w} {m : Type w Type w'} {β : Type w} [Iterator α m β]
{γ : Type x} {plausible_forInStep : β γ ForInStep γ Prop}
(wf : IteratorLoop.WellFounded α m plausible_forInStep) :
WellFoundedRelation (IteratorLoop.WFRel wf) where
rel := IteratorLoop.rel α m plausible_forInStep
wf := wf
/--
This is the loop implementation of the default instance `IteratorLoop.defaultImplementation`.
-/
@[specialize, expose]
@[specialize]
def IterM.DefaultConsumers.forIn' {m : Type w Type w'} {α : Type w} {β : Type w}
[Iterator α m β]
{n : Type x Type x'} [Monad n]
(lift : γ δ, (γ n δ) m γ n δ) (γ : Type x)
{n : Type w Type w''} [Monad n]
(lift : γ, m γ n γ) (γ : Type w)
(plausible_forInStep : β γ ForInStep γ Prop)
(wf : IteratorLoop.WellFounded α m plausible_forInStep)
(it : IterM (α := α) m β) (init : γ)
(P : β Prop) (hP : b, it.IsPlausibleIndirectOutput b P b)
(f : (b : β) P b (c : γ) n (Subtype (plausible_forInStep b c))) : n γ :=
haveI : WellFounded _ := wf
(lift _ _ · it.step) fun
| .yield it' out h => do
letI : MonadLift m n := fun {γ} => lift γ
do
match it.step with
| .yield it' out h =>
match f out (hP _ <| .direct _, h) init with
| .yield c, _ =>
IterM.DefaultConsumers.forIn' lift _ plausible_forInStep wf it' c P
@@ -153,50 +154,18 @@ def IterM.DefaultConsumers.forIn' {m : Type w → Type w'} {α : Type w} {β : T
IterM.DefaultConsumers.forIn' lift _ plausible_forInStep wf it' init P
(fun _ h' => hP _ <| .indirect _, rfl, h h') f
| .done _ => return init
termination_by IteratorLoop.WithWF.mk it init (hwf := wf)
termination_by IteratorLoop.WFRel.mk wf it init
decreasing_by
· exact Or.inl out, _, _
· exact Or.inr _, rfl
theorem IterM.DefaultConsumers.forIn'_eq_forIn' {m : Type w Type w'} {α : Type w} {β : Type w}
[Iterator α m β]
{n : Type x Type x'} [Monad n]
{lift : γ δ, (γ n δ) m γ n δ} {γ : Type x}
{Pl : β γ ForInStep γ Prop}
{wf : IteratorLoop.WellFounded α m Pl}
{it : IterM (α := α) m β} {init : γ}
{P : β Prop} {hP : b, it.IsPlausibleIndirectOutput b P b}
{Q : β Prop} {hQ : b, it.IsPlausibleIndirectOutput b Q b}
{f : (b : β) P b (c : γ) n (Subtype (Pl b c))}
{g : (b : β) Q b (c : γ) n (Subtype (Pl b c))}
(hfg : b c, (hPb : P b) (hQb : Q b) f b hPb c = g b hQb c) :
IterM.DefaultConsumers.forIn' lift γ Pl wf it init P hP f =
IterM.DefaultConsumers.forIn' lift γ Pl wf it init Q hQ g := by
rw [forIn', forIn']
congr; ext step
split
· congr
· apply hfg
· ext
split
· apply IterM.DefaultConsumers.forIn'_eq_forIn'
assumption
· rfl
· apply IterM.DefaultConsumers.forIn'_eq_forIn'
assumption
· rfl
termination_by IteratorLoop.WithWF.mk it init (hwf := wf)
decreasing_by
· exact Or.inl _, _, _
· exact Or.inr _, rfl
/--
This is the default implementation of the `IteratorLoop` class.
It simply iterates through the iterator using `IterM.step`. For certain iterators, more efficient
implementations are possible and should be used instead.
-/
@[always_inline, inline, expose]
def IteratorLoop.defaultImplementation {α : Type w} {m : Type w Type w'} {n : Type x Type x'}
@[always_inline, inline]
def IteratorLoop.defaultImplementation {α : Type w} {m : Type w Type w'} {n : Type w Type w''}
[Monad n] [Iterator α m β] :
IteratorLoop α m n where
forIn lift γ Pl wf it init := IterM.DefaultConsumers.forIn' lift γ Pl wf it init _ (fun _ => id)
@@ -205,10 +174,9 @@ def IteratorLoop.defaultImplementation {α : Type w} {m : Type w → Type w'} {n
Asserts that a given `IteratorLoop` instance is equal to `IteratorLoop.defaultImplementation`.
(Even though equal, the given instance might be vastly more efficient.)
-/
class LawfulIteratorLoop (α : Type w) (m : Type w Type w') (n : Type x Type x')
[Monad m] [Monad n] [Iterator α m β] [i : IteratorLoop α m n] where
lawful : lift [LawfulMonadLiftBindFunction lift], i.forIn lift =
IteratorLoop.defaultImplementation.forIn lift
class LawfulIteratorLoop (α : Type w) (m : Type w Type w') (n : Type w Type w'')
[Monad n] [Iterator α m β] [Finite α m] [i : IteratorLoop α m n] where
lawful : i = .defaultImplementation
/--
This is the loop implementation of the default instance `IteratorLoopPartial.defaultImplementation`.
@@ -216,21 +184,23 @@ This is the loop implementation of the default instance `IteratorLoopPartial.def
@[specialize]
partial def IterM.DefaultConsumers.forInPartial {m : Type w Type w'} {α : Type w} {β : Type w}
[Iterator α m β]
{n : Type x Type x'} [Monad n]
(lift : γ δ, (γ n δ) m γ n δ) (γ : Type x)
{n : Type w Type w''} [Monad n]
(lift : γ, m γ n γ) (γ : Type w)
(it : IterM (α := α) m β) (init : γ)
(f : (b : β) it.IsPlausibleIndirectOutput b (c : γ) n (ForInStep γ)) : n γ :=
(lift _ _ · it.step) fun
| .yield it' out h => do
match f out (.direct _, h) init with
| .yield c =>
IterM.DefaultConsumers.forInPartial lift _ it' c
fun out h' acc => f out (.indirect _, rfl, h h') acc
| .done c => return c
| .skip it' h =>
IterM.DefaultConsumers.forInPartial lift _ it' init
letI : MonadLift m n := fun {γ} => lift γ
do
match it.step with
| .yield it' out h =>
match f out (.direct _, h) init with
| .yield c =>
IterM.DefaultConsumers.forInPartial lift _ it' c
fun out h' acc => f out (.indirect _, rfl, h h') acc
| .done _ => return init
| .done c => return c
| .skip it' h =>
IterM.DefaultConsumers.forInPartial lift _ it' init
fun out h' acc => f out (.indirect _, rfl, h h') acc
| .done _ => return init
/--
This is the default implementation of the `IteratorLoopPartial` class.
@@ -239,19 +209,19 @@ implementations are possible and should be used instead.
-/
@[always_inline, inline]
def IteratorLoopPartial.defaultImplementation {α : Type w} {m : Type w Type w'}
{n : Type x Type x'} [Monad m] [Monad n] [Iterator α m β] :
{n : Type w Type w''} [Monad m] [Monad n] [Iterator α m β] :
IteratorLoopPartial α m n where
forInPartial lift := IterM.DefaultConsumers.forInPartial lift _
instance (α : Type w) (m : Type w Type w') (n : Type x Type x')
instance (α : Type w) (m : Type w Type w') (n : Type w Type w'')
[Monad m] [Monad n] [Iterator α m β] [Finite α m] :
letI : IteratorLoop α m n := .defaultImplementation
LawfulIteratorLoop α m n :=
letI : IteratorLoop α m n := .defaultImplementation
fun _ => rfl
rfl
theorem IteratorLoop.wellFounded_of_finite {m : Type w Type w'}
{α β : Type w} {γ : Type x} [Iterator α m β] [Finite α m] :
{α β γ : Type w} [Iterator α m β] [Finite α m] :
WellFounded α m (γ := γ) fun _ _ _ => True := by
apply Subrelation.wf
(r := InvImage IterM.TerminationMeasures.Finite.Rel (fun p => p.1.finitelyManySteps))
@@ -267,9 +237,9 @@ theorem IteratorLoop.wellFounded_of_finite {m : Type w → Type w'}
This `ForIn'`-style loop construct traverses a finite iterator using an `IteratorLoop` instance.
-/
@[always_inline, inline]
def IteratorLoop.finiteForIn' {m : Type w Type w'} {n : Type x Type x'}
def IteratorLoop.finiteForIn' {m : Type w Type w'} {n : Type w Type w''}
{α : Type w} {β : Type w} [Iterator α m β] [Finite α m] [IteratorLoop α m n]
(lift : γ δ, (γ n δ) m γ n δ) :
(lift : γ, m γ n γ) :
ForIn' n (IterM (α := α) m β) β fun it out => it.IsPlausibleIndirectOutput out where
forIn' {γ} [Monad n] it init f :=
IteratorLoop.forIn (α := α) (m := m) lift γ (fun _ _ _ => True)
@@ -283,30 +253,23 @@ or future library improvements will make it more comfortable.
-/
@[always_inline, inline]
def IterM.instForIn' {m : Type w Type w'} {n : Type w Type w''}
{α : Type w} {β : Type w} [Iterator α m β] [Finite α m] [IteratorLoop α m n] [Monad n]
{α : Type w} {β : Type w} [Iterator α m β] [Finite α m] [IteratorLoop α m n]
[MonadLiftT m n] :
ForIn' n (IterM (α := α) m β) β fun it out => it.IsPlausibleIndirectOutput out :=
IteratorLoop.finiteForIn' (fun _ _ f x => monadLift x >>= f)
IteratorLoop.finiteForIn' (fun _ => monadLift)
instance {m : Type w Type w'} {n : Type w Type w''}
{α : Type w} {β : Type w} [Iterator α m β] [Finite α m] [IteratorLoop α m n]
[MonadLiftT m n] [Monad n] :
[MonadLiftT m n] :
ForIn n (IterM (α := α) m β) β :=
haveI : ForIn' n (IterM (α := α) m β) β _ := IterM.instForIn'
instForInOfForIn'
@[always_inline, inline]
def IterM.Partial.instForIn' {m : Type w Type w'} {n : Type w Type w''}
{α : Type w} {β : Type w} [Iterator α m β] [IteratorLoopPartial α m n] [MonadLiftT m n] [Monad n] :
ForIn' n (IterM.Partial (α := α) m β) β fun it out => it.it.IsPlausibleIndirectOutput out where
forIn' it init f := IteratorLoopPartial.forInPartial (α := α) (m := m) (n := n)
(fun _ _ f x => monadLift x >>= f) it.it init f
instance {m : Type w Type w'} {n : Type w Type w''}
{α : Type w} {β : Type w} [Iterator α m β] [IteratorLoopPartial α m n] [MonadLiftT m n] [Monad n] :
ForIn n (IterM.Partial (α := α) m β) β :=
haveI : ForIn' n (IterM.Partial (α := α) m β) β _ := IterM.Partial.instForIn'
instForInOfForIn'
{α : Type w} {β : Type w} [Iterator α m β] [IteratorLoopPartial α m n] [MonadLiftT m n] :
ForIn' n (IterM.Partial (α := α) m β) β fun it out => it.it.IsPlausibleIndirectOutput out where
forIn' it init f :=
IteratorLoopPartial.forInPartial (α := α) (m := m) (fun _ => monadLift) it.it init f
instance {m : Type w Type w'} {n : Type w Type w''}
{α : Type w} {β : Type w} [Iterator α m β] [Finite α m] [IteratorLoop α m n]

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@@ -1,27 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Paul Reichert
-/
module
prelude
public import Init.Data.Stream
public import Init.Data.Iterators.Consumers.Access
public section
namespace Std.Iterators
instance {α β} [Iterator α Id β] [Productive α Id] [IteratorAccess α Id] :
Stream (Iter (α := α) β) β where
next? it := match (it.toIterM.nextAtIdx? 0).run with
| .yield it' out _ => some (out, it'.toIter)
| .skip _ h => False.elim ?noskip
| .done _ => none
where finally
case noskip =>
revert h
exact IterM.not_isPlausibleNthOutputStep_yield
end Std.Iterators

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@@ -24,12 +24,6 @@ the requirement that the `MonadLift(T)` instance induced by `f` admits a
namespace Std.Internal
class LawfulMonadLiftBindFunction {m : Type u Type v} {n : Type w Type x} [Monad m]
[Monad n] (liftBind : γ δ, (γ n δ) m γ n δ) where
liftBind_pure {γ δ} (f : γ n δ) (a : γ) : liftBind γ δ f (pure a) = f a
liftBind_bind {β γ δ} (f : γ n δ) (x : m β) (g : β m γ) :
liftBind γ δ f (x >>= g) = liftBind β δ (fun b => liftBind γ δ f (g b)) x
class LawfulMonadLiftFunction {m : Type u Type v} {n : Type u Type w}
[Monad m] [Monad n] (lift : α : Type u m α n α) where
lift_pure {α : Type u} (a : α) : lift (pure a) = pure a
@@ -85,35 +79,4 @@ instance [LawfulMonadLiftFunction lift] :
{ monadLift_pure := LawfulMonadLiftFunction.lift_pure
monadLift_bind := LawfulMonadLiftFunction.lift_bind }
section LiftBind
variable {liftBind : γ δ, (γ m δ) m γ m δ}
instance [LawfulMonadLiftBindFunction (n := n) (fun _ _ f x => lift x >>= f)] [LawfulMonad n] :
LawfulMonadLiftFunction lift where
lift_pure {γ} a := by
simpa using LawfulMonadLiftBindFunction.liftBind_pure (n := n)
(liftBind := fun _ _ f x => lift x >>= f) (γ := γ) (δ := γ) pure a
lift_bind {β γ} x g := by
simpa using LawfulMonadLiftBindFunction.liftBind_bind (n := n)
(liftBind := fun _ _ f x => lift x >>= f) (β := β) (γ := γ) (δ := γ) pure x g
def LawfulMonadLiftBindFunction.id [Monad m] [LawfulMonad m] :
LawfulMonadLiftBindFunction (m := Id) (n := m) (fun _ _ f x => f x.run) where
liftBind_pure := by simp
liftBind_bind := by simp
instance {m : Type u Type v} [Monad m] {n : Type u Type w} [Monad n] [MonadLiftT m n]
[LawfulMonadLiftT m n] [LawfulMonad n] :
LawfulMonadLiftBindFunction (fun γ δ (f : γ n δ) (x : m γ) => monadLift x >>= f) where
liftBind_pure := by simp
liftBind_bind := by simp
instance {n : Type u Type w} [Monad n] [LawfulMonad n] :
LawfulMonadLiftBindFunction (fun γ δ (f : γ n δ) (x : Id γ) => f x.run) where
liftBind_pure := by simp
liftBind_bind := by simp
end LiftBind
end Std.Internal

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@@ -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

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

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

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@@ -6,7 +6,6 @@ Authors: Paul Reichert
module
prelude
public import Init.Control.Lawful.MonadLift.Instances
public import Init.Data.Iterators.Lemmas.Consumers.Collect
public import all Init.Data.Iterators.Lemmas.Consumers.Monadic.Loop
public import all Init.Data.Iterators.Consumers.Loop
@@ -17,28 +16,27 @@ public section
namespace Std.Iterators
theorem Iter.forIn'_eq {α β : Type w} [Iterator α Id β] [Finite α Id]
{m : Type x Type x'} [Monad m] [LawfulMonad m] [IteratorLoop α Id m] [hl : LawfulIteratorLoop α Id m]
{γ : Type x} {it : Iter (α := α) β} {init : γ}
{m : Type w Type w''} [Monad m] [IteratorLoop α Id m] [hl : LawfulIteratorLoop α Id m]
{γ : Type w} {it : Iter (α := α) β} {init : γ}
{f : (b : β) it.IsPlausibleIndirectOutput b γ m (ForInStep γ)} :
letI : ForIn' m (Iter (α := α) β) β _ := Iter.instForIn'
ForIn'.forIn' it init f =
IterM.DefaultConsumers.forIn' (fun _ _ f x => f x.run) γ (fun _ _ _ => True)
IterM.DefaultConsumers.forIn' (fun _ c => pure c.run) γ (fun _ _ _ => True)
IteratorLoop.wellFounded_of_finite it.toIterM init _ (fun _ => id)
(fun out h acc => (·, .intro) <$>
f out (Iter.isPlausibleIndirectOutput_iff_isPlausibleIndirectOutput_toIterM.mpr h) acc) := by
simp [instForIn', ForIn'.forIn', IteratorLoop.finiteForIn', hl.lawful (fun γ δ f x => f x.run),
IteratorLoop.defaultImplementation]
cases hl.lawful; rfl
theorem Iter.forIn_eq {α β : Type w} [Iterator α Id β] [Finite α Id]
{m : Type x Type x'} [Monad m] [LawfulMonad m] [IteratorLoop α Id m]
[hl : LawfulIteratorLoop α Id m] {γ : Type x} {it : Iter (α := α) β} {init : γ}
{m : Type w Type w''} [Monad m] [IteratorLoop α Id m] [hl : LawfulIteratorLoop α Id m]
{γ : Type w} {it : Iter (α := α) β} {init : γ}
{f : (b : β) γ m (ForInStep γ)} :
ForIn.forIn it init f =
IterM.DefaultConsumers.forIn' (fun _ _ f c => f c.run) γ (fun _ _ _ => True)
IterM.DefaultConsumers.forIn' (fun _ c => pure c.run) γ (fun _ _ _ => True)
IteratorLoop.wellFounded_of_finite it.toIterM init _ (fun _ => id)
(fun out _ acc => (·, .intro) <$>
f out acc) := by
simp [ForIn.forIn, forIn'_eq, -forIn'_eq_forIn]
cases hl.lawful; rfl
theorem Iter.forIn'_eq_forIn'_toIterM {α β : Type w} [Iterator α Id β]
[Finite α Id] {m : Type w Type w''} [Monad m] [LawfulMonad m]
@@ -50,7 +48,7 @@ theorem Iter.forIn'_eq_forIn'_toIterM {α β : Type w} [Iterator α Id β]
letI : ForIn' m (IterM (α := α) Id β) β _ := IterM.instForIn'
ForIn'.forIn' it.toIterM init
(fun out h acc => f out (isPlausibleIndirectOutput_iff_isPlausibleIndirectOutput_toIterM.mpr h) acc) := by
simp [ForIn'.forIn', Iter.instForIn', IterM.instForIn', monadLift]
rfl
theorem Iter.forIn_eq_forIn_toIterM {α β : Type w} [Iterator α Id β]
[Finite α Id] {m : Type w Type w''} [Monad m] [LawfulMonad m]
@@ -59,12 +57,12 @@ theorem Iter.forIn_eq_forIn_toIterM {α β : Type w} [Iterator α Id β]
{f : β γ m (ForInStep γ)} :
ForIn.forIn it init f =
ForIn.forIn it.toIterM init f := by
simp [forIn_eq_forIn', forIn'_eq_forIn'_toIterM, -forIn'_eq_forIn]
rfl
theorem Iter.forIn'_eq_match_step {α β : Type w} [Iterator α Id β]
[Finite α Id] {m : Type x Type x''} [Monad m] [LawfulMonad m]
[Finite α Id] {m : Type w Type w''} [Monad m] [LawfulMonad m]
[IteratorLoop α Id m] [LawfulIteratorLoop α Id m]
{γ : Type x} {it : Iter (α := α) β} {init : γ}
{γ : Type w} {it : Iter (α := α) β} {init : γ}
{f : (out : β) _ γ m (ForInStep γ)} :
letI : ForIn' m (Iter (α := α) β) β _ := Iter.instForIn'
ForIn'.forIn' it init f = (do
@@ -79,27 +77,20 @@ theorem Iter.forIn'_eq_match_step {α β : Type w} [Iterator α Id β]
ForIn'.forIn' it' init
fun out h' acc => f out (.indirect _, rfl, h h') acc
| .done _ => return init) := by
simp only [forIn'_eq]
rw [IterM.DefaultConsumers.forIn'_eq_match_step]
simp only [bind_map_left, Iter.step]
cases it.toIterM.step.run using PlausibleIterStep.casesOn
· simp only [IterM.Step.toPure_yield, PlausibleIterStep.yield, toIter_toIterM, toIterM_toIter]
apply bind_congr
rw [Iter.forIn'_eq_forIn'_toIterM, @IterM.forIn'_eq_match_step, Iter.step]
simp only [liftM, monadLift, pure_bind]
generalize it.toIterM.step = step
cases step using PlausibleIterStep.casesOn
· apply bind_congr
intro forInStep
cases forInStep
· simp
· simp only
apply IterM.DefaultConsumers.forIn'_eq_forIn'
intros; congr
· simp only
apply IterM.DefaultConsumers.forIn'_eq_forIn'
intros; congr
· simp
rfl
· rfl
· rfl
theorem Iter.forIn_eq_match_step {α β : Type w} [Iterator α Id β]
[Finite α Id] {m : Type x Type x'} [Monad m] [LawfulMonad m]
[Finite α Id] {m : Type w Type w''} [Monad m] [LawfulMonad m]
[IteratorLoop α Id m] [LawfulIteratorLoop α Id m]
{γ : Type x} {it : Iter (α := α) β} {init : γ}
{γ : Type w} {it : Iter (α := α) β} {init : γ}
{f : β γ m (ForInStep γ)} :
ForIn.forIn it init f = (do
match it.step with
@@ -109,15 +100,23 @@ theorem Iter.forIn_eq_match_step {α β : Type w} [Iterator α Id β]
| .done c => return c
| .skip it' _ => ForIn.forIn it' init f
| .done _ => return init) := by
simp only [forIn_eq_forIn']
exact forIn'_eq_match_step
rw [Iter.forIn_eq_forIn_toIterM, @IterM.forIn_eq_match_step, Iter.step]
simp only [liftM, monadLift, pure_bind]
generalize it.toIterM.step = step
cases step using PlausibleIterStep.casesOn
· apply bind_congr
intro forInStep
rfl
· rfl
· rfl
private theorem Iter.forIn'_toList.aux {ρ : Type u} {α : Type v} {γ : Type x} {m : Type x Type x'}
private theorem Iter.forIn'_toList.aux {ρ : Type u} {α : Type v} {γ : Type w} {m : Type w Type w'}
[Monad m] {_ : Membership α ρ} [ForIn' m ρ α inferInstance]
{r s : ρ} {init : γ} {f : (a : α) _ γ m (ForInStep γ)} (h : r = s) :
forIn' r init f = forIn' s init (fun a h' acc => f a (h h') acc) := by
cases h; rfl
theorem Iter.isPlausibleStep_iff_step_eq {α β} [Iterator α Id β]
[IteratorCollect α Id Id] [Finite α Id]
[LawfulIteratorCollect α Id Id] [LawfulDeterministicIterator α Id]
@@ -143,7 +142,7 @@ 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
@@ -186,15 +185,15 @@ theorem Iter.mem_toList_iff_isPlausibleIndirectOutput {α β} [Iterator α Id β
simp [heq, IterStep.successor] at h₁
theorem Iter.forIn'_toList {α β : Type w} [Iterator α Id β]
[Finite α Id] {m : Type x Type x'} [Monad m] [LawfulMonad m]
[Finite α Id] {m : Type w Type w''} [Monad m] [LawfulMonad m]
[IteratorLoop α Id m] [LawfulIteratorLoop α Id m]
[IteratorCollect α Id Id] [LawfulIteratorCollect α Id Id]
[LawfulDeterministicIterator α Id]
{γ : Type x} {it : Iter (α := α) β} {init : γ}
{γ : Type w} {it : Iter (α := α) β} {init : γ}
{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]
@@ -220,11 +219,11 @@ theorem Iter.forIn'_toList {α β : Type w} [Iterator α Id β]
· simp
theorem Iter.forIn'_eq_forIn'_toList {α β : Type w} [Iterator α Id β]
[Finite α Id] {m : Type x Type x'} [Monad m] [LawfulMonad m]
[Finite α Id] {m : Type w Type w''} [Monad m] [LawfulMonad m]
[IteratorLoop α Id m] [LawfulIteratorLoop α Id m]
[IteratorCollect α Id Id] [LawfulIteratorCollect α Id Id]
[LawfulDeterministicIterator α Id]
{γ : Type x} {it : Iter (α := α) β} {init : γ}
{γ : Type w} {it : Iter (α := α) β} {init : γ}
{f : (out : β) _ γ m (ForInStep γ)} :
letI : ForIn' m (Iter (α := α) β) β _ := Iter.instForIn'
ForIn'.forIn' it init f = ForIn'.forIn' it.toList init (fun out h acc => f out (Iter.mem_toList_iff_isPlausibleIndirectOutput.mp h) acc) := by
@@ -232,14 +231,14 @@ theorem Iter.forIn'_eq_forIn'_toList {α β : Type w} [Iterator α Id β]
congr
theorem Iter.forIn_toList {α β : Type w} [Iterator α Id β]
[Finite α Id] {m : Type x Type x'} [Monad m] [LawfulMonad m]
[Finite α Id] {m : Type w Type w''} [Monad m] [LawfulMonad m]
[IteratorLoop α Id m] [LawfulIteratorLoop α Id m]
[IteratorCollect α Id Id] [LawfulIteratorCollect α Id Id]
{γ : Type x} {it : Iter (α := α) β} {init : γ}
{γ : Type w} {it : Iter (α := α) β} {init : γ}
{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
@@ -251,14 +250,14 @@ theorem Iter.forIn_toList {α β : Type w} [Iterator α Id β]
cases forInStep
· induction it'.toList <;> simp [*]
· simp only [ForIn.forIn] at ihy
simp [ihy h]
simp [ihy h, forIn_eq_forIn_toIterM]
· rename_i it' h
simp only [bind_pure_comp]
rw [ihs h]
· simp
theorem Iter.foldM_eq_forIn {α β : Type w} {γ : Type x} [Iterator α Id β] [Finite α Id]
{m : Type x Type x'} [Monad m] [IteratorLoop α Id m] {f : γ β m γ}
theorem Iter.foldM_eq_forIn {α β γ : Type w} [Iterator α Id β] [Finite α Id] {m : Type w Type w'}
[Monad m] [IteratorLoop α Id m] {f : γ β m γ}
{init : γ} {it : Iter (α := α) β} :
it.foldM (init := init) f = ForIn.forIn it init (fun x acc => ForInStep.yield <$> f acc x) :=
(rfl)
@@ -267,19 +266,19 @@ theorem Iter.foldM_eq_foldM_toIterM {α β : Type w} [Iterator α Id β]
[Finite α Id] {m : Type w Type w''} [Monad m] [LawfulMonad m]
[IteratorLoop α Id m] [LawfulIteratorLoop α Id m]
{γ : Type w} {it : Iter (α := α) β} {init : γ} {f : γ β m γ} :
it.foldM (init := init) f = it.toIterM.foldM (init := init) f := by
simp [foldM_eq_forIn, IterM.foldM_eq_forIn, forIn_eq_forIn_toIterM]
it.foldM (init := init) f = it.toIterM.foldM (init := init) f :=
(rfl)
theorem Iter.forIn_yield_eq_foldM {α β : Type w} {γ : Type x} {δ : Type x} [Iterator α Id β]
[Finite α Id] {m : Type x Type x'} [Monad m] [LawfulMonad m] [IteratorLoop α Id m]
theorem Iter.forIn_yield_eq_foldM {α β γ δ : Type w} [Iterator α Id β]
[Finite α Id] {m : Type w Type w''} [Monad m] [LawfulMonad m] [IteratorLoop α Id m]
[LawfulIteratorLoop α Id m] {f : β γ m δ} {g : β γ δ γ} {init : γ}
{it : Iter (α := α) β} :
ForIn.forIn (m := m) it init (fun c b => (fun d => .yield (g c b d)) <$> f c b) =
it.foldM (m := m) (fun b c => g c b <$> f c b) init := by
ForIn.forIn it init (fun c b => (fun d => .yield (g c b d)) <$> f c b) =
it.foldM (fun b c => g c b <$> f c b) init := by
simp [Iter.foldM_eq_forIn]
theorem Iter.foldM_eq_match_step {α β : Type w} {γ : Type x} [Iterator α Id β] [Finite α Id]
{m : Type x Type x'} [Monad m] [LawfulMonad m] [IteratorLoop α Id m]
theorem Iter.foldM_eq_match_step {α β γ : Type w} [Iterator α Id β] [Finite α Id]
{m : Type w Type w'} [Monad m] [LawfulMonad m] [IteratorLoop α Id m]
[LawfulIteratorLoop α Id m] {f : γ β m γ} {init : γ} {it : Iter (α := α) β} :
it.foldM (init := init) f = (do
match it.step with
@@ -290,19 +289,20 @@ theorem Iter.foldM_eq_match_step {α β : Type w} {γ : Type x} [Iterator α Id
generalize it.step = step
cases step using PlausibleIterStep.casesOn <;> simp [foldM_eq_forIn]
theorem Iter.foldlM_toList {α β : Type w} {γ : Type x} [Iterator α Id β] [Finite α Id]
{m : Type x Type x'} [Monad m] [LawfulMonad m] [IteratorLoop α Id m]
[LawfulIteratorLoop α Id m] [IteratorCollect α Id Id] [LawfulIteratorCollect α Id Id]
{f : γ β m γ} {init : γ} {it : Iter (α := α) β} :
theorem Iter.foldlM_toList {α β γ : Type w} [Iterator α Id β] [Finite α Id] {m : Type w Type w'}
[Monad m] [LawfulMonad m] [IteratorLoop α Id m] [LawfulIteratorLoop α Id m]
[IteratorCollect α Id Id] [LawfulIteratorCollect α Id Id]
{f : γ β m γ}
{init : γ} {it : Iter (α := α) β} :
it.toList.foldlM (init := init) f = it.foldM (init := init) f := by
rw [Iter.foldM_eq_forIn, Iter.forIn_toList]
simp only [List.forIn_yield_eq_foldlM, id_map']
theorem IterM.forIn_eq_foldM {α β : Type w} [Iterator α Id β]
[Finite α Id] {m : Type x Type x'} [Monad m] [LawfulMonad m]
[Finite α Id] {m : Type w Type w''} [Monad m] [LawfulMonad m]
[IteratorLoop α Id m] [LawfulIteratorLoop α Id m]
[IteratorCollect α Id Id] [LawfulIteratorCollect α Id Id]
{γ : Type x} {it : Iter (α := α) β} {init : γ}
{γ : Type w} {it : Iter (α := α) β} {init : γ}
{f : β γ m (ForInStep γ)} :
forIn it init f = ForInStep.value <$>
it.foldM (fun c b => match c with
@@ -310,28 +310,31 @@ theorem IterM.forIn_eq_foldM {α β : Type w} [Iterator α Id β]
| .done c => pure (.done c)) (ForInStep.yield init) := by
simp only [ Iter.forIn_toList, List.forIn_eq_foldlM, Iter.foldlM_toList]; rfl
theorem Iter.fold_eq_forIn {α β : Type w} {γ : Type x} [Iterator α Id β]
theorem Iter.fold_eq_forIn {α β γ : Type w} [Iterator α Id β]
[Finite α Id] [IteratorLoop α Id Id] {f : γ β γ} {init : γ} {it : Iter (α := α) β} :
it.fold (init := init) f =
(ForIn.forIn (m := Id) it init (fun x acc => pure (ForInStep.yield (f acc x)))).run := by
rfl
theorem Iter.fold_eq_foldM {α β : Type w} {γ : Type x} [Iterator α Id β]
[Finite α Id] [IteratorLoop α Id Id] {f : γ β γ} {init : γ} {it : Iter (α := α) β} :
theorem Iter.fold_eq_foldM {α β γ : Type w} [Iterator α Id β]
[Finite α Id] [IteratorLoop α Id Id] {f : γ β γ} {init : γ}
{it : Iter (α := α) β} :
it.fold (init := init) f = (it.foldM (m := Id) (init := init) (pure <| f · ·)).run := by
simp [foldM_eq_forIn, fold_eq_forIn]
@[simp]
theorem Iter.forIn_pure_yield_eq_fold {α β : Type w} {γ : Type x} [Iterator α Id β]
[Finite α Id] [IteratorLoop α Id Id] [LawfulIteratorLoop α Id Id] {f : β γ γ} {init : γ}
theorem Iter.forIn_pure_yield_eq_fold {α β γ : Type w} [Iterator α Id β]
[Finite α Id] [IteratorLoop α Id Id]
[LawfulIteratorLoop α Id Id] {f : β γ γ} {init : γ}
{it : Iter (α := α) β} :
ForIn.forIn (m := Id) it init (fun c b => pure (.yield (f c b))) =
pure (it.fold (fun b c => f c b) init) := by
simp only [fold_eq_forIn]
rfl
theorem Iter.fold_eq_match_step {α β : Type w} {γ : Type x} [Iterator α Id β] [Finite α Id]
[IteratorLoop α Id Id] [LawfulIteratorLoop α Id Id] {f : γ β γ} {init : γ} {it : Iter (α := α) β} :
theorem Iter.fold_eq_match_step {α β γ : Type w} [Iterator α Id β] [Finite α Id]
[IteratorLoop α Id Id] [LawfulIteratorLoop α Id Id]
{f : γ β γ} {init : γ} {it : Iter (α := α) β} :
it.fold (init := init) f = (match it.step with
| .yield it' out _ => it'.fold (init := f init out) f
| .skip it' _ => it'.fold (init := init) f
@@ -342,7 +345,7 @@ theorem Iter.fold_eq_match_step {α β : Type w} {γ : Type x} [Iterator α Id
cases step using PlausibleIterStep.casesOn <;> simp
@[simp]
theorem Iter.foldl_toList {α β : Type w} {γ : Type x} [Iterator α Id β] [Finite α Id]
theorem Iter.foldl_toList {α β γ : Type w} [Iterator α Id β] [Finite α Id]
[IteratorLoop α Id Id] [LawfulIteratorLoop α Id Id]
[IteratorCollect α Id Id] [LawfulIteratorCollect α Id Id]
{f : γ β γ} {init : γ} {it : Iter (α := α) β} :

View File

@@ -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

View File

@@ -15,54 +15,84 @@ namespace Std.Iterators
theorem IterM.DefaultConsumers.forIn'_eq_match_step {α β : Type w} {m : Type w Type w'}
[Iterator α m β]
{n : Type x Type x'} [Monad n]
{lift : γ δ, (γ n δ) m γ n δ} {γ : Type x}
{n : Type w Type w''} [Monad n]
{lift : γ, m γ n γ} {γ : Type w}
{plausible_forInStep : β γ ForInStep γ Prop}
{wf : IteratorLoop.WellFounded α m plausible_forInStep}
{it : IterM (α := α) m β} {init : γ}
{P hP} {f : (b : β) P b (c : γ) n (Subtype (plausible_forInStep b c))} :
IterM.DefaultConsumers.forIn' lift γ plausible_forInStep wf it init P hP f =
(lift _ _ · it.step) (fun
| .yield it' out h => do
match f out (hP _ <| .direct _, h) init with
| .yield c, _ =>
IterM.DefaultConsumers.forIn' lift _ plausible_forInStep wf it' c P
(fun _ h' => hP _ <| .indirect _, rfl, h h') f
| .done c, _ => return c
| .skip it' h =>
IterM.DefaultConsumers.forIn' lift _ plausible_forInStep wf it' init P
(fun _ h' => hP _ <| .indirect _, rfl, h h') f
| .done _ => return init) := by
{P hP}
{f : (b : β) P b (c : γ) n (Subtype (plausible_forInStep b c))} :
IterM.DefaultConsumers.forIn' lift γ plausible_forInStep wf it init P hP f = (do
match lift _ it.step with
| .yield it' out h =>
match f out (hP _ <| .direct _, h) init with
| .yield c, _ =>
IterM.DefaultConsumers.forIn' lift _ plausible_forInStep wf it' c P
(fun _ h' => hP _ <| .indirect _, rfl, h h') f
| .done c, _ => return c
| .skip it' h =>
IterM.DefaultConsumers.forIn' lift _ plausible_forInStep wf it' init P
(fun _ h' => hP _ <| .indirect _, rfl, h h') f
| .done _ => return init) := by
rw [forIn']
congr; ext step
apply bind_congr
intro step
cases step using PlausibleIterStep.casesOn <;> rfl
theorem IterM.forIn'_eq {α β : Type w} {m : Type w Type w'} [Iterator α m β] [Finite α m]
{n : Type w Type w''} [Monad m] [Monad n] [LawfulMonad n] [IteratorLoop α m n]
[hl : LawfulIteratorLoop α m n]
[MonadLiftT m n] [LawfulMonadLiftT m n] {γ : Type w} {it : IterM (α := α) m β} {init : γ}
{n : Type w Type w''} [Monad n] [IteratorLoop α m n] [hl : LawfulIteratorLoop α m n]
[MonadLiftT m n] {γ : Type w} {it : IterM (α := α) m β} {init : γ}
{f : (b : β) it.IsPlausibleIndirectOutput b γ n (ForInStep γ)} :
letI : ForIn' n (IterM (α := α) m β) β _ := IterM.instForIn'
ForIn'.forIn' it init f = IterM.DefaultConsumers.forIn' (n := n)
(fun _ _ f x => monadLift x >>= f) γ (fun _ _ _ => True)
ForIn'.forIn' it init f = IterM.DefaultConsumers.forIn' (fun _ => monadLift) γ (fun _ _ _ => True)
IteratorLoop.wellFounded_of_finite it init _ (fun _ => id) ((·, .intro) <$> f · · ·) := by
simp [instForIn', ForIn'.forIn', IteratorLoop.finiteForIn',
hl.lawful (fun _ _ f x => monadLift x >>= f), IteratorLoop.defaultImplementation]
cases hl.lawful; rfl
theorem IterM.forIn_eq {α β : Type w} {m : Type w Type w'} [Iterator α m β] [Finite α m]
{n : Type w Type w''} [Monad m] [Monad n] [LawfulMonad n] [IteratorLoop α m n]
[hl : LawfulIteratorLoop α m n]
[MonadLiftT m n] [LawfulMonadLiftT m n] {γ : Type w} {it : IterM (α := α) m β} {init : γ}
{n : Type w Type w''} [Monad n] [IteratorLoop α m n] [hl : LawfulIteratorLoop α m n]
[MonadLiftT m n] {γ : Type w} {it : IterM (α := α) m β} {init : γ}
{f : β γ n (ForInStep γ)} :
ForIn.forIn it init f = IterM.DefaultConsumers.forIn' (n := n)
(fun _ _ f x => monadLift x >>= f) γ (fun _ _ _ => True)
ForIn.forIn it init f = IterM.DefaultConsumers.forIn' (fun _ => monadLift) γ (fun _ _ _ => True)
IteratorLoop.wellFounded_of_finite it init _ (fun _ => id) (fun out _ acc => (·, .intro) <$> f out acc) := by
simp only [ForIn.forIn, forIn'_eq]
cases hl.lawful; rfl
theorem IterM.DefaultConsumers.forIn'_eq_forIn' {m : Type w Type w'} {α : Type w} {β : Type w}
[Iterator α m β]
{n : Type w Type w''} [Monad n]
{lift : γ, m γ n γ} {γ : Type w}
{Pl : β γ ForInStep γ Prop}
{wf : IteratorLoop.WellFounded α m Pl}
{it : IterM (α := α) m β} {init : γ}
{P : β Prop} {hP : b, it.IsPlausibleIndirectOutput b P b}
{Q : β Prop} {hQ : b, it.IsPlausibleIndirectOutput b Q b}
{f : (b : β) P b (c : γ) n (Subtype (Pl b c))}
{g : (b : β) Q b (c : γ) n (Subtype (Pl b c))}
(hfg : b c, (hPb : P b) (hQb : Q b) f b hPb c = g b hQb c) :
IterM.DefaultConsumers.forIn' lift γ Pl wf it init P hP f =
IterM.DefaultConsumers.forIn' lift γ Pl wf it init Q hQ g := by
rw [forIn', forIn']
apply bind_congr
intro step
split
· congr
· apply hfg
· ext
split
· apply IterM.DefaultConsumers.forIn'_eq_forIn'
assumption
· rfl
· apply IterM.DefaultConsumers.forIn'_eq_forIn'
assumption
· rfl
termination_by IteratorLoop.WFRel.mk wf it init
decreasing_by
· exact Or.inl _, _, _
· exact Or.inr _, rfl
theorem IterM.forIn'_eq_match_step {α β : Type w} {m : Type w Type w'} [Iterator α m β]
[Finite α m] {n : Type w Type w''} [Monad m] [Monad n] [LawfulMonad n]
[Finite α m] {n : Type w Type w''} [Monad n] [LawfulMonad n]
[IteratorLoop α m n] [LawfulIteratorLoop α m n]
[MonadLiftT m n] [LawfulMonadLiftT m n] {γ : Type w} {it : IterM (α := α) m β} {init : γ}
[MonadLiftT m n] {γ : Type w} {it : IterM (α := α) m β} {init : γ}
{f : (out : β) _ γ n (ForInStep γ)} :
letI : ForIn' n (IterM (α := α) m β) β _ := IterM.instForIn'
ForIn'.forIn' it init f = (do
@@ -95,9 +125,9 @@ theorem IterM.forIn'_eq_match_step {α β : Type w} {m : Type w → Type w'} [It
· simp
theorem IterM.forIn_eq_match_step {α β : Type w} {m : Type w Type w'} [Iterator α m β]
[Finite α m] {n : Type w Type w''} [Monad m] [Monad n] [LawfulMonad n]
[Finite α m] {n : Type w Type w''} [Monad n] [LawfulMonad n]
[IteratorLoop α m n] [LawfulIteratorLoop α m n]
[MonadLiftT m n] [LawfulMonadLiftT m n] {γ : Type w} {it : IterM (α := α) m β} {init : γ}
[MonadLiftT m n] {γ : Type w} {it : IterM (α := α) m β} {init : γ}
{f : β γ n (ForInStep γ)} :
ForIn.forIn it init f = (do
match it.step with
@@ -108,10 +138,11 @@ theorem IterM.forIn_eq_match_step {α β : Type w} {m : Type w → Type w'} [Ite
| .skip it' _ => ForIn.forIn it' init f
| .done _ => return init) := by
simp only [forIn]
exact forIn'_eq_match_step
rw [forIn'_eq_match_step]
rfl
theorem IterM.forM_eq_forIn {α β : Type w} {m : Type w Type w'} [Iterator α m β]
[Finite α m] {n : Type w Type w''} [Monad m] [Monad n] [LawfulMonad n]
[Finite α m] {n : Type w Type w''} [Monad n] [LawfulMonad n]
[IteratorLoop α m n] [LawfulIteratorLoop α m n]
[MonadLiftT m n] {it : IterM (α := α) m β}
{f : β n PUnit} :
@@ -119,9 +150,9 @@ theorem IterM.forM_eq_forIn {α β : Type w} {m : Type w → Type w'} [Iterator
rfl
theorem IterM.forM_eq_match_step {α β : Type w} {m : Type w Type w'} [Iterator α m β]
[Finite α m] {n : Type w Type w''} [Monad m] [Monad n] [LawfulMonad n]
[Finite α m] {n : Type w Type w''} [Monad n] [LawfulMonad n]
[IteratorLoop α m n] [LawfulIteratorLoop α m n]
[MonadLiftT m n] [LawfulMonadLiftT m n] {it : IterM (α := α) m β}
[MonadLiftT m n] {it : IterM (α := α) m β}
{f : β n PUnit} :
ForM.forM it f = (do
match it.step with
@@ -142,7 +173,7 @@ theorem IterM.foldM_eq_forIn {α β γ : Type w} {m : Type w → Type w'} [Itera
(rfl)
theorem IterM.forIn_yield_eq_foldM {α β γ δ : Type w} {m : Type w Type w'} [Iterator α m β]
[Finite α m] {n : Type w Type w''} [Monad m] [Monad n] [LawfulMonad n] [IteratorLoop α m n]
[Finite α m] {n : Type w Type w''} [Monad n] [LawfulMonad n] [IteratorLoop α m n]
[LawfulIteratorLoop α m n] [MonadLiftT m n] {f : β γ n δ} {g : β γ δ γ} {init : γ}
{it : IterM (α := α) m β} :
ForIn.forIn it init (fun c b => (fun d => .yield (g c b d)) <$> f c b) =
@@ -150,9 +181,8 @@ theorem IterM.forIn_yield_eq_foldM {α β γ δ : Type w} {m : Type w → Type w
simp [IterM.foldM_eq_forIn]
theorem IterM.foldM_eq_match_step {α β γ : Type w} {m : Type w Type w'} [Iterator α m β] [Finite α m]
{n : Type w Type w''} [Monad m] [Monad n] [LawfulMonad n] [IteratorLoop α m n]
[LawfulIteratorLoop α m n] [MonadLiftT m n] [LawfulMonadLiftT m n]
{f : γ β n γ} {init : γ} {it : IterM (α := α) m β} :
{n : Type w Type w''} [Monad n] [LawfulMonad n] [IteratorLoop α m n] [LawfulIteratorLoop α m n]
[MonadLiftT m n] {f : γ β n γ} {init : γ} {it : IterM (α := α) m β} :
it.foldM (init := init) f = (do
match it.step with
| .yield it' out _ => it'.foldM (init := f init out) f
@@ -208,7 +238,7 @@ theorem IterM.toList_eq_fold {α β : Type w} {m : Type w → Type w'} [Iterator
it.fold (init := l') (fun l out => l ++ [out]) by
specialize h []
simpa using h
induction it using IterM.inductSteps with | step it ihy ihs
induction it using IterM.inductSteps with | step it ihy ihs =>
intro l'
rw [IterM.toList_eq_match_step, IterM.fold_eq_match_step]
simp only [map_eq_pure_bind, bind_assoc]
@@ -253,7 +283,7 @@ theorem IterM.drain_eq_map_toList {α β : Type w} {m : Type w → Type w'} [Ite
[IteratorCollect α m m] [LawfulIteratorCollect α m m]
{it : IterM (α := α) m β} :
it.drain = (fun _ => .unit) <$> 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

View File

@@ -6,8 +6,7 @@ Authors: Paul Reichert
module
prelude
public import Init.Data.Iterators.Consumers.Collect
public import Init.Data.Iterators.Consumers.Loop
public import Init.Data.Iterators.Consumers
public section

View File

@@ -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 -/

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@@ -130,7 +130,7 @@ Safer alternatives include:
* `List.head?`, which returns an `Option`, and
* `List.headD`, which returns an explicitly-provided fallback value on empty lists.
-/
@[expose] def head! [Inhabited α] : List α α
def head! [Inhabited α] : List α α
| [] => panic! "empty list"
| a::_ => a
@@ -362,13 +362,12 @@ theorem not_lex_antisymm [DecidableEq α] {r : αα → Prop} [DecidableRel
· exact h₁ (Lex.rel hba)
· exact eq (antisymm _ _ hab hba)
protected theorem le_antisymm [LT α]
protected theorem le_antisymm [DecidableEq α] [LT α] [DecidableLT α]
[i : Std.Antisymm (¬ · < · : α α Prop)]
{as bs : List α} (h₁ : as bs) (h₂ : bs as) : as = bs :=
open Classical in
not_lex_antisymm i.antisymm h₁ h₂
instance [LT α]
instance [DecidableEq α] [LT α] [DecidableLT α]
[s : Std.Antisymm (¬ · < · : α α Prop)] :
Std.Antisymm (· · : List α List α Prop) where
antisymm _ _ h₁ h₂ := List.le_antisymm h₁ h₂

View File

@@ -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)

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@@ -104,6 +104,7 @@ theorem countP_replicate {p : α → Bool} {a : α} {n : Nat} :
simp only [countP_eq_length_filter, filter_replicate]
split <;> simp
@[grind]
theorem boole_getElem_le_countP {p : α Bool} {l : List α} {i : Nat} (h : i < l.length) :
(if p l[i] then 1 else 0) l.countP p := by
induction l generalizing i with
@@ -117,8 +118,6 @@ theorem boole_getElem_le_countP {p : α → Bool} {l : List α} {i : Nat} (h : i
specialize ih h
exact le_add_right_of_le ih
grind_pattern boole_getElem_le_countP => l.countP p, l[i]
theorem Sublist.countP_le (s : l₁ <+ l₂) : countP p l₁ countP p l₂ := by
simp only [countP_eq_length_filter]
apply s.filter _ |>.length_le
@@ -143,11 +142,10 @@ grind_pattern IsInfix.countP_le => l₁ <:+: l₂, countP p l₂
-- See `Init.Data.List.Nat.Count` for `Sublist.le_countP : countP p l₂ - (l₂.length - l₁.length) ≤ countP p l₁`.
@[grind]
theorem countP_tail_le (l) : countP p l.tail countP p l :=
(tail_sublist l).countP_le
grind_pattern countP_tail_le => countP p l.tail
-- See `Init.Data.List.Nat.Count` for `le_countP_tail : countP p l - 1 ≤ countP p l.tail`.
theorem countP_filter {l : List α} :
@@ -290,13 +288,12 @@ theorem count_flatten {a : α} {l : List (List α)} : count a l.flatten = (l.map
@[simp, grind =] theorem count_reverse {a : α} {l : List α} : count a l.reverse = count a l := by
simp only [count_eq_countP, countP_eq_length_filter, filter_reverse, length_reverse]
@[grind]
theorem boole_getElem_le_count {a : α} {l : List α} {i : Nat} (h : i < l.length) :
(if l[i] == a then 1 else 0) l.count a := by
rw [count_eq_countP]
apply boole_getElem_le_countP (p := (· == a))
grind_pattern boole_getElem_le_count => l.count a, l[i]
variable [LawfulBEq α]
@[simp] theorem count_cons_self {a : α} {l : List α} : count a (a :: l) = count a l + 1 := by

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@@ -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

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@@ -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
@@ -57,7 +57,7 @@ theorem finRange_reverse {n} : (finRange n).reverse = (finRange n).map Fin.rev :
conv => rhs; rw [finRange_succ]
rw [reverse_append, reverse_cons, reverse_nil, nil_append, singleton_append, map_reverse,
map_cons, ih, map_map, map_map]
congr 2; funext
congr; funext
simp [Fin.rev_succ]
end List

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@@ -523,7 +523,7 @@ private theorem findIdx?_go_eq {p : α → Bool} {xs : List α} {i : Nat} :
split
· simp_all
· simp_all only [findIdx?_go_succ, Bool.not_eq_true, Option.map_map, Nat.zero_add]
congr 1
congr
ext
simp only [Nat.add_comm i, Function.comp_apply, Nat.add_assoc]
@@ -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} :

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@@ -367,7 +367,7 @@ def modifyTR (l : List α) (i : Nat) (f : αα) : List α := go l i #[] whe
| a :: l, 0, acc => acc.toListAppend (f a :: l)
| a :: l, i+1, acc => go l i (acc.push a)
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 -/

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@@ -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
@@ -2332,7 +2331,7 @@ theorem filterMap_replicate_of_some {f : α → Option β} (h : f a = some b) :
induction n with
| zero => simp
| succ n ih =>
simp only [replicate_succ, flatten_cons, ih, replicate_append_replicate,
simp only [replicate_succ, flatten_cons, ih, replicate_append_replicate,
add_one_mul, Nat.add_comm]
theorem flatMap_replicate {β} {f : α List β} : (replicate n a).flatMap f = (replicate n (f a)).flatten := by
@@ -2654,6 +2653,8 @@ theorem foldl_map_hom {g : α → β} {f : ααα} {f' : β → β →
· simp
· simp [*]
@[deprecated foldl_map_hom (since := "2025-01-20")] abbrev foldl_map' := @foldl_map_hom
theorem foldr_map_hom {g : α β} {f : α α α} {f' : β β β} {a : α} {l : List α}
(h : x y, f' (g x) (g y) = g (f x y)) :
(l.map g).foldr f' (g a) = g (l.foldr f a) := by
@@ -2661,6 +2662,8 @@ theorem foldr_map_hom {g : α → β} {f : ααα} {f' : β → β →
· simp
· simp [*]
@[deprecated foldr_map_hom (since := "2025-01-20")] abbrev foldr_map' := @foldr_map_hom
@[simp] theorem foldrM_append [Monad m] [LawfulMonad m] {f : α β m β} {b : β} {l l' : List α} :
(l ++ l').foldrM f b = l'.foldrM f b >>= l.foldrM f := by
induction l <;> simp [*]
@@ -3474,15 +3477,13 @@ theorem length_le_length_insert {l : List α} {a : α} : l.length ≤ (l.insert
grind_pattern List.length_le_length_insert => (l.insert a).length
theorem length_insert_pos {l : List α} {a : α} : 0 < (l.insert a).length := by
@[grind] theorem length_insert_pos {l : List α} {a : α} : 0 < (l.insert a).length := by
by_cases h : a l
· rw [length_insert_of_mem h]
exact length_pos_of_mem h
· rw [length_insert_of_not_mem h]
exact Nat.zero_lt_succ _
grind_pattern length_insert_pos => (l.insert a).length
theorem insert_eq {l : List α} {a : α} : l.insert a = if a l then l else a :: l := by
simp [List.insert]
@@ -3728,6 +3729,12 @@ 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

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@@ -22,9 +22,9 @@ namespace List
@[simp] theorem not_lex_lt [LT α] {l₁ l₂ : List α} : ¬ Lex (· < ·) l₁ l₂ l₂ l₁ := Iff.rfl
protected theorem not_lt_iff_ge [LT α] {l₁ l₂ : List α} : ¬ l₁ < l₂ l₂ l₁ := Iff.rfl
protected theorem not_le_iff_gt [LT α] {l₁ l₂ : List α} :
protected theorem not_le_iff_gt [DecidableEq α] [LT α] [DecidableLT α] {l₁ l₂ : List α} :
¬ l₁ l₂ l₂ < l₁ :=
Classical.not_not
Decidable.not_not
theorem lex_irrefl {r : α α Prop} (irrefl : x, ¬r x x) (l : List α) : ¬Lex r l l := by
induction l with
@@ -78,14 +78,13 @@ theorem not_cons_lex_cons_iff [DecidableEq α] [DecidableRel r] {a b} {l₁ l₂
¬ Lex r (a :: l₁) (b :: l₂) (¬ r a b a b) (¬ r a b ¬ Lex r l₁ l₂) := by
rw [cons_lex_cons_iff, not_or, Decidable.not_and_iff_or_not, and_or_left]
theorem cons_le_cons_iff [LT α]
theorem cons_le_cons_iff [DecidableEq α] [LT α] [DecidableLT α]
[i₀ : Std.Irrefl (· < · : α α Prop)]
[i₁ : Std.Asymm (· < · : α α Prop)]
[i₂ : Std.Antisymm (¬ · < · : α α Prop)]
{a b} {l₁ l₂ : List α} :
(a :: l₁) (b :: l₂) a < b a = b l₁ l₂ := by
dsimp only [instLE, instLT, List.le, List.lt]
open Classical in
simp only [not_cons_lex_cons_iff, ne_eq]
constructor
· rintro (h₁, h₂ | h₁, h₂)
@@ -105,7 +104,7 @@ theorem cons_le_cons_iff [LT α]
· right
exact fun w => i₀.irrefl _ (h₁ w), h₂
theorem not_lt_of_cons_le_cons [LT α]
theorem not_lt_of_cons_le_cons [DecidableEq α] [LT α] [DecidableLT α]
[i₀ : Std.Irrefl (· < · : α α Prop)]
[i₁ : Std.Asymm (· < · : α α Prop)]
[i₂ : Std.Antisymm (¬ · < · : α α Prop)]
@@ -115,7 +114,7 @@ theorem not_lt_of_cons_le_cons [LT α]
· exact i₁.asymm _ _ h
· exact i₀.irrefl _
theorem le_of_cons_le_cons [LT α]
theorem le_of_cons_le_cons [DecidableEq α] [LT α] [DecidableLT α]
[i₀ : Std.Irrefl (· < · : α α Prop)]
[i₁ : Std.Asymm (· < · : α α Prop)]
[i₂ : Std.Antisymm (¬ · < · : α α Prop)]
@@ -163,9 +162,10 @@ instance [LT α] [Trans (· < · : αα → Prop) (· < ·) (· < ·)] :
Trans (· < · : List α List α Prop) (· < ·) (· < ·) where
trans h₁ h₂ := List.lt_trans h₁ h₂
@[deprecated List.le_antisymm (since := "2024-12-13")]
protected abbrev lt_antisymm := @List.le_antisymm
protected theorem lt_of_le_of_lt [LT α]
protected theorem lt_of_le_of_lt [DecidableEq α] [LT α] [DecidableLT α]
[i₀ : Std.Irrefl (· < · : α α Prop)]
[i₁ : Std.Asymm (· < · : α α Prop)]
[i₂ : Std.Antisymm (¬ · < · : α α Prop)]
@@ -180,7 +180,7 @@ protected theorem lt_of_le_of_lt [LT α]
| cons c l₁ =>
apply Lex.rel
replace h₁ := not_lt_of_cons_le_cons h₁
apply Classical.byContradiction
apply Decidable.byContradiction
intro h₂
have := i₃.trans h₁ h₂
contradiction
@@ -193,9 +193,9 @@ protected theorem lt_of_le_of_lt [LT α]
by_cases w₅ : a = c
· subst w₅
exact Lex.cons (ih (le_of_cons_le_cons h₁))
· exact Lex.rel (Classical.byContradiction fun w₆ => w₅ (i₂.antisymm _ _ w₄ w₆))
· exact Lex.rel (Decidable.byContradiction fun w₆ => w₅ (i₂.antisymm _ _ w₄ w₆))
protected theorem le_trans [LT α]
protected theorem le_trans [DecidableEq α] [LT α] [DecidableLT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
@@ -203,7 +203,7 @@ protected theorem le_trans [LT α]
{l₁ l₂ l₃ : List α} (h₁ : l₁ l₂) (h₂ : l₂ l₃) : l₁ l₃ :=
fun h₃ => h₁ (List.lt_of_le_of_lt h₂ h₃)
instance [LT α]
instance [DecidableEq α] [LT α] [DecidableLT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
@@ -231,9 +231,9 @@ instance [LT α] [Std.Asymm (· < · : αα → Prop)] :
Std.Asymm (· < · : List α List α Prop) where
asymm _ _ := List.lt_asymm
theorem not_lex_total {r : α α Prop}
theorem not_lex_total [DecidableEq α] {r : α α Prop} [DecidableRel r]
(h : x y : α, ¬ r x y ¬ r y x) (l₁ l₂ : List α) : ¬ Lex r l₁ l₂ ¬ Lex r l₂ l₁ := by
rw [Classical.or_iff_not_imp_left, Classical.not_not]
rw [Decidable.or_iff_not_imp_left, Decidable.not_not]
intro w₁ w₂
match l₁, l₂, w₁, w₂ with
| nil, _ :: _, .nil, w₂ => simp at w₂
@@ -246,11 +246,11 @@ theorem not_lex_total {r : αα → Prop}
| _ :: l₁, _ :: l₂, .cons _, .cons _ =>
obtain (_ | _) := not_lex_total h l₁ l₂ <;> contradiction
protected theorem le_total [LT α]
protected theorem le_total [DecidableEq α] [LT α] [DecidableLT α]
[i : Std.Total (¬ · < · : α α Prop)] (l₁ l₂ : List α) : l₁ l₂ l₂ l₁ :=
not_lex_total i.total l₂ l₁
instance [LT α]
instance [DecidableEq α] [LT α] [DecidableLT α]
[Std.Total (¬ · < · : α α Prop)] :
Std.Total (· · : List α List α Prop) where
total := List.le_total
@@ -258,10 +258,10 @@ instance [LT α]
@[simp] protected theorem not_lt [LT α]
{l₁ l₂ : List α} : ¬ l₁ < l₂ l₂ l₁ := Iff.rfl
@[simp] protected theorem not_le [LT α]
{l₁ l₂ : List α} : ¬ l₂ l₁ l₁ < l₂ := Classical.not_not
@[simp] protected theorem not_le [DecidableEq α] [LT α] [DecidableLT α]
{l₁ l₂ : List α} : ¬ l₂ l₁ l₁ < l₂ := Decidable.not_not
protected theorem le_of_lt [LT α]
protected theorem le_of_lt [DecidableEq α] [LT α] [DecidableLT α]
[i : Std.Total (¬ · < · : α α Prop)]
{l₁ l₂ : List α} (h : l₁ < l₂) : l₁ l₂ := by
obtain (h' | h') := List.le_total l₁ l₂
@@ -269,7 +269,7 @@ protected theorem le_of_lt [LT α]
· exfalso
exact h' h
protected theorem le_iff_lt_or_eq [LT α]
protected theorem le_iff_lt_or_eq [DecidableEq α] [LT α] [DecidableLT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
[Std.Total (¬ · < · : α α Prop)]
@@ -280,7 +280,7 @@ protected theorem le_iff_lt_or_eq [LT α]
· right
apply List.le_antisymm h h'
· left
exact Classical.not_not.mp h'
exact Decidable.not_not.mp h'
· rintro (h | rfl)
· exact List.le_of_lt h
· exact List.le_refl l₁
@@ -445,17 +445,16 @@ theorem lex_eq_false_iff_exists [BEq α] [PartialEquivBEq α] (lt : αα
simpa using w₁ (j + 1) (by simpa)
· simpa using w₂
protected theorem lt_iff_exists [LT α] {l₁ l₂ : List α} :
protected theorem lt_iff_exists [DecidableEq α] [LT α] [DecidableLT α] {l₁ l₂ : List α} :
l₁ < l₂
(l₁ = l₂.take l₁.length l₁.length < l₂.length)
( (i : Nat) (h₁ : i < l₁.length) (h₂ : i < l₂.length),
( j, (hj : j < i)
l₁[j]'(Nat.lt_trans hj h₁) = l₂[j]'(Nat.lt_trans hj h₂)) l₁[i] < l₂[i]) := by
open Classical in
rw [ lex_eq_true_iff_lt, lex_eq_true_iff_exists]
simp
protected theorem le_iff_exists [LT α]
protected theorem le_iff_exists [DecidableEq α] [LT α] [DecidableLT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)] {l₁ l₂ : List α} :
@@ -464,7 +463,6 @@ protected theorem le_iff_exists [LT α]
( (i : Nat) (h₁ : i < l₁.length) (h₂ : i < l₂.length),
( j, (hj : j < i)
l₁[j]'(Nat.lt_trans hj h₁) = l₂[j]'(Nat.lt_trans hj h₂)) l₁[i] < l₂[i]) := by
open Classical in
rw [ lex_eq_false_iff_ge, lex_eq_false_iff_exists]
· simp only [isEqv_eq, beq_iff_eq, decide_eq_true_eq]
simp only [eq_comm]
@@ -479,7 +477,7 @@ theorem append_left_lt [LT α] {l₁ l₂ l₃ : List α} (h : l₂ < l₃) :
| nil => simp [h]
| cons a l₁ ih => simp [cons_lt_cons_iff, ih]
theorem append_left_le [LT α]
theorem append_left_le [DecidableEq α] [LT α] [DecidableLT α]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]
@@ -513,7 +511,7 @@ protected theorem map_lt [LT α] [LT β]
| cons a l₁, cons b l₂, .rel h =>
simp [cons_lt_cons_iff, w, h]
protected theorem map_le [LT α] [LT β]
protected theorem map_le [DecidableEq α] [LT α] [DecidableLT α] [DecidableEq β] [LT β] [DecidableLT β]
[Std.Irrefl (· < · : α α Prop)]
[Std.Asymm (· < · : α α Prop)]
[Std.Antisymm (¬ · < · : α α Prop)]

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@@ -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} :

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@@ -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} :

View File

@@ -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

View File

@@ -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

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@@ -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'

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@@ -213,7 +213,7 @@ theorem pairwise_append_comm {R : αα → 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

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@@ -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

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@@ -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

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@@ -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)

View File

@@ -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]

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@@ -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)

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@@ -42,7 +42,7 @@ theorem zipWith_self {f : αα → 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 :

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@@ -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

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@@ -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

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@@ -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

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