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2 Commits

Author SHA1 Message Date
Leonardo de Moura
984d48fdd4 chore: fix tests 2025-05-27 12:00:58 -07:00
Leonardo de Moura
b74d7fe0d4 chore: notation for HEq 2025-05-27 09:42:38 -07:00
3354 changed files with 15878 additions and 87510 deletions

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@@ -1,38 +0,0 @@
name: Check awaiting-manual label
on:
merge_group:
pull_request:
types: [opened, synchronize, reopened, labeled, unlabeled]
jobs:
check-awaiting-manual:
runs-on: ubuntu-latest
steps:
- name: Check awaiting-manual label
id: check-awaiting-manual-label
if: github.event_name == 'pull_request'
uses: actions/github-script@v7
with:
script: |
const { labels, number: prNumber } = context.payload.pull_request;
const hasAwaiting = labels.some(label => label.name == "awaiting-manual");
const hasBreaks = labels.some(label => label.name == "breaks-manual");
const hasBuilds = labels.some(label => label.name == "builds-manual");
if (hasAwaiting && hasBreaks) {
core.setFailed('PR has both "awaiting-manual" and "breaks-manual" labels.');
} else if (hasAwaiting && !hasBreaks && !hasBuilds) {
core.info('PR is marked "awaiting-manual" but neither "breaks-manual" nor "builds-manual" labels are present.');
core.setOutput('awaiting', 'true');
}
- name: Wait for manual compatibility
if: github.event_name == 'pull_request' && steps.check-awaiting-manual-label.outputs.awaiting == 'true'
run: |
echo "::notice title=Awaiting manual::PR is marked 'awaiting-manual' but neither 'breaks-manual' nor 'builds-manual' labels are present."
echo "This check will remain in progress until the PR is updated with appropriate manual compatibility labels."
# Keep the job running indefinitely to show "in progress" status
while true; do
sleep 3600 # Sleep for 1 hour at a time
done

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@@ -82,7 +82,7 @@ jobs:
- name: CI Merge Checkout
run: |
git fetch --depth=1 origin ${{ github.sha }}
git checkout FETCH_HEAD flake.nix flake.lock script/prepare-* tests/lean/run/importStructure.lean
git checkout FETCH_HEAD flake.nix flake.lock script/prepare-*
if: github.event_name == 'pull_request'
# (needs to be after "Checkout" so files don't get overridden)
- name: Setup emsdk
@@ -104,13 +104,12 @@ jobs:
# NOTE: must be in sync with `save` below
path: |
.ccache
${{ matrix.name == 'Linux Lake' && false && 'build/stage1/**/*.trace
build/stage1/**/*.olean*
${{ matrix.name == 'Linux Lake' && 'build/stage1/**/*.trace
build/stage1/**/*.olean
build/stage1/**/*.ilean
build/stage1/**/*.ir
build/stage1/**/*.c
build/stage1/**/*.c.o*' || '' }}
key: ${{ matrix.name }}-build-v3-${{ github.sha }}
key: ${{ matrix.name }}-build-v3-${{ github.event.pull_request.head.sha }}
# fall back to (latest) previous cache
restore-keys: |
${{ matrix.name }}-build-v3
@@ -128,12 +127,9 @@ jobs:
[ -d build ] || mkdir build
cd build
# arguments passed to `cmake`
OPTIONS=(-DLEAN_EXTRA_MAKE_OPTS=-DwarningAsError=true)
if [[ -n '${{ matrix.release }}' ]]; then
# this also enables githash embedding into stage 1 library, which prohibits reusing
# `.olean`s across commits, so we don't do it in the fast non-release CI
OPTIONS+=(-DCHECK_OLEAN_VERSION=ON)
fi
# this also enables githash embedding into stage 1 library
OPTIONS=(-DCHECK_OLEAN_VERSION=ON)
OPTIONS+=(-DLEAN_EXTRA_MAKE_OPTS=-DwarningAsError=true)
if [[ -n '${{ matrix.cross_target }}' ]]; then
# used by `prepare-llvm`
export EXTRA_FLAGS=--target=${{ matrix.cross_target }}
@@ -197,7 +193,7 @@ jobs:
run: |
ulimit -c unlimited # coredumps
time ctest --preset ${{ matrix.CMAKE_PRESET || 'release' }} --test-dir build/stage1 -j$NPROC --output-junit test-results.xml ${{ matrix.CTEST_OPTIONS }}
if: (matrix.wasm || !matrix.cross) && (inputs.check-level >= 1 || matrix.test)
if: (matrix.wasm || !matrix.cross) && (inputs.check-level >= 1 || matrix.name == 'Linux release')
- name: Test Summary
uses: test-summary/action@v2
with:
@@ -214,7 +210,7 @@ jobs:
- name: Check Stage 3
run: |
make -C build -j$NPROC check-stage3
if: matrix.check-stage3
if: matrix.test-speedcenter
- name: Test Speedcenter Benchmarks
run: |
# Necessary for some timing metrics but does not work on Namespace runners
@@ -228,7 +224,7 @@ jobs:
run: |
# 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
if: matrix.name == 'Linux' && inputs.check-level >= 1
- name: CCache stats
if: always()
run: ccache -s
@@ -246,10 +242,9 @@ jobs:
# NOTE: must be in sync with `restore` above
path: |
.ccache
${{ matrix.name == 'Linux Lake' && false && 'build/stage1/**/*.trace
build/stage1/**/*.olean*
${{ matrix.name == 'Linux Lake' && 'build/stage1/**/*.trace
build/stage1/**/*.olean
build/stage1/**/*.ilean
build/stage1/**/*.ir
build/stage1/**/*.c
build/stage1/**/*.c.o*' || '' }}
key: ${{ steps.restore-cache.outputs.cache-primary-key }}

View File

@@ -145,7 +145,6 @@ jobs:
// use large runners where available (original repo)
let large = ${{ github.repository == 'leanprover/lean4' }};
const isPr = "${{ github.event_name }}" == "pull_request";
const isPushToMaster = "${{ github.event_name }}" == "push" && "${{ github.ref_name }}" == "master";
let matrix = [
/* TODO: to be updated to new LLVM
{
@@ -165,17 +164,9 @@ jobs:
{
// portable release build: use channel with older glibc (2.26)
"name": "Linux release",
"os": large && level < 2 ? "nscloud-ubuntu-22.04-amd64-4x16" : "ubuntu-latest",
"os": large ? "nscloud-ubuntu-22.04-amd64-4x8" : "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)
// 2. To skip it in merge queues as it takes longer than the
// Linux lake build and adds little value in the merge queue
// 3. To run it in release (obviously)
// 4. To run it for pushes to master so that pushes to master have a Linux toolchain
// available as an artifact for Grove to use.
"check-level": (isPr || isPushToMaster) ? 0 : 2,
"secondary": isPr,
"check-level": 0,
"shell": "nix develop .#oldGlibc -c bash -euxo pipefail {0}",
"llvm-url": "https://github.com/leanprover/lean-llvm/releases/download/19.1.2/lean-llvm-x86_64-linux-gnu.tar.zst",
"prepare-llvm": "../script/prepare-llvm-linux.sh lean-llvm*",
@@ -185,14 +176,21 @@ jobs:
},
{
"name": "Linux Lake",
"os": large ? "nscloud-ubuntu-22.04-amd64-8x16" : "ubuntu-latest",
"os": large ? "nscloud-ubuntu-22.04-amd64-4x8" : "ubuntu-latest",
"check-level": 0,
"test": true,
"check-rebootstrap": level >= 1,
"check-stage3": level >= 2,
// NOTE: `test-speedcenter` currently seems to be broken on `ubuntu-latest`
"test-speedcenter": large && level >= 2,
// just a secondary build job for now until false positives can be excluded
"secondary": true,
"CMAKE_OPTIONS": "-DUSE_LAKE=ON",
// TODO: importStructure is not compatible with .olean caching
// TODO: why does scopedMacros fail?
"CTEST_OPTIONS": "-E 'scopedMacros|importStructure'"
},
{
"name": "Linux",
"os": large ? "nscloud-ubuntu-22.04-amd64-4x8" : "ubuntu-latest",
"check-stage3": level >= 2,
"test-speedcenter": level >= 2,
"check-level": 1,
},
{
"name": "Linux Reldebug",
@@ -225,8 +223,7 @@ jobs:
},
{
"name": "macOS aarch64",
// standard GH runner only comes with 7GB so use large runner if possible
"os": large ? "nscloud-macos-sonoma-arm64-6x14" : "macos-14",
"os": "macos-14",
"CMAKE_OPTIONS": "-DLEAN_INSTALL_SUFFIX=-darwin_aarch64",
"release": true,
"shell": "bash -euxo pipefail {0}",
@@ -234,7 +231,11 @@ jobs:
"prepare-llvm": "../script/prepare-llvm-macos.sh lean-llvm*",
"binary-check": "otool -L",
"tar": "gtar", // https://github.com/actions/runner-images/issues/2619
// See above for release job levels
// Special handling for MacOS aarch64, we want:
// 1. To run it in PRs so Mac devs get PR toolchains (so secondary is sufficient)
// 2. To skip it in merge queues as it takes longer than the Linux build and adds
// little value in the merge queue
// 3. To run it in release (obviously)
"check-level": isPr ? 0 : 2,
"secondary": isPr,
},
@@ -253,7 +254,7 @@ jobs:
},
{
"name": "Linux aarch64",
"os": "nscloud-ubuntu-22.04-arm64-4x16",
"os": "nscloud-ubuntu-22.04-arm64-4x8",
"CMAKE_OPTIONS": "-DLEAN_INSTALL_SUFFIX=-linux_aarch64",
"release": true,
"check-level": 2,
@@ -363,7 +364,7 @@ jobs:
with:
path: artifacts
- name: Release
uses: softprops/action-gh-release@da05d552573ad5aba039eaac05058a918a7bf631
uses: softprops/action-gh-release@v2
with:
files: artifacts/*/*
fail_on_unmatched_files: true
@@ -407,7 +408,7 @@ 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@da05d552573ad5aba039eaac05058a918a7bf631
uses: softprops/action-gh-release@v2
with:
body_path: diff.md
prerelease: true
@@ -424,6 +425,6 @@ jobs:
GITHUB_TOKEN: ${{ secrets.RELEASE_INDEX_TOKEN }}
- name: Update toolchain on mathlib4's nightly-testing branch
run: |
gh workflow -R leanprover-community/mathlib4-nightly-testing run nightly_bump_toolchain.yml
gh workflow -R leanprover-community/mathlib4 run nightly_bump_toolchain.yml
env:
GITHUB_TOKEN: ${{ secrets.MATHLIB4_BOT }}

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@@ -1,161 +0,0 @@
name: Grove
on:
workflow_run: # https://docs.github.com/en/actions/using-workflows/events-that-trigger-workflows#workflow_run
workflows: [CI]
types: [completed]
permissions:
pull-requests: write
jobs:
grove-build:
runs-on: ubuntu-latest
if: github.event.workflow_run.conclusion == 'success' && github.repository == 'leanprover/lean4'
steps:
- name: Retrieve information about the original workflow
uses: potiuk/get-workflow-origin@v1_1 # https://github.com/marketplace/actions/get-workflow-origin
# This action is deprecated and archived, but it seems hard to find a
# better solution for getting the PR number
# see https://github.com/orgs/community/discussions/25220 for some discussion
id: workflow-info
with:
token: ${{ secrets.GITHUB_TOKEN }}
sourceRunId: ${{ github.event.workflow_run.id }}
- name: Check if should run
id: should-run
run: |
# Check if it's a push to master (no PR number and target branch is master)
if [ -z "${{ steps.workflow-info.outputs.pullRequestNumber }}" ]; then
if [ "${{ github.event.workflow_run.head_branch }}" = "master" ]; then
echo "Push to master detected. Skipping for now, to be enabled later."
echo "should-run=false" >> "$GITHUB_OUTPUT"
else
echo "Push to non-master branch, skipping"
echo "should-run=false" >> "$GITHUB_OUTPUT"
fi
else
# Check if it's a PR with grove label
PR_LABELS='${{ steps.workflow-info.outputs.pullRequestLabels }}'
if echo "$PR_LABELS" | grep -q '"grove"'; then
echo "PR with grove label detected"
echo "should-run=true" >> "$GITHUB_OUTPUT"
else
echo "PR without grove label, skipping"
echo "should-run=false" >> "$GITHUB_OUTPUT"
fi
fi
- name: Fetch upstream invalidated facts
if: ${{ steps.should-run.outputs.should-run == 'true' && steps.workflow-info.outputs.pullRequestNumber != '' }}
id: fetch-upstream
uses: TwoFx/grove-action/fetch-upstream@v0.3
with:
artifact-name: grove-invalidated-facts
base-ref: master
- name: Download toolchain for this commit
if: ${{ steps.should-run.outputs.should-run == 'true' }}
id: download-toolchain
uses: dawidd6/action-download-artifact@v11
with:
commit: ${{ steps.workflow-info.outputs.sourceHeadSha }}
workflow: ci.yml
path: artifacts
name: build-Linux.*
name_is_regexp: true
- name: Unpack toolchain
if: ${{ steps.should-run.outputs.should-run == 'true' }}
id: unpack-toolchain
run: |
cd artifacts
# Find the tar.zst file
TAR_FILE=$(find . -name "lean-*.tar.zst" -type f | head -1)
if [ -z "$TAR_FILE" ]; then
echo "Error: No lean-*.tar.zst file found"
exit 1
fi
echo "Found archive: $TAR_FILE"
# Extract the archive
tar --zstd -xf "$TAR_FILE"
# Find the extracted directory name
LEAN_DIR=$(find . -maxdepth 1 -name "lean-*" -type d | head -1)
if [ -z "$LEAN_DIR" ]; then
echo "Error: No lean-* directory found after extraction"
exit 1
fi
echo "Extracted directory: $LEAN_DIR"
echo "lean-dir=$LEAN_DIR" >> "$GITHUB_OUTPUT"
- name: Build
if: ${{ steps.should-run.outputs.should-run == 'true' }}
id: build
uses: TwoFx/grove-action/build@v0.3
with:
project-path: doc/std/grove
script-name: grove-stdlib
invalidated-facts-artifact-name: grove-invalidated-facts
comment-artifact-name: grove-comment
toolchain-id: lean4
toolchain-path: artifacts/${{ steps.unpack-toolchain.outputs.lean-dir }}
project-ref: ${{ steps.workflow-info.outputs.sourceHeadSha }}
# deploy-alias computes a URL component for the PR preview. This
# is so we can have a stable name to use for feedback on draft
# material.
- id: deploy-alias
if: ${{ steps.should-run.outputs.should-run == 'true' }}
uses: actions/github-script@v7
name: Compute Alias
with:
result-encoding: string
script: |
if (process.env.PR) {
return `pr-${process.env.PR}`
} else {
return 'deploy-preview-main';
}
env:
PR: ${{ steps.workflow-info.outputs.pullRequestNumber }}
- name: Deploy to Netlify
if: ${{ steps.should-run.outputs.should-run == 'true' }}
id: deploy-draft
uses: nwtgck/actions-netlify@v3.0
with:
publish-dir: ${{ steps.build.outputs.out-path }}
production-deploy: false
github-token: ${{ secrets.GITHUB_TOKEN }}
alias: ${{ steps.deploy-alias.outputs.result }}
enable-commit-comment: false
enable-pull-request-comment: false
fails-without-credentials: true
enable-github-deployment: false
enable-commit-status: false
env:
NETLIFY_AUTH_TOKEN: ${{ secrets.NETLIFY_AUTH_TOKEN }}
NETLIFY_SITE_ID: "1cacfa39-a11c-467c-99e7-2e01d7b4089e"
# actions-netlify cannot add deploy links to a PR because it assumes a
# pull_request context, not a workflow_run context, see
# https://github.com/nwtgck/actions-netlify/issues/545
# We work around by using a comment to post the latest link
- name: "Comment on PR with preview links"
uses: marocchino/sticky-pull-request-comment@v2
if: ${{ steps.should-run.outputs.should-run == 'true' && steps.workflow-info.outputs.pullRequestNumber != '' }}
with:
number: ${{ env.PR_NUMBER }}
header: preview-comment
recreate: true
message: |
[Grove](${{ steps.deploy-draft.outputs.deploy-url }}) for revision ${{ steps.workflow-info.outputs.sourceHeadSha }}.
${{ steps.build.outputs.comment-text }}
env:
PR_NUMBER: ${{ steps.workflow-info.outputs.pullRequestNumber }}
PR_HEADSHA: ${{ steps.workflow-info.outputs.sourceHeadSha }}

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@v10 # https://github.com/marketplace/actions/download-workflow-artifact
uses: dawidd6/action-download-artifact@v9 # https://github.com/marketplace/actions/download-workflow-artifact
with:
run_id: ${{ github.event.workflow_run.id }}
path: artifacts
@@ -48,30 +48,19 @@ jobs:
git -C lean4.git remote add origin https://github.com/${{ github.repository_owner }}/lean4.git
git -C lean4.git fetch -n origin master
git -C lean4.git fetch -n origin "${{ steps.workflow-info.outputs.sourceHeadSha }}"
# Create both the original tag and the SHA-suffixed tag
SHORT_SHA="${{ steps.workflow-info.outputs.sourceHeadSha }}"
SHORT_SHA="${SHORT_SHA:0:7}"
# Export the short SHA for use in subsequent steps
echo "SHORT_SHA=${SHORT_SHA}" >> "$GITHUB_ENV"
git -C lean4.git tag -f pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }} "${{ steps.workflow-info.outputs.sourceHeadSha }}"
git -C lean4.git tag -f pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}-"${SHORT_SHA}" "${{ steps.workflow-info.outputs.sourceHeadSha }}"
git -C lean4.git remote add pr-releases https://foo:'${{ secrets.PR_RELEASES_TOKEN }}'@github.com/${{ github.repository_owner }}/lean4-pr-releases.git
git -C lean4.git push -f pr-releases pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}
git -C lean4.git push -f pr-releases pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}-"${SHORT_SHA}"
- name: Delete existing release if present
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
run: |
# Try to delete any existing release for the current PR (just the version without the SHA suffix).
# Try to delete any existing release for the current PR.
gh release delete --repo ${{ github.repository_owner }}/lean4-pr-releases pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }} -y || true
env:
GH_TOKEN: ${{ secrets.PR_RELEASES_TOKEN }}
- name: Release (short format)
- name: Release
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
uses: softprops/action-gh-release@da05d552573ad5aba039eaac05058a918a7bf631
uses: softprops/action-gh-release@v2
with:
name: Release for PR ${{ steps.workflow-info.outputs.pullRequestNumber }}
# There are coredumps files here as well, but all in deeper subdirectories.
@@ -84,22 +73,7 @@ jobs:
# The token used here must have `workflow` privileges.
GITHUB_TOKEN: ${{ secrets.PR_RELEASES_TOKEN }}
- name: Release (SHA-suffixed format)
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
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.
files: artifacts/*/*
fail_on_unmatched_files: true
draft: false
tag_name: pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}-${{ env.SHORT_SHA }}
repository: ${{ github.repository_owner }}/lean4-pr-releases
env:
# The token used here must have `workflow` privileges.
GITHUB_TOKEN: ${{ secrets.PR_RELEASES_TOKEN }}
- name: Report release status (short format)
- name: Report release status
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
uses: actions/github-script@v7
with:
@@ -113,20 +87,6 @@ jobs:
description: "${{ github.repository_owner }}/lean4-pr-releases:pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}",
});
- name: Report release status (SHA-suffixed format)
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
uses: actions/github-script@v7
with:
script: |
await github.rest.repos.createCommitStatus({
owner: context.repo.owner,
repo: context.repo.repo,
sha: "${{ steps.workflow-info.outputs.sourceHeadSha }}",
state: "success",
context: "PR toolchain (SHA-suffixed)",
description: "${{ github.repository_owner }}/lean4-pr-releases:pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}-${{ env.SHORT_SHA }}",
});
- name: Add label
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
uses: actions/github-script@v7
@@ -154,7 +114,7 @@ jobs:
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
- name: Check merge-base and nightly-testing-YYYY-MM-DD
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
id: ready
run: |
@@ -167,7 +127,7 @@ jobs:
echo "The merge base of this PR coincides with the nightly release"
BATTERIES_REMOTE_TAGS="$(git ls-remote https://github.com/leanprover-community/batteries.git nightly-testing-"$MOST_RECENT_NIGHTLY")"
MATHLIB_REMOTE_TAGS="$(git ls-remote https://github.com/leanprover-community/mathlib4-nightly-testing.git nightly-testing-"$MOST_RECENT_NIGHTLY")"
MATHLIB_REMOTE_TAGS="$(git ls-remote https://github.com/leanprover-community/mathlib4.git nightly-testing-"$MOST_RECENT_NIGHTLY")"
if [[ -n "$BATTERIES_REMOTE_TAGS" ]]; then
echo "... and Batteries has a 'nightly-testing-$MOST_RECENT_NIGHTLY' tag."
@@ -183,6 +143,7 @@ jobs:
echo "... but Batteries does not yet have a 'nightly-testing-$MOST_RECENT_NIGHTLY' tag."
MESSAGE="- ❗ Batteries CI can not be attempted yet, as the \`nightly-testing-$MOST_RECENT_NIGHTLY\` tag does not exist there yet. We will retry when you push more commits. If you rebase your branch onto \`nightly-with-mathlib\`, Batteries CI should run now."
fi
else
echo "The most recently nightly tag on this branch has SHA: $NIGHTLY_SHA"
echo "but 'git merge-base origin/master HEAD' reported: $MERGE_BASE_SHA"
@@ -264,108 +225,6 @@ jobs:
echo "mathlib_ready=true" >> "$GITHUB_OUTPUT"
fi
- name: Check merge-base and nightly-testing-YYYY-MM-DD for reference manual
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
id: reference-manual-ready
run: |
echo "Most recent nightly release in your branch: $MOST_RECENT_NIGHTLY"
NIGHTLY_SHA=$(git -C lean4.git rev-parse "nightly-$MOST_RECENT_NIGHTLY^{commit}")
echo "SHA of most recent nightly release: $NIGHTLY_SHA"
MERGE_BASE_SHA=$(git -C lean4.git merge-base origin/master "${{ steps.workflow-info.outputs.sourceHeadSha }}")
echo "SHA of merge-base: $MERGE_BASE_SHA"
if [ "$NIGHTLY_SHA" = "$MERGE_BASE_SHA" ]; then
echo "The merge base of this PR coincides with the nightly release"
MANUAL_REMOTE_TAGS="$(git ls-remote https://github.com/leanprover/reference-manual.git nightly-testing-"$MOST_RECENT_NIGHTLY")"
if [[ -n "$MANUAL_REMOTE_TAGS" ]]; then
echo "... and the reference manual has a 'nightly-testing-$MOST_RECENT_NIGHTLY' tag."
MESSAGE=""
else
echo "... but the reference manual does not yet have a 'nightly-testing-$MOST_RECENT_NIGHTLY' tag."
MESSAGE="- ❗ Reference manual CI can not be attempted yet, as the \`nightly-testing-$MOST_RECENT_NIGHTLY\` tag does not exist there yet. We will retry when you push more commits. If you rebase your branch onto \`nightly-with-manual\`, reference manual CI should run now."
fi
else
echo "The most recently nightly tag on this branch has SHA: $NIGHTLY_SHA"
echo "but 'git merge-base origin/master HEAD' reported: $MERGE_BASE_SHA"
git -C lean4.git log -10 origin/master
git -C lean4.git fetch origin nightly-with-manual
NIGHTLY_WITH_MANUAL_SHA="$(git -C lean4.git rev-parse "origin/nightly-with-manual")"
MESSAGE="- ❗ Reference manual CI will not be attempted unless your PR branches off the \`nightly-with-manual\` branch. Try \`git rebase $MERGE_BASE_SHA --onto $NIGHTLY_WITH_MANUAL_SHA\`."
fi
if [[ -n "$MESSAGE" ]]; then
# Check if force-manual-ci label is present
LABELS="$(curl --retry 3 --location --silent \
-H "Authorization: token ${{ secrets.MANUAL_COMMENT_BOT }}" \
-H "Accept: application/vnd.github.v3+json" \
"https://api.github.com/repos/leanprover/lean4/issues/${{ steps.workflow-info.outputs.pullRequestNumber }}/labels" \
| jq -r '.[].name')"
if echo "$LABELS" | grep -q "^force-manual-ci$"; then
echo "force-manual-ci label detected, forcing CI despite issues"
MESSAGE="Forcing reference manual CI because the \`force-manual-ci\` label is present, despite problem: $MESSAGE"
FORCE_CI=true
else
MESSAGE="$MESSAGE You can force reference manual CI using the \`force-manual-ci\` label."
fi
echo "Checking existing messages"
# The code for updating comments is duplicated in the reference manual's
# scripts/lean-pr-testing-comments.sh
# so keep in sync
# Use GitHub API to check if a comment already exists
existing_comment="$(curl --retry 3 --location --silent \
-H "Authorization: token ${{ secrets.MANUAL_COMMENT_BOT }}" \
-H "Accept: application/vnd.github.v3+json" \
"https://api.github.com/repos/leanprover/lean4/issues/${{ steps.workflow-info.outputs.pullRequestNumber }}/comments" \
| jq 'first(.[] | select(.body | test("^- . Manual") or startswith("Reference manual CI status")) | select(.user.login == "leanprover-bot"))')"
existing_comment_id="$(echo "$existing_comment" | jq -r .id)"
existing_comment_body="$(echo "$existing_comment" | jq -r .body)"
if [[ "$existing_comment_body" != *"$MESSAGE"* ]]; then
MESSAGE="$MESSAGE ($(date "+%Y-%m-%d %H:%M:%S"))"
echo "Posting message to the comments: $MESSAGE"
# Append new result to the existing comment or post a new comment
# It's essential we use the MANUAL_COMMENT_BOT token here, so that reference manual CI can subsequently edit the comment.
if [ -z "$existing_comment_id" ]; then
INTRO="Reference manual CI status:"
# Post new comment with a bullet point
echo "Posting as new comment at leanprover/lean4/issues/${{ steps.workflow-info.outputs.pullRequestNumber }}/comments"
curl -L -s \
-X POST \
-H "Authorization: token ${{ secrets.MANUAL_COMMENT_BOT }}" \
-H "Accept: application/vnd.github.v3+json" \
-d "$(jq --null-input --arg intro "$INTRO" --arg val "$MESSAGE" '{"body":($intro + "\n" + $val)}')" \
"https://api.github.com/repos/leanprover/lean4/issues/${{ steps.workflow-info.outputs.pullRequestNumber }}/comments"
else
# Append new result to the existing comment
echo "Appending to existing comment at leanprover/lean4/issues/${{ steps.workflow-info.outputs.pullRequestNumber }}/comments"
curl -L -s \
-X PATCH \
-H "Authorization: token ${{ secrets.MANUAL_COMMENT_BOT }}" \
-H "Accept: application/vnd.github.v3+json" \
-d "$(jq --null-input --arg existing "$existing_comment_body" --arg message "$MESSAGE" '{"body":($existing + "\n" + $message)}')" \
"https://api.github.com/repos/leanprover/lean4/issues/comments/$existing_comment_id"
fi
else
echo "The message already exists in the comment body."
fi
if [[ "$FORCE_CI" == "true" ]]; then
echo "manual_ready=true" >> "$GITHUB_OUTPUT"
else
echo "manual_ready=false" >> "$GITHUB_OUTPUT"
fi
else
echo "manual_ready=true" >> "$GITHUB_OUTPUT"
fi
- name: Report mathlib base
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' && steps.ready.outputs.mathlib_ready == 'true' }}
uses: actions/github-script@v7
@@ -423,18 +282,16 @@ jobs:
if [ "$EXISTS" = "0" ]; then
echo "Branch does not exist, creating it."
git switch -c lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }} "$BASE"
echo "leanprover/lean4-pr-releases:pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}-${{ env.SHORT_SHA }}" > lean-toolchain
echo "leanprover/lean4-pr-releases:pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}" > lean-toolchain
git add lean-toolchain
git commit -m "Update lean-toolchain for testing https://github.com/leanprover/lean4/pull/${{ steps.workflow-info.outputs.pullRequestNumber }}"
else
echo "Branch already exists, updating lean-toolchain."
echo "Branch already exists, pushing an empty commit."
git switch lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }}
# The Batteries `nightly-testing` or `nightly-testing-YYYY-MM-DD` branch may have moved since this branch was created, so merge their changes.
# (This should no longer be possible once `nightly-testing-YYYY-MM-DD` is a tag, but it is still safe to merge.)
git merge "$BASE" --strategy-option ours --no-commit --allow-unrelated-histories
echo "leanprover/lean4-pr-releases:pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}-${{ env.SHORT_SHA }}" > lean-toolchain
git add lean-toolchain
git commit -m "Update lean-toolchain for https://github.com/leanprover/lean4/pull/${{ steps.workflow-info.outputs.pullRequestNumber }}"
git commit --allow-empty -m "Trigger CI for https://github.com/leanprover/lean4/pull/${{ steps.workflow-info.outputs.pullRequestNumber }}"
fi
- name: Push changes
@@ -456,7 +313,7 @@ jobs:
if: steps.workflow-info.outputs.pullRequestNumber != '' && steps.ready.outputs.mathlib_ready == 'true'
uses: actions/checkout@v4
with:
repository: leanprover-community/mathlib4-nightly-testing
repository: leanprover-community/mathlib4
token: ${{ secrets.MATHLIB4_BOT }}
ref: nightly-testing
fetch-depth: 0 # This ensures we check out all tags and branches.
@@ -489,86 +346,24 @@ jobs:
if [ "$EXISTS" = "0" ]; then
echo "Branch does not exist, creating it."
git switch -c lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }} "$BASE"
echo "leanprover/lean4-pr-releases:pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}-${{ env.SHORT_SHA }}" > lean-toolchain
echo "leanprover/lean4-pr-releases:pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}" > lean-toolchain
git add lean-toolchain
sed -i 's,require "leanprover-community" / "batteries" @ git ".\+",require "leanprover-community" / "batteries" @ git "lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }}",' lakefile.lean
lake update batteries
git add lakefile.lean lake-manifest.json
git commit -m "Update lean-toolchain for testing https://github.com/leanprover/lean4/pull/${{ steps.workflow-info.outputs.pullRequestNumber }}"
else
echo "Branch already exists, updating lean-toolchain and bumping Batteries."
echo "Branch already exists, merging $BASE and bumping Batteries."
git switch lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }}
# The Mathlib `nightly-testing` branch or `nightly-testing-YYYY-MM-DD` tag may have moved since this branch was created, so merge their changes.
# (This should no longer be possible once `nightly-testing-YYYY-MM-DD` is a tag, but it is still safe to merge.)
git merge "$BASE" --strategy-option ours --no-commit --allow-unrelated-histories
echo "leanprover/lean4-pr-releases:pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}-${{ env.SHORT_SHA }}" > lean-toolchain
git add lean-toolchain
lake update batteries
git add lake-manifest.json
git commit -m "Update lean-toolchain for https://github.com/leanprover/lean4/pull/${{ steps.workflow-info.outputs.pullRequestNumber }}"
git commit --allow-empty -m "Trigger CI for https://github.com/leanprover/lean4/pull/${{ steps.workflow-info.outputs.pullRequestNumber }}"
fi
- name: Push changes
if: steps.workflow-info.outputs.pullRequestNumber != '' && steps.ready.outputs.mathlib_ready == 'true'
run: |
git push origin lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }}
# We next automatically create a reference manual branch using this toolchain.
# Reference manual CI will be responsible for reporting back success or failure
# to the PR comments asynchronously (and thus transitively SubVerso/Verso).
- name: Cleanup workspace
if: steps.workflow-info.outputs.pullRequestNumber != '' && steps.reference-manual-ready.outputs.manual_ready == 'true'
run: |
sudo rm -rf ./*
# Checkout the reference manual repository with all branches
- name: Checkout mathlib4 repository
if: steps.workflow-info.outputs.pullRequestNumber != '' && steps.reference-manual-ready.outputs.manual_ready == 'true'
uses: actions/checkout@v4
with:
repository: leanprover/reference-manual
token: ${{ secrets.MANUAL_PR_BOT }}
ref: nightly-testing
fetch-depth: 0 # This ensures we check out all tags and branches.
- name: Check if tag in reference manual exists
if: steps.workflow-info.outputs.pullRequestNumber != '' && steps.reference-manual-ready.outputs.manual_ready == 'true'
id: check_manual_tag
run: |
git config user.name "leanprover-bot"
git config user.email "leanprover-bot@lean-fro.org"
if git ls-remote --heads --tags --exit-code origin "nightly-testing-${MOST_RECENT_NIGHTLY}" >/dev/null; then
BASE="nightly-testing-${MOST_RECENT_NIGHTLY}"
else
echo "Couldn't find a 'nightly-testing-${MOST_RECENT_NIGHTLY}' branch in the reference manual. Falling back to 'nightly-testing'."
BASE=nightly-testing
fi
echo "Using base tag: $BASE"
EXISTS="$(git ls-remote --heads origin lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }} | wc -l)"
echo "Branch exists: $EXISTS"
if [ "$EXISTS" = "0" ]; then
echo "Branch does not exist, creating it."
git switch -c lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }} "$BASE"
echo "leanprover/lean4-pr-releases:pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}-${{ env.SHORT_SHA }}" > lean-toolchain
git add lean-toolchain
git add lakefile.lean lake-manifest.json
git commit -m "Update lean-toolchain for testing https://github.com/leanprover/lean4/pull/${{ steps.workflow-info.outputs.pullRequestNumber }}"
else
echo "Branch already exists, updating lean-toolchain."
git switch lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }}
# The reference manual's `nightly-testing` branch or `nightly-testing-YYYY-MM-DD` tag may have moved since this branch was created, so merge their changes.
# (This should no longer be possible once `nightly-testing-YYYY-MM-DD` is a tag, but it is still safe to merge.)
git merge "$BASE" --strategy-option ours --no-commit --allow-unrelated-histories
echo "leanprover/lean4-pr-releases:pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}-${{ env.SHORT_SHA }}" > lean-toolchain
git add lean-toolchain
git add lake-manifest.json
git commit -m "Update lean-toolchain for https://github.com/leanprover/lean4/pull/${{ steps.workflow-info.outputs.pullRequestNumber }}"
fi
- name: Push changes
if: steps.workflow-info.outputs.pullRequestNumber != '' && steps.reference-manual-ready.outputs.manual_ready == 'true'
run: |
git push origin lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }}

1
.gitignore vendored
View File

@@ -6,6 +6,7 @@
lake-manifest.json
/build
/src/lakefile.toml
/tests/lakefile.toml
/lakefile.toml
GPATH
GRTAGS

View File

@@ -16,7 +16,7 @@ foreach(var ${vars})
list(APPEND STAGE1_ARGS "-D${CMAKE_MATCH_1}=${${var}}")
elseif("${currentHelpString}" MATCHES "No help, variable specified on the command line." OR "${currentHelpString}" STREQUAL "")
list(APPEND CL_ARGS "-D${var}=${${var}}")
if("${var}" MATCHES "USE_GMP|CHECK_OLEAN_VERSION|LEAN_VERSION_.*|LEAN_SPECIAL_VERSION_DESC")
if("${var}" MATCHES "USE_GMP|CHECK_OLEAN_VERSION")
# must forward options that generate incompatible .olean format
list(APPEND STAGE0_ARGS "-D${var}=${${var}}")
elseif("${var}" MATCHES "LLVM*|PKG_CONFIG|USE_LAKE|USE_MIMALLOC")

View File

@@ -131,21 +131,14 @@ Thus `[init]` functions are run iff their module is imported, regardless of whet
The initializer for module `A.B` is called `initialize_A_B` and will automatically initialize any imported modules.
Module initializers are idempotent (when run with the same `builtin` flag), but not thread-safe.
**Important for process-related functionality**: If your application needs to use process-related functions from libuv, such as `Std.Internal.IO.Process.getProcessTitle` and `Std.Internal.IO.Process.setProcessTitle`, you must call `lean_setup_args(argc, argv)` (which returns a potentially modified `argv` that must be used in place of the original) **before** calling `lean_initialize()` or `lean_initialize_runtime_module()`. This sets up process handling capabilities correctly, which is essential for certain system-level operations that Lean's runtime may depend on.
Together with initialization of the Lean runtime, you should execute code like the following exactly once before accessing any Lean declarations:
```c
void lean_initialize_runtime_module();
void lean_initialize();
char ** lean_setup_args(int argc, char ** argv);
lean_object * initialize_A_B(uint8_t builtin, lean_object *);
lean_object * initialize_C(uint8_t builtin, lean_object *);
...
argv = lean_setup_args(argc, argv); // if using process-related functionality
lean_initialize_runtime_module();
//lean_initialize(); // necessary (and replaces `lean_initialize_runtime_module`) if you (indirectly) access the `Lean` package

View File

@@ -85,13 +85,5 @@ such that changing files in `Init` doesn't force a full rebuild of `Lean`.
You can test a Lean PR against Mathlib and Batteries by rebasing your PR
on to `nightly-with-mathlib` branch. (It is fine to force push after rebasing.)
CI will generate a branch of Mathlib and Batteries called `lean-pr-testing-NNNN`
on the `leanprover-community/mathlib4-nightly-testing` fork of Mathlib.
This branch uses the toolchain for your PR, and will report back to the Lean PR with results from Mathlib CI.
that uses the toolchain for your PR, and will report back to the Lean PR with results from Mathlib CI.
See https://leanprover-community.github.io/contribute/tags_and_branches.html for more details.
### Testing against the Lean Language Reference
You can test a Lean PR against the reference manual by rebasing your PR
on to `nightly-with-manual` branch. (It is fine to force push after rebasing.)
CI will generate a branch of the reference manual called `lean-pr-testing-NNNN`
in `leanprover/reference-manual`. This branch uses the toolchain for your PR,
and will report back to the Lean PR with results from Mathlib CI.

View File

@@ -50,7 +50,7 @@ We'll use `v4.6.0` as the intended release version as a running example.
- Re-running `script/release_checklist.py` will then create the tag `v4.6.0` from `master`/`main` and push it (unless `toolchain-tag: false` in the `release_repos.yml` file)
- `script/release_checklist.py` will then merge the tag `v4.6.0` into the `stable` branch and push it (unless `stable-branch: false` in the `release_repos.yml` file).
- Special notes on repositories with exceptional requirements:
- `doc-gen4` has additional dependencies which we do not update at each toolchain release, although occasionally these break and need to be updated manually.
- `doc-gen4` has addition dependencies which we do not update at each toolchain release, although occasionally these break and need to be updated manually.
- `verso`:
- The `subverso` dependency is unusual in that it needs to be compatible with _every_ Lean release simultaneously.
Usually you don't need to do anything.
@@ -94,8 +94,6 @@ We'll use `v4.6.0` as the intended release version as a running example.
This checklist walks you through creating the first release candidate for a version of Lean.
For subsequent release candidates, the process is essentially the same, but we start out with the `releases/v4.7.0` branch already created.
We'll use `v4.7.0-rc1` as the intended release version in this example.
- Decide which nightly release you want to turn into a release candidate.
@@ -114,7 +112,7 @@ We'll use `v4.7.0-rc1` as the intended release version in this example.
git fetch nightly tag nightly-2024-02-29
git checkout nightly-2024-02-29
git checkout -b releases/v4.7.0
git push --set-upstream origin releases/v4.7.0
git push --set-upstream origin releases/v4.18.0
```
- In `src/CMakeLists.txt`,
- verify that you see `set(LEAN_VERSION_MINOR 7)` (for whichever `7` is appropriate); this should already have been updated when the development cycle began.

View File

@@ -1,4 +0,0 @@
/.lake
!lake-manifest.json
metadata.json
invalidated.json

View File

@@ -1,14 +0,0 @@
import Grove.Framework
import GroveStdlib.Generated.«associative-query-operations»
/-
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
def restoreState : RestoreStateM Unit := do
«associative-query-operations».restoreState

View File

@@ -1,486 +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-query-operations»
def «01f88623-fa5f-4380-9772-b30f2fec5c94» : AssociationTable.Fact .subexpression where
widgetId := "associative-query-operations"
factId := "01f88623-fa5f-4380-9772-b30f2fec5c94"
rowId := "01f88623-fa5f-4380-9772-b30f2fec5c94"
rowState := #["Std.DHashMap", "Std.DHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.isEmpty,
renderedStatement := "Std.DHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.DHashMap α β) : Bool",
isDeprecated := false }),"Std.DHashMap.Raw", "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 }),"Std.ExtDHashMap", "Std.ExtDHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDHashMap.isEmpty,
renderedStatement := "Std.ExtDHashMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α]\n [LawfulHashable α] (m : Std.ExtDHashMap α β) : Bool",
isDeprecated := false }),"Std.DTreeMap", "Std.DTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.isEmpty,
renderedStatement := "Std.DTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap α β cmp) : Bool",
isDeprecated := false }),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.isEmpty,
renderedStatement := "Std.DTreeMap.Raw.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap.Raw α β cmp) :\n Bool",
isDeprecated := false }),"Std.ExtDTreeMap", "Std.ExtDTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.isEmpty,
renderedStatement := "Std.ExtDTreeMap.isEmpty.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.ExtDTreeMap α β cmp) :\n Bool",
isDeprecated := false }),"Std.HashMap", "Std.HashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashMap.isEmpty,
renderedStatement := "Std.HashMap.isEmpty.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashMap α β) : Bool",
isDeprecated := false }),"Std.HashMap.Raw", "Std.HashMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashMap.Raw.isEmpty,
renderedStatement := "Std.HashMap.Raw.isEmpty.{u, v} {α : Type u} {β : Type v} (m : Std.HashMap.Raw α β) : Bool",
isDeprecated := false }),"Std.ExtHashMap", "Std.ExtHashMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtHashMap.isEmpty,
renderedStatement := "Std.ExtHashMap.isEmpty.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashMap α β) : Bool",
isDeprecated := false }),"Std.TreeMap", "Std.TreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.isEmpty,
renderedStatement := "Std.TreeMap.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp) : Bool",
isDeprecated := false }),"Std.TreeMap.Raw", "Std.TreeMap.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.Raw.isEmpty,
renderedStatement := "Std.TreeMap.Raw.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap.Raw α β cmp) : Bool",
isDeprecated := false }),"Std.ExtTreeMap", "Std.ExtTreeMap.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeMap.isEmpty,
renderedStatement := "Std.ExtTreeMap.isEmpty.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.ExtTreeMap α β cmp) : Bool",
isDeprecated := false }),"Std.HashSet", "Std.HashSet.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.isEmpty,
renderedStatement := "Std.HashSet.isEmpty.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashSet α) : Bool",
isDeprecated := false }),"Std.HashSet.Raw", "Std.HashSet.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.Raw.isEmpty,
renderedStatement := "Std.HashSet.Raw.isEmpty.{u} {α : Type u} (m : Std.HashSet.Raw α) : Bool",
isDeprecated := false }),"Std.ExtHashSet", "Std.ExtHashSet.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtHashSet.isEmpty,
renderedStatement := "Std.ExtHashSet.isEmpty.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) : Bool",
isDeprecated := false }),"Std.TreeSet", "Std.TreeSet.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.isEmpty,
renderedStatement := "Std.TreeSet.isEmpty.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) : Bool",
isDeprecated := false }),"Std.TreeSet.Raw", "Std.TreeSet.Raw.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.Raw.isEmpty,
renderedStatement := "Std.TreeSet.Raw.isEmpty.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp) : Bool",
isDeprecated := false }),"Std.ExtTreeSet", "Std.ExtTreeSet.isEmpty", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeSet.isEmpty,
renderedStatement := "Std.ExtTreeSet.isEmpty.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.ExtTreeSet α cmp) : Bool",
isDeprecated := false }),]
metadata := {
status := .done
comment := ""
}
def «f084f852-af71-45b6-8ab3-d251a8144f72» : AssociationTable.Fact .subexpression where
widgetId := "associative-query-operations"
factId := "f084f852-af71-45b6-8ab3-d251a8144f72"
rowId := "f084f852-af71-45b6-8ab3-d251a8144f72"
rowState := #["Std.DHashMap", "Std.DHashMap.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.size,
renderedStatement := "Std.DHashMap.size.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.DHashMap α β) : Nat",
isDeprecated := false }),"Std.DHashMap.Raw", "Std.DHashMap.Raw.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DHashMap.Raw.size,
renderedStatement := "Std.DHashMap.Raw.size.{u, v} {α : Type u} {β : α → Type v} (self : Std.DHashMap.Raw α β) : Nat",
isDeprecated := false }),"Std.ExtDHashMap", "Std.ExtDHashMap.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDHashMap.size,
renderedStatement := "Std.ExtDHashMap.size.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α]\n [LawfulHashable α] (m : Std.ExtDHashMap α β) : Nat",
isDeprecated := false }),"Std.DTreeMap", "Std.DTreeMap.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.size,
renderedStatement := "Std.DTreeMap.size.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap α β cmp) : Nat",
isDeprecated := false }),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.size,
renderedStatement := "Std.DTreeMap.Raw.size.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap.Raw α β cmp) : Nat",
isDeprecated := false }),"Std.ExtDTreeMap", "Std.ExtDTreeMap.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.size,
renderedStatement := "Std.ExtDTreeMap.size.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.ExtDTreeMap α β cmp) : Nat",
isDeprecated := false }),"Std.HashMap", "Std.HashMap.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashMap.size,
renderedStatement := "Std.HashMap.size.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashMap α β) : Nat",
isDeprecated := false }),"Std.HashMap.Raw", "Std.HashMap.Raw.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashMap.Raw.size,
renderedStatement := "Std.HashMap.Raw.size.{u, v} {α : Type u} {β : Type v} (m : Std.HashMap.Raw α β) : Nat",
isDeprecated := false }),"Std.ExtHashMap", "Std.ExtHashMap.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtHashMap.size,
renderedStatement := "Std.ExtHashMap.size.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashMap α β) : Nat",
isDeprecated := false }),"Std.TreeMap", "Std.TreeMap.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.size,
renderedStatement := "Std.TreeMap.size.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp) : Nat",
isDeprecated := false }),"Std.TreeMap.Raw", "Std.TreeMap.Raw.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.Raw.size,
renderedStatement := "Std.TreeMap.Raw.size.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap.Raw α β cmp) : Nat",
isDeprecated := false }),"Std.ExtTreeMap", "Std.ExtTreeMap.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeMap.size,
renderedStatement := "Std.ExtTreeMap.size.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.ExtTreeMap α β cmp) : Nat",
isDeprecated := false }),"Std.HashSet", "Std.HashSet.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.size,
renderedStatement := "Std.HashSet.size.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashSet α) : Nat",
isDeprecated := false }),"Std.HashSet.Raw", "Std.HashSet.Raw.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.Raw.size,
renderedStatement := "Std.HashSet.Raw.size.{u} {α : Type u} (m : Std.HashSet.Raw α) : Nat",
isDeprecated := false }),"Std.ExtHashSet", "Std.ExtHashSet.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtHashSet.size,
renderedStatement := "Std.ExtHashSet.size.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) : Nat",
isDeprecated := false }),"Std.TreeSet", "Std.TreeSet.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.size,
renderedStatement := "Std.TreeSet.size.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) : Nat",
isDeprecated := false }),"Std.TreeSet.Raw", "Std.TreeSet.Raw.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.Raw.size,
renderedStatement := "Std.TreeSet.Raw.size.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp) : Nat",
isDeprecated := false }),"Std.ExtTreeSet", "Std.ExtTreeSet.size", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeSet.size,
renderedStatement := "Std.ExtTreeSet.size.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.ExtTreeSet α cmp) : Nat",
isDeprecated := false }),]
metadata := {
status := .done
comment := ""
}
def «f4e6fa70-5aed-439d-aaad-5f4ced65bf7b» : AssociationTable.Fact .subexpression where
widgetId := "associative-query-operations"
factId := "f4e6fa70-5aed-439d-aaad-5f4ced65bf7b"
rowId := "f4e6fa70-5aed-439d-aaad-5f4ced65bf7b"
rowState := #["Std.DTreeMap", "Std.DTreeMap.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.any,
renderedStatement := "Std.DTreeMap.any.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap α β cmp)\n (p : (a : α) → β a → Bool) : Bool",
isDeprecated := false }),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.DTreeMap.Raw.any,
renderedStatement := "Std.DTreeMap.Raw.any.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap.Raw α β cmp)\n (p : (a : α) → β a → Bool) : Bool",
isDeprecated := false }),"Std.ExtDTreeMap", "Std.ExtDTreeMap.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtDTreeMap.any,
renderedStatement := "Std.ExtDTreeMap.any.{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.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.any,
renderedStatement := "Std.TreeMap.any.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp) (p : α → β → Bool) :\n Bool",
isDeprecated := false }),"Std.TreeMap.Raw", "Std.TreeMap.Raw.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeMap.Raw.any,
renderedStatement := "Std.TreeMap.Raw.any.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap.Raw α β cmp)\n (p : α → β → Bool) : Bool",
isDeprecated := false }),"Std.ExtTreeMap", "Std.ExtTreeMap.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeMap.any,
renderedStatement := "Std.ExtTreeMap.any.{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.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.any,
renderedStatement := "Std.HashSet.any.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashSet α) (p : α → Bool) : Bool",
isDeprecated := false }),"Std.HashSet.Raw", "Std.HashSet.Raw.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.HashSet.Raw.any,
renderedStatement := "Std.HashSet.Raw.any.{u} {α : Type u} (m : Std.HashSet.Raw α) (p : α → Bool) : Bool",
isDeprecated := false }),"Std.TreeSet", "Std.TreeSet.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.any,
renderedStatement := "Std.TreeSet.any.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) (p : α → Bool) : Bool",
isDeprecated := false }),"Std.TreeSet.Raw", "Std.TreeSet.Raw.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.TreeSet.Raw.any,
renderedStatement := "Std.TreeSet.Raw.any.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp) (p : α → Bool) : Bool",
isDeprecated := false }),"Std.ExtTreeSet", "Std.ExtTreeSet.any", Grove.Framework.Subexpression.State.declaration
(Grove.Framework.Declaration.def
{ name := `Std.ExtTreeSet.any,
renderedStatement := "Std.ExtTreeSet.any.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp] (t : Std.ExtTreeSet α cmp)\n (p : α → Bool) : Bool",
isDeprecated := false }),]
metadata := {
status := .bad
comment := "Missing for some containers"
}
def «c1d181f6-3204-4956-946f-e81619f9feb4» : AssociationTable.Fact .subexpression where
widgetId := "associative-query-operations"
factId := "c1d181f6-3204-4956-946f-e81619f9feb4"
rowId := "c1d181f6-3204-4956-946f-e81619f9feb4"
rowState := #["Std.DTreeMap", "Std.DTreeMap.all", .declaration (Declaration.def {
name := `Std.DTreeMap.all
renderedStatement := "Std.DTreeMap.all.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap α β cmp)\n (p : (a : α) → β a → Bool) : Bool"
isDeprecated := false
}
),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.all", .declaration (Declaration.def {
name := `Std.DTreeMap.Raw.all
renderedStatement := "Std.DTreeMap.Raw.all.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} (t : Std.DTreeMap.Raw α β cmp)\n (p : (a : α) → β a → Bool) : Bool"
isDeprecated := false
}
),"Std.ExtDTreeMap", "Std.ExtDTreeMap.all", .declaration (Declaration.def {
name := `Std.ExtDTreeMap.all
renderedStatement := "Std.ExtDTreeMap.all.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtDTreeMap α β cmp) (p : (a : α) → β a → Bool) : Bool"
isDeprecated := false
}
),"Std.TreeMap", "Std.TreeMap.all", .declaration (Declaration.def {
name := `Std.TreeMap.all
renderedStatement := "Std.TreeMap.all.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp) (p : α → β → Bool) :\n Bool"
isDeprecated := false
}
),"Std.TreeMap.Raw", "Std.TreeMap.Raw.all", .declaration (Declaration.def {
name := `Std.TreeMap.Raw.all
renderedStatement := "Std.TreeMap.Raw.all.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap.Raw α β cmp)\n (p : α → β → Bool) : Bool"
isDeprecated := false
}
),"Std.ExtTreeMap", "Std.ExtTreeMap.all", .declaration (Declaration.def {
name := `Std.ExtTreeMap.all
renderedStatement := "Std.ExtTreeMap.all.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeMap α β cmp) (p : α → β → Bool) : Bool"
isDeprecated := false
}
),"Std.HashSet", "Std.HashSet.all", .declaration (Declaration.def {
name := `Std.HashSet.all
renderedStatement := "Std.HashSet.all.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashSet α) (p : α → Bool) : Bool"
isDeprecated := false
}
),"Std.HashSet.Raw", "Std.HashSet.Raw.all", .declaration (Declaration.def {
name := `Std.HashSet.Raw.all
renderedStatement := "Std.HashSet.Raw.all.{u} {α : Type u} (m : Std.HashSet.Raw α) (p : α → Bool) : Bool"
isDeprecated := false
}
),"Std.TreeSet", "Std.TreeSet.all", .declaration (Declaration.def {
name := `Std.TreeSet.all
renderedStatement := "Std.TreeSet.all.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) (p : α → Bool) : Bool"
isDeprecated := false
}
),"Std.TreeSet.Raw", "Std.TreeSet.Raw.all", .declaration (Declaration.def {
name := `Std.TreeSet.Raw.all
renderedStatement := "Std.TreeSet.Raw.all.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp) (p : α → Bool) : Bool"
isDeprecated := false
}
),"Std.ExtTreeSet", "Std.ExtTreeSet.all", .declaration (Declaration.def {
name := `Std.ExtTreeSet.all
renderedStatement := "Std.ExtTreeSet.all.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp] (t : Std.ExtTreeSet α cmp)\n (p : α → Bool) : Bool"
isDeprecated := false
}
),]
metadata := {
status := .bad
comment := "Missing for some containers"
}
def «efe57f41-7db7-4303-b3a6-5216a70c43ce» : AssociationTable.Fact .subexpression where
widgetId := "associative-query-operations"
factId := "efe57f41-7db7-4303-b3a6-5216a70c43ce"
rowId := "efe57f41-7db7-4303-b3a6-5216a70c43ce"
rowState := #["Std.DHashMap", "Std.DHashMap.getD", .declaration (Declaration.def {
name := `Std.DHashMap.getD
renderedStatement := "Std.DHashMap.getD.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.DHashMap α β) (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.DHashMap.Raw", "Std.DHashMap.Raw.getD", .declaration (Declaration.def {
name := `Std.DHashMap.Raw.getD
renderedStatement := "Std.DHashMap.Raw.getD.{u, v} {α : Type u} {β : α → Type v} [BEq α] [Hashable α] [LawfulBEq α] (m : Std.DHashMap.Raw α β)\n (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.ExtDHashMap", "Std.ExtDHashMap.getD", .declaration (Declaration.def {
name := `Std.ExtDHashMap.getD
renderedStatement := "Std.ExtDHashMap.getD.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.ExtDHashMap α β) (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.DTreeMap", "Std.DTreeMap.getD", .declaration (Declaration.def {
name := `Std.DTreeMap.getD
renderedStatement := "Std.DTreeMap.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap α β cmp) (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.getD", .declaration (Declaration.def {
name := `Std.DTreeMap.Raw.getD
renderedStatement := "Std.DTreeMap.Raw.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap.Raw α β cmp) (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.ExtDTreeMap", "Std.ExtDTreeMap.getD", .declaration (Declaration.def {
name := `Std.ExtDTreeMap.getD
renderedStatement := "Std.ExtDTreeMap.getD.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n [Std.LawfulEqCmp cmp] (t : Std.ExtDTreeMap α β cmp) (a : α) (fallback : β a) : β a"
isDeprecated := false
}
),"Std.HashMap", "Std.HashMap.getD", .declaration (Declaration.def {
name := `Std.HashMap.getD
renderedStatement := "Std.HashMap.getD.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} (m : Std.HashMap α β) (a : α)\n (fallback : β) : β"
isDeprecated := false
}
),"Std.HashMap.Raw", "Std.HashMap.Raw.getD", .declaration (Declaration.def {
name := `Std.HashMap.Raw.getD
renderedStatement := "Std.HashMap.Raw.getD.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (m : Std.HashMap.Raw α β) (a : α)\n (fallback : β) : β"
isDeprecated := false
}
),"Std.ExtHashMap", "Std.ExtHashMap.getD", .declaration (Declaration.def {
name := `Std.ExtHashMap.getD
renderedStatement := "Std.ExtHashMap.getD.{u, v} {α : Type u} {β : Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashMap α β) (a : α) (fallback : β) : β"
isDeprecated := false
}
),"Std.TreeMap", "Std.TreeMap.getD", .declaration (Declaration.def {
name := `Std.TreeMap.getD
renderedStatement := "Std.TreeMap.getD.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap α β cmp) (a : α)\n (fallback : β) : β"
isDeprecated := false
}
),"Std.TreeMap.Raw", "Std.TreeMap.Raw.getD", .declaration (Declaration.def {
name := `Std.TreeMap.Raw.getD
renderedStatement := "Std.TreeMap.Raw.getD.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} (t : Std.TreeMap.Raw α β cmp) (a : α)\n (fallback : β) : β"
isDeprecated := false
}
),"Std.ExtTreeMap", "Std.ExtTreeMap.getD", .declaration (Declaration.def {
name := `Std.ExtTreeMap.getD
renderedStatement := "Std.ExtTreeMap.getD.{u, v} {α : Type u} {β : Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n (t : Std.ExtTreeMap α β cmp) (a : α) (fallback : β) : β"
isDeprecated := false
}
),"Std.HashSet", "Std.HashSet.getD", .declaration (Declaration.def {
name := `Std.HashSet.getD
renderedStatement := "Std.HashSet.getD.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet α) (a fallback : α) : α"
isDeprecated := false
}
),"Std.HashSet.Raw", "Std.HashSet.Raw.getD", .declaration (Declaration.def {
name := `Std.HashSet.Raw.getD
renderedStatement := "Std.HashSet.Raw.getD.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet.Raw α) (a fallback : α) : α"
isDeprecated := false
}
),"Std.ExtHashSet", "Std.ExtHashSet.getD", .declaration (Declaration.def {
name := `Std.ExtHashSet.getD
renderedStatement := "Std.ExtHashSet.getD.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) (a fallback : α) : α"
isDeprecated := false
}
),"Std.TreeSet", "Std.TreeSet.getD", .declaration (Declaration.def {
name := `Std.TreeSet.getD
renderedStatement := "Std.TreeSet.getD.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) (a fallback : α) : α"
isDeprecated := false
}
),"Std.TreeSet.Raw", "Std.TreeSet.Raw.getD", .declaration (Declaration.def {
name := `Std.TreeSet.Raw.getD
renderedStatement := "Std.TreeSet.Raw.getD.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp) (a fallback : α) : α"
isDeprecated := false
}
),"Std.ExtTreeSet", "Std.ExtTreeSet.getD", .declaration (Declaration.def {
name := `Std.ExtTreeSet.getD
renderedStatement := "Std.ExtTreeSet.getD.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp] (t : Std.ExtTreeSet α cmp)\n (a fallback : α) : α"
isDeprecated := false
}
),]
metadata := {
status := .done
comment := ""
}
def «e23b1119-3b57-433e-a68d-68fd70b9943d» : AssociationTable.Fact .subexpression where
widgetId := "associative-query-operations"
factId := "e23b1119-3b57-433e-a68d-68fd70b9943d"
rowId := "e23b1119-3b57-433e-a68d-68fd70b9943d"
rowState := #["Std.DHashMap", "Std.DHashMap.get", .declaration (Declaration.def {
name := `Std.DHashMap.get
renderedStatement := "Std.DHashMap.get.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.DHashMap α β) (a : α) (h : a ∈ m) : β a"
isDeprecated := false
}
),"Std.DHashMap.Raw", "Std.DHashMap.Raw.Const.get", .declaration (Declaration.def {
name := `Std.DHashMap.Raw.Const.get
renderedStatement := "Std.DHashMap.Raw.Const.get.{u, v} {α : Type u} {β : Type v} [BEq α] [Hashable α] (m : Std.DHashMap.Raw α fun x => β)\n (a : α) (h : a ∈ m) : β"
isDeprecated := false
}
),"Std.ExtDHashMap", "Std.ExtDHashMap.get", .declaration (Declaration.def {
name := `Std.ExtDHashMap.get
renderedStatement := "Std.ExtDHashMap.get.{u, v} {α : Type u} {β : α → Type v} {x✝ : BEq α} {x✝¹ : Hashable α} [LawfulBEq α]\n (m : Std.ExtDHashMap α β) (a : α) (h : a ∈ m) : β a"
isDeprecated := false
}
),"Std.DTreeMap", "Std.DTreeMap.get", .declaration (Declaration.def {
name := `Std.DTreeMap.get
renderedStatement := "Std.DTreeMap.get.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap α β cmp) (a : α) (h : a ∈ t) : β a"
isDeprecated := false
}
),"Std.DTreeMap.Raw", "Std.DTreeMap.Raw.get", .declaration (Declaration.def {
name := `Std.DTreeMap.Raw.get
renderedStatement := "Std.DTreeMap.Raw.get.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.LawfulEqCmp cmp]\n (t : Std.DTreeMap.Raw α β cmp) (a : α) (h : a ∈ t) : β a"
isDeprecated := false
}
),"Std.ExtDTreeMap", "Std.ExtDTreeMap.get", .declaration (Declaration.def {
name := `Std.ExtDTreeMap.get
renderedStatement := "Std.ExtDTreeMap.get.{u, v} {α : Type u} {β : α → Type v} {cmp : αα → Ordering} [Std.TransCmp cmp]\n [Std.LawfulEqCmp cmp] (t : Std.ExtDTreeMap α β cmp) (a : α) (h : a ∈ t) : β a"
isDeprecated := false
}
),"Std.HashMap", "app (GetElem.getElem) (Std.HashMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (GetElem.getElem) (Std.HashMap*)", displayShort := "Std.HashMap[·]" },"Std.HashMap.Raw", "app (GetElem.getElem) (Std.HashMap.Raw*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (GetElem.getElem) (Std.HashMap.Raw*)", displayShort := "Std.HashMap.Raw[·]" },"Std.ExtHashMap", "app (GetElem.getElem) (Std.ExtHashMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (GetElem.getElem) (Std.ExtHashMap*)", displayShort := "Std.ExtHashMap[·]" },"Std.TreeMap", "app (GetElem.getElem) (Std.TreeMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (GetElem.getElem) (Std.TreeMap*)", displayShort := "Std.TreeMap[·]" },"Std.TreeMap.Raw", "app (GetElem.getElem) (Std.TreeMap.Raw*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (GetElem.getElem) (Std.TreeMap.Raw*)", displayShort := "Std.TreeMap.Raw[·]" },"Std.ExtTreeMap", "app (GetElem.getElem) (Std.ExtTreeMap*)", Grove.Framework.Subexpression.State.predicate
{ key := "app (GetElem.getElem) (Std.ExtTreeMap*)", displayShort := "Std.ExtTreeMap[·]" },"Std.HashSet", "Std.HashSet.get", .declaration (Declaration.def {
name := `Std.HashSet.get
renderedStatement := "Std.HashSet.get.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet α) (a : α) (h : a ∈ m) : α"
isDeprecated := false
}
),"Std.HashSet.Raw", "Std.HashSet.Raw.get", .declaration (Declaration.def {
name := `Std.HashSet.Raw.get
renderedStatement := "Std.HashSet.Raw.get.{u} {α : Type u} [BEq α] [Hashable α] (m : Std.HashSet.Raw α) (a : α) (h : a ∈ m) : α"
isDeprecated := false
}
),"Std.ExtHashSet", "Std.ExtHashSet.get", .declaration (Declaration.def {
name := `Std.ExtHashSet.get
renderedStatement := "Std.ExtHashSet.get.{u} {α : Type u} {x✝ : BEq α} {x✝¹ : Hashable α} [EquivBEq α] [LawfulHashable α]\n (m : Std.ExtHashSet α) (a : α) (h : a ∈ m) : α"
isDeprecated := false
}
),"Std.TreeSet", "Std.TreeSet.get", .declaration (Declaration.def {
name := `Std.TreeSet.get
renderedStatement := "Std.TreeSet.get.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet α cmp) (a : α) (h : a ∈ t) : α"
isDeprecated := false
}
),"Std.TreeSet.Raw", "Std.TreeSet.Raw.get", .declaration (Declaration.def {
name := `Std.TreeSet.Raw.get
renderedStatement := "Std.TreeSet.Raw.get.{u} {α : Type u} {cmp : αα → Ordering} (t : Std.TreeSet.Raw α cmp) (a : α) (h : a ∈ t) : α"
isDeprecated := false
}
),"Std.ExtTreeSet", "Std.ExtTreeSet.get", .declaration (Declaration.def {
name := `Std.ExtTreeSet.get
renderedStatement := "Std.ExtTreeSet.get.{u} {α : Type u} {cmp : αα → Ordering} [Std.TransCmp cmp] (t : Std.ExtTreeSet α cmp) (a : α)\n (h : a ∈ t) : α"
isDeprecated := false
}
),]
metadata := {
status := .bad
comment := "Should *Set have GetElem?"
}
def table : AssociationTable.Data .subexpression where
widgetId := "associative-query-operations"
rows := #[
"01f88623-fa5f-4380-9772-b30f2fec5c94", "isEmpty", #["Std.DHashMap", "Std.DHashMap.isEmpty","Std.DHashMap.Raw", "Std.DHashMap.Raw.isEmpty","Std.ExtDHashMap", "Std.ExtDHashMap.isEmpty","Std.DTreeMap", "Std.DTreeMap.isEmpty","Std.DTreeMap.Raw", "Std.DTreeMap.Raw.isEmpty","Std.ExtDTreeMap", "Std.ExtDTreeMap.isEmpty","Std.HashMap", "Std.HashMap.isEmpty","Std.HashMap.Raw", "Std.HashMap.Raw.isEmpty","Std.ExtHashMap", "Std.ExtHashMap.isEmpty","Std.TreeMap", "Std.TreeMap.isEmpty","Std.TreeMap.Raw", "Std.TreeMap.Raw.isEmpty","Std.ExtTreeMap", "Std.ExtTreeMap.isEmpty","Std.HashSet", "Std.HashSet.isEmpty","Std.HashSet.Raw", "Std.HashSet.Raw.isEmpty","Std.ExtHashSet", "Std.ExtHashSet.isEmpty","Std.TreeSet", "Std.TreeSet.isEmpty","Std.TreeSet.Raw", "Std.TreeSet.Raw.isEmpty","Std.ExtTreeSet", "Std.ExtTreeSet.isEmpty",],
"f084f852-af71-45b6-8ab3-d251a8144f72", "size", #["Std.DHashMap", "Std.DHashMap.size","Std.DHashMap.Raw", "Std.DHashMap.Raw.size","Std.ExtDHashMap", "Std.ExtDHashMap.size","Std.DTreeMap", "Std.DTreeMap.size","Std.DTreeMap.Raw", "Std.DTreeMap.Raw.size","Std.ExtDTreeMap", "Std.ExtDTreeMap.size","Std.HashMap", "Std.HashMap.size","Std.HashMap.Raw", "Std.HashMap.Raw.size","Std.ExtHashMap", "Std.ExtHashMap.size","Std.TreeMap", "Std.TreeMap.size","Std.TreeMap.Raw", "Std.TreeMap.Raw.size","Std.ExtTreeMap", "Std.ExtTreeMap.size","Std.HashSet", "Std.HashSet.size","Std.HashSet.Raw", "Std.HashSet.Raw.size","Std.ExtHashSet", "Std.ExtHashSet.size","Std.TreeSet", "Std.TreeSet.size","Std.TreeSet.Raw", "Std.TreeSet.Raw.size","Std.ExtTreeSet", "Std.ExtTreeSet.size",],
"f4e6fa70-5aed-439d-aaad-5f4ced65bf7b", "any", #["Std.DTreeMap", "Std.DTreeMap.any","Std.DTreeMap.Raw", "Std.DTreeMap.Raw.any","Std.ExtDTreeMap", "Std.ExtDTreeMap.any","Std.TreeMap", "Std.TreeMap.any","Std.TreeMap.Raw", "Std.TreeMap.Raw.any","Std.ExtTreeMap", "Std.ExtTreeMap.any","Std.HashSet", "Std.HashSet.any","Std.HashSet.Raw", "Std.HashSet.Raw.any","Std.TreeSet", "Std.TreeSet.any","Std.TreeSet.Raw", "Std.TreeSet.Raw.any","Std.ExtTreeSet", "Std.ExtTreeSet.any",],
"c1d181f6-3204-4956-946f-e81619f9feb4", "all", #["Std.DTreeMap", "Std.DTreeMap.all","Std.DTreeMap.Raw", "Std.DTreeMap.Raw.all","Std.ExtDTreeMap", "Std.ExtDTreeMap.all","Std.TreeMap", "Std.TreeMap.all","Std.TreeMap.Raw", "Std.TreeMap.Raw.all","Std.ExtTreeMap", "Std.ExtTreeMap.all","Std.HashSet", "Std.HashSet.all","Std.HashSet.Raw", "Std.HashSet.Raw.all","Std.TreeSet", "Std.TreeSet.all","Std.TreeSet.Raw", "Std.TreeSet.Raw.all","Std.ExtTreeSet", "Std.ExtTreeSet.all",],
"efe57f41-7db7-4303-b3a6-5216a70c43ce", "getD", #["Std.DHashMap", "Std.DHashMap.getD","Std.DHashMap.Raw", "Std.DHashMap.Raw.getD","Std.ExtDHashMap", "Std.ExtDHashMap.getD","Std.DTreeMap", "Std.DTreeMap.getD","Std.DTreeMap.Raw", "Std.DTreeMap.Raw.getD","Std.ExtDTreeMap", "Std.ExtDTreeMap.getD","Std.HashMap", "Std.HashMap.getD","Std.HashMap.Raw", "Std.HashMap.Raw.getD","Std.ExtHashMap", "Std.ExtHashMap.getD","Std.TreeMap", "Std.TreeMap.getD","Std.TreeMap.Raw", "Std.TreeMap.Raw.getD","Std.ExtTreeMap", "Std.ExtTreeMap.getD","Std.HashSet", "Std.HashSet.getD","Std.HashSet.Raw", "Std.HashSet.Raw.getD","Std.ExtHashSet", "Std.ExtHashSet.getD","Std.TreeSet", "Std.TreeSet.getD","Std.TreeSet.Raw", "Std.TreeSet.Raw.getD","Std.ExtTreeSet", "Std.ExtTreeSet.getD",],
"e23b1119-3b57-433e-a68d-68fd70b9943d", "getElem", #["Std.DHashMap", "Std.DHashMap.get","Std.DHashMap.Raw", "Std.DHashMap.Raw.Const.get","Std.ExtDHashMap", "Std.ExtDHashMap.get","Std.DTreeMap", "Std.DTreeMap.get","Std.DTreeMap.Raw", "Std.DTreeMap.Raw.get","Std.ExtDTreeMap", "Std.ExtDTreeMap.get","Std.HashMap", "app (GetElem.getElem) (Std.HashMap*)","Std.HashMap.Raw", "app (GetElem.getElem) (Std.HashMap.Raw*)","Std.ExtHashMap", "app (GetElem.getElem) (Std.ExtHashMap*)","Std.TreeMap", "app (GetElem.getElem) (Std.TreeMap*)","Std.TreeMap.Raw", "app (GetElem.getElem) (Std.TreeMap.Raw*)","Std.ExtTreeMap", "app (GetElem.getElem) (Std.ExtTreeMap*)","Std.HashSet", "Std.HashSet.get","Std.HashSet.Raw", "Std.HashSet.Raw.get","Std.ExtHashSet", "Std.ExtHashSet.get","Std.TreeSet", "Std.TreeSet.get","Std.TreeSet.Raw", "Std.TreeSet.Raw.get","Std.ExtTreeSet", "Std.ExtTreeSet.get",],
]
facts := #[
«01f88623-fa5f-4380-9772-b30f2fec5c94»,
«f084f852-af71-45b6-8ab3-d251a8144f72»,
«f4e6fa70-5aed-439d-aaad-5f4ced65bf7b»,
«c1d181f6-3204-4956-946f-e81619f9feb4»,
«efe57f41-7db7-4303-b3a6-5216a70c43ce»,
«e23b1119-3b57-433e-a68d-68fd70b9943d»,
]
def restoreState : RestoreStateM Unit := do
addAssociationTable table

View File

@@ -1,31 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import GroveStdlib.Std.CoreTypesAndOperations
import GroveStdlib.Std.LanguageConstructs
import GroveStdlib.Std.Libraries
import GroveStdlib.Std.OperatingSystemAbstractions
open Grove.Framework Widget
namespace GroveStdlib
namespace Std
def introduction : Node :=
.text "Welcome to the interactive Lean standard library outline!"
end Std
def std : Node :=
.section "stdlib" "The Lean standard library" #[
Std.introduction,
Std.coreTypesAndOperations,
Std.languageConstructs,
Std.libraries,
Std.operatingSystemAbstractions
]
end GroveStdlib

View File

@@ -1,28 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
import GroveStdlib.Std.CoreTypesAndOperations.BasicTypes
import GroveStdlib.Std.CoreTypesAndOperations.Containers
import GroveStdlib.Std.CoreTypesAndOperations.Numbers
import GroveStdlib.Std.CoreTypesAndOperations.StringsAndFormatting
open Grove.Framework Widget
namespace GroveStdlib.Std
namespace CoreTypesAndOperations
end CoreTypesAndOperations
def coreTypesAndOperations : Node :=
.section "core-types-and-operations" "Core types and operations" #[
CoreTypesAndOperations.basicTypes,
CoreTypesAndOperations.containers,
CoreTypesAndOperations.numbers,
CoreTypesAndOperations.stringsAndFormatting
]
end GroveStdlib.Std

View File

@@ -1,19 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
open Grove.Framework Widget
namespace GroveStdlib.Std.CoreTypesAndOperations
namespace BasicTypes
end BasicTypes
def basicTypes : Node :=
.section "basic-types" "Basic types" #[]
end GroveStdlib.Std.CoreTypesAndOperations

View File

@@ -1,58 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
open Grove.Framework Widget
namespace GroveStdlib.Std.CoreTypesAndOperations
namespace Containers
namespace SequentialContainers
end SequentialContainers
def sequentialContainers : Node :=
.section "sequential-containers" "Sequential containers" #[]
namespace AssociativeContainers
def associativeQueryOperations : AssociationTable .subexpression
[`Std.DHashMap, `Std.DHashMap.Raw, `Std.ExtDHashMap, `Std.DTreeMap, `Std.DTreeMap.Raw, `Std.ExtDTreeMap, `Std.HashMap,
`Std.HashMap.Raw, `Std.ExtHashMap, `Std.TreeMap, `Std.TreeMap.Raw, `Std.ExtTreeMap, `Std.HashSet, `Std.HashSet.Raw, `Std.ExtHashSet,
`Std.TreeSet, `Std.TreeSet.Raw, `Std.ExtTreeSet] where
id := "associative-query-operations"
title := "Associative query operations"
description := "Operations that take as input an associative container and return a 'single' piece of information (e.g., `GetElem` or `isEmpty`, but not `toList`)."
dataSources n :=
(DataSource.declarationsInNamespace n .definitionsOnly)
|>.map Subexpression.declaration
|>.or (DataSource.getElem n)
end AssociativeContainers
def associativeContainers : Node :=
.section "associative-containers" "Associative containers" #[
.associationTable AssociativeContainers.associativeQueryOperations
]
namespace PersistentDataStructures
end PersistentDataStructures
def persistentDataStructures : Node :=
.section "persistent-data-structures" "Persistent data structures" #[]
end Containers
def containers : Node :=
.section "containers" "Containers" #[
Containers.sequentialContainers,
Containers.associativeContainers,
Containers.persistentDataStructures
]
end GroveStdlib.Std.CoreTypesAndOperations

View File

@@ -1,19 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
open Grove.Framework Widget
namespace GroveStdlib.Std.CoreTypesAndOperations
namespace Numbers
end Numbers
def numbers : Node :=
.section "numbers" "Numbers" #[]
end GroveStdlib.Std.CoreTypesAndOperations

View File

@@ -1,19 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
open Grove.Framework Widget
namespace GroveStdlib.Std.CoreTypesAndOperations
namespace StringsAndFormatting
end StringsAndFormatting
def stringsAndFormatting : Node :=
.section "strings-and-formatting" "Strings and formatting" #[]
end GroveStdlib.Std.CoreTypesAndOperations

View File

@@ -1,26 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
import GroveStdlib.Std.LanguageConstructs.ComparisonOrderingHashing
import GroveStdlib.Std.LanguageConstructs.Monads
import GroveStdlib.Std.LanguageConstructs.RangesAndIterators
open Grove.Framework Widget
namespace GroveStdlib.Std
namespace LanguageConstructs
end LanguageConstructs
def languageConstructs : Node :=
.section "language-constructs" "Language constructs" #[
LanguageConstructs.comparisonOrderingHashing,
LanguageConstructs.monads,
LanguageConstructs.rangesAndIterators
]
end GroveStdlib.Std

View File

@@ -1,19 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
open Grove.Framework Widget
namespace GroveStdlib.Std.LanguageConstructs
namespace ComparisonOrderingHashing
end ComparisonOrderingHashing
def comparisonOrderingHashing : Node :=
.section "comparison-ordering-hashing" "Comparison, ordering, hashing" #[]
end GroveStdlib.Std.LanguageConstructs

View File

@@ -1,19 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
open Grove.Framework Widget
namespace GroveStdlib.Std.LanguageConstructs
namespace Monads
end Monads
def monads : Node :=
.section "monads" "Monads" #[]
end GroveStdlib.Std.LanguageConstructs

View File

@@ -1,19 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
open Grove.Framework Widget
namespace GroveStdlib.Std.LanguageConstructs
namespace RangesAndIterators
end RangesAndIterators
def rangesAndIterators : Node :=
.section "ranges-and-iterators" "Ranges and iterators" #[]
end GroveStdlib.Std.LanguageConstructs

View File

@@ -1,24 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
import GroveStdlib.Std.Libraries.DateAndTime
import GroveStdlib.Std.Libraries.RandomNumbers
open Grove.Framework Widget
namespace GroveStdlib.Std
namespace Libraries
end Libraries
def libraries : Node :=
.section "libraries" "Libraries" #[
Libraries.dateAndTime,
Libraries.randomNumbers
]
end GroveStdlib.Std

View File

@@ -1,19 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
open Grove.Framework Widget
namespace GroveStdlib.Std.Libraries
namespace DateAndTime
end DateAndTime
def dateAndTime : Node :=
.section "date-and-time" "Date and time" #[]
end GroveStdlib.Std.Libraries

View File

@@ -1,19 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
open Grove.Framework Widget
namespace GroveStdlib.Std.Libraries
namespace RandomNumbers
end RandomNumbers
def randomNumbers : Node :=
.section "random-numbers" "Random numbers" #[]
end GroveStdlib.Std.Libraries

View File

@@ -1,30 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
import GroveStdlib.Std.OperatingSystemAbstractions.AsynchronousIO
import GroveStdlib.Std.OperatingSystemAbstractions.BasicIO
import GroveStdlib.Std.OperatingSystemAbstractions.ConcurrencyAndParallelism
import GroveStdlib.Std.OperatingSystemAbstractions.EnvironmentFileSystemProcesses
import GroveStdlib.Std.OperatingSystemAbstractions.Locales
open Grove.Framework Widget
namespace GroveStdlib.Std
namespace OperatingSystemAbstractions
end OperatingSystemAbstractions
def operatingSystemAbstractions : Node :=
.section "operating-system-abstractions" "Operating system abstractions" #[
OperatingSystemAbstractions.asynchronousIO,
OperatingSystemAbstractions.basicIO,
OperatingSystemAbstractions.concurrencyAndParallelism,
OperatingSystemAbstractions.environmentFileSystemProcesses,
OperatingSystemAbstractions.locales
]
end GroveStdlib.Std

View File

@@ -1,19 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
open Grove.Framework Widget
namespace GroveStdlib.Std.OperatingSystemAbstractions
namespace AsynchronousIO
end AsynchronousIO
def asynchronousIO : Node :=
.section "asynchronous-io" "Asynchronous I/O" #[]
end GroveStdlib.Std.OperatingSystemAbstractions

View File

@@ -1,19 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
open Grove.Framework Widget
namespace GroveStdlib.Std.OperatingSystemAbstractions
namespace BasicIO
end BasicIO
def basicIO : Node :=
.section "basic-io" "Basic I/O" #[]
end GroveStdlib.Std.OperatingSystemAbstractions

View File

@@ -1,19 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
open Grove.Framework Widget
namespace GroveStdlib.Std.OperatingSystemAbstractions
namespace ConcurrencyAndParallelism
end ConcurrencyAndParallelism
def concurrencyAndParallelism : Node :=
.section "concurrency-and-parallelism" "Concurrency and parallelism" #[]
end GroveStdlib.Std.OperatingSystemAbstractions

View File

@@ -1,19 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
open Grove.Framework Widget
namespace GroveStdlib.Std.OperatingSystemAbstractions
namespace EnvironmentFileSystemProcesses
end EnvironmentFileSystemProcesses
def environmentFileSystemProcesses : Node :=
.section "environment-filesystem-processes" "Environment, file system, processes" #[]
end GroveStdlib.Std.OperatingSystemAbstractions

View File

@@ -1,19 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Grove.Framework
open Grove.Framework Widget
namespace GroveStdlib.Std.OperatingSystemAbstractions
namespace Locales
end Locales
def locales : Node :=
.section "locales" "Locales" #[]
end GroveStdlib.Std.OperatingSystemAbstractions

View File

@@ -1,18 +0,0 @@
/-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import GroveStdlib.Std
import GroveStdlib.Generated
def config : Grove.Framework.Project.Configuration where
projectNamespace := `GroveStdlib
def project : Grove.Framework.Project where
config := config
rootNode := GroveStdlib.std
restoreState := GroveStdlib.Generated.restoreState
def main (args : List String) : IO UInt32 :=
Grove.Framework.main project #[`Init, `Std, `Lean] args

View File

@@ -1,3 +0,0 @@
# Standard library QA
This directory contains the [Grove](github.com/TwoFX/grove) data files for the standard library.

View File

@@ -1,10 +0,0 @@
#!/bin/sh
lake exe grove-stdlib --full metadata.json
cd .lake/packages/grove/frontend
npm install
if [ -f "../../../../invalidated.json" ]; then
GROVE_DATA_LOCATION=../../../../metadata.json GROVE_UPSTREAM_INVALIDATED_FACTS_LOCATION=../../../../invalidated.json npm run dev
else
GROVE_DATA_LOCATION=../../../../metadata.json npm run dev
fi

View File

@@ -1,25 +0,0 @@
{"version": "1.1.0",
"packagesDir": ".lake/packages",
"packages":
[{"url": "https://github.com/TwoFx/grove.git",
"type": "git",
"subDir": "backend",
"scope": "",
"rev": "e8127fc6554b99fb988ecdceb770a5e112afbe24",
"name": "grove",
"manifestFile": "lake-manifest.json",
"inputRev": "master",
"inherited": false,
"configFile": "lakefile.toml"},
{"url": "https://github.com/leanprover/lean4-cli",
"type": "git",
"subDir": null,
"scope": "leanprover",
"rev": "1604206fcd0462da9a241beeac0e2df471647435",
"name": "Cli",
"manifestFile": "lake-manifest.json",
"inputRev": "main",
"inherited": true,
"configFile": "lakefile.toml"}],
"name": "grovestdlib",
"lakeDir": ".lake"}

View File

@@ -1,18 +0,0 @@
name = "grovestdlib"
version = "0.1.0"
defaultTargets = ["grove-stdlib"]
[[require]]
name = "grove"
git = "https://github.com/TwoFx/grove.git"
rev = "master"
subDir = "backend"
[[lean_lib]]
name = "GroveStdlib"
root = "GroveStdlib"
[[lean_exe]]
name = "grove-stdlib"
supportInterpreter = true
root = "Main"

View File

@@ -1 +0,0 @@
lean4

View File

@@ -1,3 +0,0 @@
#!/bin/sh
lake exe grove-stdlib --invalidated invalidated.json

View File

@@ -1,9 +0,0 @@
#!/usr/bin/env bash
set -euo pipefail
# We benchmark against stage 2 to test new optimizations.
timeout -s KILL 1h time bash -c 'mkdir -p build/release; cd build/release; cmake ../.. && make -j$(nproc) stage2' 1>&2
export PATH=$PWD/build/release/stage2/bin:$PATH
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

View File

@@ -5,11 +5,8 @@ set -euo pipefail
[ $# -eq 1 ] || (echo "usage: $0 <lean4 PR #>"; exit 1)
echo "Warning: the speedcenter is probably not listening on mathlib4-nightly-testing yet."
echo "If you're using this script, please contact @kim-em or @Kha to get this set up, and then remove this notice."
LEAN_PR=$1
PR_RESPONSE=$(gh api repos/leanprover-community/mathlib4-nightly-testing/pulls -X POST -f head=lean-pr-testing-$LEAN_PR -f base=nightly-testing -f title="leanprover/lean4#$LEAN_PR benchmarking" -f draft=true -f body="ignore me")
PR_RESPONSE=$(gh api repos/leanprover-community/mathlib4/pulls -X POST -f head=lean-pr-testing-$LEAN_PR -f base=nightly-testing -f title="leanprover/lean4#$LEAN_PR benchmarking" -f draft=true -f body="ignore me")
PR_NUMBER=$(echo "$PR_RESPONSE" | jq '.number')
echo "opened https://github.com/leanprover-community/mathlib4-nightly-testing/pull/$PR_NUMBER"
gh api repos/leanprover-community/mathlib4-nightly-testing/issues/$PR_NUMBER/comments -X POST -f body="!bench" > /dev/null
echo "opened https://github.com/leanprover-community/mathlib4/pull/$PR_NUMBER"
gh api repos/leanprover-community/mathlib4/issues/$PR_NUMBER/comments -X POST -f body="!bench" > /dev/null

View File

@@ -50,4 +50,5 @@ echo -n " -DLEANC_INTERNAL_LINKER_FLAGS='--sysroot ROOT -L ROOT/lib -Wl,-Bstatic
# when not using the above flags, link GMP dynamically/as usual. Always link ICU dynamically.
echo -n " -DLEAN_EXTRA_LINKER_FLAGS='-lgmp $(pkg-config --libs libuv) -lucrtbase'"
# do not set `LEAN_CC` for tests
echo -n " -DAUTO_THREAD_FINALIZATION=OFF -DSTAGE0_AUTO_THREAD_FINALIZATION=OFF"
echo -n " -DLEAN_TEST_VARS=''"

View File

@@ -53,23 +53,6 @@ def tag_exists(repo_url, tag_name, github_token):
matching_tags = response.json()
return any(tag["ref"] == f"refs/tags/{tag_name}" for tag in matching_tags)
def commit_hash_for_tag(repo_url, tag_name, github_token):
# Use /git/matching-refs/tags/ to get all matching tags
api_url = repo_url.replace("https://github.com/", "https://api.github.com/repos/") + f"/git/matching-refs/tags/{tag_name}"
headers = {'Authorization': f'token {github_token}'} if github_token else {}
response = requests.get(api_url, headers=headers)
if response.status_code != 200:
return False
# Check if any of the returned refs exactly match our tag
matching_tags = response.json()
matching_commits = [tag["object"]["sha"] for tag in matching_tags if tag["ref"] == f"refs/tags/{tag_name}"]
if len(matching_commits) != 1:
return None
else:
return matching_commits[0]
def release_page_exists(repo_url, tag_name, github_token):
api_url = repo_url.replace("https://github.com/", "https://api.github.com/repos/") + f"/releases/tags/{tag_name}"
headers = {'Authorization': f'token {github_token}'} if github_token else {}
@@ -303,14 +286,6 @@ def main():
lean4_success = False
else:
print(f" ✅ Tag {toolchain} exists")
commit_hash = commit_hash_for_tag(lean_repo_url, toolchain, github_token)
SHORT_HASH_LENGTH = 7 # Lake abbreviates the Lean commit to 7 characters.
if commit_hash is None:
print(f" ❌ Could not resolve tag {toolchain} to a commit.")
lean4_success = False
elif commit_hash[0] == '0' and commit_hash[:SHORT_HASH_LENGTH].isnumeric():
print(f" ❌ Short commit hash {commit_hash[:SHORT_HASH_LENGTH]} is numeric and starts with 0, causing issues for version parsing. Try regenerating the last commit to get a new hash.")
lean4_success = False
if not release_page_exists(lean_repo_url, toolchain, github_token):
print(f" ❌ Release page for {toolchain} does not exist")

View File

@@ -94,7 +94,6 @@ def generate_script(repo, version, config):
"echo 'This repo has nightly-testing infrastructure'",
f"git merge origin/bump/{version.split('-rc')[0]}",
"echo 'Please resolve any conflicts.'",
"grep nightly-testing lakefile.* && echo 'Please ensure the lakefile does not include nightly-testing versions.'",
""
])
if re.search(r'rc\d+$', version) and repo_name in ["verso", "reference-manual"]:

View File

@@ -10,7 +10,7 @@ endif()
include(ExternalProject)
project(LEAN CXX C)
set(LEAN_VERSION_MAJOR 4)
set(LEAN_VERSION_MINOR 22)
set(LEAN_VERSION_MINOR 21)
set(LEAN_VERSION_PATCH 0)
set(LEAN_VERSION_IS_RELEASE 0) # This number is 1 in the release revision, and 0 otherwise.
set(LEAN_SPECIAL_VERSION_DESC "" CACHE STRING "Additional version description like 'nightly-2018-03-11'")
@@ -58,6 +58,9 @@ option(USE_GITHASH "GIT_HASH" ON)
option(INSTALL_LICENSE "INSTALL_LICENSE" ON)
# When ON we install a copy of cadical
option(INSTALL_CADICAL "Install a copy of cadical" ON)
# When ON thread storage is automatically finalized, it assumes platform support pthreads.
# This option is important when using Lean as library that is invoked from a different programming language (e.g., Haskell).
option(AUTO_THREAD_FINALIZATION "AUTO_THREAD_FINALIZATION" ON)
# FLAGS for disabling optimizations and debugging
option(FREE_VAR_RANGE_OPT "FREE_VAR_RANGE_OPT" ON)
@@ -179,6 +182,10 @@ else()
string(APPEND LEAN_EXTRA_CXX_FLAGS " -D LEAN_MULTI_THREAD")
endif()
if(AUTO_THREAD_FINALIZATION AND NOT MSVC)
string(APPEND LEAN_EXTRA_CXX_FLAGS " -D LEAN_AUTO_THREAD_FINALIZATION")
endif()
# Set Module Path
set(CMAKE_MODULE_PATH ${CMAKE_MODULE_PATH} "${CMAKE_SOURCE_DIR}/cmake/Modules")

View File

@@ -6,41 +6,40 @@ Authors: Leonardo de Moura
module
prelude
public import Init.Prelude
public import Init.Notation
public import Init.Tactics
public import Init.TacticsExtra
public import Init.ByCases
public import Init.RCases
public import Init.Core
public import Init.Control
public import Init.Data.Basic
public import Init.WF
public import Init.WFTactics
public import Init.Data
public import Init.System
public import Init.Util
public import Init.Dynamic
public import Init.ShareCommon
public import Init.MetaTypes
public import Init.Meta
public import Init.NotationExtra
public import Init.SimpLemmas
public import Init.PropLemmas
public import Init.Hints
public import Init.Conv
public import Init.Guard
public import Init.Simproc
public import Init.SizeOfLemmas
public import Init.BinderPredicates
public import Init.Ext
public import Init.Omega
public import Init.MacroTrace
public import Init.Grind
public import Init.GrindInstances
public import Init.While
public import Init.Syntax
public import Init.Internal
public import Init.Try
public import Init.BinderNameHint
public import Init.Task
import Init.Prelude
import Init.Notation
import Init.Tactics
import Init.TacticsExtra
import Init.ByCases
import Init.RCases
import Init.Core
import Init.Control
import Init.Data.Basic
import Init.WF
import Init.WFTactics
import Init.Data
import Init.System
import Init.Util
import Init.Dynamic
import Init.ShareCommon
import Init.MetaTypes
import Init.Meta
import Init.NotationExtra
import Init.SimpLemmas
import Init.PropLemmas
import Init.Hints
import Init.Conv
import Init.Guard
import Init.Simproc
import Init.SizeOfLemmas
import Init.BinderPredicates
import Init.Ext
import Init.Omega
import Init.MacroTrace
import Init.Grind
import Init.While
import Init.Syntax
import Init.Internal
import Init.Try
import Init.BinderNameHint
import Init.Task

View File

@@ -7,10 +7,8 @@ Authors: Joachim Breitner
module
prelude
public import Init.Prelude
public import Init.Tactics
public section
import Init.Prelude
import Init.Tactics
set_option linter.unusedVariables false in
/--

View File

@@ -6,9 +6,7 @@ Authors: Gabriel Ebner
module
prelude
public import Init.NotationExtra
public section
import Init.NotationExtra
namespace Lean

View File

@@ -6,9 +6,7 @@ Authors: Leonardo de Moura, Mario Carneiro
module
prelude
public import Init.Classical
public section
import Init.Classical
/-! # by_cases tactic and if-then-else support -/

View File

@@ -6,9 +6,7 @@ Authors: Leonardo de Moura, Mario Carneiro
module
prelude
public import Init.PropLemmas
public section
import Init.PropLemmas
universe u v
@@ -47,7 +45,7 @@ theorem em (p : Prop) : p ¬p :=
| Or.inr h, _ => Or.inr h
| _, Or.inr h => Or.inr h
| Or.inl hut, Or.inl hvf =>
have hne : u v := by simp [hvf, hut]
have hne : u v := by simp [hvf, hut, true_ne_false]
Or.inl hne
have p_implies_uv : p u = v :=
fun hp =>

View File

@@ -6,10 +6,7 @@ Authors: Leonardo de Moura, Mario Carneiro
module
prelude
public import Init.Prelude
public meta import Init.Prelude
public section
import Init.Prelude
set_option linter.missingDocs true -- keep it documented
/-!

View File

@@ -6,15 +6,13 @@ Authors: Leonardo de Moura
module
prelude
public import Init.Control.Basic
public import Init.Control.State
public import Init.Control.StateRef
public import Init.Control.Id
public import Init.Control.Except
public import Init.Control.Reader
public import Init.Control.Option
public import Init.Control.Lawful
public import Init.Control.StateCps
public import Init.Control.ExceptCps
public section
import Init.Control.Basic
import Init.Control.State
import Init.Control.StateRef
import Init.Control.Id
import Init.Control.Except
import Init.Control.Reader
import Init.Control.Option
import Init.Control.Lawful
import Init.Control.StateCps
import Init.Control.ExceptCps

View File

@@ -6,10 +6,8 @@ Author: Leonardo de Moura, Sebastian Ullrich
module
prelude
public import Init.Core
public import Init.BinderNameHint
public section
import Init.Core
import Init.BinderNameHint
universe u v w
@@ -51,7 +49,7 @@ abbrev forIn_eq_forin' := @forIn_eq_forIn'
/--
Extracts the value from a `ForInStep`, ignoring whether it is `ForInStep.done` or `ForInStep.yield`.
-/
@[expose] def ForInStep.value (x : ForInStep α) : α :=
def ForInStep.value (x : ForInStep α) : α :=
match x with
| ForInStep.done b => b
| ForInStep.yield b => b

View File

@@ -6,11 +6,9 @@ Authors: Leonardo de Moura
module
prelude
public import Init.Control.State
public import Init.Control.Except
public import Init.Data.ToString.Basic
public section
import Init.Control.State
import Init.Control.Except
import Init.Data.ToString.Basic
universe u v
namespace EStateM

View File

@@ -8,11 +8,9 @@ The Except monad transformer.
module
prelude
public import Init.Control.Basic
public import Init.Control.Id
public import Init.Coe
public section
import Init.Control.Basic
import Init.Control.Id
import Init.Coe
namespace Except
variable {ε : Type u}
@@ -138,7 +136,7 @@ may throw the corresponding exception.
This is the inverse of `ExceptT.run`.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
def ExceptT.mk {ε : Type u} {m : Type u Type v} {α : Type u} (x : m (Except ε α)) : ExceptT ε m α := x
/--
@@ -146,7 +144,7 @@ Use a monadic action that may throw an exception as an action that may return an
This is the inverse of `ExceptT.mk`.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
def ExceptT.run {ε : Type u} {m : Type u Type v} {α : Type u} (x : ExceptT ε m α) : m (Except ε α) := x
namespace ExceptT
@@ -156,14 +154,14 @@ variable {ε : Type u} {m : Type u → Type v} [Monad m]
/--
Returns the value `a` without throwing exceptions or having any other effect.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
protected def pure {α : Type u} (a : α) : ExceptT ε m α :=
ExceptT.mk <| pure (Except.ok a)
/--
Handles exceptions thrown by an action that can have no effects _other_ than throwing exceptions.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
protected def bindCont {α β : Type u} (f : α ExceptT ε m β) : Except ε α m (Except ε β)
| Except.ok a => f a
| Except.error e => pure (Except.error e)
@@ -172,14 +170,14 @@ protected def bindCont {α β : Type u} (f : α → ExceptT ε m β) : Except ε
Sequences two actions that may throw exceptions. Typically used via `do`-notation or the `>>=`
operator.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
protected def bind {α β : Type u} (ma : ExceptT ε m α) (f : α ExceptT ε m β) : ExceptT ε m β :=
ExceptT.mk <| ma >>= ExceptT.bindCont f
/--
Transforms a successful computation's value using `f`. Typically used via the `<$>` operator.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
protected def map {α β : Type u} (f : α β) (x : ExceptT ε m α) : ExceptT ε m β :=
ExceptT.mk <| x >>= fun a => match a with
| (Except.ok a) => pure <| Except.ok (f a)
@@ -188,7 +186,7 @@ protected def map {α β : Type u} (f : α → β) (x : ExceptT ε m α) : Excep
/--
Runs a computation from an underlying monad in the transformed monad with exceptions.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
protected def lift {α : Type u} (t : m α) : ExceptT ε m α :=
ExceptT.mk <| Except.ok <$> t
@@ -199,7 +197,7 @@ instance : MonadLift m (ExceptT ε m) := ⟨ExceptT.lift⟩
/--
Handles exceptions produced in the `ExceptT ε` transformer.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
protected def tryCatch {α : Type u} (ma : ExceptT ε m α) (handle : ε ExceptT ε m α) : ExceptT ε m α :=
ExceptT.mk <| ma >>= fun res => match res with
| Except.ok a => pure (Except.ok a)

View File

@@ -6,9 +6,7 @@ Authors: Leonardo de Moura
module
prelude
public import Init.Control.Lawful.Basic
public section
import Init.Control.Lawful.Basic
/-!
The Exception monad transformer using CPS style.
@@ -27,7 +25,7 @@ namespace ExceptCpsT
/--
Use a monadic action that may throw an exception as an action that may return an exception's value.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
def run {ε α : Type u} [Monad m] (x : ExceptCpsT ε m α) : m (Except ε α) :=
x _ (fun a => pure (Except.ok a)) (fun e => pure (Except.error e))
@@ -45,7 +43,7 @@ Returns the value of a computation, forgetting whether it was an exception or a
This corresponds to early return.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
def runCatch [Monad m] (x : ExceptCpsT α m α) : m α :=
x α pure pure
@@ -65,7 +63,7 @@ instance : MonadExceptOf ε (ExceptCpsT ε m) where
/--
Run an action from the transformed monad in the exception monad.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
def lift [Monad m] (x : m α) : ExceptCpsT ε m α :=
fun _ k _ => x >>= k

View File

@@ -8,9 +8,7 @@ The identity Monad.
module
prelude
public import Init.Core
public section
import Init.Core
universe u
@@ -64,7 +62,4 @@ protected def run (x : Id α) : α := x
instance [OfNat α n] : OfNat (Id α) n :=
inferInstanceAs (OfNat α n)
instance {m : Type u Type v} [Pure m] : MonadLiftT Id m where
monadLift x := pure x.run
end Id

View File

@@ -6,9 +6,6 @@ Authors: Sebastian Ullrich, Leonardo de Moura, Mario Carneiro
module
prelude
public import Init.Control.Lawful.Basic
public import Init.Control.Lawful.Instances
public import Init.Control.Lawful.Lemmas
public import Init.Control.Lawful.MonadLift
public section
import Init.Control.Lawful.Basic
import Init.Control.Lawful.Instances
import Init.Control.Lawful.Lemmas

View File

@@ -6,11 +6,9 @@ Authors: Sebastian Ullrich, Leonardo de Moura, Mario Carneiro
module
prelude
public import Init.Ext
public import Init.SimpLemmas
public import Init.Meta
public section
import Init.Ext
import Init.SimpLemmas
import Init.Meta
open Function
@@ -52,7 +50,7 @@ attribute [simp] id_map
(comp_map _ _ _).symm
theorem Functor.map_unit [Functor f] [LawfulFunctor f] {a : f PUnit} : (fun _ => PUnit.unit) <$> a = a := by
simp
simp [map]
/--
An applicative functor satisfies the laws of an applicative functor.
@@ -150,7 +148,7 @@ attribute [simp] pure_bind bind_assoc bind_pure_comp
attribute [grind] pure_bind
@[simp] theorem bind_pure [Monad m] [LawfulMonad m] (x : m α) : x >>= pure = x := by
change x >>= (fun a => pure (id a)) = x
show x >>= (fun a => pure (id a)) = x
rw [bind_pure_comp, id_map]
/--

View File

@@ -6,13 +6,11 @@ Authors: Sebastian Ullrich, Leonardo de Moura, Mario Carneiro
module
prelude
public import Init.Control.Lawful.Basic
public import all Init.Control.Except
public import all Init.Control.State
public import Init.Control.StateRef
public import Init.Ext
public section
import Init.Control.Lawful.Basic
import all Init.Control.Except
import all Init.Control.State
import Init.Control.StateRef
import Init.Ext
open Function
@@ -60,7 +58,7 @@ protected theorem bind_pure_comp [Monad m] (f : α → β) (x : ExceptT ε m α)
intros; rfl
protected theorem seqLeft_eq {α β ε : Type u} {m : Type u Type v} [Monad m] [LawfulMonad m] (x : ExceptT ε m α) (y : ExceptT ε m β) : x <* y = const β <$> x <*> y := by
change (x >>= fun a => y >>= fun _ => pure a) = (const (α := α) β <$> x) >>= fun f => f <$> y
show (x >>= fun a => y >>= fun _ => pure a) = (const (α := α) β <$> x) >>= fun f => f <$> y
rw [ ExceptT.bind_pure_comp]
apply ext
simp [run_bind]
@@ -69,10 +67,10 @@ protected theorem seqLeft_eq {α β ε : Type u} {m : Type u → Type v} [Monad
| Except.error _ => simp
| Except.ok _ =>
simp [bind_pure_comp]; apply bind_congr; intro b;
cases b <;> simp [Except.map, const]
cases b <;> simp [comp, Except.map, const]
protected theorem seqRight_eq [Monad m] [LawfulMonad m] (x : ExceptT ε m α) (y : ExceptT ε m β) : x *> y = const α id <$> x <*> y := by
change (x >>= fun _ => y) = (const α id <$> x) >>= fun f => f <$> y
show (x >>= fun _ => y) = (const α id <$> x) >>= fun f => f <$> y
rw [ ExceptT.bind_pure_comp]
apply ext
simp [run_bind]
@@ -208,15 +206,15 @@ theorem run_bind_lift {α σ : Type u} [Monad m] [LawfulMonad m] (x : m α) (f :
(monadMap @f x : StateT σ m α).run s = monadMap @f (x.run s) := rfl
@[simp] theorem run_seq {α β σ : Type u} [Monad m] [LawfulMonad m] (f : StateT σ m (α β)) (x : StateT σ m α) (s : σ) : (f <*> x).run s = (f.run s >>= fun fs => (fun (p : α × σ) => (fs.1 p.1, p.2)) <$> x.run fs.2) := by
change (f >>= fun g => g <$> x).run s = _
show (f >>= fun g => g <$> x).run s = _
simp
@[simp] theorem run_seqRight [Monad m] (x : StateT σ m α) (y : StateT σ m β) (s : σ) : (x *> y).run s = (x.run s >>= fun p => y.run p.2) := by
change (x >>= fun _ => y).run s = _
show (x >>= fun _ => y).run s = _
simp
@[simp] theorem run_seqLeft {α β σ : Type u} [Monad m] (x : StateT σ m α) (y : StateT σ m β) (s : σ) : (x <* y).run s = (x.run s >>= fun p => y.run p.2 >>= fun p' => pure (p.1, p'.2)) := by
change (x >>= fun a => y >>= fun _ => pure a).run s = _
show (x >>= fun a => y >>= fun _ => pure a).run s = _
simp
theorem seqRight_eq [Monad m] [LawfulMonad m] (x : StateT σ m α) (y : StateT σ m β) : x *> y = const α id <$> x <*> y := by

View File

@@ -6,11 +6,9 @@ Authors: Kim Morrison
module
prelude
public import Init.Control.Lawful.Basic
public import Init.RCases
public import Init.ByCases
public section
import Init.Control.Lawful.Basic
import Init.RCases
import Init.ByCases
-- Mapping by a function with a left inverse is injective.
theorem map_inj_of_left_inverse [Functor m] [LawfulFunctor m] {f : α β}

View File

@@ -1,13 +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.Control.Lawful.MonadLift.Basic
public import Init.Control.Lawful.MonadLift.Lemmas
public import Init.Control.Lawful.MonadLift.Instances
public section

View File

@@ -1,54 +0,0 @@
/-
Copyright (c) 2025 Quang Dao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Quang Dao
-/
module
prelude
public import Init.Control.Basic
public section
/-!
# LawfulMonadLift and LawfulMonadLiftT
This module provides classes asserting that `MonadLift` and `MonadLiftT` are lawful, which means
that `monadLift` is compatible with `pure` and `bind`.
-/
section MonadLift
/-- The `MonadLift` typeclass only contains the lifting operation. `LawfulMonadLift` further
asserts that lifting commutes with `pure` and `bind`:
```
monadLift (pure a) = pure a
monadLift (ma >>= f) = monadLift ma >>= monadLift ∘ f
```
-/
class LawfulMonadLift (m : semiOutParam (Type u Type v)) (n : Type u Type w)
[Monad m] [Monad n] [inst : MonadLift m n] : Prop where
/-- Lifting preserves `pure` -/
monadLift_pure {α : Type u} (a : α) : inst.monadLift (pure a) = pure a
/-- Lifting preserves `bind` -/
monadLift_bind {α β : Type u} (ma : m α) (f : α m β) :
inst.monadLift (ma >>= f) = inst.monadLift ma >>= (fun x => inst.monadLift (f x))
/-- The `MonadLiftT` typeclass only contains the transitive lifting operation.
`LawfulMonadLiftT` further asserts that lifting commutes with `pure` and `bind`:
```
monadLift (pure a) = pure a
monadLift (ma >>= f) = monadLift ma >>= monadLift ∘ f
```
-/
class LawfulMonadLiftT (m : Type u Type v) (n : Type u Type w) [Monad m] [Monad n]
[inst : MonadLiftT m n] : Prop where
/-- Lifting preserves `pure` -/
monadLift_pure {α : Type u} (a : α) : inst.monadLift (pure a) = pure a
/-- Lifting preserves `bind` -/
monadLift_bind {α β : Type u} (ma : m α) (f : α m β) :
inst.monadLift (ma >>= f) = monadLift ma >>= (fun x => monadLift (f x))
export LawfulMonadLiftT (monadLift_pure monadLift_bind)
end MonadLift

View File

@@ -1,148 +0,0 @@
/-
Copyright (c) 2025 Quang Dao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Quang Dao, Paul Reichert
-/
module
prelude
public import all Init.Control.Option
public import all Init.Control.Except
public import all Init.Control.ExceptCps
public import all Init.Control.StateRef
public import all Init.Control.StateCps
public import all Init.Control.Id
public import Init.Control.Lawful.MonadLift.Lemmas
public import Init.Control.Lawful.Instances
public section
universe u v w x
variable {m : Type u Type v} {n : Type u Type w} {o : Type u Type x}
variable (m n o) in
instance [Monad m] [Monad n] [Monad o] [MonadLift n o] [MonadLiftT m n]
[LawfulMonadLift n o] [LawfulMonadLiftT m n] : LawfulMonadLiftT m o where
monadLift_pure := fun a => by
simp only [monadLift, LawfulMonadLift.monadLift_pure, liftM_pure]
monadLift_bind := fun ma f => by
simp only [monadLift, LawfulMonadLift.monadLift_bind, liftM_bind]
variable (m) in
instance [Monad m] : LawfulMonadLiftT m m where
monadLift_pure _ := rfl
monadLift_bind _ _ := rfl
namespace StateT
variable [Monad m] [LawfulMonad m]
instance {σ : Type u} : LawfulMonadLift m (StateT σ m) where
monadLift_pure _ := by ext; simp [MonadLift.monadLift]
monadLift_bind _ _ := by ext; simp [MonadLift.monadLift]
end StateT
namespace ReaderT
variable [Monad m]
instance {ρ : Type u} : LawfulMonadLift m (ReaderT ρ m) where
monadLift_pure _ := rfl
monadLift_bind _ _ := rfl
end ReaderT
namespace OptionT
variable [Monad m] [LawfulMonad m]
@[simp]
theorem lift_pure {α : Type u} (a : α) : OptionT.lift (pure a : m α) = pure a := by
simp only [OptionT.lift, OptionT.mk, bind_pure_comp, map_pure, pure, OptionT.pure]
@[simp]
theorem lift_bind {α β : Type u} (ma : m α) (f : α m β) :
OptionT.lift (ma >>= f) = OptionT.lift ma >>= (fun a => OptionT.lift (f a)) := by
simp only [instMonad, OptionT.bind, OptionT.mk, OptionT.lift, bind_pure_comp, bind_map_left,
map_bind]
instance : LawfulMonadLift m (OptionT m) where
monadLift_pure := lift_pure
monadLift_bind := lift_bind
end OptionT
namespace ExceptT
variable [Monad m] [LawfulMonad m]
@[simp]
theorem lift_bind {α β ε : Type u} (ma : m α) (f : α m β) :
ExceptT.lift (ε := ε) (ma >>= f) = ExceptT.lift ma >>= (fun a => ExceptT.lift (f a)) := by
simp only [instMonad, ExceptT.bind, mk, ExceptT.lift, bind_map_left, ExceptT.bindCont, map_bind]
instance : LawfulMonadLift m (ExceptT ε m) where
monadLift_pure := lift_pure
monadLift_bind := lift_bind
instance : LawfulMonadLift (Except ε) (ExceptT ε m) where
monadLift_pure _ := by
simp only [MonadLift.monadLift, mk, pure, Except.pure, ExceptT.pure]
monadLift_bind ma _ := by
simp only [instMonad, ExceptT.bind, mk, MonadLift.monadLift, pure_bind, ExceptT.bindCont,
Except.instMonad, Except.bind]
rcases ma with _ | _ <;> simp
end ExceptT
namespace StateRefT'
instance {ω σ : Type} {m : Type Type} [Monad m] : LawfulMonadLift m (StateRefT' ω σ m) where
monadLift_pure _ := by
simp only [MonadLift.monadLift, pure]
unfold StateRefT'.lift ReaderT.pure
simp only
monadLift_bind _ _ := by
simp only [MonadLift.monadLift, bind]
unfold StateRefT'.lift ReaderT.bind
simp only
end StateRefT'
namespace StateCpsT
instance {σ : Type u} [Monad m] [LawfulMonad m] : LawfulMonadLift m (StateCpsT σ m) where
monadLift_pure _ := by
simp only [MonadLift.monadLift, pure]
unfold StateCpsT.lift
simp only [pure_bind]
monadLift_bind _ _ := by
simp only [MonadLift.monadLift, bind]
unfold StateCpsT.lift
simp only [bind_assoc]
end StateCpsT
namespace ExceptCpsT
instance {ε : Type u} [Monad m] [LawfulMonad m] : LawfulMonadLift m (ExceptCpsT ε m) where
monadLift_pure _ := by
simp only [MonadLift.monadLift, pure]
unfold ExceptCpsT.lift
simp only [pure_bind]
monadLift_bind _ _ := by
simp only [MonadLift.monadLift, bind]
unfold ExceptCpsT.lift
simp only [bind_assoc]
end ExceptCpsT
namespace Id
instance [Monad m] [LawfulMonad m] : LawfulMonadLiftT Id m where
monadLift_pure a := by simp [monadLift]
monadLift_bind a f := by simp [monadLift]
end Id

View File

@@ -1,65 +0,0 @@
/-
Copyright (c) 2025 Quang Dao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Quang Dao
-/
module
prelude
public import Init.Control.Lawful.Basic
public import Init.Control.Lawful.MonadLift.Basic
public section
universe u v w
variable {m : Type u Type v} {n : Type u Type w} [Monad m] [Monad n] [MonadLiftT m n]
[LawfulMonadLiftT m n] {α β : Type u}
theorem monadLift_map [LawfulMonad m] [LawfulMonad n] (f : α β) (ma : m α) :
monadLift (f <$> ma) = f <$> (monadLift ma : n α) := by
rw [ bind_pure_comp, bind_pure_comp, monadLift_bind]
simp only [bind_pure_comp, monadLift_pure]
theorem monadLift_seq [LawfulMonad m] [LawfulMonad n] (mf : m (α β)) (ma : m α) :
monadLift (mf <*> ma) = monadLift mf <*> (monadLift ma : n α) := by
simp only [seq_eq_bind, monadLift_map, monadLift_bind]
theorem monadLift_seqLeft [LawfulMonad m] [LawfulMonad n] (x : m α) (y : m β) :
monadLift (x <* y) = (monadLift x : n α) <* (monadLift y : n β) := by
simp only [seqLeft_eq, monadLift_map, monadLift_seq]
theorem monadLift_seqRight [LawfulMonad m] [LawfulMonad n] (x : m α) (y : m β) :
monadLift (x *> y) = (monadLift x : n α) *> (monadLift y : n β) := by
simp only [seqRight_eq, monadLift_map, monadLift_seq]
/-! We duplicate the theorems for `monadLift` to `liftM` since `rw` matches on syntax only. -/
@[simp]
theorem liftM_pure (a : α) : liftM (pure a : m α) = pure (f := n) a :=
monadLift_pure _
@[simp]
theorem liftM_bind (ma : m α) (f : α m β) :
liftM (n := n) (ma >>= f) = liftM ma >>= (fun a => liftM (f a)) :=
monadLift_bind _ _
@[simp]
theorem liftM_map [LawfulMonad m] [LawfulMonad n] (f : α β) (ma : m α) :
liftM (f <$> ma) = f <$> (liftM ma : n α) :=
monadLift_map _ _
@[simp]
theorem liftM_seq [LawfulMonad m] [LawfulMonad n] (mf : m (α β)) (ma : m α) :
liftM (mf <*> ma) = liftM mf <*> (liftM ma : n α) :=
monadLift_seq _ _
@[simp]
theorem liftM_seqLeft [LawfulMonad m] [LawfulMonad n] (x : m α) (y : m β) :
liftM (x <* y) = (liftM x : n α) <* (liftM y : n β) :=
monadLift_seqLeft _ _
@[simp]
theorem liftM_seqRight [LawfulMonad m] [LawfulMonad n] (x : m α) (y : m β) :
liftM (x *> y) = (liftM x : n α) *> (liftM y : n β) :=
monadLift_seqRight _ _

View File

@@ -6,11 +6,9 @@ Authors: Leonardo de Moura, Sebastian Ullrich
module
prelude
public import Init.Data.Option.Basic
public import Init.Control.Basic
public import Init.Control.Except
public section
import Init.Data.Option.Basic
import Init.Control.Basic
import Init.Control.Except
set_option linter.missingDocs true

View File

@@ -8,11 +8,9 @@ The Reader monad transformer for passing immutable State.
module
prelude
public import Init.Control.Basic
public import Init.Control.Id
public import Init.Control.Except
public section
import Init.Control.Basic
import Init.Control.Id
import Init.Control.Except
set_option linter.missingDocs true

View File

@@ -8,11 +8,9 @@ The State monad transformer.
module
prelude
public import Init.Control.Basic
public import Init.Control.Id
public import Init.Control.Except
public section
import Init.Control.Basic
import Init.Control.Id
import Init.Control.Except
set_option linter.missingDocs true
@@ -31,7 +29,7 @@ of a value and a state.
Executes an action from a monad with added state in the underlying monad `m`. Given an initial
state, it returns a value paired with the final state.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
def StateT.run {σ : Type u} {m : Type u Type v} {α : Type u} (x : StateT σ m α) (s : σ) : m (α × σ) :=
x s
@@ -39,7 +37,7 @@ def StateT.run {σ : Type u} {m : Type u → Type v} {α : Type u} (x : StateT
Executes an action from a monad with added state in the underlying monad `m`. Given an initial
state, it returns a value, discarding the final state.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
def StateT.run' {σ : Type u} {m : Type u Type v} [Functor m] {α : Type u} (x : StateT σ m α) (s : σ) : m α :=
(·.1) <$> x s
@@ -68,21 +66,21 @@ variable [Monad m] {α β : Type u}
/--
Returns the given value without modifying the state. Typically used via `Pure.pure`.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
protected def pure (a : α) : StateT σ m α :=
fun s => pure (a, s)
/--
Sequences two actions. Typically used via the `>>=` operator.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
protected def bind (x : StateT σ m α) (f : α StateT σ m β) : StateT σ m β :=
fun s => do let (a, s) x s; f a s
/--
Modifies the value returned by a computation. Typically used via the `<$>` operator.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
protected def map (f : α β) (x : StateT σ m α) : StateT σ m β :=
fun s => do let (a, s) x s; pure (f a, s)
@@ -116,14 +114,14 @@ Retrieves the current value of the monad's mutable state.
This increments the reference count of the state, which may inhibit in-place updates.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
protected def get : StateT σ m σ :=
fun s => pure (s, s)
/--
Replaces the mutable state with a new value.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
protected def set : σ StateT σ m PUnit :=
fun s' _ => pure (, s')
@@ -135,7 +133,7 @@ It is equivalent to `do let (a, s) := f (← StateT.get); StateT.set s; pure a`.
`StateT.modifyGet` may lead to better performance because it doesn't add a new reference to the
state value, and additional references can inhibit in-place updates of data.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
protected def modifyGet (f : σ α × σ) : StateT σ m α :=
fun s => pure (f s)
@@ -145,7 +143,7 @@ Runs an action from the underlying monad in the monad with state. The state is n
This function is typically implicitly accessed via a `MonadLiftT` instance as part of [automatic
lifting](lean-manual://section/monad-lifting).
-/
@[always_inline, inline, expose]
@[always_inline, inline]
protected def lift {α : Type u} (t : m α) : StateT σ m α :=
fun s => do let a t; pure (a, s)

View File

@@ -6,9 +6,7 @@ Authors: Leonardo de Moura
module
prelude
public import Init.Control.Lawful.Basic
public section
import Init.Control.Lawful.Basic
set_option linter.missingDocs true
@@ -30,7 +28,7 @@ variable {α σ : Type u} {m : Type u → Type v}
Runs a stateful computation that's represented using continuation passing style by providing it with
an initial state and a continuation.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
def runK (x : StateCpsT σ m α) (s : σ) (k : α σ m β) : m β :=
x _ s k
@@ -41,7 +39,7 @@ state, it returns a value paired with the final state.
While the state is internally represented in continuation passing style, the resulting value is the
same as for a non-CPS state monad.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
def run [Monad m] (x : StateCpsT σ m α) (s : σ) : m (α × σ) :=
runK x s (fun a s => pure (a, s))
@@ -49,7 +47,7 @@ def run [Monad m] (x : StateCpsT σ m α) (s : σ) : m (α × σ) :=
Executes an action from a monad with added state in the underlying monad `m`. Given an initial
state, it returns a value, discarding the final state.
-/
@[always_inline, inline, expose]
@[always_inline, inline]
def run' [Monad m] (x : StateCpsT σ m α) (s : σ) : m α :=
runK x s (fun a _ => pure a)
@@ -74,7 +72,7 @@ Runs an action from the underlying monad in the monad with state. The state is n
This function is typically implicitly accessed via a `MonadLiftT` instance as part of [automatic
lifting](lean-manual://section/monad-lifting).
-/
@[always_inline, inline, expose]
@[always_inline, inline]
protected def lift [Monad m] (x : m α) : StateCpsT σ m α :=
fun _ s k => x >>= (k . s)

View File

@@ -8,9 +8,7 @@ The State monad transformer using IO references.
module
prelude
public import Init.System.ST
public section
import Init.System.ST
set_option linter.missingDocs true

View File

@@ -8,10 +8,8 @@ Notation for operators defined at Prelude.lean
module
prelude
public import Init.Tactics
public meta import Init.Meta
public section
import Init.Tactics
import Init.Meta
namespace Lean.Parser.Tactic.Conv
@@ -341,12 +339,6 @@ This is the conv mode version of the `lift_lets` tactic.
-/
syntax (name := liftLets) "lift_lets " optConfig : conv
/--
Transforms `let` expressions into `have` expressions within th etarget expression when possible.
This is the conv mode version of the `let_to_have` tactic.
-/
syntax (name := letToHave) "let_to_have" : conv
/--
`conv => ...` allows the user to perform targeted rewriting on a goal or hypothesis,
by focusing on particular subexpressions.

View File

@@ -8,10 +8,8 @@ notation, basic datatypes and type classes
module
prelude
public meta import Init.Prelude
public import Init.SizeOf
public section
import Init.Prelude
import Init.SizeOf
set_option linter.missingDocs true -- keep it documented
@[expose] section
@@ -45,14 +43,14 @@ and `flip (·<·)` is the greater-than relation.
theorem Function.comp_def {α β δ} (f : β δ) (g : α β) : f g = fun x => f (g x) := rfl
@[simp] theorem Function.const_comp {f : α β} {c : γ} :
(Function.const β c f) = Function.const α c :=
(Function.const β c f) = Function.const α c := by
rfl
@[simp] theorem Function.comp_const {f : β γ} {b : β} :
(f Function.const α b) = Function.const α (f b) :=
(f Function.const α b) = Function.const α (f b) := by
rfl
@[simp] theorem Function.true_comp {f : α β} : ((fun _ => true) f) = fun _ => true :=
@[simp] theorem Function.true_comp {f : α β} : ((fun _ => true) f) = fun _ => true := by
rfl
@[simp] theorem Function.false_comp {f : α β} : ((fun _ => false) f) = fun _ => false :=
@[simp] theorem Function.false_comp {f : α β} : ((fun _ => false) f) = fun _ => false := by
rfl
@[simp] theorem Function.comp_id (f : α β) : f id = f := rfl
@@ -97,8 +95,7 @@ structure Thunk (α : Type u) : Type u where
-/
mk ::
/-- Extract the getter function out of a thunk. Use `Thunk.get` instead. -/
-- The field is public so as to allow computation through it.
fn : Unit α
private fn : Unit α
attribute [extern "lean_mk_thunk"] Thunk.mk
@@ -120,10 +117,6 @@ Computed values are cached, so the value is not recomputed.
@[extern "lean_thunk_get_own"] protected def Thunk.get (x : @& Thunk α) : α :=
x.fn ()
-- Ensure `Thunk.fn` is still computable even if it shouldn't be accessed directly.
@[inline] private def Thunk.fnImpl (x : Thunk α) : Unit α := fun _ => x.get
@[csimp] private theorem Thunk.fn_eq_fnImpl : @Thunk.fn = @Thunk.fnImpl := rfl
/--
Constructs a new thunk that forces `x` and then applies `x` to the result. Upon forcing, the result
of `f` is cached and the reference to the thunk `x` is dropped.
@@ -1055,6 +1048,11 @@ theorem Exists.elim {α : Sort u} {p : α → Prop} {b : Prop}
| isFalse _ => rfl
| isTrue h => False.elim h
set_option linter.missingDocs false in
@[deprecated decide_true (since := "2024-11-05")] abbrev decide_true_eq_true := decide_true
set_option linter.missingDocs false in
@[deprecated decide_false (since := "2024-11-05")] abbrev decide_false_eq_false := decide_false
/-- Similar to `decide`, but uses an explicit instance -/
@[inline] def toBoolUsing {p : Prop} (d : Decidable p) : Bool :=
decide (h := d)
@@ -2254,7 +2252,7 @@ theorem funext {α : Sort u} {β : α → Sort v} {f g : (x : α) → β x}
Quot.liftOn f
(fun (f : (x : α), β x) => f x)
(fun _ _ h => h x)
change extfunApp (Quot.mk eqv f) = extfunApp (Quot.mk eqv g)
show extfunApp (Quot.mk eqv f) = extfunApp (Quot.mk eqv g)
exact congrArg extfunApp (Quot.sound h)
/--

View File

@@ -6,48 +6,43 @@ Authors: Leonardo de Moura
module
prelude
public import Init.Data.Basic
public import Init.Data.Nat
public import Init.Data.Bool
public import Init.Data.BitVec
public import Init.Data.Cast
public import Init.Data.Char
public import Init.Data.String
public import Init.Data.List
public import Init.Data.Int
public import Init.Data.Array
public import Init.Data.Array.Subarray.Split
public import Init.Data.ByteArray
public import Init.Data.FloatArray
public import Init.Data.Fin
public import Init.Data.UInt
public import Init.Data.SInt
public import Init.Data.Float
public import Init.Data.Float32
public import Init.Data.Option
public import Init.Data.Ord
public import Init.Data.Random
public import Init.Data.ToString
public import Init.Data.Range
public import Init.Data.Hashable
public import Init.Data.OfScientific
public import Init.Data.Format
public import Init.Data.Stream
public import Init.Data.Prod
public import Init.Data.AC
public import Init.Data.Queue
public import Init.Data.Sum
public import Init.Data.BEq
public import Init.Data.Subtype
public import Init.Data.ULift
public import Init.Data.PLift
public import Init.Data.Zero
public import Init.Data.NeZero
public import Init.Data.Function
public import Init.Data.RArray
public import Init.Data.Vector
public import Init.Data.Iterators
public import Init.Data.Range.Polymorphic
public import Init.Data.Slice
public section
import Init.Data.Basic
import Init.Data.Nat
import Init.Data.Bool
import Init.Data.BitVec
import Init.Data.Cast
import Init.Data.Char
import Init.Data.String
import Init.Data.List
import Init.Data.Int
import Init.Data.Array
import Init.Data.Array.Subarray.Split
import Init.Data.ByteArray
import Init.Data.FloatArray
import Init.Data.Fin
import Init.Data.UInt
import Init.Data.SInt
import Init.Data.Float
import Init.Data.Float32
import Init.Data.Option
import Init.Data.Ord
import Init.Data.Random
import Init.Data.ToString
import Init.Data.Range
import Init.Data.Hashable
import Init.Data.OfScientific
import Init.Data.Format
import Init.Data.Stream
import Init.Data.Prod
import Init.Data.AC
import Init.Data.Queue
import Init.Data.Sum
import Init.Data.BEq
import Init.Data.Subtype
import Init.Data.ULift
import Init.Data.PLift
import Init.Data.Zero
import Init.Data.NeZero
import Init.Data.Function
import Init.Data.RArray
import Init.Data.Vector

View File

@@ -7,10 +7,8 @@ Authors: Dany Fabian
module
prelude
public import Init.Classical
public import Init.ByCases
public section
import Init.Classical
import Init.ByCases
namespace Lean.Data.AC
inductive Expr
@@ -211,7 +209,7 @@ theorem Context.evalList_sort_congr
induction c generalizing a b with
| nil => simp [sort.loop, h₂]
| cons c _ ih =>
simp [sort.loop]; apply ih; simp [evalList_insert ctx h]
simp [sort.loop]; apply ih; simp [evalList_insert ctx h, evalList]
cases a with
| nil => apply absurd h₃; simp
| cons a as =>
@@ -284,7 +282,7 @@ theorem Context.toList_nonEmpty (e : Expr) : e.toList ≠ [] := by
simp [Expr.toList]
cases h : l.toList with
| nil => contradiction
| cons => simp
| cons => simp [List.append]
theorem Context.unwrap_isNeutral
{ctx : Context α}
@@ -330,13 +328,13 @@ theorem Context.eval_toList (ctx : Context α) (e : Expr) : evalList α ctx e.to
induction e with
| var x => rfl
| op l r ih₁ ih₂ =>
simp [Expr.toList, eval, ih₁, ih₂]
simp [evalList, Expr.toList, eval, ih₁, ih₂]
apply evalList_append <;> apply toList_nonEmpty
theorem Context.eval_norm (ctx : Context α) (e : Expr) : evalList α ctx (norm ctx e) = eval α ctx e := by
simp [norm]
cases h₁ : ContextInformation.isIdem ctx <;> cases h₂ : ContextInformation.isComm ctx <;>
simp_all [evalList_removeNeutrals, eval_toList, evalList_mergeIdem, evalList_sort]
simp_all [evalList_removeNeutrals, eval_toList, toList_nonEmpty, evalList_mergeIdem, evalList_sort]
theorem Context.eq_of_norm (ctx : Context α) (a b : Expr) (h : norm ctx a == norm ctx b) : eval α ctx a = eval α ctx b := by
have h := congrArg (evalList α ctx) (eq_of_beq h)

View File

@@ -6,29 +6,27 @@ Authors: Gabriel Ebner
module
prelude
public import Init.Data.Array.Basic
public import Init.Data.Array.QSort
public import Init.Data.Array.BinSearch
public import Init.Data.Array.InsertionSort
public import Init.Data.Array.DecidableEq
public import Init.Data.Array.Mem
public import Init.Data.Array.Attach
public import Init.Data.Array.BasicAux
public import Init.Data.Array.Lemmas
public import Init.Data.Array.TakeDrop
public import Init.Data.Array.Bootstrap
public import Init.Data.Array.GetLit
public import Init.Data.Array.MapIdx
public import Init.Data.Array.Set
public import Init.Data.Array.Monadic
public import Init.Data.Array.FinRange
public import Init.Data.Array.Perm
public import Init.Data.Array.Find
public import Init.Data.Array.Lex
public import Init.Data.Array.Range
public import Init.Data.Array.Erase
public import Init.Data.Array.Zip
public import Init.Data.Array.InsertIdx
public import Init.Data.Array.Extract
public section
import Init.Data.Array.Basic
import Init.Data.Array.QSort
import Init.Data.Array.BinSearch
import Init.Data.Array.InsertionSort
import Init.Data.Array.DecidableEq
import Init.Data.Array.Mem
import Init.Data.Array.Attach
import Init.Data.Array.BasicAux
import Init.Data.Array.Lemmas
import Init.Data.Array.TakeDrop
import Init.Data.Array.Bootstrap
import Init.Data.Array.GetLit
import Init.Data.Array.MapIdx
import Init.Data.Array.Set
import Init.Data.Array.Monadic
import Init.Data.Array.FinRange
import Init.Data.Array.Perm
import Init.Data.Array.Find
import Init.Data.Array.Lex
import Init.Data.Array.Range
import Init.Data.Array.Erase
import Init.Data.Array.Zip
import Init.Data.Array.InsertIdx
import Init.Data.Array.Extract

View File

@@ -6,12 +6,10 @@ Authors: Joachim Breitner, Mario Carneiro
module
prelude
public import Init.Data.Array.Mem
public import Init.Data.Array.Lemmas
public import Init.Data.Array.Count
public import all Init.Data.List.Attach
public section
import Init.Data.Array.Mem
import Init.Data.Array.Lemmas
import Init.Data.Array.Count
import all Init.Data.List.Attach
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
set_option linter.indexVariables true -- Enforce naming conventions for index variables.
@@ -24,7 +22,7 @@ an array `xs : Array α`, given a proof that every element of `xs` in fact satis
`Array.pmap`, named for “partial map,” is the equivalent of `Array.map` for such partial functions.
-/
@[expose]
def pmap {P : α Prop} (f : a, P a β) (xs : Array α) (H : a xs, P a) : Array β :=
(xs.toList.pmap f (fun a m => H a (mem_def.mpr m))).toArray
@@ -41,7 +39,7 @@ of elements in the corresponding subtype `{ x // P x }`.
`O(1)`.
-/
@[implemented_by attachWithImpl, expose] def attachWith
@[implemented_by attachWithImpl] def attachWith
(xs : Array α) (P : α Prop) (H : x xs, P x) : Array {x // P x} :=
xs.toList.attachWith P fun x h => H x (Array.Mem.mk h)
@@ -56,7 +54,7 @@ recursion](lean-manual://section/well-founded-recursion) that use higher-order f
`Array.map`) to prove that an value taken from a list is smaller than the list. This allows the
well-founded recursion mechanism to prove that the function terminates.
-/
@[inline, expose] def attach (xs : Array α) : Array {x // x xs} := xs.attachWith _ fun _ => id
@[inline] def attach (xs : Array α) : Array {x // x xs} := xs.attachWith _ fun _ => id
@[simp, grind =] theorem _root_.List.attachWith_toArray {l : List α} {P : α Prop} {H : x l.toArray, P x} :
l.toArray.attachWith P H = (l.attachWith P (by simpa using H)).toArray := by
@@ -70,15 +68,15 @@ well-founded recursion mechanism to prove that the function terminates.
l.toArray.pmap f H = (l.pmap f (by simpa using H)).toArray := by
simp [pmap]
@[simp, grind =] theorem toList_attachWith {xs : Array α} {P : α Prop} {H : x xs, P x} :
@[simp] theorem toList_attachWith {xs : Array α} {P : α Prop} {H : x xs, P x} :
(xs.attachWith P H).toList = xs.toList.attachWith P (by simpa [mem_toList_iff] using H) := by
simp [attachWith]
@[simp, grind =] theorem toList_attach {xs : Array α} :
@[simp] theorem toList_attach {xs : Array α} :
xs.attach.toList = xs.toList.attachWith (· xs) (by simp [mem_toList_iff]) := by
simp [attach]
@[simp, grind =] theorem toList_pmap {xs : Array α} {P : α Prop} {f : a, P a β} {H : a xs, P a} :
@[simp] theorem toList_pmap {xs : Array α} {P : α Prop} {f : a, P a β} {H : a xs, P a} :
(xs.pmap f H).toList = xs.toList.pmap f (fun a m => H a (mem_def.mpr m)) := by
simp [pmap]
@@ -94,16 +92,16 @@ well-founded recursion mechanism to prove that the function terminates.
intro a m h₁ h₂
congr
@[simp, grind =] theorem pmap_empty {P : α Prop} (f : a, P a β) : pmap f #[] (by simp) = #[] := rfl
@[simp] theorem pmap_empty {P : α Prop} (f : a, P a β) : pmap f #[] (by simp) = #[] := rfl
@[simp, grind =] theorem pmap_push {P : α Prop} (f : a, P a β) (a : α) (xs : Array α) (h : b xs.push a, P b) :
@[simp] theorem pmap_push {P : α Prop} (f : a, P a β) (a : α) (xs : Array α) (h : b xs.push a, P b) :
pmap f (xs.push a) h =
(pmap f xs (fun a m => by simp at h; exact h a (.inl m))).push (f a (h a (by simp))) := by
simp [pmap]
@[simp, grind =] theorem attach_empty : (#[] : Array α).attach = #[] := rfl
@[simp] theorem attach_empty : (#[] : Array α).attach = #[] := rfl
@[simp, grind =] theorem attachWith_empty {P : α Prop} (H : x #[], P x) : (#[] : Array α).attachWith P H = #[] := rfl
@[simp] theorem attachWith_empty {P : α Prop} (H : x #[], P x) : (#[] : Array α).attachWith P H = #[] := rfl
@[simp] theorem _root_.List.attachWith_mem_toArray {l : List α} :
l.attachWith (fun x => x l.toArray) (fun x h => by simpa using h) =
@@ -124,13 +122,11 @@ theorem pmap_congr_left {p q : α → Prop} {f : ∀ a, p a → β} {g : ∀ a,
simp only [List.pmap_toArray, mk.injEq]
rw [List.pmap_congr_left _ h]
@[grind =]
theorem map_pmap {p : α Prop} {g : β γ} {f : a, p a β} {xs : Array α} (H) :
map g (pmap f xs H) = pmap (fun a h => g (f a h)) xs H := by
cases xs
simp [List.map_pmap]
@[grind =]
theorem pmap_map {p : β Prop} {g : b, p b γ} {f : α β} {xs : Array α} (H) :
pmap g (map f xs) H = pmap (fun a h => g (f a) h) xs fun _ h => H _ (mem_map_of_mem h) := by
cases xs
@@ -146,18 +142,18 @@ theorem attachWith_congr {xs ys : Array α} (w : xs = ys) {P : α → Prop} {H :
subst w
simp
@[simp, grind =] theorem attach_push {a : α} {xs : Array α} :
@[simp] theorem attach_push {a : α} {xs : Array α} :
(xs.push a).attach =
(xs.attach.map (fun x, h => x, mem_push_of_mem a h)).push a, by simp := by
cases xs
rw [attach_congr (List.push_toArray _ _)]
simp [Function.comp_def]
@[simp, grind =] theorem attachWith_push {a : α} {xs : Array α} {P : α Prop} {H : x xs.push a, P x} :
@[simp] theorem attachWith_push {a : α} {xs : Array α} {P : α Prop} {H : x xs.push a, P x} :
(xs.push a).attachWith P H =
(xs.attachWith P (fun x h => by simp at H; exact H x (.inl h))).push a, H a (by simp) := by
cases xs
simp
simp [attachWith_congr (List.push_toArray _ _)]
theorem pmap_eq_map_attach {p : α Prop} {f : a, p a β} {xs : Array α} (H) :
pmap f xs H = xs.attach.map fun x => f x.1 (H _ x.2) := by
@@ -193,39 +189,38 @@ theorem attachWith_map_subtype_val {p : α → Prop} {xs : Array α} (H : ∀ a
(xs.attachWith p H).map Subtype.val = xs := by
cases xs; simp
@[simp, grind]
@[simp]
theorem mem_attach (xs : Array α) : x, x xs.attach
| a, h => by
have := mem_map.1 (by rw [attach_map_subtype_val] <;> exact h)
rcases this with _, _, m, rfl
exact m
@[simp, grind]
@[simp]
theorem mem_attachWith {xs : Array α} {q : α Prop} (H) (x : {x // q x}) :
x xs.attachWith q H x.1 xs := by
cases xs
simp
@[simp, grind =]
@[simp]
theorem mem_pmap {p : α Prop} {f : a, p a β} {xs H b} :
b pmap f xs H (a : _) (h : a xs), f a (H a h) = b := by
simp only [pmap_eq_map_attach, mem_map, mem_attach, true_and, Subtype.exists, eq_comm]
@[grind]
theorem mem_pmap_of_mem {p : α Prop} {f : a, p a β} {xs H} {a} (h : a xs) :
f a (H a h) pmap f xs H := by
rw [mem_pmap]
exact a, h, rfl
@[simp, grind =]
@[simp]
theorem size_pmap {p : α Prop} {f : a, p a β} {xs H} : (pmap f xs H).size = xs.size := by
cases xs; simp
@[simp, grind =]
@[simp]
theorem size_attach {xs : Array α} : xs.attach.size = xs.size := by
cases xs; simp
@[simp, grind =]
@[simp]
theorem size_attachWith {p : α Prop} {xs : Array α} {H} : (xs.attachWith p H).size = xs.size := by
cases xs; simp
@@ -257,13 +252,13 @@ theorem attachWith_ne_empty_iff {xs : Array α} {P : α → Prop} {H : ∀ a ∈
xs.attachWith P H #[] xs #[] := by
cases xs; simp
@[simp, grind =]
@[simp]
theorem getElem?_pmap {p : α Prop} {f : a, p a β} {xs : Array α} (h : a xs, p a) (i : Nat) :
(pmap f xs h)[i]? = Option.pmap f xs[i]? fun x H => h x (mem_of_getElem? H) := by
cases xs; simp
-- The argument `f` is explicit to allow rewriting from right to left.
@[simp, grind =]
@[simp]
theorem getElem_pmap {p : α Prop} (f : a, p a β) {xs : Array α} (h : a xs, p a) {i : Nat}
(hi : i < (pmap f xs h).size) :
(pmap f xs h)[i] =
@@ -271,59 +266,57 @@ theorem getElem_pmap {p : α → Prop} (f : ∀ a, p a → β) {xs : Array α} (
(h _ (getElem_mem (@size_pmap _ _ p f xs h hi))) := by
cases xs; simp
@[simp, grind =]
@[simp]
theorem getElem?_attachWith {xs : Array α} {i : Nat} {P : α Prop} {H : a xs, P a} :
(xs.attachWith P H)[i]? = xs[i]?.pmap Subtype.mk (fun _ a => H _ (mem_of_getElem? a)) :=
getElem?_pmap ..
@[simp, grind =]
@[simp]
theorem getElem?_attach {xs : Array α} {i : Nat} :
xs.attach[i]? = xs[i]?.pmap Subtype.mk (fun _ a => mem_of_getElem? a) :=
getElem?_attachWith
@[simp, grind =]
@[simp]
theorem getElem_attachWith {xs : Array α} {P : α Prop} {H : a xs, P a}
{i : Nat} (h : i < (xs.attachWith P H).size) :
(xs.attachWith P H)[i] = xs[i]'(by simpa using h), H _ (getElem_mem (by simpa using h)) :=
getElem_pmap _ _ h
@[simp, grind =]
@[simp]
theorem getElem_attach {xs : Array α} {i : Nat} (h : i < xs.attach.size) :
xs.attach[i] = xs[i]'(by simpa using h), getElem_mem (by simpa using h) :=
getElem_attachWith h
@[simp, grind =] theorem pmap_attach {xs : Array α} {p : {x // x xs} Prop} {f : a, p a β} (H) :
@[simp] theorem pmap_attach {xs : Array α} {p : {x // x xs} Prop} {f : a, p a β} (H) :
pmap f xs.attach H =
xs.pmap (P := fun a => h : a xs, p a, h)
(fun a h => f a, h.1 h.2) (fun a h => h, H a, h (by simp)) := by
ext <;> simp
@[simp, grind =] theorem pmap_attachWith {xs : Array α} {p : {x // q x} Prop} {f : a, p a β} (H₁ H₂) :
@[simp] theorem pmap_attachWith {xs : Array α} {p : {x // q x} Prop} {f : a, p a β} (H₁ H₂) :
pmap f (xs.attachWith q H₁) H₂ =
xs.pmap (P := fun a => h : q a, p a, h)
(fun a h => f a, h.1 h.2) (fun a h => H₁ _ h, H₂ a, H₁ _ h (by simpa)) := by
ext <;> simp
@[grind =]
theorem foldl_pmap {xs : Array α} {P : α Prop} {f : (a : α) P a β}
(H : (a : α), a xs P a) (g : γ β γ) (x : γ) :
(xs.pmap f H).foldl g x = xs.attach.foldl (fun acc a => g acc (f a.1 (H _ a.2))) x := by
rw [pmap_eq_map_attach, foldl_map]
@[grind =]
theorem foldr_pmap {xs : Array α} {P : α Prop} {f : (a : α) P a β}
(H : (a : α), a xs P a) (g : β γ γ) (x : γ) :
(xs.pmap f H).foldr g x = xs.attach.foldr (fun a acc => g (f a.1 (H _ a.2)) acc) x := by
rw [pmap_eq_map_attach, foldr_map]
@[simp, grind =] theorem foldl_attachWith
@[simp] theorem foldl_attachWith
{xs : Array α} {q : α Prop} (H : a, a xs q a) {f : β { x // q x} β} {b} (w : stop = xs.size) :
(xs.attachWith q H).foldl f b 0 stop = xs.attach.foldl (fun b a, h => f b a, H _ h) b := by
subst w
rcases xs with xs
simp [List.foldl_attachWith, List.foldl_map]
@[simp, grind =] theorem foldr_attachWith
@[simp] theorem foldr_attachWith
{xs : Array α} {q : α Prop} (H : a, a xs q a) {f : { x // q x} β β} {b} (w : start = xs.size) :
(xs.attachWith q H).foldr f b start 0 = xs.attach.foldr (fun a acc => f a.1, H _ a.2 acc) b := by
subst w
@@ -344,7 +337,7 @@ theorem foldl_attach {xs : Array α} {f : β → α → β} {b : β} :
xs.attach.foldl (fun acc t => f acc t.1) b = xs.foldl f b := by
rcases xs with xs
simp only [List.attach_toArray, List.attachWith_mem_toArray, List.size_toArray,
List.foldl_toArray', mem_toArray, List.foldl_subtype]
List.length_pmap, List.foldl_toArray', mem_toArray, List.foldl_subtype]
congr
ext
simpa using fun a => List.mem_of_getElem? a
@@ -363,25 +356,23 @@ theorem foldr_attach {xs : Array α} {f : α → β → β} {b : β} :
xs.attach.foldr (fun t acc => f t.1 acc) b = xs.foldr f b := by
rcases xs with xs
simp only [List.attach_toArray, List.attachWith_mem_toArray, List.size_toArray,
List.foldr_toArray', mem_toArray, List.foldr_subtype]
List.length_pmap, List.foldr_toArray', mem_toArray, List.foldr_subtype]
congr
ext
simpa using fun a => List.mem_of_getElem? a
@[grind =]
theorem attach_map {xs : Array α} {f : α β} :
(xs.map f).attach = xs.attach.map (fun x, h => f x, mem_map_of_mem h) := by
cases xs
ext <;> simp
@[grind =]
theorem attachWith_map {xs : Array α} {f : α β} {P : β Prop} (H : (b : β), b xs.map f P b) :
(xs.map f).attachWith P H = (xs.attachWith (P f) (fun _ h => H _ (mem_map_of_mem h))).map
fun x, h => f x, h := by
cases xs
simp [List.attachWith_map]
@[simp, grind =] theorem map_attachWith {xs : Array α} {P : α Prop} {H : (a : α), a xs P a}
@[simp] theorem map_attachWith {xs : Array α} {P : α Prop} {H : (a : α), a xs P a}
{f : { x // P x } β} :
(xs.attachWith P H).map f = xs.attach.map fun x, h => f x, H _ h := by
cases xs <;> simp_all
@@ -402,7 +393,6 @@ theorem map_attach_eq_pmap {xs : Array α} {f : { x // x ∈ xs } → β} :
@[deprecated map_attach_eq_pmap (since := "2025-02-09")]
abbrev map_attach := @map_attach_eq_pmap
@[grind =]
theorem attach_filterMap {xs : Array α} {f : α Option β} :
(xs.filterMap f).attach = xs.attach.filterMap
fun x, h => (f x).pbind (fun b m => some b, mem_filterMap.mpr x, h, m) := by
@@ -410,7 +400,6 @@ theorem attach_filterMap {xs : Array α} {f : α → Option β} :
rw [attach_congr List.filterMap_toArray]
simp [List.attach_filterMap, List.map_filterMap, Function.comp_def]
@[grind =]
theorem attach_filter {xs : Array α} (p : α Bool) :
(xs.filter p).attach = xs.attach.filterMap
fun x => if w : p x.1 then some x.1, mem_filter.mpr x.2, w else none := by
@@ -420,7 +409,7 @@ theorem attach_filter {xs : Array α} (p : α → Bool) :
-- We are still missing here `attachWith_filterMap` and `attachWith_filter`.
@[simp, grind =]
@[simp]
theorem filterMap_attachWith {q : α Prop} {xs : Array α} {f : {x // q x} Option β} (H)
(w : stop = (xs.attachWith q H).size) :
(xs.attachWith q H).filterMap f 0 stop = xs.attach.filterMap (fun x, h => f x, H _ h) := by
@@ -428,7 +417,7 @@ theorem filterMap_attachWith {q : α → Prop} {xs : Array α} {f : {x // q x}
cases xs
simp [Function.comp_def]
@[simp, grind =]
@[simp]
theorem filter_attachWith {q : α Prop} {xs : Array α} {p : {x // q x} Bool} (H)
(w : stop = (xs.attachWith q H).size) :
(xs.attachWith q H).filter p 0 stop =
@@ -437,7 +426,6 @@ theorem filter_attachWith {q : α → Prop} {xs : Array α} {p : {x // q x} →
cases xs
simp [Function.comp_def, List.filter_map]
@[grind =]
theorem pmap_pmap {p : α Prop} {q : β Prop} {g : a, p a β} {f : b, q b γ} {xs} (H₁ H₂) :
pmap f (pmap g xs H₁) H₂ =
pmap (α := { x // x xs }) (fun a h => f (g a h) (H₂ (g a h) (mem_pmap_of_mem a.2))) xs.attach
@@ -445,7 +433,7 @@ theorem pmap_pmap {p : α → Prop} {q : β → Prop} {g : ∀ a, p a → β} {f
cases xs
simp [List.pmap_pmap, List.pmap_map]
@[simp, grind =] theorem pmap_append {p : ι Prop} {f : a : ι, p a α} {xs ys : Array ι}
@[simp] theorem pmap_append {p : ι Prop} {f : a : ι, p a α} {xs ys : Array ι}
(h : a xs ++ ys, p a) :
(xs ++ ys).pmap f h =
(xs.pmap f fun a ha => h a (mem_append_left ys ha)) ++
@@ -460,7 +448,7 @@ theorem pmap_append' {p : α → Prop} {f : ∀ a : α, p a → β} {xs ys : Arr
xs.pmap f h₁ ++ ys.pmap f h₂ :=
pmap_append _
@[simp, grind =] theorem attach_append {xs ys : Array α} :
@[simp] theorem attach_append {xs ys : Array α} :
(xs ++ ys).attach = xs.attach.map (fun x, h => x, mem_append_left ys h) ++
ys.attach.map fun x, h => x, mem_append_right xs h := by
cases xs
@@ -468,62 +456,59 @@ theorem pmap_append' {p : α → Prop} {f : ∀ a : α, p a → β} {xs ys : Arr
rw [attach_congr (List.append_toArray _ _)]
simp [List.attach_append, Function.comp_def]
@[simp, grind =] theorem attachWith_append {P : α Prop} {xs ys : Array α}
@[simp] theorem attachWith_append {P : α Prop} {xs ys : Array α}
{H : (a : α), a xs ++ ys P a} :
(xs ++ ys).attachWith P H = xs.attachWith P (fun a h => H a (mem_append_left ys h)) ++
ys.attachWith P (fun a h => H a (mem_append_right xs h)) := by
simp [attachWith]
simp [attachWith, attach_append, map_pmap, pmap_append]
@[simp, grind =] theorem pmap_reverse {P : α Prop} {f : (a : α) P a β} {xs : Array α}
@[simp] theorem pmap_reverse {P : α Prop} {f : (a : α) P a β} {xs : Array α}
(H : (a : α), a xs.reverse P a) :
xs.reverse.pmap f H = (xs.pmap f (fun a h => H a (by simpa using h))).reverse := by
induction xs <;> simp_all
@[grind =]
theorem reverse_pmap {P : α Prop} {f : (a : α) P a β} {xs : Array α}
(H : (a : α), a xs P a) :
(xs.pmap f H).reverse = xs.reverse.pmap f (fun a h => H a (by simpa using h)) := by
rw [pmap_reverse]
@[simp, grind =] theorem attachWith_reverse {P : α Prop} {xs : Array α}
@[simp] theorem attachWith_reverse {P : α Prop} {xs : Array α}
{H : (a : α), a xs.reverse P a} :
xs.reverse.attachWith P H =
(xs.attachWith P (fun a h => H a (by simpa using h))).reverse := by
cases xs
simp
@[grind =]
theorem reverse_attachWith {P : α Prop} {xs : Array α}
{H : (a : α), a xs P a} :
(xs.attachWith P H).reverse = (xs.reverse.attachWith P (fun a h => H a (by simpa using h))) := by
cases xs
simp
@[simp, grind =] theorem attach_reverse {xs : Array α} :
@[simp] theorem attach_reverse {xs : Array α} :
xs.reverse.attach = xs.attach.reverse.map fun x, h => x, by simpa using h := by
cases xs
rw [attach_congr List.reverse_toArray]
simp
@[grind =]
theorem reverse_attach {xs : Array α} :
xs.attach.reverse = xs.reverse.attach.map fun x, h => x, by simpa using h := by
cases xs
simp
@[simp, grind =] theorem back?_pmap {P : α Prop} {f : (a : α) P a β} {xs : Array α}
@[simp] theorem back?_pmap {P : α Prop} {f : (a : α) P a β} {xs : Array α}
(H : (a : α), a xs P a) :
(xs.pmap f H).back? = xs.attach.back?.map fun a, m => f a (H a m) := by
cases xs
simp
@[simp, grind =] theorem back?_attachWith {P : α Prop} {xs : Array α}
@[simp] theorem back?_attachWith {P : α Prop} {xs : Array α}
{H : (a : α), a xs P a} :
(xs.attachWith P H).back? = xs.back?.pbind (fun a h => some a, H _ (mem_of_back? h)) := by
cases xs
simp
@[simp, grind =]
@[simp]
theorem back?_attach {xs : Array α} :
xs.attach.back? = xs.back?.pbind fun a h => some a, mem_of_back? h := by
cases xs
@@ -541,7 +526,7 @@ theorem countP_attachWith {p : α → Prop} {q : α → Bool} {xs : Array α} {H
cases xs
simp
@[simp, grind =]
@[simp]
theorem count_attach [BEq α] {xs : Array α} {a : {x // x xs}} :
xs.attach.count a = xs.count a := by
rcases xs with xs
@@ -550,13 +535,13 @@ theorem count_attach [BEq α] {xs : Array α} {a : {x // x ∈ xs}} :
simp only [Subtype.beq_iff]
rw [List.countP_pmap, List.countP_attach (p := (fun x => x == a.1)), List.count]
@[simp, grind =]
@[simp]
theorem count_attachWith [BEq α] {p : α Prop} {xs : Array α} (H : a xs, p a) {a : {x // p x}} :
(xs.attachWith p H).count a = xs.count a := by
cases xs
simp
@[simp, grind =] theorem countP_pmap {p : α Prop} {g : a, p a β} {f : β Bool} {xs : Array α} (H₁) :
@[simp] theorem countP_pmap {p : α Prop} {g : a, p a β} {f : β Bool} {xs : Array α} (H₁) :
(xs.pmap g H₁).countP f =
xs.attach.countP (fun a, m => f (g a (H₁ a m))) := by
simp [pmap_eq_map_attach, countP_map, Function.comp_def]
@@ -705,7 +690,7 @@ and simplifies these to the function directly taking the value.
{f : { x // p x } Array β} {g : α Array β} (hf : x h, f x, h = g x) :
(xs.flatMap f) = xs.unattach.flatMap g := by
cases xs
simp only [List.flatMap_toArray, List.unattach_toArray,
simp only [List.size_toArray, List.flatMap_toArray, List.unattach_toArray, List.length_unattach,
mk.injEq]
rw [List.flatMap_subtype]
simp [hf]

View File

@@ -6,17 +6,15 @@ Authors: Leonardo de Moura
module
prelude
public import Init.WFTactics
public import Init.Data.Nat.Basic
public import Init.Data.Fin.Basic
public import Init.Data.UInt.BasicAux
public import Init.Data.Repr
public import Init.Data.ToString.Basic
public import Init.GetElem
public import all Init.Data.List.ToArrayImpl
public import all Init.Data.Array.Set
public section
import Init.WFTactics
import Init.Data.Nat.Basic
import Init.Data.Fin.Basic
import Init.Data.UInt.BasicAux
import Init.Data.Repr
import Init.Data.ToString.Basic
import Init.GetElem
import all Init.Data.List.ToArrayImpl
import all Init.Data.Array.Set
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
set_option linter.indexVariables true -- Enforce naming conventions for index variables.
@@ -93,8 +91,7 @@ theorem ext' {xs ys : Array α} (h : xs.toList = ys.toList) : xs = ys := by
@[simp, grind =] theorem getElem_toList {xs : Array α} {i : Nat} (h : i < xs.size) : xs.toList[i] = xs[i] := rfl
@[simp, grind =] theorem getElem?_toList {xs : Array α} {i : Nat} : xs.toList[i]? = xs[i]? := by
simp only [getElem?_def, getElem_toList]
simp only [Array.size]
simp [getElem?_def]
/-- `a ∈ as` is a predicate which asserts that `a` is in the array `as`. -/
-- NB: This is defined as a structure rather than a plain def so that a lemma
@@ -170,7 +167,7 @@ Low-level indexing operator which is as fast as a C array read.
This avoids overhead due to unboxing a `Nat` used as an index.
-/
@[extern "lean_array_uget", simp, expose]
@[extern "lean_array_uget", simp]
def uget (a : @& Array α) (i : USize) (h : i.toNat < a.size) : α :=
a[i.toNat]
@@ -193,7 +190,7 @@ Examples:
* `#["orange", "yellow"].pop = #["orange"]`
* `(#[] : Array String).pop = #[]`
-/
@[extern "lean_array_pop", expose]
@[extern "lean_array_pop"]
def pop (xs : Array α) : Array α where
toList := xs.toList.dropLast
@@ -212,7 +209,7 @@ Examples:
* `Array.replicate 3 () = #[(), (), ()]`
* `Array.replicate 0 "anything" = #[]`
-/
@[extern "lean_mk_array", expose]
@[extern "lean_mk_array"]
def replicate {α : Type u} (n : Nat) (v : α) : Array α where
toList := List.replicate n v
@@ -240,7 +237,7 @@ Examples:
* `#["red", "green", "blue", "brown"].swap 1 2 = #["red", "blue", "green", "brown"]`
* `#["red", "green", "blue", "brown"].swap 3 0 = #["brown", "green", "blue", "red"]`
-/
@[extern "lean_array_fswap", expose]
@[extern "lean_array_fswap"]
def swap (xs : Array α) (i j : @& Nat) (hi : i < xs.size := by get_elem_tactic) (hj : j < xs.size := by get_elem_tactic) : Array α :=
let v₁ := xs[i]
let v₂ := xs[j]
@@ -248,7 +245,7 @@ def swap (xs : Array α) (i j : @& Nat) (hi : i < xs.size := by get_elem_tactic)
xs'.set j v₁ (Nat.lt_of_lt_of_eq hj (size_set _).symm)
@[simp] theorem size_swap {xs : Array α} {i j : Nat} {hi hj} : (xs.swap i j hi hj).size = xs.size := by
change ((xs.set i xs[j]).set j xs[i]
show ((xs.set i xs[j]).set j xs[i]
(Nat.lt_of_lt_of_eq hj (size_set _).symm)).size = xs.size
rw [size_set, size_set]
@@ -270,6 +267,8 @@ def swapIfInBounds (xs : Array α) (i j : @& Nat) : Array α :=
else xs
else xs
@[deprecated swapIfInBounds (since := "2024-11-24")] abbrev swap! := @swapIfInBounds
/-! ### GetElem instance for `USize`, backed by `uget` -/
instance : GetElem (Array α) USize α fun xs i => i.toNat < xs.size where
@@ -291,7 +290,6 @@ Examples:
* `#[1, 2].isEmpty = false`
* `#[()].isEmpty = false`
-/
@[expose]
def isEmpty (xs : Array α) : Bool :=
xs.size = 0
@@ -377,7 +375,7 @@ Examples:
* `Array.singleton 5 = #[5]`
* `Array.singleton "one" = #["one"]`
-/
@[inline, expose] protected def singleton (v : α) : Array α := #[v]
@[inline] protected def singleton (v : α) : Array α := #[v]
/--
Returns the last element of an array, or panics if the array is empty.
@@ -406,7 +404,7 @@ that requires a proof the array is non-empty.
def back? (xs : Array α) : Option α :=
xs[xs.size - 1]?
@[deprecated "Use `a[i]?` instead." (since := "2025-02-12"), expose]
@[deprecated "Use `a[i]?` instead." (since := "2025-02-12")]
def get? (xs : Array α) (i : Nat) : Option α :=
if h : i < xs.size then some xs[i] else none
@@ -420,7 +418,7 @@ Examples:
* `#["spinach", "broccoli", "carrot"].swapAt 1 "pepper" = ("broccoli", #["spinach", "pepper", "carrot"])`
* `#["spinach", "broccoli", "carrot"].swapAt 2 "pepper" = ("carrot", #["spinach", "broccoli", "pepper"])`
-/
@[inline, expose] def swapAt (xs : Array α) (i : Nat) (v : α) (hi : i < xs.size := by get_elem_tactic) : α × Array α :=
@[inline] def swapAt (xs : Array α) (i : Nat) (v : α) (hi : i < xs.size := by get_elem_tactic) : α × Array α :=
let e := xs[i]
let xs' := xs.set i v
(e, xs')
@@ -435,7 +433,7 @@ Examples:
* `#["spinach", "broccoli", "carrot"].swapAt! 1 "pepper" = (#["spinach", "pepper", "carrot"], "broccoli")`
* `#["spinach", "broccoli", "carrot"].swapAt! 2 "pepper" = (#["spinach", "broccoli", "pepper"], "carrot")`
-/
@[inline, expose]
@[inline]
def swapAt! (xs : Array α) (i : Nat) (v : α) : α × Array α :=
if h : i < xs.size then
swapAt xs i v
@@ -581,7 +579,7 @@ def modifyOp (xs : Array α) (idx : Nat) (f : αα) : Array α :=
loop 0 b
/-- Reference implementation for `forIn'` -/
@[implemented_by Array.forIn'Unsafe, expose]
@[implemented_by Array.forIn'Unsafe]
protected def forIn' {α : Type u} {β : Type v} {m : Type v Type w} [Monad m] (as : Array α) (b : β) (f : (a : α) a as β m (ForInStep β)) : m β :=
let rec loop (i : Nat) (h : i as.size) (b : β) : m β := do
match i, h with
@@ -648,7 +646,7 @@ example [Monad m] (f : α → β → m α) :
```
-/
-- Reference implementation for `foldlM`
@[implemented_by foldlMUnsafe, expose]
@[implemented_by foldlMUnsafe]
def foldlM {α : Type u} {β : Type v} {m : Type v Type w} [Monad m] (f : β α m β) (init : β) (as : Array α) (start := 0) (stop := as.size) : m β :=
let fold (stop : Nat) (h : stop as.size) :=
let rec loop (i : Nat) (j : Nat) (b : β) : m β := do
@@ -713,7 +711,7 @@ example [Monad m] (f : α → β → m β) :
```
-/
-- Reference implementation for `foldrM`
@[implemented_by foldrMUnsafe, expose]
@[implemented_by foldrMUnsafe]
def foldrM {α : Type u} {β : Type v} {m : Type v Type w} [Monad m] (f : α β m β) (init : β) (as : Array α) (start := as.size) (stop := 0) : m β :=
let rec fold (i : Nat) (h : i as.size) (b : β) : m β := do
if i == stop then
@@ -768,11 +766,13 @@ def mapM {α : Type u} {β : Type v} {m : Type v → Type w} [Monad m] (f : α
decreasing_by simp_wf; decreasing_trivial_pre_omega
map 0 (emptyWithCapacity as.size)
@[deprecated mapM (since := "2024-11-11")] abbrev sequenceMap := @mapM
/--
Applies the monadic action `f` to every element in the array, along with the element's index and a
proof that the index is in bounds, from left to right. Returns the array of results.
-/
@[inline, expose]
@[inline]
def mapFinIdxM {α : Type u} {β : Type v} {m : Type v Type w} [Monad m]
(as : Array α) (f : (i : Nat) α (h : i < as.size) m β) : m (Array β) :=
let rec @[specialize] map (i : Nat) (j : Nat) (inv : i + j = as.size) (bs : Array β) : m (Array β) := do
@@ -790,7 +790,7 @@ def mapFinIdxM {α : Type u} {β : Type v} {m : Type v → Type w} [Monad m]
Applies the monadic action `f` to every element in the array, along with the element's index, from
left to right. Returns the array of results.
-/
@[inline, expose]
@[inline]
def mapIdxM {α : Type u} {β : Type v} {m : Type v Type w} [Monad m] (f : Nat α m β) (as : Array α) : m (Array β) :=
as.mapFinIdxM fun i a _ => f i a
@@ -836,7 +836,7 @@ Almost! 5
some 10
```
-/
@[inline, expose]
@[inline]
def findSomeM? {α : Type u} {β : Type v} {m : Type v Type w} [Monad m] (f : α m (Option β)) (as : Array α) : m (Option β) := do
for a in as do
match ( f a) with
@@ -917,7 +917,7 @@ The optional parameters `start` and `stop` control the region of the array to be
elements with indices from `start` (inclusive) to `stop` (exclusive) are checked. By default, the
entire array is checked.
-/
@[implemented_by anyMUnsafe, expose]
@[implemented_by anyMUnsafe]
def anyM {α : Type u} {m : Type Type w} [Monad m] (p : α m Bool) (as : Array α) (start := 0) (stop := as.size) : m Bool :=
let any (stop : Nat) (h : stop as.size) :=
let rec @[semireducible] -- This is otherwise irreducible because it uses well-founded recursion.
@@ -1059,7 +1059,7 @@ Examples:
* `#[1, 2, 3].foldl (· ++ toString ·) "" = "123"`
* `#[1, 2, 3].foldl (s!"({·} {·})") "" = "((( 1) 2) 3)"`
-/
@[inline, expose]
@[inline]
def foldl {α : Type u} {β : Type v} (f : β α β) (init : β) (as : Array α) (start := 0) (stop := as.size) : β :=
Id.run <| as.foldlM (pure <| f · ·) init start stop
@@ -1076,7 +1076,7 @@ Examples:
* `#[1, 2, 3].foldr (toString · ++ ·) "" = "123"`
* `#[1, 2, 3].foldr (s!"({·} {·})") "!" = "(1 (2 (3 !)))"`
-/
@[inline, expose]
@[inline]
def foldr {α : Type u} {β : Type v} (f : α β β) (init : β) (as : Array α) (start := as.size) (stop := 0) : β :=
Id.run <| as.foldrM (pure <| f · ·) init start stop
@@ -1087,7 +1087,7 @@ Examples:
* `#[a, b, c].sum = a + (b + (c + 0))`
* `#[1, 2, 5].sum = 8`
-/
@[inline, expose]
@[inline]
def sum {α} [Add α] [Zero α] : Array α α :=
foldr (· + ·) 0
@@ -1099,7 +1099,7 @@ Examples:
* `#[1, 2, 3, 4, 5].countP (· < 5) = 4`
* `#[1, 2, 3, 4, 5].countP (· > 5) = 0`
-/
@[inline, expose]
@[inline]
def countP {α : Type u} (p : α Bool) (as : Array α) : Nat :=
as.foldr (init := 0) fun a acc => bif p a then acc + 1 else acc
@@ -1111,7 +1111,7 @@ Examples:
* `#[1, 1, 2, 3, 5].count 5 = 1`
* `#[1, 1, 2, 3, 5].count 4 = 0`
-/
@[inline, expose]
@[inline]
def count {α : Type u} [BEq α] (a : α) (as : Array α) : Nat :=
countP (· == a) as
@@ -1124,7 +1124,7 @@ Examples:
* `#["one", "two", "three"].map (·.length) = #[3, 3, 5]`
* `#["one", "two", "three"].map (·.reverse) = #["eno", "owt", "eerht"]`
-/
@[inline, expose]
@[inline]
def map {α : Type u} {β : Type v} (f : α β) (as : Array α) : Array β :=
Id.run <| as.mapM (pure <| f ·)
@@ -1139,7 +1139,7 @@ that the index is valid.
`Array.mapIdx` is a variant that does not provide the function with evidence that the index is
valid.
-/
@[inline, expose]
@[inline]
def mapFinIdx {α : Type u} {β : Type v} (as : Array α) (f : (i : Nat) α (h : i < as.size) β) : Array β :=
Id.run <| as.mapFinIdxM (pure <| f · · ·)
@@ -1150,7 +1150,7 @@ returning the array of results.
`Array.mapFinIdx` is a variant that additionally provides the function with a proof that the index
is valid.
-/
@[inline, expose]
@[inline]
def mapIdx {α : Type u} {β : Type v} (f : Nat α β) (as : Array α) : Array β :=
Id.run <| as.mapIdxM (pure <| f · ·)
@@ -1161,7 +1161,6 @@ Examples:
* `#[a, b, c].zipIdx = #[(a, 0), (b, 1), (c, 2)]`
* `#[a, b, c].zipIdx 5 = #[(a, 5), (b, 6), (c, 7)]`
-/
@[expose]
def zipIdx (xs : Array α) (start := 0) : Array (α × Nat) :=
xs.mapIdx fun i a => (a, start + i)
@@ -1175,7 +1174,7 @@ Examples:
* `#[7, 6, 5, 8, 1, 2, 6].find? (· < 5) = some 1`
* `#[7, 6, 5, 8, 1, 2, 6].find? (· < 1) = none`
-/
@[inline, expose]
@[inline]
def find? {α : Type u} (p : α Bool) (as : Array α) : Option α :=
Id.run do
for a in as do
@@ -1199,7 +1198,7 @@ Example:
some 10
```
-/
@[inline, expose]
@[inline]
def findSome? {α : Type u} {β : Type v} (f : α Option β) (as : Array α) : Option β :=
Id.run <| as.findSomeM? (pure <| f ·)
@@ -1257,7 +1256,7 @@ Examples:
* `#[7, 6, 5, 8, 1, 2, 6].findIdx (· < 5) = some 4`
* `#[7, 6, 5, 8, 1, 2, 6].findIdx (· < 1) = none`
-/
@[inline, expose]
@[inline]
def findIdx? {α : Type u} (p : α Bool) (as : Array α) : Option Nat :=
let rec @[semireducible] -- This is otherwise irreducible because it uses well-founded recursion.
loop (j : Nat) :=
@@ -1311,7 +1310,7 @@ Examples:
* `#[7, 6, 5, 8, 1, 2, 6].findIdx (· < 5) = 4`
* `#[7, 6, 5, 8, 1, 2, 6].findIdx (· < 1) = 7`
-/
@[inline, expose]
@[inline]
def findIdx (p : α Bool) (as : Array α) : Nat := (as.findIdx? p).getD as.size
@[semireducible] -- This is otherwise irreducible because it uses well-founded recursion.
@@ -1365,6 +1364,10 @@ Examples:
def idxOf? [BEq α] (xs : Array α) (v : α) : Option Nat :=
(xs.finIdxOf? v).map (·.val)
@[deprecated idxOf? (since := "2024-11-20")]
def getIdx? [BEq α] (xs : Array α) (v : α) : Option Nat :=
xs.findIdx? fun a => a == v
/--
Returns `true` if `p` returns `true` for any element of `as`.
@@ -1380,7 +1383,7 @@ Examples:
* `#[2, 4, 5, 6].any (· % 2 = 0) = true`
* `#[2, 4, 5, 6].any (· % 2 = 1) = true`
-/
@[inline, expose]
@[inline]
def any (as : Array α) (p : α Bool) (start := 0) (stop := as.size) : Bool :=
Id.run <| as.anyM (pure <| p ·) start stop
@@ -1411,7 +1414,6 @@ Examples:
* `#[1, 4, 2, 3, 3, 7].contains 3 = true`
* `Array.contains #[1, 4, 2, 3, 3, 7] 5 = false`
-/
@[expose]
def contains [BEq α] (as : Array α) (a : α) : Bool :=
as.any (a == ·)
@@ -1460,7 +1462,6 @@ Examples:
* `#[] ++ #[4, 5] = #[4, 5]`.
* `#[1, 2, 3] ++ #[] = #[1, 2, 3]`.
-/
@[expose]
protected def append (as : Array α) (bs : Array α) : Array α :=
bs.foldl (init := as) fun xs v => xs.push v
@@ -1498,7 +1499,7 @@ Examples:
* `#[2, 3, 2].flatMap Array.range = #[0, 1, 0, 1, 2, 0, 1]`
* `#[['a', 'b'], ['c', 'd', 'e']].flatMap List.toArray = #['a', 'b', 'c', 'd', 'e']`
-/
@[inline, expose]
@[inline]
def flatMap (f : α Array β) (as : Array α) : Array β :=
as.foldl (init := empty) fun bs a => bs ++ f a
@@ -1511,7 +1512,7 @@ Examples:
* `#[#[0, 1], #[], #[2], #[1, 0, 1]].flatten = #[0, 1, 2, 1, 0, 1]`
* `(#[] : Array Nat).flatten = #[]`
-/
@[inline, expose] def flatten (xss : Array (Array α)) : Array α :=
@[inline] def flatten (xss : Array (Array α)) : Array α :=
xss.foldl (init := empty) fun acc xs => acc ++ xs
/--
@@ -1524,7 +1525,6 @@ Examples:
* `#[0, 1].reverse = #[1, 0]`
* `#[0, 1, 2].reverse = #[2, 1, 0]`
-/
@[expose]
def reverse (as : Array α) : Array α :=
if h : as.size 1 then
as
@@ -1557,7 +1557,7 @@ Examples:
* `#[1, 2, 5, 2, 7, 7].filter (fun _ => true) (start := 3) = #[2, 7, 7]`
* `#[1, 2, 5, 2, 7, 7].filter (fun _ => true) (stop := 3) = #[1, 2, 5]`
-/
@[inline, expose]
@[inline]
def filter (p : α Bool) (as : Array α) (start := 0) (stop := as.size) : Array α :=
as.foldl (init := #[]) (start := start) (stop := stop) fun acc a =>
if p a then acc.push a else acc
@@ -1650,7 +1650,7 @@ Examining 7
#[10, 14, 14]
```
-/
@[specialize, expose]
@[specialize]
def filterMapM [Monad m] (f : α m (Option β)) (as : Array α) (start := 0) (stop := as.size) : m (Array β) :=
as.foldlM (init := #[]) (start := start) (stop := stop) fun bs a => do
match ( f a) with
@@ -1670,7 +1670,7 @@ Example:
#[10, 14, 14]
```
-/
@[inline, expose]
@[inline]
def filterMap (f : α Option β) (as : Array α) (start := 0) (stop := as.size) : Array β :=
Id.run <| as.filterMapM (pure <| f ·) (start := start) (stop := stop)
@@ -1790,7 +1790,7 @@ decreasing_by simp_wf; exact Nat.sub_succ_lt_self _ _ h
induction xs, i, h using Array.eraseIdx.induct with
| @case1 xs i h h' xs' ih =>
unfold eraseIdx
simp +zetaDelta [h', ih]
simp +zetaDelta [h', xs', ih]
| case2 xs i h h' =>
unfold eraseIdx
simp [h']
@@ -1883,6 +1883,8 @@ Examples:
let as := as.push a
loop as j, size_push .. j.lt_succ_self
@[deprecated insertIdx (since := "2024-11-20")] abbrev insertAt := @insertIdx
/--
Inserts an element into an array at the specified index. Panics if the index is greater than the
size of the array.
@@ -1903,6 +1905,8 @@ def insertIdx! (as : Array α) (i : Nat) (a : α) : Array α :=
insertIdx as i a
else panic! "invalid index"
@[deprecated insertIdx! (since := "2024-11-20")] abbrev insertAt! := @insertIdx!
/--
Inserts an element into an array at the specified index. The array is returned unmodified if the
index is greater than the size of the array.
@@ -2025,6 +2029,11 @@ Examples:
def unzip (as : Array (α × β)) : Array α × Array β :=
as.foldl (init := (#[], #[])) fun (as, bs) (a, b) => (as.push a, bs.push b)
@[deprecated partition (since := "2024-11-06")]
def split (as : Array α) (p : α Bool) : Array α × Array α :=
as.foldl (init := (#[], #[])) fun (as, bs) a =>
if p a then (as.push a, bs) else (as, bs.push a)
/--
Replaces the first occurrence of `a` with `b` in an array. The modification is performed in-place
when the reference to the array is unique. Returns the array unmodified when `a` is not present.

View File

@@ -6,11 +6,9 @@ Authors: Leonardo de Moura
module
prelude
public import all Init.Data.Array.Basic
public import Init.Data.Nat.Linear
public import Init.NotationExtra
public section
import all Init.Data.Array.Basic
import Init.Data.Nat.Linear
import Init.NotationExtra
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
set_option linter.indexVariables true -- Enforce naming conventions for index variables.

View File

@@ -6,11 +6,9 @@ Authors: Leonardo de Moura
module
prelude
public import Init.Data.Array.Basic
public import Init.Data.Int.DivMod.Lemmas
public import Init.Omega
public section
import Init.Data.Array.Basic
import Init.Data.Int.DivMod.Lemmas
import Init.Omega
universe u v
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.

View File

@@ -7,10 +7,8 @@ Authors: Mario Carneiro
module
prelude
public import Init.Data.List.TakeDrop
public import all Init.Data.Array.Basic
public section
import Init.Data.List.TakeDrop
import all Init.Data.Array.Basic
/-!
## Bootstrapping theorems about arrays
@@ -42,7 +40,7 @@ Use the indexing notation `a[i]!` instead.
Access an element from an array, or panic if the index is out of bounds.
-/
@[deprecated "Use indexing notation `as[i]!` instead" (since := "2025-02-17"), expose]
@[deprecated "Use indexing notation `as[i]!` instead" (since := "2025-02-17")]
def get! {α : Type u} [Inhabited α] (a : @& Array α) (i : @& Nat) : α :=
Array.getD a i default
@@ -80,8 +78,7 @@ theorem foldrM_eq_reverse_foldlM_toList [Monad m] {f : α → β → m β} {init
have : xs = #[] 0 < xs.size :=
match xs with | [] => .inl rfl | a::l => .inr (Nat.zero_lt_succ _)
match xs, this with | _, .inl rfl => simp [foldrM] | xs, .inr h => ?_
simp only [foldrM, h, foldrM_eq_reverse_foldlM_toList.aux]
simp [Array.size]
simp [foldrM, h, foldrM_eq_reverse_foldlM_toList.aux, List.take_length]
@[simp, grind =] theorem foldrM_toList [Monad m]
{f : α β m β} {init : β} {xs : Array α} :
@@ -121,13 +118,13 @@ abbrev pop_toList := @Array.toList_pop
@[simp] theorem toList_empty : (#[] : Array α).toList = [] := rfl
@[simp, grind =] theorem append_empty {xs : Array α} : xs ++ #[] = xs := by
apply ext'; simp only [toList_append, List.append_nil]
apply ext'; simp only [toList_append, toList_empty, 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]
apply ext'; simp only [toList_append, toList_empty, List.nil_append]
@[deprecated empty_append (since := "2025-01-13")]
abbrev nil_append := @empty_append
@@ -145,4 +142,26 @@ abbrev nil_append := @empty_append
@[deprecated toList_appendList (since := "2024-12-11")]
abbrev appendList_toList := @toList_appendList
@[deprecated "Use the reverse direction of `foldrM_toList`." (since := "2024-11-13")]
theorem foldrM_eq_foldrM_toList [Monad m]
{f : α β m β} {init : β} {xs : Array α} :
xs.foldrM f init = xs.toList.foldrM f init := by
simp
@[deprecated "Use the reverse direction of `foldlM_toList`." (since := "2024-11-13")]
theorem foldlM_eq_foldlM_toList [Monad m]
{f : β α m β} {init : β} {xs : Array α} :
xs.foldlM f init = xs.toList.foldlM f init:= by
simp
@[deprecated "Use the reverse direction of `foldr_toList`." (since := "2024-11-13")]
theorem foldr_eq_foldr_toList {f : α β β} {init : β} {xs : Array α} :
xs.foldr f init = xs.toList.foldr f init := by
simp
@[deprecated "Use the reverse direction of `foldl_toList`." (since := "2024-11-13")]
theorem foldl_eq_foldl_toList {f : β α β} {init : β} {xs : Array α} :
xs.foldl f init = xs.toList.foldl f init:= by
simp
end Array

View File

@@ -6,11 +6,9 @@ Authors: Kim Morrison
module
prelude
public import all Init.Data.Array.Basic
public import Init.Data.Array.Lemmas
public import Init.Data.List.Nat.Count
public section
import all Init.Data.Array.Basic
import Init.Data.Array.Lemmas
import Init.Data.List.Nat.Count
/-!
# Lemmas about `Array.countP` and `Array.count`.
@@ -54,7 +52,6 @@ theorem countP_push {a : α} {xs : Array α} : countP p (xs.push a) = countP p x
rcases xs with xs
simp_all
@[grind =]
theorem countP_singleton {a : α} : countP p #[a] = if p a then 1 else 0 := by
simp
@@ -62,12 +59,10 @@ theorem size_eq_countP_add_countP {xs : Array α} : xs.size = countP p xs + coun
rcases xs with xs
simp [List.length_eq_countP_add_countP (p := p)]
@[grind _=_]
theorem countP_eq_size_filter {xs : Array α} : countP p xs = (filter p xs).size := by
rcases xs with xs
simp [List.countP_eq_length_filter]
@[grind =]
theorem countP_eq_size_filter' : countP p = size filter p := by
funext xs
apply countP_eq_size_filter
@@ -76,7 +71,7 @@ theorem countP_le_size : countP p xs ≤ xs.size := by
simp only [countP_eq_size_filter]
apply size_filter_le
@[simp, grind =] theorem countP_append {xs ys : Array α} : countP p (xs ++ ys) = countP p xs + countP p ys := by
@[simp] theorem countP_append {xs ys : Array α} : countP p (xs ++ ys) = countP p xs + countP p ys := by
rcases xs with xs
rcases ys with ys
simp
@@ -107,11 +102,9 @@ theorem boole_getElem_le_countP {xs : Array α} {i : Nat} (h : i < xs.size) :
rcases xs with xs
simp [List.boole_getElem_le_countP]
@[grind =]
theorem countP_set {xs : Array α} {i : Nat} {a : α} (h : i < xs.size) :
(xs.set i a).countP p = xs.countP p - (if p xs[i] then 1 else 0) + (if p a then 1 else 0) := by
rcases xs with xs
simp at h
simp [List.countP_set, h]
theorem countP_filter {xs : Array α} :
@@ -152,7 +145,7 @@ theorem countP_flatMap {p : β → Bool} {xs : Array α} {f : α → Array β} :
rcases xs with xs
simp [List.countP_flatMap, Function.comp_def]
@[simp, grind =] theorem countP_reverse {xs : Array α} : countP p xs.reverse = countP p xs := by
@[simp] theorem countP_reverse {xs : Array α} : countP p xs.reverse = countP p xs := by
rcases xs with xs
simp [List.countP_reverse]
@@ -179,7 +172,7 @@ variable [BEq α]
cases xs
simp
@[simp, grind =] theorem count_empty {a : α} : count a #[] = 0 := rfl
@[simp] theorem count_empty {a : α} : count a #[] = 0 := rfl
theorem count_push {a b : α} {xs : Array α} :
count a (xs.push b) = count a xs + if b == a then 1 else 0 := by
@@ -192,28 +185,21 @@ theorem count_eq_countP' {a : α} : count a = countP (· == a) := by
theorem count_le_size {a : α} {xs : Array α} : count a xs xs.size := countP_le_size
grind_pattern count_le_size => count a xs
@[grind =]
theorem count_eq_size_filter {a : α} {xs : Array α} : count a xs = (filter (· == a) xs).size := by
simp [count, countP_eq_size_filter]
theorem count_le_count_push {a b : α} {xs : Array α} : count a xs count a (xs.push b) := by
simp [count_push]
@[grind =]
theorem count_singleton {a b : α} : count a #[b] = if b == a then 1 else 0 := by
simp [count_eq_countP]
@[simp, grind =] theorem count_append {a : α} {xs ys : Array α} : count a (xs ++ ys) = count a xs + count a ys :=
@[simp] theorem count_append {a : α} {xs ys : Array α} : count a (xs ++ ys) = count a xs + count a ys :=
countP_append
@[simp, grind =] theorem count_flatten {a : α} {xss : Array (Array α)} :
@[simp] theorem count_flatten {a : α} {xss : Array (Array α)} :
count a xss.flatten = (xss.map (count a)).sum := by
cases xss using array₂_induction
simp [List.count_flatten, Function.comp_def]
@[simp, grind =] theorem count_reverse {a : α} {xs : Array α} : count a xs.reverse = count a xs := by
@[simp] theorem count_reverse {a : α} {xs : Array α} : count a xs.reverse = count a xs := by
rcases xs with xs
simp
@@ -222,10 +208,9 @@ theorem boole_getElem_le_count {xs : Array α} {i : Nat} {a : α} (h : i < xs.si
rw [count_eq_countP]
apply boole_getElem_le_countP (p := (· == a))
@[grind =]
theorem count_set {xs : Array α} {i : Nat} {a b : α} (h : i < xs.size) :
(xs.set i a).count b = xs.count b - (if xs[i] == b then 1 else 0) + (if a == b then 1 else 0) := by
simp [count_eq_countP, countP_set]
simp [count_eq_countP, countP_set, h]
variable [LawfulBEq α]
@@ -233,7 +218,7 @@ variable [LawfulBEq α]
simp [count_push]
@[simp] theorem count_push_of_ne {xs : Array α} (h : b a) : count a (xs.push b) = count a xs := by
simp_all [count_push]
simp_all [count_push, h]
theorem count_singleton_self {a : α} : count a #[a] = 1 := by simp
@@ -294,17 +279,17 @@ abbrev mkArray_count_eq_of_count_eq_size := @replicate_count_eq_of_count_eq_size
theorem count_le_count_map [BEq β] [LawfulBEq β] {xs : Array α} {f : α β} {x : α} :
count x xs count (f x) (map f xs) := by
rcases xs with xs
simp [List.count_le_count_map]
simp [List.count_le_count_map, countP_map]
theorem count_filterMap {α} [BEq β] {b : β} {f : α Option β} {xs : Array α} :
count b (filterMap f xs) = countP (fun a => f a == some b) xs := by
rcases xs with xs
simp [List.count_filterMap]
simp [List.count_filterMap, countP_filterMap]
theorem count_flatMap {α} [BEq β] {xs : Array α} {f : α Array β} {x : β} :
count x (xs.flatMap f) = sum (map (count x f) xs) := by
rcases xs with xs
simp [List.count_flatMap, Function.comp_def]
simp [List.count_flatMap, countP_flatMap, Function.comp_def]
theorem countP_replace {a b : α} {xs : Array α} {p : α Bool} :
(xs.replace a b).countP p =

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@@ -6,12 +6,10 @@ Authors: Leonardo de Moura
module
prelude
public import all Init.Data.Array.Basic
public import Init.Data.BEq
public import Init.Data.List.Nat.BEq
public import Init.ByCases
public section
import all Init.Data.Array.Basic
import Init.Data.BEq
import Init.Data.List.Nat.BEq
import Init.ByCases
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
set_option linter.indexVariables true -- Enforce naming conventions for index variables.
@@ -25,7 +23,7 @@ private theorem rel_of_isEqvAux
induction i with
| zero => contradiction
| succ i ih =>
simp only [Array.isEqvAux, Bool.and_eq_true] at heqv
simp only [Array.isEqvAux, Bool.and_eq_true, decide_eq_true_eq] at heqv
by_cases hj' : j < i
next =>
exact ih _ heqv.right hj'
@@ -71,7 +69,7 @@ theorem isEqv_eq_decide (xs ys : Array α) (r) :
simpa [isEqv_iff_rel] using h'
@[simp, grind =] theorem isEqv_toList [BEq α] (xs ys : Array α) : (xs.toList.isEqv ys.toList r) = (xs.isEqv ys r) := by
simp [isEqv_eq_decide, List.isEqv_eq_decide, Array.size]
simp [isEqv_eq_decide, List.isEqv_eq_decide]
theorem eq_of_isEqv [DecidableEq α] (xs ys : Array α) (h : Array.isEqv xs ys (fun x y => x = y)) : xs = ys := by
have h, h' := rel_of_isEqv h
@@ -102,7 +100,7 @@ theorem beq_eq_decide [BEq α] (xs ys : Array α) :
simp [BEq.beq, isEqv_eq_decide]
@[simp, grind =] theorem beq_toList [BEq α] (xs ys : Array α) : (xs.toList == ys.toList) = (xs == ys) := by
simp [beq_eq_decide, List.beq_eq_decide, Array.size]
simp [beq_eq_decide, List.beq_eq_decide]
end Array

View File

@@ -6,12 +6,10 @@ Authors: Kim Morrison
module
prelude
public import all Init.Data.Array.Basic
public import Init.Data.Array.Lemmas
public import Init.Data.List.Nat.Erase
public import Init.Data.List.Nat.Basic
public section
import all Init.Data.Array.Basic
import Init.Data.Array.Lemmas
import Init.Data.List.Nat.Erase
import Init.Data.List.Nat.Basic
/-!
# Lemmas about `Array.eraseP`, `Array.erase`, and `Array.eraseIdx`.
@@ -26,7 +24,6 @@ open Nat
/-! ### eraseP -/
@[grind =]
theorem eraseP_empty : #[].eraseP p = #[] := by simp
theorem eraseP_of_forall_mem_not {xs : Array α} (h : a, a xs ¬p a) : xs.eraseP p = xs := by
@@ -67,7 +64,6 @@ theorem exists_or_eq_self_of_eraseP (p) (xs : Array α) :
let _, ys, zs, _, _, e₁, e₂ := exists_of_eraseP al pa
rw [e₂]; simp [size_append, e₁]
@[grind =]
theorem size_eraseP {xs : Array α} : (xs.eraseP p).size = if xs.any p then xs.size - 1 else xs.size := by
split <;> rename_i h
· simp only [any_eq_true] at h
@@ -85,12 +81,11 @@ theorem le_size_eraseP {xs : Array α} : xs.size - 1 ≤ (xs.eraseP p).size := b
rcases xs with xs
simpa using List.le_length_eraseP
@[grind ]
theorem mem_of_mem_eraseP {xs : Array α} : a xs.eraseP p a xs := by
rcases xs with xs
simpa using List.mem_of_mem_eraseP
@[simp, grind] theorem mem_eraseP_of_neg {xs : Array α} (pa : ¬p a) : a xs.eraseP p a xs := by
@[simp] theorem mem_eraseP_of_neg {xs : Array α} (pa : ¬p a) : a xs.eraseP p a xs := by
rcases xs with xs
simpa using List.mem_eraseP_of_neg pa
@@ -98,18 +93,15 @@ theorem mem_of_mem_eraseP {xs : Array α} : a ∈ xs.eraseP p → a ∈ xs := by
rcases xs with xs
simp
@[grind _=_]
theorem eraseP_map {f : β α} {xs : Array β} : (xs.map f).eraseP p = (xs.eraseP (p f)).map f := by
rcases xs with xs
simpa using List.eraseP_map
@[grind =]
theorem eraseP_filterMap {f : α Option β} {xs : Array α} :
(filterMap f xs).eraseP p = filterMap f (xs.eraseP (fun x => match f x with | some y => p y | none => false)) := by
rcases xs with xs
simpa using List.eraseP_filterMap
@[grind =]
theorem eraseP_filter {f : α Bool} {xs : Array α} :
(filter f xs).eraseP p = filter f (xs.eraseP (fun x => p x && f x)) := by
rcases xs with xs
@@ -127,7 +119,6 @@ theorem eraseP_append_right {xs : Array α} ys (h : ∀ b ∈ xs, ¬p b) :
rcases ys with ys
simpa using List.eraseP_append_right ys (by simpa using h)
@[grind =]
theorem eraseP_append {xs : Array α} {ys : Array α} :
(xs ++ ys).eraseP p = if xs.any p then xs.eraseP p ++ ys else xs ++ ys.eraseP p := by
rcases xs with xs
@@ -135,7 +126,6 @@ theorem eraseP_append {xs : Array α} {ys : Array α} :
simp only [List.append_toArray, List.eraseP_toArray, List.eraseP_append, List.any_toArray]
split <;> simp
@[grind =]
theorem eraseP_replicate {n : Nat} {a : α} {p : α Bool} :
(replicate n a).eraseP p = if p a then replicate (n - 1) a else replicate n a := by
simp only [ List.toArray_replicate, List.eraseP_toArray, List.eraseP_replicate]
@@ -175,7 +165,6 @@ theorem eraseP_eq_iff {p} {xs : Array α} :
· exact Or.inl h
· exact Or.inr a, l₁, by simpa using h₁, h₂, l, by simp
@[grind =]
theorem eraseP_comm {xs : Array α} (h : a xs, ¬ p a ¬ q a) :
(xs.eraseP p).eraseP q = (xs.eraseP q).eraseP p := by
rcases xs with xs
@@ -208,7 +197,7 @@ theorem erase_eq_eraseP [LawfulBEq α] (a : α) (xs : Array α) : xs.erase a = x
theorem erase_ne_empty_iff [LawfulBEq α] {xs : Array α} {a : α} :
xs.erase a #[] xs #[] xs #[a] := by
rcases xs with xs
simp
simp [List.erase_ne_nil_iff]
theorem exists_erase_eq [LawfulBEq α] {a : α} {xs : Array α} (h : a xs) :
ys zs, a ys xs = ys.push a ++ zs xs.erase a = ys ++ zs := by
@@ -219,7 +208,6 @@ theorem exists_erase_eq [LawfulBEq α] {a : α} {xs : Array α} (h : a ∈ xs) :
(xs.erase a).size = xs.size - 1 := by
rw [erase_eq_eraseP]; exact size_eraseP_of_mem h (beq_self_eq_true a)
@[grind =]
theorem size_erase [LawfulBEq α] {a : α} {xs : Array α} :
(xs.erase a).size = if a xs then xs.size - 1 else xs.size := by
rw [erase_eq_eraseP, size_eraseP]
@@ -234,12 +222,11 @@ theorem le_size_erase [LawfulBEq α] {a : α} {xs : Array α} : xs.size - 1 ≤
rcases xs with xs
simpa using List.le_length_erase
@[grind ]
theorem mem_of_mem_erase {a b : α} {xs : Array α} (h : a xs.erase b) : a xs := by
rcases xs with xs
simpa using List.mem_of_mem_erase (by simpa using h)
@[simp, grind] theorem mem_erase_of_ne [LawfulBEq α] {a b : α} {xs : Array α} (ab : a b) :
@[simp] theorem mem_erase_of_ne [LawfulBEq α] {a b : α} {xs : Array α} (ab : a b) :
a xs.erase b a xs :=
erase_eq_eraseP b xs mem_eraseP_of_neg (mt eq_of_beq ab.symm)
@@ -247,7 +234,6 @@ theorem mem_of_mem_erase {a b : α} {xs : Array α} (h : a ∈ xs.erase b) : a
rw [erase_eq_eraseP', eraseP_eq_self_iff]
simp [forall_mem_ne']
@[grind _=_]
theorem erase_filter [LawfulBEq α] {f : α Bool} {xs : Array α} :
(filter f xs).erase a = filter f (xs.erase a) := by
rcases xs with xs
@@ -265,7 +251,6 @@ theorem erase_append_right [LawfulBEq α] {a : α} {xs : Array α} (ys : Array
rcases ys with ys
simpa using List.erase_append_right ys (by simpa using h)
@[grind =]
theorem erase_append [LawfulBEq α] {a : α} {xs ys : Array α} :
(xs ++ ys).erase a = if a xs then xs.erase a ++ ys else xs ++ ys.erase a := by
rcases xs with xs
@@ -273,7 +258,6 @@ theorem erase_append [LawfulBEq α] {a : α} {xs ys : Array α} :
simp only [List.append_toArray, List.erase_toArray, List.erase_append, mem_toArray]
split <;> simp
@[grind =]
theorem erase_replicate [LawfulBEq α] {n : Nat} {a b : α} :
(replicate n a).erase b = if b == a then replicate (n - 1) a else replicate n a := by
simp only [ List.toArray_replicate, List.erase_toArray]
@@ -285,7 +269,6 @@ abbrev erase_mkArray := @erase_replicate
-- The arguments `a b` are explicit,
-- so they can be specified to prevent `simp` repeatedly applying the lemma.
@[grind =]
theorem erase_comm [LawfulBEq α] (a b : α) {xs : Array α} :
(xs.erase a).erase b = (xs.erase b).erase a := by
rcases xs with xs
@@ -308,7 +291,7 @@ theorem erase_eq_iff [LawfulBEq α] {a : α} {xs : Array α} :
@[simp] theorem erase_replicate_self [LawfulBEq α] {a : α} :
(replicate n a).erase a = replicate (n - 1) a := by
simp only [ List.toArray_replicate, List.erase_toArray]
simp
simp [List.erase_replicate]
@[deprecated erase_replicate_self (since := "2025-03-18")]
abbrev erase_mkArray_self := @erase_replicate_self
@@ -329,7 +312,6 @@ theorem eraseIdx_eq_eraseIdxIfInBounds {xs : Array α} {i : Nat} (h : i < xs.siz
xs.eraseIdx i h = xs.eraseIdxIfInBounds i := by
simp [eraseIdxIfInBounds, h]
@[grind =]
theorem eraseIdx_eq_take_drop_succ {xs : Array α} {i : Nat} (h) :
xs.eraseIdx i h = xs.take i ++ xs.drop (i + 1) := by
rcases xs with xs
@@ -340,7 +322,6 @@ theorem eraseIdx_eq_take_drop_succ {xs : Array α} {i : Nat} (h) :
rw [List.take_of_length_le]
simp
@[grind =]
theorem getElem?_eraseIdx {xs : Array α} {i : Nat} (h : i < xs.size) {j : Nat} :
(xs.eraseIdx i)[j]? = if j < i then xs[j]? else xs[j + 1]? := by
rcases xs with xs
@@ -354,11 +335,10 @@ theorem getElem?_eraseIdx_of_lt {xs : Array α} {i : Nat} (h : i < xs.size) {j :
theorem getElem?_eraseIdx_of_ge {xs : Array α} {i : Nat} (h : i < xs.size) {j : Nat} (h' : i j) :
(xs.eraseIdx i)[j]? = xs[j + 1]? := by
rw [getElem?_eraseIdx]
simp only [ite_eq_right_iff]
simp only [dite_eq_ite, ite_eq_right_iff]
intro h'
omega
@[grind =]
theorem getElem_eraseIdx {xs : Array α} {i : Nat} (h : i < xs.size) {j : Nat} (h' : j < (xs.eraseIdx i).size) :
(xs.eraseIdx i)[j] = if h'' : j < i then
xs[j]
@@ -382,7 +362,6 @@ 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)
@@ -394,29 +373,13 @@ theorem eraseIdx_append_of_lt_size {xs : Array α} {k : Nat} (hk : k < xs.size)
simp at hk
simp [List.eraseIdx_append_of_lt_length, *]
theorem eraseIdx_append_of_size_le {xs : Array α} {k : Nat} (hk : xs.size k) (ys : Array α) (h) :
theorem eraseIdx_append_of_length_le {xs : Array α} {k : Nat} (hk : xs.size k) (ys : Array α) (h) :
eraseIdx (xs ++ ys) k = xs ++ eraseIdx ys (k - xs.size) (by simp at h; omega) := by
rcases xs with l
rcases ys with l'
simp at hk
simp [List.eraseIdx_append_of_length_le, *]
@[deprecated eraseIdx_append_of_size_le (since := "2025-06-11")]
abbrev eraseIdx_append_of_length_le := @eraseIdx_append_of_size_le
@[grind =]
theorem eraseIdx_append {xs ys : Array α} (h : k < (xs ++ ys).size) :
eraseIdx (xs ++ ys) k =
if h' : k < xs.size then
eraseIdx xs k ++ ys
else
xs ++ eraseIdx ys (k - xs.size) (by simp at h; omega) := by
split <;> rename_i h
· simp [eraseIdx_append_of_lt_size h]
· rw [eraseIdx_append_of_size_le]
omega
@[grind =]
theorem eraseIdx_replicate {n : Nat} {a : α} {k : Nat} {h} :
(replicate n a).eraseIdx k = replicate (n - 1) a := by
simp at h
@@ -465,48 +428,6 @@ theorem eraseIdx_set_gt {xs : Array α} {i : Nat} {j : Nat} {a : α} (h : i < j)
rcases xs with xs
simp [List.eraseIdx_set_gt, *]
@[grind =]
theorem eraseIdx_set {xs : Array α} {i : Nat} {a : α} {hi : i < xs.size} {j : Nat} {hj : j < (xs.set i a).size} :
(xs.set i a).eraseIdx j =
if h' : j < i then
(xs.eraseIdx j).set (i - 1) a (by simp; omega)
else if h'' : j = i then
xs.eraseIdx i
else
(xs.eraseIdx j (by simp at hj; omega)).set i a (by simp at hj ; omega) := by
split <;> rename_i h'
· rw [eraseIdx_set_lt]
omega
· split <;> rename_i h''
· subst h''
rw [eraseIdx_set_eq]
· rw [eraseIdx_set_gt]
omega
theorem set_eraseIdx_le {xs : Array α} {i : Nat} {w : i < xs.size} {j : Nat} {a : α} (h : i j) (hj : j < (xs.eraseIdx i).size) :
(xs.eraseIdx i).set j a = (xs.set (j + 1) a (by simp at hj; omega)).eraseIdx i (by simp at ; omega) := by
rw [eraseIdx_set_lt]
· simp
· omega
theorem set_eraseIdx_gt {xs : Array α} {i : Nat} {w : i < xs.size} {j : Nat} {a : α} (h : j < i) (hj : j < (xs.eraseIdx i).size) :
(xs.eraseIdx i).set j a = (xs.set j a).eraseIdx i (by simp at ; omega) := by
rw [eraseIdx_set_gt]
omega
@[grind =]
theorem set_eraseIdx {xs : Array α} {i : Nat} {w : i < xs.size} {j : Nat} {a : α} (hj : j < (xs.eraseIdx i).size) :
(xs.eraseIdx i).set j a =
if h' : i j then
(xs.set (j + 1) a (by simp at hj; omega)).eraseIdx i (by simp at ; omega)
else
(xs.set j a).eraseIdx i (by simp at ; omega) := by
split <;> rename_i h'
· rw [set_eraseIdx_le]
omega
· rw [set_eraseIdx_gt]
omega
@[simp] theorem set_getElem_succ_eraseIdx_succ
{xs : Array α} {i : Nat} (h : i + 1 < xs.size) :
(xs.eraseIdx (i + 1)).set i xs[i + 1] (by simp; omega) = xs.eraseIdx i := by

View File

@@ -6,10 +6,8 @@ Authors: Kim Morrison
module
prelude
public import Init.Data.Array.Lemmas
public import Init.Data.List.Nat.TakeDrop
public section
import Init.Data.Array.Lemmas
import Init.Data.List.Nat.TakeDrop
/-!
# Lemmas about `Array.extract`
@@ -31,7 +29,7 @@ namespace Array
· simp
omega
· simp only [size_extract] at h₁ h₂
simp
simp [h]
theorem size_extract_le {as : Array α} {i j : Nat} :
(as.extract i j).size j - i := by
@@ -48,47 +46,17 @@ theorem size_extract_of_le {as : Array α} {i j : Nat} (h : j ≤ as.size) :
simp
omega
@[grind =]
theorem extract_push {as : Array α} {b : α} {start stop : Nat} :
(as.push b).extract start stop =
if stop as.size then
as.extract start stop
else if start as.size then
(as.extract start as.size).push b
else #[] := by
split
· ext i h₁ h₂
· simp
omega
· simp only [size_extract, size_push] at h₁ h₂
simp only [getElem_extract, getElem_push]
rw [dif_pos (by omega)]
· split
· ext i h₁ h₂
· simp
omega
· simp only [size_extract, size_push] at h₁ h₂
simp only [getElem_extract, getElem_push]
split <;> rename_i h₃
· split
· rfl
· simp_all
omega
· split <;> rename_i h₄
· simp at h₄
omega
· rfl
· ext i h₁ h₂
· simp
omega
· simp at h₂
@[simp]
theorem extract_push {as : Array α} {b : α} {start stop : Nat} (h : stop as.size) :
(as.push b).extract start stop = as.extract start stop := by
ext i h₁ h₂
· simp
omega
· simp only [size_extract, size_push] at h₁ h₂
simp only [getElem_extract, getElem_push]
rw [dif_pos (by omega)]
@[simp]
theorem extract_push_of_le {as : Array α} {b : α} {start stop : Nat} (h : stop as.size) :
(as.push b).extract start stop = as.extract start stop := by
rw [extract_push, if_pos h]
@[simp, grind =]
theorem extract_eq_pop {as : Array α} {stop : Nat} (h : stop = as.size - 1) :
as.extract 0 stop = as.pop := by
ext i h₁ h₂
@@ -97,7 +65,7 @@ theorem extract_eq_pop {as : Array α} {stop : Nat} (h : stop = as.size - 1) :
· simp only [size_extract, size_pop] at h₁ h₂
simp [getElem_extract, getElem_pop]
@[simp, grind _=_]
@[simp]
theorem extract_append_extract {as : Array α} {i j k : Nat} :
as.extract i j ++ as.extract j k = as.extract (min i j) (max j k) := by
ext l h₁ h₂
@@ -194,14 +162,14 @@ theorem extract_sub_one {as : Array α} {i j : Nat} (h : j < as.size) :
@[simp]
theorem getElem?_extract_of_lt {as : Array α} {i j k : Nat} (h : k < min j as.size - i) :
(as.extract i j)[k]? = some (as[i + k]'(by omega)) := by
simp [h]
simp [getElem?_extract, h]
theorem getElem?_extract_of_succ {as : Array α} {j : Nat} :
(as.extract 0 (j + 1))[j]? = as[j]? := by
simp [getElem?_extract]
omega
@[simp, grind =] theorem extract_extract {as : Array α} {i j k l : Nat} :
@[simp] theorem extract_extract {as : Array α} {i j k l : Nat} :
(as.extract i j).extract k l = as.extract (i + k) (min (i + l) j) := by
ext m h₁ h₂
· simp
@@ -217,7 +185,6 @@ theorem ne_empty_of_extract_ne_empty {as : Array α} {i j : Nat} (h : as.extract
as #[] :=
mt extract_eq_empty_of_eq_empty h
@[grind =]
theorem extract_set {as : Array α} {i j k : Nat} (h : k < as.size) {a : α} :
(as.set k a).extract i j =
if _ : k < i then
@@ -244,14 +211,13 @@ theorem extract_set {as : Array α} {i j k : Nat} (h : k < as.size) {a : α} :
simp [getElem_set]
omega
@[grind =]
theorem set_extract {as : Array α} {i j k : Nat} (h : k < (as.extract i j).size) {a : α} :
(as.extract i j).set k a = (as.set (i + k) a (by simp at h; omega)).extract i j := by
ext l h₁ h₂
· simp
· simp_all [getElem_set]
@[simp, grind =]
@[simp]
theorem extract_append {as bs : Array α} {i j : Nat} :
(as ++ bs).extract i j = as.extract i j ++ bs.extract (i - as.size) (j - as.size) := by
ext l h₁ h₂
@@ -276,14 +242,14 @@ theorem extract_append_right {as bs : Array α} :
(as ++ bs).extract as.size (as.size + i) = bs.extract 0 i := by
simp
@[simp, grind =] theorem map_extract {as : Array α} {i j : Nat} :
@[simp] theorem map_extract {as : Array α} {i j : Nat} :
(as.extract i j).map f = (as.map f).extract i j := by
ext l h₁ h₂
· simp
· simp only [size_map, size_extract] at h₁ h₂
simp only [getElem_map, getElem_extract]
@[simp, grind =] theorem extract_replicate {a : α} {n i j : Nat} :
@[simp] theorem extract_replicate {a : α} {n i j : Nat} :
(replicate n a).extract i j = replicate (min j n - i) a := by
ext l h₁ h₂
· simp
@@ -331,7 +297,6 @@ theorem set_eq_push_extract_append_extract {as : Array α} {i : Nat} (h : i < as
simp at h
simp [List.set_eq_take_append_cons_drop, h, List.take_of_length_le]
@[grind =]
theorem extract_reverse {as : Array α} {i j : Nat} :
as.reverse.extract i j = (as.extract (as.size - j) (as.size - i)).reverse := by
ext l h₁ h₂
@@ -342,7 +307,6 @@ theorem extract_reverse {as : Array α} {i j : Nat} :
congr 1
omega
@[grind =]
theorem reverse_extract {as : Array α} {i j : Nat} :
(as.extract i j).reverse = as.reverse.extract (as.size - j) (as.size - i) := by
rw [extract_reverse]

View File

@@ -6,10 +6,8 @@ Authors: François G. Dorais
module
prelude
public import Init.Data.List.FinRange
public import Init.Data.Array.OfFn
public section
import Init.Data.List.FinRange
import Init.Data.Array.OfFn
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
set_option linter.indexVariables true -- Enforce naming conventions for index variables.
@@ -25,10 +23,10 @@ Examples:
-/
protected def finRange (n : Nat) : Array (Fin n) := ofFn fun i => i
@[simp, grind =] theorem size_finRange {n} : (Array.finRange n).size = n := by
@[simp] theorem size_finRange {n} : (Array.finRange n).size = n := by
simp [Array.finRange]
@[simp, grind =] theorem getElem_finRange {i : Nat} (h : i < (Array.finRange n).size) :
@[simp] theorem getElem_finRange {i : Nat} (h : i < (Array.finRange n).size) :
(Array.finRange n)[i] = Fin.cast size_finRange i, h := by
simp [Array.finRange]
@@ -51,7 +49,6 @@ theorem finRange_succ_last {n} :
· simp_all
omega
@[grind _=_]
theorem finRange_reverse {n} : (Array.finRange n).reverse = (Array.finRange n).map Fin.rev := by
ext i h
· simp

View File

@@ -6,13 +6,11 @@ Authors: Kim Morrison
module
prelude
public import Init.Data.List.Nat.Find
public import all Init.Data.Array.Basic
public import Init.Data.Array.Lemmas
public import Init.Data.Array.Attach
public import Init.Data.Array.Range
public section
import Init.Data.List.Nat.Find
import all Init.Data.Array.Basic
import Init.Data.Array.Lemmas
import Init.Data.Array.Attach
import Init.Data.Array.Range
/-!
# Lemmas about `Array.findSome?`, `Array.find?, `Array.findIdx`, `Array.findIdx?`, `Array.idxOf`.
@@ -40,22 +38,11 @@ theorem findSome?_singleton {a : α} {f : α → Option β} : #[a].findSome? f =
@[simp] theorem findSomeRev?_push_of_isNone {xs : Array α} (h : (f a).isNone) : (xs.push a).findSomeRev? f = xs.findSomeRev? f := by
cases xs; simp_all
@[grind =]
theorem findSomeRev?_push {xs : Array α} {a : α} {f : α Option β} :
(xs.push a).findSomeRev? f = (f a).or (xs.findSomeRev? f) := by
match h : f a with
| some b =>
rw [findSomeRev?_push_of_isSome]
all_goals simp_all
| none =>
rw [findSomeRev?_push_of_isNone]
all_goals simp_all
theorem exists_of_findSome?_eq_some {f : α Option β} {xs : Array α} (w : xs.findSome? f = some b) :
a, a xs f a = some b := by
cases xs; simp_all [List.exists_of_findSome?_eq_some]
@[simp, grind =] theorem findSome?_eq_none_iff : findSome? p xs = none x xs, p x = none := by
@[simp] theorem findSome?_eq_none_iff : findSome? p xs = none x xs, p x = none := by
cases xs; simp
@[simp] theorem findSome?_isSome_iff {f : α Option β} {xs : Array α} :
@@ -72,39 +59,36 @@ theorem findSome?_eq_some_iff {f : α → Option β} {xs : Array α} {b : β} :
· rintro xs, a, ys, h₀, h₁, h₂
exact xs.toList, a, ys.toList, by simpa using congrArg toList h₀, h₁, by simpa
@[simp, grind =] theorem findSome?_guard {xs : Array α} : findSome? (Option.guard p) xs = find? p xs := by
@[simp] theorem findSome?_guard {xs : Array α} : findSome? (Option.guard fun x => p x) xs = find? p xs := by
cases xs; simp
theorem find?_eq_findSome?_guard {xs : Array α} : find? p xs = findSome? (Option.guard p) xs :=
theorem find?_eq_findSome?_guard {xs : Array α} : find? p xs = findSome? (Option.guard fun x => p x) xs :=
findSome?_guard.symm
@[simp, grind =] theorem getElem?_zero_filterMap {f : α Option β} {xs : Array α} : (xs.filterMap f)[0]? = xs.findSome? f := by
@[simp] theorem getElem?_zero_filterMap {f : α Option β} {xs : Array α} : (xs.filterMap f)[0]? = xs.findSome? f := by
cases xs; simp [ List.head?_eq_getElem?]
@[simp, grind =] theorem getElem_zero_filterMap {f : α Option β} {xs : Array α} (h) :
@[simp] theorem getElem_zero_filterMap {f : α Option β} {xs : Array α} (h) :
(xs.filterMap f)[0] = (xs.findSome? f).get (by cases xs; simpa [List.length_filterMap_eq_countP] using h) := by
cases xs; simp [ getElem?_zero_filterMap]
cases xs; simp [ List.head_eq_getElem, getElem?_zero_filterMap]
@[simp, grind =] theorem back?_filterMap {f : α Option β} {xs : Array α} : (xs.filterMap f).back? = xs.findSomeRev? f := by
@[simp] theorem back?_filterMap {f : α Option β} {xs : Array α} : (xs.filterMap f).back? = xs.findSomeRev? f := by
cases xs; simp
@[simp, grind =] theorem back!_filterMap [Inhabited β] {f : α Option β} {xs : Array α} :
@[simp] theorem back!_filterMap [Inhabited β] {f : α Option β} {xs : Array α} :
(xs.filterMap f).back! = (xs.findSomeRev? f).getD default := by
cases xs; simp
@[simp, grind _=_] theorem map_findSome? {f : α Option β} {g : β γ} {xs : Array α} :
@[simp] theorem map_findSome? {f : α Option β} {g : β γ} {xs : Array α} :
(xs.findSome? f).map g = xs.findSome? (Option.map g f) := by
cases xs; simp
@[grind _=_]
theorem findSome?_map {f : β γ} {xs : Array β} : findSome? p (xs.map f) = xs.findSome? (p f) := by
cases xs; simp [List.findSome?_map]
@[grind =]
theorem findSome?_append {xs ys : Array α} : (xs ++ ys).findSome? f = (xs.findSome? f).or (ys.findSome? f) := by
cases xs; cases ys; simp [List.findSome?_append]
@[grind =]
theorem getElem?_zero_flatten (xss : Array (Array α)) :
(flatten xss)[0]? = xss.findSome? fun xs => xs[0]? := by
cases xss using array₂_induction
@@ -120,14 +104,12 @@ theorem getElem_zero_flatten.proof {xss : Array (Array α)} (h : 0 < xss.flatten
obtain _, xs, m, rfl, h := h
exact xs, m, by simpa using h
@[grind =]
theorem getElem_zero_flatten {xss : Array (Array α)} (h) :
(flatten xss)[0] = (xss.findSome? fun xs => xs[0]?).get (getElem_zero_flatten.proof h) := by
have t := getElem?_zero_flatten xss
simp at t
simp [getElem?_eq_getElem, h] at t
simp [ t]
@[grind =]
theorem findSome?_replicate : findSome? f (replicate n a) = if n = 0 then none else f a := by
simp [ List.toArray_replicate, List.findSome?_replicate]
@@ -158,9 +140,8 @@ abbrev findSome?_mkArray_of_isNone := @findSome?_replicate_of_isNone
/-! ### find? -/
@[simp, grind =] theorem find?_empty : find? p #[] = none := rfl
@[simp] theorem find?_empty : find? p #[] = none := rfl
@[grind =]
theorem find?_singleton {a : α} {p : α Bool} :
#[a].find? p = if p a then some a else none := by
simp
@@ -169,26 +150,11 @@ theorem find?_singleton {a : α} {p : α → Bool} :
findRev? p (xs.push a) = some a := by
cases xs; simp [h]
@[simp] theorem findRev?_push_of_neg {xs : Array α} (h : ¬p a) :
@[simp] theorem findRev?_cons_of_neg {xs : Array α} (h : ¬p a) :
findRev? p (xs.push a) = findRev? p xs := by
cases xs; simp [h]
@[deprecated findRev?_push_of_neg (since := "2025-06-12")]
abbrev findRev?_cons_of_neg := @findRev?_push_of_neg
@[grind =]
theorem finRev?_push {xs : Array α} :
findRev? p (xs.push a) = (Option.guard p a).or (xs.findRev? p) := by
cases h : p a
· rw [findRev?_push_of_neg, Option.guard_eq_none_iff.mpr h]
all_goals simp [h]
· rw [findRev?_push_of_pos, Option.guard_eq_some_iff.mpr rfl, h]
all_goals simp [h]
@[deprecated finRev?_push (since := "2025-06-12")]
abbrev findRev?_cons := @finRev?_push
@[simp, grind =] theorem find?_eq_none : find? p xs = none x xs, ¬ p x := by
@[simp] theorem find?_eq_none : find? p xs = none x xs, ¬ p x := by
cases xs; simp
theorem find?_eq_some_iff_append {xs : Array α} :
@@ -212,63 +178,60 @@ theorem find?_push_eq_some {xs : Array α} :
(xs.push a).find? p = some b xs.find? p = some b (xs.find? p = none (p a a = b)) := by
cases xs; simp
@[simp, grind =] theorem find?_isSome {xs : Array α} {p : α Bool} : (xs.find? p).isSome x, x xs p x := by
@[simp] theorem find?_isSome {xs : Array α} {p : α Bool} : (xs.find? p).isSome x, x xs p x := by
cases xs; simp
@[grind ]
theorem find?_some {xs : Array α} (h : find? p xs = some a) : p a := by
cases xs
simp at h
exact List.find?_some h
@[grind ]
theorem mem_of_find?_eq_some {xs : Array α} (h : find? p xs = some a) : a xs := by
cases xs
simp at h
simpa using List.mem_of_find?_eq_some h
@[grind]
theorem get_find?_mem {xs : Array α} (h) : (xs.find? p).get h xs := by
cases xs
simp [List.get_find?_mem]
@[simp, grind =] theorem find?_filter {xs : Array α} (p q : α Bool) :
@[simp] theorem find?_filter {xs : Array α} (p q : α Bool) :
(xs.filter p).find? q = xs.find? (fun a => p a q a) := by
cases xs; simp
@[simp, grind =] theorem getElem?_zero_filter {p : α Bool} {xs : Array α} :
@[simp] theorem getElem?_zero_filter {p : α Bool} {xs : Array α} :
(xs.filter p)[0]? = xs.find? p := by
cases xs; simp [ List.head?_eq_getElem?]
@[simp, grind =] theorem getElem_zero_filter {p : α Bool} {xs : Array α} (h) :
@[simp] theorem getElem_zero_filter {p : α Bool} {xs : Array α} (h) :
(xs.filter p)[0] =
(xs.find? p).get (by cases xs; simpa [ List.countP_eq_length_filter] using h) := by
cases xs
simp [List.getElem_zero_eq_head]
@[simp, grind =] theorem back?_filter {p : α Bool} {xs : Array α} : (xs.filter p).back? = xs.findRev? p := by
@[simp] theorem back?_filter {p : α Bool} {xs : Array α} : (xs.filter p).back? = xs.findRev? p := by
cases xs; simp
@[simp, grind =] theorem back!_filter [Inhabited α] {p : α Bool} {xs : Array α} :
@[simp] theorem back!_filter [Inhabited α] {p : α Bool} {xs : Array α} :
(xs.filter p).back! = (xs.findRev? p).get! := by
cases xs; simp [Option.get!_eq_getD]
@[simp, grind =] theorem find?_filterMap {xs : Array α} {f : α Option β} {p : β Bool} :
@[simp] theorem find?_filterMap {xs : Array α} {f : α Option β} {p : β Bool} :
(xs.filterMap f).find? p = (xs.find? (fun a => (f a).any p)).bind f := by
cases xs; simp
@[simp, grind =] theorem find?_map {f : β α} {xs : Array β} :
@[simp] theorem find?_map {f : β α} {xs : Array β} :
find? p (xs.map f) = (xs.find? (p f)).map f := by
cases xs; simp
@[simp, grind =] theorem find?_append {xs ys : Array α} :
@[simp] theorem find?_append {xs ys : Array α} :
(xs ++ ys).find? p = (xs.find? p).or (ys.find? p) := by
cases xs
cases ys
simp
@[simp, grind _=_] theorem find?_flatten {xss : Array (Array α)} {p : α Bool} :
xss.flatten.find? p = xss.findSome? (find? p) := by
@[simp] theorem find?_flatten {xss : Array (Array α)} {p : α Bool} :
xss.flatten.find? p = xss.findSome? (·.find? p) := by
cases xss using array₂_induction
simp [List.findSome?_map, Function.comp_def]
@@ -307,10 +270,10 @@ theorem find?_flatten_eq_some_iff {xss : Array (Array α)} {p : α → Bool} {a
@[deprecated find?_flatten_eq_some_iff (since := "2025-02-03")]
abbrev find?_flatten_eq_some := @find?_flatten_eq_some_iff
@[simp, grind =] theorem find?_flatMap {xs : Array α} {f : α Array β} {p : β Bool} :
@[simp] theorem find?_flatMap {xs : Array α} {f : α Array β} {p : β Bool} :
(xs.flatMap f).find? p = xs.findSome? (fun x => (f x).find? p) := by
cases xs
simp [List.find?_flatMap]
simp [List.find?_flatMap, Array.flatMap_toArray]
theorem find?_flatMap_eq_none_iff {xs : Array α} {f : α Array β} {p : β Bool} :
(xs.flatMap f).find? p = none x xs, y f x, !p y := by
@@ -319,7 +282,6 @@ theorem find?_flatMap_eq_none_iff {xs : Array α} {f : α → Array β} {p : β
@[deprecated find?_flatMap_eq_none_iff (since := "2025-02-03")]
abbrev find?_flatMap_eq_none := @find?_flatMap_eq_none_iff
@[grind =]
theorem find?_replicate :
find? p (replicate n a) = if n = 0 then none else if p a then some a else none := by
simp [ List.toArray_replicate, List.find?_replicate]
@@ -350,7 +312,7 @@ abbrev find?_mkArray_of_neg := @find?_replicate_of_neg
-- This isn't a `@[simp]` lemma since there is already a lemma for `l.find? p = none` for any `l`.
theorem find?_replicate_eq_none_iff {n : Nat} {a : α} {p : α Bool} :
(replicate n a).find? p = none n = 0 !p a := by
simp [ List.toArray_replicate, Classical.or_iff_not_imp_left]
simp [ List.toArray_replicate, List.find?_replicate_eq_none_iff, Classical.or_iff_not_imp_left]
@[deprecated find?_replicate_eq_none_iff (since := "2025-03-18")]
abbrev find?_mkArray_eq_none_iff := @find?_replicate_eq_none_iff
@@ -372,7 +334,6 @@ abbrev find?_mkArray_eq_some := @find?_replicate_eq_some_iff
@[deprecated get_find?_replicate (since := "2025-03-18")]
abbrev get_find?_mkArray := @get_find?_replicate
@[grind =]
theorem find?_pmap {P : α Prop} {f : (a : α) P a β} {xs : Array α}
(H : (a : α), a xs P a) {p : β Bool} :
(xs.pmap f H).find? p = (xs.attach.find? (fun a, m => p (f a (H a m)))).map fun a, m => f a (H a m) := by
@@ -386,15 +347,12 @@ theorem find?_eq_some_iff_getElem {xs : Array α} {p : α → Bool} {b : α} :
/-! ### findIdx -/
@[grind =]
theorem findIdx_empty : findIdx p #[] = 0 := rfl
@[grind =]
theorem findIdx_singleton {a : α} {p : α Bool} :
#[a].findIdx p = if p a then 0 else 1 := by
simp
@[grind ]
theorem findIdx_of_getElem?_eq_some {xs : Array α} (w : xs[xs.findIdx p]? = some y) : p y := by
rcases xs with xs
exact List.findIdx_of_getElem?_eq_some (by simpa using w)
@@ -403,8 +361,6 @@ theorem findIdx_getElem {xs : Array α} {w : xs.findIdx p < xs.size} :
p xs[xs.findIdx p] :=
xs.findIdx_of_getElem?_eq_some (getElem?_eq_getElem w)
grind_pattern findIdx_getElem => xs[xs.findIdx p]
theorem findIdx_lt_size_of_exists {xs : Array α} (h : x xs, p x) :
xs.findIdx p < xs.size := by
rcases xs with xs
@@ -431,24 +387,18 @@ theorem findIdx_le_size {p : α → Bool} {xs : Array α} : xs.findIdx p ≤ xs.
· simp at e
exact Nat.le_of_eq (findIdx_eq_size.mpr e)
grind_pattern findIdx_le_size => xs.findIdx p, xs.size
@[simp]
theorem findIdx_lt_size {p : α Bool} {xs : Array α} :
xs.findIdx p < xs.size x xs, p x := by
rcases xs with xs
simp
grind_pattern findIdx_lt_size => xs.findIdx p, xs.size
/-- `p` does not hold for elements with indices less than `xs.findIdx p`. -/
theorem not_of_lt_findIdx {p : α Bool} {xs : Array α} {i : Nat} (h : i < xs.findIdx p) :
p (xs[i]'(Nat.le_trans h findIdx_le_size)) = false := by
rcases xs with xs
simpa using List.not_of_lt_findIdx (by simpa using h)
grind_pattern not_of_lt_findIdx => xs.findIdx p, xs[i]
/-- If `¬ p xs[j]` for all `j < i`, then `i ≤ xs.findIdx p`. -/
theorem le_findIdx_of_not {p : α Bool} {xs : Array α} {i : Nat} (h : i < xs.size)
(h2 : j (hji : j < i), p (xs[j]'(Nat.lt_trans hji h)) = false) : i xs.findIdx p := by
@@ -476,7 +426,6 @@ theorem findIdx_eq {p : α → Bool} {xs : Array α} {i : Nat} (h : i < xs.size)
simp at h3
simp_all [not_of_lt_findIdx h3]
@[grind =]
theorem findIdx_append {p : α Bool} {xs ys : Array α} :
(xs ++ ys).findIdx p =
if xs.findIdx p < xs.size then xs.findIdx p else ys.findIdx p + xs.size := by
@@ -484,13 +433,12 @@ theorem findIdx_append {p : α → Bool} {xs ys : Array α} :
rcases ys with ys
simp [List.findIdx_append]
@[grind =]
theorem findIdx_push {xs : Array α} {a : α} {p : α Bool} :
(xs.push a).findIdx p = if xs.findIdx p < xs.size then xs.findIdx p else xs.size + if p a then 0 else 1 := by
simp only [push_eq_append, findIdx_append]
split <;> rename_i h
· rfl
· simp [Nat.add_comm]
· simp [findIdx_singleton, Nat.add_comm]
theorem findIdx_le_findIdx {xs : Array α} {p q : α Bool} (h : x xs, p x q x) : xs.findIdx q xs.findIdx p := by
rcases xs with xs
@@ -507,7 +455,7 @@ theorem false_of_mem_extract_findIdx {xs : Array α} {p : α → Bool} (h : x
rcases xs with xs
exact List.false_of_mem_take_findIdx (by simpa using h)
@[simp, grind =] theorem findIdx_extract {xs : Array α} {i : Nat} {p : α Bool} :
@[simp] theorem findIdx_extract {xs : Array α} {i : Nat} {p : α Bool} :
(xs.extract 0 i).findIdx p = min i (xs.findIdx p) := by
cases xs
simp
@@ -519,24 +467,24 @@ theorem false_of_mem_extract_findIdx {xs : Array α} {p : α → Bool} (h : x
/-! ### findIdx? -/
@[simp, grind =] theorem findIdx?_empty : (#[] : Array α).findIdx? p = none := by simp
@[grind =] theorem findIdx?_singleton {a : α} {p : α Bool} :
@[simp] theorem findIdx?_empty : (#[] : Array α).findIdx? p = none := by simp
theorem findIdx?_singleton {a : α} {p : α Bool} :
#[a].findIdx? p = if p a then some 0 else none := by
simp
@[simp, grind =]
@[simp]
theorem findIdx?_eq_none_iff {xs : Array α} {p : α Bool} :
xs.findIdx? p = none x, x xs p x = false := by
rcases xs with xs
simp
@[simp, grind =]
@[simp]
theorem findIdx?_isSome {xs : Array α} {p : α Bool} :
(xs.findIdx? p).isSome = xs.any p := by
rcases xs with xs
simp [List.findIdx?_isSome]
@[simp, grind =]
@[simp]
theorem findIdx?_isNone {xs : Array α} {p : α Bool} :
(xs.findIdx? p).isNone = xs.all (¬p ·) := by
rcases xs with xs
@@ -555,7 +503,7 @@ theorem findIdx?_eq_some_of_exists {xs : Array α} {p : α → Bool} (h : ∃ x,
theorem findIdx?_eq_none_iff_findIdx_eq {xs : Array α} {p : α Bool} :
xs.findIdx? p = none xs.findIdx p = xs.size := by
rcases xs with xs
simp
simp [List.findIdx?_eq_none_iff_findIdx_eq]
theorem findIdx?_eq_guard_findIdx_lt {xs : Array α} {p : α Bool} :
xs.findIdx? p = Option.guard (fun i => i < xs.size) (xs.findIdx p) := by
@@ -578,19 +526,18 @@ theorem of_findIdx?_eq_none {xs : Array α} {p : α → Bool} (w : xs.findIdx? p
rcases xs with xs
simpa using List.of_findIdx?_eq_none (by simpa using w)
@[simp, grind =] theorem findIdx?_map {f : β α} {xs : Array β} {p : α Bool} :
@[simp] theorem findIdx?_map {f : β α} {xs : Array β} {p : α Bool} :
findIdx? p (xs.map f) = xs.findIdx? (p f) := by
rcases xs with xs
simp [List.findIdx?_map]
@[simp, grind =] theorem findIdx?_append :
@[simp] theorem findIdx?_append :
(xs ++ ys : Array α).findIdx? p =
(xs.findIdx? p).or ((ys.findIdx? p).map fun i => i + xs.size) := by
rcases xs with xs
rcases ys with ys
simp [List.findIdx?_append]
@[grind =]
theorem findIdx?_push {xs : Array α} {a : α} {p : α Bool} :
(xs.push a).findIdx? p = (xs.findIdx? p).or (if p a then some xs.size else none) := by
simp only [push_eq_append, findIdx?_append]
@@ -606,7 +553,7 @@ theorem findIdx?_flatten {xss : Array (Array α)} {p : α → Bool} :
cases xss using array₂_induction
simp [List.findIdx?_flatten, Function.comp_def]
@[simp, grind =] theorem findIdx?_replicate :
@[simp] theorem findIdx?_replicate :
(replicate n a).findIdx? p = if 0 < n p a then some 0 else none := by
rw [ List.toArray_replicate]
simp only [List.findIdx?_toArray]
@@ -631,7 +578,6 @@ theorem findIdx?_eq_none_of_findIdx?_eq_none {xs : Array α} {p q : α → Bool}
rcases xs with xs
simpa using List.findIdx?_eq_none_of_findIdx?_eq_none (by simpa using w)
@[grind =]
theorem findIdx_eq_getD_findIdx? {xs : Array α} {p : α Bool} :
xs.findIdx p = (xs.findIdx? p).getD xs.size := by
rcases xs with xs
@@ -648,17 +594,15 @@ theorem findIdx?_eq_some_le_of_findIdx?_eq_some {xs : Array α} {p q : α → Bo
cases xs
simp [hf]
@[simp, grind =] theorem findIdx?_take {xs : Array α} {i : Nat} {p : α Bool} :
@[simp] theorem findIdx?_take {xs : Array α} {i : Nat} {p : α Bool} :
(xs.take i).findIdx? p = (xs.findIdx? p).bind (Option.guard (fun j => j < i)) := by
cases xs
simp
/-! ### findFinIdx? -/
@[grind =]
theorem findFinIdx?_empty {p : α Bool} : findFinIdx? p #[] = none := by simp
@[grind =]
theorem findFinIdx?_singleton {a : α} {p : α Bool} :
#[a].findFinIdx? p = if p a then some 0, by simp else none := by
simp
@@ -676,7 +620,7 @@ theorem findFinIdx?_eq_pmap_findIdx? {xs : Array α} {p : α → Bool} :
(fun i h => h) := by
simp [findIdx?_eq_map_findFinIdx?_val, Option.pmap_map]
@[simp, grind =] theorem findFinIdx?_eq_none_iff {xs : Array α} {p : α Bool} :
@[simp] theorem findFinIdx?_eq_none_iff {xs : Array α} {p : α Bool} :
xs.findFinIdx? p = none x, x xs ¬ p x := by
simp [findFinIdx?_eq_pmap_findIdx?]
@@ -692,14 +636,12 @@ theorem findFinIdx?_eq_some_iff {xs : Array α} {p : α → Bool} {i : Fin xs.si
· rintro h, w
exact i, i.2, h, fun j hji => w j, by omega hji, rfl
@[grind =]
theorem findFinIdx?_push {xs : Array α} {a : α} {p : α Bool} :
(xs.push a).findFinIdx? p =
((xs.findFinIdx? p).map (Fin.castLE (by simp))).or (if p a then some xs.size, by simp else none) := by
simp only [findFinIdx?_eq_pmap_findIdx?, findIdx?_push, Option.pmap_or]
split <;> rename_i h _ <;> split <;> simp [h]
@[grind =]
theorem findFinIdx?_append {xs ys : Array α} {p : α Bool} :
(xs ++ ys).findFinIdx? p =
((xs.findFinIdx? p).map (Fin.castLE (by simp))).or
@@ -709,17 +651,17 @@ theorem findFinIdx?_append {xs ys : Array α} {p : α → Bool} :
· simp [h, Option.pmap_map, Option.map_pmap, Nat.add_comm]
· simp [h]
@[simp, grind =]
@[simp]
theorem isSome_findFinIdx? {xs : Array α} {p : α Bool} :
(xs.findFinIdx? p).isSome = xs.any p := by
rcases xs with xs
simp [Array.size]
simp
@[simp, grind =]
@[simp]
theorem isNone_findFinIdx? {xs : Array α} {p : α Bool} :
(xs.findFinIdx? p).isNone = xs.all (fun x => ¬ p x) := by
rcases xs with xs
simp [Array.size]
simp
@[simp] theorem findFinIdx?_subtype {p : α Prop} {xs : Array { x // p x }}
{f : { x // p x } Bool} {g : α Bool} (hf : x h, f x, h = g x) :
@@ -727,8 +669,7 @@ theorem isNone_findFinIdx? {xs : Array α} {p : α → Bool} :
cases xs
simp only [List.findFinIdx?_toArray, hf, List.findFinIdx?_subtype]
rw [findFinIdx?_congr List.unattach_toArray]
simp only [Option.map_map, Function.comp_def, Fin.cast_trans]
simp [Array.size]
simp [Function.comp_def]
/-! ### idxOf
@@ -736,7 +677,6 @@ The verification API for `idxOf` is still incomplete.
The lemmas below should be made consistent with those for `findIdx` (and proved using them).
-/
@[grind =]
theorem idxOf_append [BEq α] [LawfulBEq α] {xs ys : Array α} {a : α} :
(xs ++ ys).idxOf a = if a xs then xs.idxOf a else ys.idxOf a + xs.size := by
rw [idxOf, findIdx_append]
@@ -750,23 +690,10 @@ theorem idxOf_eq_size [BEq α] [LawfulBEq α] {xs : Array α} (h : a ∉ xs) : x
rcases xs with xs
simp [List.idxOf_eq_length (by simpa using h)]
theorem idxOf_lt_length_of_mem [BEq α] [LawfulBEq α] {xs : Array α} (h : a xs) : xs.idxOf a < xs.size := by
theorem idxOf_lt_length [BEq α] [LawfulBEq α] {xs : Array α} (h : a xs) : xs.idxOf a < xs.size := by
rcases xs with xs
simp [List.idxOf_lt_length_of_mem (by simpa using h)]
simp [List.idxOf_lt_length (by simpa using h)]
theorem idxOf_le_size [BEq α] [LawfulBEq α] {xs : Array α} {a : α} :
xs.idxOf a xs.size := by
rcases xs with xs
simp [List.idxOf_le_length]
grind_pattern idxOf_le_size => xs.idxOf a, xs.size
theorem idxOf_lt_size_iff [BEq α] [LawfulBEq α] {xs : Array α} {a : α} :
xs.idxOf a < xs.size a xs := by
rcases xs with xs
simp [List.idxOf_lt_length_iff]
grind_pattern idxOf_lt_size_iff => xs.idxOf a, xs.size
/-! ### idxOf?
@@ -774,20 +701,19 @@ The verification API for `idxOf?` is still incomplete.
The lemmas below should be made consistent with those for `findIdx?` (and proved using them).
-/
@[grind =] theorem idxOf?_empty [BEq α] : (#[] : Array α).idxOf? a = none := by simp
theorem idxOf?_empty [BEq α] : (#[] : Array α).idxOf? a = none := by simp
@[simp, grind =] theorem idxOf?_eq_none_iff [BEq α] [LawfulBEq α] {xs : Array α} {a : α} :
@[simp] theorem idxOf?_eq_none_iff [BEq α] [LawfulBEq α] {xs : Array α} {a : α} :
xs.idxOf? a = none a xs := by
rcases xs with xs
simp [List.idxOf?_eq_none_iff]
@[simp, grind =]
@[simp]
theorem isSome_idxOf? [BEq α] [LawfulBEq α] {xs : Array α} {a : α} :
(xs.idxOf? a).isSome a xs := by
rcases xs with xs
simp
@[grind =]
theorem isNone_idxOf? [BEq α] [LawfulBEq α] {xs : Array α} {a : α} :
(xs.idxOf? a).isNone = ¬ a xs := by
simp
@@ -800,31 +726,28 @@ The lemmas below should be made consistent with those for `findFinIdx?` (and pro
theorem idxOf?_eq_map_finIdxOf?_val [BEq α] {xs : Array α} {a : α} :
xs.idxOf? a = (xs.finIdxOf? a).map (·.val) := by
simp [idxOf?, finIdxOf?]
simp [idxOf?, finIdxOf?, findIdx?_eq_map_findFinIdx?_val]
@[grind =] theorem finIdxOf?_empty [BEq α] : (#[] : Array α).finIdxOf? a = none := by simp
theorem finIdxOf?_empty [BEq α] : (#[] : Array α).finIdxOf? a = none := by simp
@[simp, grind =] theorem finIdxOf?_eq_none_iff [BEq α] [LawfulBEq α] {xs : Array α} {a : α} :
@[simp] theorem finIdxOf?_eq_none_iff [BEq α] [LawfulBEq α] {xs : Array α} {a : α} :
xs.finIdxOf? a = none a xs := by
rcases xs with xs
simp [List.finIdxOf?_eq_none_iff, Array.size]
simp [List.finIdxOf?_eq_none_iff]
@[simp] theorem finIdxOf?_eq_some_iff [BEq α] [LawfulBEq α] {xs : Array α} {a : α} {i : Fin xs.size} :
xs.finIdxOf? a = some i xs[i] = a j (_ : j < i), ¬xs[j] = a := by
rcases xs with xs
unfold Array.size at i
simp [List.finIdxOf?_eq_some_iff]
@[simp, grind =]
theorem isSome_finIdxOf? [BEq α] [PartialEquivBEq α] {xs : Array α} {a : α} :
(xs.finIdxOf? a).isSome = xs.contains a := by
@[simp]
theorem isSome_finIdxOf? [BEq α] [LawfulBEq α] {xs : Array α} {a : α} :
(xs.finIdxOf? a).isSome a xs := by
rcases xs with xs
simp [Array.size]
simp
@[simp, grind =]
theorem isNone_finIdxOf? [BEq α] [PartialEquivBEq α] {xs : Array α} {a : α} :
(xs.finIdxOf? a).isNone = !xs.contains a := by
rcases xs with xs
simp [Array.size]
theorem isNone_finIdxOf? [BEq α] [LawfulBEq α] {xs : Array α} {a : α} :
(xs.finIdxOf? a).isNone = ¬ a xs := by
simp
end Array

View File

@@ -7,9 +7,7 @@ Authors: Leonardo de Moura
module
prelude
public import Init.Data.Array.Basic
public section
import Init.Data.Array.Basic
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
set_option linter.indexVariables true -- Enforce naming conventions for index variables.

View File

@@ -6,10 +6,8 @@ Authors: Kim Morrison
module
prelude
public import Init.Data.Array.Lemmas
public import Init.Data.List.Nat.InsertIdx
public section
import Init.Data.Array.Lemmas
import Init.Data.List.Nat.InsertIdx
/-!
# insertIdx
@@ -46,19 +44,13 @@ theorem insertIdx_zero {xs : Array α} {x : α} : xs.insertIdx 0 x = #[x] ++ xs
@[simp] theorem size_insertIdx {xs : Array α} (h : i xs.size) : (xs.insertIdx i a).size = xs.size + 1 := by
rcases xs with xs
simp at h
simp [List.length_insertIdx, h]
theorem eraseIdx_insertIdx_self {i : Nat} {xs : Array α} (h : i xs.size) :
theorem eraseIdx_insertIdx {i : Nat} {xs : Array α} (h : i xs.size) :
(xs.insertIdx i a).eraseIdx i (by simp; omega) = xs := by
rcases xs with xs
simp_all
@[deprecated eraseIdx_insertIdx_self (since := "2025-06-15")]
theorem eraseIdx_insertIdx {i : Nat} {xs : Array α} (h : i xs.size) :
(xs.insertIdx i a).eraseIdx i (by simp; omega) = xs := by
simp [eraseIdx_insertIdx_self]
theorem insertIdx_eraseIdx_of_ge {as : Array α}
(w₁ : i < as.size) (w₂ : j (as.eraseIdx i).size) (h : i j) :
(as.eraseIdx i).insertIdx j a =
@@ -73,18 +65,6 @@ theorem insertIdx_eraseIdx_of_le {as : Array α}
cases as
simpa using List.insertIdx_eraseIdx_of_le (by simpa) (by simpa)
@[grind =]
theorem insertIdx_eraseIdx {as : Array α} (h₁ : i < as.size) (h₂ : j (as.eraseIdx i).size) :
(as.eraseIdx i).insertIdx j a =
if h : i j then
(as.insertIdx (j + 1) a (by simp_all; omega)).eraseIdx i (by simp_all; omega)
else
(as.insertIdx j a).eraseIdx (i + 1) (by simp_all) := by
split <;> rename_i h'
· rw [insertIdx_eraseIdx_of_ge] <;> omega
· rw [insertIdx_eraseIdx_of_le] <;> omega
@[grind =]
theorem insertIdx_comm (a b : α) {i j : Nat} {xs : Array α} (_ : i j) (_ : j xs.size) :
(xs.insertIdx i a).insertIdx (j + 1) b (by simpa) =
(xs.insertIdx j b).insertIdx i a (by simp; omega) := by
@@ -100,7 +80,6 @@ theorem insertIdx_size_self {xs : Array α} {x : α} : xs.insertIdx xs.size x =
rcases xs with xs
simp
@[grind =]
theorem getElem_insertIdx {xs : Array α} {x : α} {i k : Nat} (w : i xs.size) (h : k < (xs.insertIdx i x).size) :
(xs.insertIdx i x)[k] =
if h₁ : k < i then
@@ -111,22 +90,21 @@ theorem getElem_insertIdx {xs : Array α} {x : α} {i k : Nat} (w : i ≤ xs.siz
else
xs[k-1]'(by simp [size_insertIdx] at h; omega) := by
cases xs
simp [List.getElem_insertIdx]
simp [List.getElem_insertIdx, w]
theorem getElem_insertIdx_of_lt {xs : Array α} {x : α} {i k : Nat} (w : i xs.size) (h : k < i) :
(xs.insertIdx i x)[k]'(by simp; omega) = xs[k] := by
simp [getElem_insertIdx, h]
simp [getElem_insertIdx, w, h]
theorem getElem_insertIdx_self {xs : Array α} {x : α} {i : Nat} (w : i xs.size) :
(xs.insertIdx i x)[i]'(by simp; omega) = x := by
simp [getElem_insertIdx]
simp [getElem_insertIdx, w]
theorem getElem_insertIdx_of_gt {xs : Array α} {x : α} {i k : Nat} (w : k xs.size) (h : k > i) :
(xs.insertIdx i x)[k]'(by simp; omega) = xs[k - 1]'(by omega) := by
simp [getElem_insertIdx]
simp [getElem_insertIdx, w, h]
rw [dif_neg (by omega), dif_neg (by omega)]
@[grind =]
theorem getElem?_insertIdx {xs : Array α} {x : α} {i k : Nat} (h : i xs.size) :
(xs.insertIdx i x)[k]? =
if k < i then
@@ -137,7 +115,7 @@ theorem getElem?_insertIdx {xs : Array α} {x : α} {i k : Nat} (h : i ≤ xs.si
else
xs[k-1]? := by
cases xs
simp [List.getElem?_insertIdx]
simp [List.getElem?_insertIdx, h]
theorem getElem?_insertIdx_of_lt {xs : Array α} {x : α} {i k : Nat} (w : i xs.size) (h : k < i) :
(xs.insertIdx i x)[k]? = xs[k]? := by

View File

@@ -6,9 +6,7 @@ Authors: Leonardo de Moura
module
prelude
public import Init.Data.Array.Basic
public section
import Init.Data.Array.Basic
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
set_option linter.indexVariables true -- Enforce naming conventions for index variables.

View File

@@ -6,23 +6,21 @@ Authors: Mario Carneiro, Kim Morrison
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
public section
import Init.Data.Nat.Lemmas
import Init.Data.List.Range
import all Init.Data.List.Control
import Init.Data.List.Nat.TakeDrop
import Init.Data.List.Nat.Modify
import Init.Data.List.Nat.Basic
import Init.Data.List.Monadic
import Init.Data.List.OfFn
import all Init.Data.Array.Bootstrap
import Init.Data.Array.Mem
import Init.Data.Array.DecidableEq
import Init.Data.Array.Lex.Basic
import Init.Data.Range.Lemmas
import Init.TacticsExtra
import Init.Data.List.ToArray
/-!
## Theorems about `Array`.
@@ -77,7 +75,7 @@ theorem ne_empty_of_size_pos (h : 0 < xs.size) : xs ≠ #[] := by
cases xs
simpa using List.ne_nil_of_length_pos h
@[simp] theorem size_eq_zero_iff : xs.size = 0 xs = #[] :=
theorem size_eq_zero_iff : xs.size = 0 xs = #[] :=
eq_empty_of_size_eq_zero, fun h => h rfl
@[deprecated size_eq_zero_iff (since := "2025-02-24")]
@@ -91,8 +89,6 @@ theorem size_pos_of_mem {a : α} {xs : Array α} (h : a ∈ xs) : 0 < xs.size :=
simp only [mem_toArray] at h
simpa using List.length_pos_of_mem h
grind_pattern size_pos_of_mem => a xs, xs.size
theorem exists_mem_of_size_pos {xs : Array α} (h : 0 < xs.size) : a, a xs := by
cases xs
simpa using List.exists_mem_of_length_pos h
@@ -127,7 +123,7 @@ theorem none_eq_getElem?_iff {xs : Array α} {i : Nat} : none = xs[i]? ↔ xs.si
simp
theorem getElem?_eq_none {xs : Array α} (h : xs.size i) : xs[i]? = none := by
simp [h]
simp [getElem?_eq_none_iff, h]
grind_pattern Array.getElem?_eq_none => xs.size i, xs[i]?
@@ -137,6 +133,7 @@ grind_pattern Array.getElem?_eq_none => xs.size ≤ i, xs[i]?
theorem getElem?_eq_some_iff {xs : Array α} : xs[i]? = some b h : i < xs.size, xs[i] = b :=
_root_.getElem?_eq_some_iff
@[grind ]
theorem getElem_of_getElem? {xs : Array α} : xs[i]? = some a h : i < xs.size, xs[i] = a :=
getElem?_eq_some_iff.mp
@@ -156,35 +153,34 @@ theorem getElem_eq_iff {xs : Array α} {i : Nat} {h : i < xs.size} : xs[i] = x
exact fun w => h, w, fun h => h.2
theorem getElem_eq_getElem?_get {xs : Array α} {i : Nat} (h : i < xs.size) :
xs[i] = xs[i]?.get (by simp [h]) := by
simp
xs[i] = xs[i]?.get (by simp [getElem?_eq_getElem, h]) := by
simp [getElem_eq_iff]
theorem getD_getElem? {xs : Array α} {i : Nat} {d : α} :
xs[i]?.getD d = if p : i < xs.size then xs[i]'p else d := by
if h : i < xs.size then
simp [h]
simp [h, getElem?_def]
else
have p : i xs.size := Nat.le_of_not_gt h
simp [h]
simp [getElem?_eq_none p, h]
@[simp] theorem getElem?_empty {i : Nat} : (#[] : Array α)[i]? = none := rfl
theorem getElem_push_lt {xs : Array α} {x : α} {i : Nat} (h : i < xs.size) :
have : i < (xs.push x).size := by simp [*, Nat.lt_succ_of_le, Nat.le_of_lt]
(xs.push x)[i] = xs[i] := by
rw [Array.size] at h
simp only [push, getElem_toList, List.concat_eq_append, List.getElem_append_left, h]
@[simp] theorem getElem_push_eq {xs : Array α} {x : α} : (xs.push x)[xs.size] = x := by
simp only [push, getElem_toList, List.concat_eq_append]
rw [List.getElem_append_right] <;> simp
rw [List.getElem_append_right] <;> simp [ getElem_toList, Nat.zero_lt_one]
@[grind =] theorem getElem_push {xs : Array α} {x : α} {i : Nat} (h : i < (xs.push x).size) :
theorem getElem_push {xs : Array α} {x : α} {i : Nat} (h : i < (xs.push x).size) :
(xs.push x)[i] = if h : i < xs.size then xs[i] else x := by
by_cases h' : i < xs.size
· simp [getElem_push_lt, h']
· simp at h
simp [Nat.le_antisymm (Nat.le_of_lt_succ h) (Nat.ge_of_not_lt h')]
simp [getElem_push_lt, Nat.le_antisymm (Nat.le_of_lt_succ h) (Nat.ge_of_not_lt h')]
@[grind =] theorem getElem?_push {xs : Array α} {x} : (xs.push x)[i]? = if i = xs.size then some x else xs[i]? := by
simp [getElem?_def, getElem_push]
@@ -766,7 +762,6 @@ theorem all_eq_false' {p : α → Bool} {as : Array α} :
rw [Bool.eq_false_iff, Ne, all_eq_true']
simp
@[grind =]
theorem any_eq {xs : Array α} {p : α Bool} : xs.any p = decide ( i : Nat, h, p (xs[i]'h)) := by
by_cases h : xs.any p
· simp_all [any_eq_true]
@@ -781,7 +776,6 @@ theorem any_eq' {xs : Array α} {p : α → Bool} : xs.any p = decide (∃ x, x
simp only [any_eq_false'] at h
simpa using h
@[grind =]
theorem all_eq {xs : Array α} {p : α Bool} : xs.all p = decide ( i, (_ : i < xs.size) p xs[i]) := by
by_cases h : xs.all p
· simp_all [all_eq_true]
@@ -908,7 +902,7 @@ theorem all_push [BEq α] {xs : Array α} {a : α} {p : α → Bool} :
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]
(xs.set i v)[i]? = some v := by simp [getElem?_eq_getElem, h]
@[deprecated getElem?_set_self (since := "2024-12-11")]
abbrev getElem?_set_eq := @getElem?_set_self
@@ -920,7 +914,7 @@ 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}
(ne : i j) : (xs.set i v)[j]? = xs[j]? := by
by_cases h : j < xs.size <;> simp [ne, h]
by_cases h : j < xs.size <;> simp [getElem?_eq_getElem, getElem?_eq_none, Nat.ge_of_not_lt, ne, h]
@[grind] theorem getElem_set {xs : Array α} {i : Nat} (h' : i < xs.size) {v : α} {j : Nat}
(h : j < (xs.set i v).size) :
@@ -957,13 +951,6 @@ theorem set_push {xs : Array α} {x y : α} {h} :
· simp at h
omega
@[grind _=_]
theorem set_pop {xs : Array α} {x : α} {i : Nat} (h : i < xs.pop.size) :
xs.pop.set i x h = (xs.set i x (by simp at h; omega)).pop := by
ext i h₁ h₂
· simp
· simp [getElem_set]
@[simp] theorem set_eq_empty_iff {xs : Array α} {i : Nat} {a : α} {h : i < xs.size} :
xs.set i a = #[] xs = #[] := by
cases xs <;> cases i <;> simp [set]
@@ -996,11 +983,7 @@ theorem mem_or_eq_of_mem_set
@[simp, grind] theorem setIfInBounds_empty {i : Nat} {a : α} :
#[].setIfInBounds i a = #[] := rfl
@[simp, grind =] theorem set!_eq_setIfInBounds : set! xs i v = setIfInBounds xs i v := rfl
@[grind]
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
@[simp] theorem set!_eq_setIfInBounds : @set! = @setIfInBounds := rfl
@[deprecated set!_eq_setIfInBounds (since := "2024-12-12")]
abbrev set!_is_setIfInBounds := @set!_eq_setIfInBounds
@@ -1046,7 +1029,7 @@ theorem getElem?_setIfInBounds_self {xs : Array α} {i : Nat} {a : α} :
@[simp]
theorem getElem?_setIfInBounds_self_of_lt {xs : Array α} {i : Nat} {a : α} (h : i < xs.size) :
(xs.setIfInBounds i a)[i]? = some a := by
simp [h]
simp [getElem?_setIfInBounds, h]
@[deprecated getElem?_setIfInBounds_self (since := "2024-12-11")]
abbrev getElem?_setIfInBounds_eq := @getElem?_setIfInBounds_self
@@ -1090,9 +1073,9 @@ theorem mem_or_eq_of_mem_setIfInBounds
@[simp] theorem getD_getElem?_setIfInBounds {xs : Array α} {i : Nat} {v d : α} :
(xs.setIfInBounds i v)[i]?.getD d = if i < xs.size then v else d := by
by_cases h : i < xs.size <;>
simp [setIfInBounds, h, ]
simp [setIfInBounds, Nat.not_lt_of_le, h, getD_getElem?]
@[simp, grind =] theorem toList_setIfInBounds {xs : Array α} {i : Nat} {x : α} :
@[simp] theorem toList_setIfInBounds {xs : Array α} {i : Nat} {x : α} :
(xs.setIfInBounds i x).toList = xs.toList.set i x := by
simp only [setIfInBounds]
split <;> rename_i h
@@ -1202,7 +1185,7 @@ where
mapM.map f xs i bs = (xs.toList.drop i).foldlM (fun bs a => bs.push <$> f a) bs := by
unfold mapM.map; split
· rw [ List.getElem_cons_drop_succ_eq_drop _]
simp only [aux (i + 1), map_eq_pure_bind, List.foldlM_cons, bind_assoc,
simp only [aux (i + 1), map_eq_pure_bind, length_toList, List.foldlM_cons, bind_assoc,
pure_bind]
rfl
· rw [List.drop_of_length_le (Nat.ge_of_not_lt _)]; rfl
@@ -1274,8 +1257,7 @@ theorem map_singleton {f : α → β} {a : α} : map f #[a] = #[f a] := by simp
-- We use a lower priority here as there are more specific lemmas in downstream libraries
-- which should be able to fire first.
@[simp 500, grind =] theorem mem_map {f : α β} {xs : Array α} :
b xs.map f a, a xs f a = b := by
@[simp 500] theorem mem_map {f : α β} {xs : Array α} : b xs.map f a, a xs f a = b := by
simp only [mem_def, toList_map, List.mem_map]
theorem exists_of_mem_map (h : b map f l) : a, a l f a = b := mem_map.1 h
@@ -1502,19 +1484,6 @@ theorem forall_mem_filter {p : α → Bool} {xs : Array α} {P : α → Prop} :
( (i) (_ : i xs.filter p), P i) (j) (_ : j xs), p j P j := by
simp
@[grind] theorem getElem_filter {xs : Array α} {p : α Bool} {i : Nat} (h : i < (xs.filter p).size) :
p (xs.filter p)[i] :=
(mem_filter.mp (getElem_mem h)).2
theorem getElem?_filter {xs : Array α} {p : α Bool} {i : Nat} (h : i < (xs.filter p).size)
(w : (xs.filter p)[i]? = some a) : p a := by
rw [getElem?_eq_getElem] at w
simp only [Option.some.injEq] at w
rw [ w]
apply getElem_filter h
grind_pattern getElem?_filter => (xs.filter p)[i]?, some a
@[simp] theorem filter_filter {p q : α Bool} {xs : Array α} :
filter p (filter q xs) = filter (fun a => p a && q a) xs := by
apply ext'
@@ -1757,7 +1726,7 @@ theorem forall_mem_filterMap {f : α → Option β} {xs : Array α} {P : β →
theorem map_filterMap_of_inv {f : α Option β} {g : β α} (H : x : α, (f x).map g = some x) {xs : Array α} :
map g (filterMap f xs) = xs := by
simp only [map_filterMap, H, filterMap_some]
simp only [map_filterMap, H, filterMap_some, id]
@[grind ]
theorem forall_none_of_filterMap_eq_empty (h : filterMap f xs = #[]) : x xs, f x = none := by
@@ -1889,14 +1858,14 @@ theorem getElem_append_right {xs ys : Array α} {h : i < (xs ++ ys).size} (hle :
(xs ++ ys)[i] = ys[i - xs.size]'(Nat.sub_lt_left_of_lt_add hle (size_append .. h)) := by
simp only [ getElem_toList]
have h' : i < (xs.toList ++ ys.toList).length := by rwa [ length_toList, toList_append] at h
conv => rhs; unfold Array.size; rw [ List.getElem_append_right (h₁ := hle) (h₂ := h')]
conv => rhs; rw [ List.getElem_append_right (h₁ := hle) (h₂ := h')]
apply List.get_of_eq; rw [toList_append]
theorem getElem?_append_left {xs ys : Array α} {i : Nat} (hn : i < xs.size) :
(xs ++ ys)[i]? = xs[i]? := by
have hn' : i < (xs ++ ys).size := Nat.lt_of_lt_of_le hn <|
size_append .. Nat.le_add_right ..
simp_all
simp_all [getElem?_eq_getElem, getElem_append]
theorem getElem?_append_right {xs ys : Array α} {i : Nat} (h : xs.size i) :
(xs ++ ys)[i]? = ys[i - xs.size]? := by
@@ -2027,7 +1996,7 @@ theorem append_eq_singleton_iff {xs ys : Array α} {x : α} :
xs ++ ys = #[x] (xs = #[] ys = #[x]) (xs = #[x] ys = #[]) := by
rcases xs with xs
rcases ys with ys
simp only [List.append_toArray, mk.injEq, List.append_eq_singleton_iff]
simp only [List.append_toArray, mk.injEq, List.append_eq_singleton_iff, toArray_eq_append_iff]
theorem singleton_eq_append_iff {xs ys : Array α} {x : α} :
#[x] = xs ++ ys (xs = #[] ys = #[x]) (xs = #[x] ys = #[]) := by
@@ -2056,7 +2025,7 @@ theorem append_eq_append_iff {ws xs ys zs : Array α} :
xs ++ ys.set (i - xs.size) x (by simp at h; omega) := by
rcases xs with s
rcases ys with t
simp only [List.append_toArray, List.set_toArray, List.set_append, Array.size]
simp only [List.append_toArray, List.set_toArray, List.set_append]
split <;> simp
@[simp] theorem set_append_left {xs ys : Array α} {i : Nat} {x : α} (h : i < xs.size) :
@@ -2076,7 +2045,7 @@ theorem append_eq_append_iff {ws xs ys zs : Array α} :
xs ++ ys.setIfInBounds (i - xs.size) x := by
rcases xs with s
rcases ys with t
simp only [List.append_toArray, List.setIfInBounds_toArray, List.set_append, Array.size]
simp only [List.append_toArray, List.setIfInBounds_toArray, List.set_append]
split <;> simp
@[simp] theorem setIfInBounds_append_left {xs ys : Array α} {i : Nat} {x : α} (h : i < xs.size) :
@@ -2353,7 +2322,7 @@ theorem flatMap_toArray {β} {f : α → Array β} {as : List α} :
theorem size_flatMap {xs : Array α} {f : α Array β} :
(xs.flatMap f).size = sum (map (fun a => (f a).size) xs) := by
rcases xs with l
simp
simp [Function.comp_def]
@[simp, grind] theorem mem_flatMap {f : α Array β} {b} {xs : Array α} : b xs.flatMap f a, a xs b f a := by
simp [flatMap_def, mem_flatten]
@@ -2571,7 +2540,7 @@ abbrev map_mkArray := @map_replicate
@[grind] theorem filter_replicate (w : stop = n) :
(replicate n a).filter p 0 stop = if p a then replicate n a else #[] := by
apply Array.ext'
simp only [w]
simp only [w, toList_filter', toList_replicate, List.filter_replicate]
split <;> simp_all
@[deprecated filter_replicate (since := "2025-03-18")]
@@ -2611,7 +2580,7 @@ abbrev filterMap_mkArray_of_some := @filterMap_replicate_of_some
@[simp] theorem filterMap_replicate_of_isSome {f : α Option β} (h : (f a).isSome) :
(replicate n a).filterMap f = replicate n (Option.get _ h) := by
match w : f a, h with
| some b, _ => simp [filterMap_replicate, w]
| some b, _ => simp [filterMap_replicate, h, w]
@[deprecated filterMap_replicate_of_isSome (since := "2025-03-18")]
abbrev filterMap_mkArray_of_isSome := @filterMap_replicate_of_isSome
@@ -2646,7 +2615,7 @@ abbrev flatten_mkArray_replicate := @flatten_replicate_replicate
theorem flatMap_replicate {f : α Array β} : (replicate n a).flatMap f = (replicate n (f a)).flatten := by
rw [ toList_inj]
simp [List.flatMap_replicate]
simp [flatMap_toList, List.flatMap_replicate]
@[deprecated flatMap_replicate (since := "2025-03-18")]
abbrev flatMap_mkArray := @flatMap_replicate
@@ -3024,10 +2993,6 @@ theorem extract_empty_of_size_le_start {xs : Array α} {start stop : Nat} (h : x
apply ext'
simp
theorem _root_.List.toArray_drop {l : List α} {k : Nat} :
(l.drop k).toArray = l.toArray.extract k := by
rw [List.drop_eq_extract, List.extract_toArray, List.size_toArray]
@[deprecated extract_size (since := "2025-02-27")]
theorem take_size {xs : Array α} : xs.take xs.size = xs := by
cases xs
@@ -3638,8 +3603,8 @@ We can prove that two folds over the same array are related (by some arbitrary r
if we know that the initial elements are related and the folding function, for each element of the array,
preserves the relation.
-/
theorem foldl_rel {xs : Array α} {f : β α β} {g : γ α γ} {a : β} {b : γ} {r : β γ Prop}
(h : r a b) (h' : (a : α), a xs (c : β) (c' : γ), r c c' r (f c a) (g c' a)) :
theorem foldl_rel {xs : Array α} {f g : β α β} {a b : β} {r : β β Prop}
(h : r a b) (h' : (a : α), a xs (c c' : β), r c c' r (f c a) (g c' a)) :
r (xs.foldl (fun acc a => f acc a) a) (xs.foldl (fun acc a => g acc a) b) := by
rcases xs with xs
simpa using List.foldl_rel h (by simpa using h')
@@ -3649,8 +3614,8 @@ We can prove that two folds over the same array are related (by some arbitrary r
if we know that the initial elements are related and the folding function, for each element of the array,
preserves the relation.
-/
theorem foldr_rel {xs : Array α} {f : α β β} {g : α γ γ} {a : β} {b : γ} {r : β γ Prop}
(h : r a b) (h' : (a : α), a xs (c : β) (c' : γ), r c c' r (f a c) (g a c')) :
theorem foldr_rel {xs : Array α} {f g : α β β} {a b : β} {r : β β Prop}
(h : r a b) (h' : (a : α), a xs (c c' : β), r c c' r (f a c) (g a c')) :
r (xs.foldr (fun a acc => f a acc) a) (xs.foldr (fun a acc => g a acc) b) := by
rcases xs with xs
simpa using List.foldr_rel h (by simpa using h')
@@ -3765,7 +3730,7 @@ theorem back?_replicate {a : α} {n : Nat} :
@[deprecated back?_replicate (since := "2025-03-18")]
abbrev back?_mkArray := @back?_replicate
@[simp] theorem back_replicate {xs : Array α} (w : 0 < n) : (replicate n xs).back (by simpa using w) = xs := by
@[simp] theorem back_replicate (w : 0 < n) : (replicate n a).back (by simpa using w) = a := by
simp [back_eq_getElem]
@[deprecated back_replicate (since := "2025-03-18")]
@@ -4108,11 +4073,11 @@ abbrev all_mkArray := @all_replicate
/-! ### modify -/
@[simp, grind =] theorem size_modify {xs : Array α} {i : Nat} {f : α α} : (xs.modify i f).size = xs.size := by
@[simp] theorem size_modify {xs : Array α} {i : Nat} {f : α α} : (xs.modify i f).size = xs.size := by
unfold modify modifyM
split <;> simp
@[grind =] theorem getElem_modify {xs : Array α} {j i} (h : i < (xs.modify j f).size) :
theorem getElem_modify {xs : Array α} {j i} (h : i < (xs.modify j f).size) :
(xs.modify j f)[i] = if j = i then f (xs[i]'(by simpa using h)) else xs[i]'(by simpa using h) := by
simp only [modify, modifyM]
split
@@ -4120,7 +4085,7 @@ abbrev all_mkArray := @all_replicate
· simp only [Id.run_pure]
rw [if_neg (mt (by rintro rfl; exact h) (by simp_all))]
@[simp, grind =] theorem toList_modify {xs : Array α} {f : α α} {i : Nat} :
@[simp] theorem toList_modify {xs : Array α} {f : α α} {i : Nat} :
(xs.modify i f).toList = xs.toList.modify i f := by
apply List.ext_getElem
· simp
@@ -4135,7 +4100,7 @@ theorem getElem_modify_of_ne {xs : Array α} {i : Nat} (h : i ≠ j)
(xs.modify i f)[j] = xs[j]'(by simpa using hj) := by
simp [getElem_modify hj, h]
@[grind =] theorem getElem?_modify {xs : Array α} {i : Nat} {f : α α} {j : Nat} :
theorem getElem?_modify {xs : Array α} {i : Nat} {f : α α} {j : Nat} :
(xs.modify i f)[j]? = if i = j then xs[j]?.map f else xs[j]? := by
simp only [getElem?_def, size_modify, getElem_modify, Option.map_dif]
split <;> split <;> rfl
@@ -4144,7 +4109,7 @@ theorem getElem_modify_of_ne {xs : Array α} {i : Nat} (h : i ≠ j)
@[simp] theorem getElem_swap_right {xs : Array α} {i j : Nat} {hi hj} :
(xs.swap i j hi hj)[j]'(by simpa using hj) = xs[i] := by
simp [swap_def]
simp [swap_def, getElem_set]
@[simp] theorem getElem_swap_left {xs : Array α} {i j : Nat} {hi hj} :
(xs.swap i j hi hj)[i]'(by simpa using hi) = xs[j] := by
@@ -4184,18 +4149,20 @@ theorem swap_comm {xs : Array α} {i j : Nat} (hi hj) : xs.swap i j hi hj = xs.s
· split <;> simp_all
· split <;> simp_all
@[simp, grind =] theorem size_swapIfInBounds {xs : Array α} {i j : Nat} :
@[simp] theorem size_swapIfInBounds {xs : Array α} {i j : Nat} :
(xs.swapIfInBounds i j).size = xs.size := by unfold swapIfInBounds; split <;> (try split) <;> simp [size_swap]
@[deprecated size_swapIfInBounds (since := "2024-11-24")] abbrev size_swap! := @size_swapIfInBounds
/-! ### swapAt -/
@[simp, grind =] theorem swapAt_def {xs : Array α} {i : Nat} {v : α} (hi) :
@[simp] theorem swapAt_def {xs : Array α} {i : Nat} {v : α} (hi) :
xs.swapAt i v hi = (xs[i], xs.set i v) := rfl
theorem size_swapAt {xs : Array α} {i : Nat} {v : α} (hi) :
(xs.swapAt i v hi).2.size = xs.size := by simp
@[simp, grind =]
@[simp]
theorem swapAt!_def {xs : Array α} {i : Nat} {v : α} (h : i < xs.size) :
xs.swapAt! i v = (xs[i], xs.set i v) := by simp [swapAt!, h]
@@ -4363,44 +4330,42 @@ theorem getElem?_ofFn {f : Fin n → α} {i : Nat} :
/-! ### Preliminaries about `range` and `range'` -/
@[simp, grind =] theorem size_range' {start size step} : (range' start size step).size = size := by
@[simp] theorem size_range' {start size step} : (range' start size step).size = size := by
simp [range']
@[simp, grind =] theorem toList_range' {start size step} :
@[simp] theorem toList_range' {start size step} :
(range' start size step).toList = List.range' start size step := by
apply List.ext_getElem <;> simp [range']
@[simp, grind =]
@[simp]
theorem getElem_range' {start size step : Nat} {i : Nat}
(h : i < (Array.range' start size step).size) :
(Array.range' start size step)[i] = start + step * i := by
simp [ getElem_toList]
@[grind =]
theorem getElem?_range' {start size step : Nat} {i : Nat} :
(Array.range' start size step)[i]? = if i < size then some (start + step * i) else none := by
simp [getElem?_def, getElem_range']
@[simp, grind =] theorem _root_.List.toArray_range' {start size step : Nat} :
@[simp] theorem _root_.List.toArray_range' {start size step : Nat} :
(List.range' start size step).toArray = Array.range' start size step := by
apply ext'
simp
@[simp, grind =] theorem size_range {n : Nat} : (range n).size = n := by
@[simp] theorem size_range {n : Nat} : (range n).size = n := by
simp [range]
@[simp, grind =] theorem toList_range {n : Nat} : (range n).toList = List.range n := by
@[simp] theorem toList_range {n : Nat} : (range n).toList = List.range n := by
apply List.ext_getElem <;> simp [range]
@[simp, grind =]
@[simp]
theorem getElem_range {n : Nat} {i : Nat} (h : i < (Array.range n).size) : (Array.range n)[i] = i := by
simp [ getElem_toList]
@[grind =]
theorem getElem?_range {n : Nat} {i : Nat} : (Array.range n)[i]? = if i < n then some i else none := by
simp [getElem?_def, getElem_range]
@[simp, grind =] theorem _root_.List.toArray_range {n : Nat} : (List.range n).toArray = Array.range n := by
@[simp] theorem _root_.List.toArray_range {n : Nat} : (List.range n).toArray = Array.range n := by
apply ext'
simp
@@ -4441,7 +4406,7 @@ theorem size_uset {xs : Array α} {v : α} {i : USize} (h : i.toNat < xs.size) :
@[simp] theorem getD_eq_getD_getElem? {xs : Array α} {i : Nat} {d : α} :
xs.getD i d = xs[i]?.getD d := by
simp only [getD]; split <;> simp [*]
simp only [getD]; split <;> simp [getD_getElem?, *]
theorem getElem!_eq_getD [Inhabited α] {xs : Array α} {i} : xs[i]! = xs.getD i default := by
rfl
@@ -4475,7 +4440,7 @@ theorem back!_eq_back? [Inhabited α] {xs : Array α} : xs.back! = xs.back?.getD
simp [back!, back?, getElem!_def, Option.getD]; rfl
@[simp, grind] theorem back?_push {xs : Array α} {x : α} : (xs.push x).back? = some x := by
simp [back?]
simp [back?, getElem?_toList]
@[simp] theorem back!_push [Inhabited α] {xs : Array α} {x : α} : (xs.push x).back! = x := by
simp [back!_eq_back?]
@@ -4537,13 +4502,12 @@ abbrev contains_def [DecidableEq α] {a : α} {xs : Array α} : xs.contains a
@[simp] theorem size_zipWith {xs : Array α} {ys : Array β} {f : α β γ} :
(zipWith f xs ys).size = min xs.size ys.size := by
rw [size_eq_length_toList, toList_zipWith, List.length_zipWith]
simp only [Array.size]
@[simp] theorem size_zip {xs : Array α} {ys : Array β} :
(zip xs ys).size = min xs.size ys.size :=
size_zipWith
@[simp, grind =] theorem getElem_zipWith {xs : Array α} {ys : Array β} {f : α β γ} {i : Nat}
@[simp] theorem getElem_zipWith {xs : Array α} {ys : Array β} {f : α β γ} {i : Nat}
(hi : i < (zipWith f xs ys).size) :
(zipWith f xs ys)[i] = f (xs[i]'(by simp at hi; omega)) (ys[i]'(by simp at hi; omega)) := by
cases xs
@@ -4610,7 +4574,7 @@ theorem toListRev_toArray {l : List α} : l.toArray.toListRev = l.reverse := by
| nil => simp
| cons a l ih =>
simp only [foldlM_toArray] at ih
rw [size_toArray, mapM'_cons]
rw [size_toArray, mapM'_cons, foldlM_toArray]
simp [ih]
theorem uset_toArray {l : List α} {i : USize} {a : α} {h : i.toNat < l.toArray.size} :
@@ -4624,7 +4588,7 @@ theorem uset_toArray {l : List α} {i : USize} {a : α} {h : i.toNat < l.toArray
@[simp, grind =] theorem flatten_toArray {L : List (List α)} :
(L.toArray.map List.toArray).flatten = L.flatten.toArray := by
apply ext'
simp
simp [Function.comp_def]
end List
@@ -4716,7 +4680,7 @@ namespace List
intro h'
specialize ih (by omega)
have : as.length - (i + 1) + 1 = as.length - i := by omega
simp_all
simp_all [ih]
· simp only [size_toArray, Nat.not_lt] at h
have : as.length = 0 := by omega
simp_all
@@ -4724,10 +4688,17 @@ namespace List
end List
/-! ### Deprecations -/
namespace List
@[deprecated setIfInBounds_toArray (since := "2024-11-24")] abbrev setD_toArray := @setIfInBounds_toArray
end List
namespace Array
@[deprecated size_toArray (since := "2024-12-11")]
theorem size_mk (as : List α) : (Array.mk as).size = as.length := by simp
theorem size_mk (as : List α) : (Array.mk as).size = as.length := by simp [size]
@[deprecated getElem?_eq_getElem (since := "2024-12-11")]
theorem getElem?_lt
@@ -4743,7 +4714,7 @@ 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]
simp [getElem?_eq_none, h]
@[deprecated getD_getElem? (since := "2024-12-11")] abbrev getD_get? := @getD_getElem?
@@ -4758,7 +4729,7 @@ set_option linter.deprecated false in
theorem get!_eq_getD_getElem? [Inhabited α] (xs : Array α) (i : Nat) :
xs.get! i = xs[i]?.getD default := by
by_cases p : i < xs.size <;>
simp [get!, getD_eq_getD_getElem?, p]
simp [get!, getElem!_eq_getD, getD_eq_getD_getElem?, getD_getElem?, p]
set_option linter.deprecated false in
@[deprecated get!_eq_getD_getElem? (since := "2025-02-12")] abbrev get!_eq_getElem? := @get!_eq_getD_getElem?
@@ -4776,6 +4747,17 @@ 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 set!_is_setIfInBounds (since := "2024-11-24")] abbrev set_is_setIfInBounds := @set!_eq_setIfInBounds
@[deprecated size_setIfInBounds (since := "2024-11-24")] abbrev size_setD := @size_setIfInBounds
@[deprecated getElem_setIfInBounds_eq (since := "2024-11-24")] abbrev getElem_setD_eq := @getElem_setIfInBounds_self
@[deprecated getElem?_setIfInBounds_eq (since := "2024-11-24")] abbrev get?_setD_eq := @getElem?_setIfInBounds_self
@[deprecated getD_getElem?_setIfInBounds (since := "2025-04-04")] abbrev getD_get?_setIfInBounds := @getD_getElem?_setIfInBounds
@[deprecated getD_getElem?_setIfInBounds (since := "2024-11-24")] abbrev getD_setD := @getD_getElem?_setIfInBounds
@[deprecated getElem_setIfInBounds (since := "2024-11-24")] abbrev getElem_setD := @getElem_setIfInBounds
@[deprecated List.getElem_toArray (since := "2024-11-29")]
theorem getElem_mk {xs : List α} {i : Nat} (h : i < xs.length) : (Array.mk xs)[i] = xs[i] := rfl
@[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

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@@ -6,7 +6,5 @@ Author: Kim Morrison
module
prelude
public import Init.Data.Array.Lex.Basic
public import Init.Data.Array.Lex.Lemmas
public section
import Init.Data.Array.Lex.Basic
import Init.Data.Array.Lex.Lemmas

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@@ -6,11 +6,9 @@ Author: Kim Morrison
module
prelude
public import Init.Data.Array.Basic
public import Init.Data.Nat.Lemmas
public import Init.Data.Range
public section
import Init.Data.Array.Basic
import Init.Data.Nat.Lemmas
import Init.Data.Range
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
set_option linter.indexVariables true -- Enforce naming conventions for index variables.

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@@ -6,11 +6,9 @@ Author: Kim Morrison
module
prelude
public import all Init.Data.Array.Lex.Basic
public import Init.Data.Array.Lemmas
public import Init.Data.List.Lex
public section
import all Init.Data.Array.Lex.Basic
import Init.Data.Array.Lemmas
import Init.Data.List.Lex
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
set_option linter.indexVariables true -- Enforce naming conventions for index variables.
@@ -164,7 +162,7 @@ instance [DecidableEq α] [LT α] [DecidableLT α]
{xs ys : Array α} : lex xs ys = false ys xs := by
cases xs
cases ys
simp
simp [List.not_lt_iff_ge]
instance [DecidableEq α] [LT α] [DecidableLT α] : DecidableLT (Array α) :=
fun xs ys => decidable_of_iff (lex xs ys = true) lex_eq_true_iff_lt

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@@ -6,13 +6,11 @@ Authors: Mario Carneiro, Kim Morrison
module
prelude
public import all Init.Data.Array.Basic
public import Init.Data.Array.Lemmas
public import Init.Data.Array.Attach
public import Init.Data.Array.OfFn
public import all Init.Data.List.MapIdx
public section
import all Init.Data.Array.Basic
import Init.Data.Array.Lemmas
import Init.Data.Array.Attach
import Init.Data.Array.OfFn
import all Init.Data.List.MapIdx
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
set_option linter.indexVariables true -- Enforce naming conventions for index variables.
@@ -53,27 +51,27 @@ theorem mapFinIdx_spec {xs : Array α} {f : (i : Nat) → α → (h : i < xs.siz
i h, p i ((Array.mapFinIdx xs f)[i]) h :=
(mapFinIdx_induction _ _ (fun _ => True) trivial p fun _ _ _ => hs .., trivial).2
@[simp, grind =] theorem size_mapFinIdx {xs : Array α} {f : (i : Nat) α (h : i < xs.size) β} :
@[simp] theorem size_mapFinIdx {xs : Array α} {f : (i : Nat) α (h : i < xs.size) β} :
(xs.mapFinIdx f).size = xs.size :=
(mapFinIdx_spec (p := fun _ _ _ => True) (hs := fun _ _ => trivial)).1
@[simp, grind =] theorem size_zipIdx {xs : Array α} {k : Nat} : (xs.zipIdx k).size = xs.size :=
@[simp] 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}
@[simp] theorem getElem_mapFinIdx {xs : Array α} {f : (i : Nat) α (h : i < xs.size) β} {i : Nat}
(h : i < (xs.mapFinIdx f).size) :
(xs.mapFinIdx f)[i] = f i (xs[i]'(by simp_all)) (by simp_all) :=
(mapFinIdx_spec (p := fun i b h => b = f i xs[i] h) fun _ _ => rfl).2 i _
@[simp, grind =] theorem getElem?_mapFinIdx {xs : Array α} {f : (i : Nat) α (h : i < xs.size) β} {i : Nat} :
@[simp] theorem getElem?_mapFinIdx {xs : Array α} {f : (i : Nat) α (h : i < xs.size) β} {i : Nat} :
(xs.mapFinIdx f)[i]? =
xs[i]?.pbind fun b h => some <| f i b (getElem?_eq_some_iff.1 h).1 := by
simp only [getElem?_def, size_mapFinIdx, getElem_mapFinIdx]
split <;> simp_all
@[simp, grind =] theorem toList_mapFinIdx {xs : Array α} {f : (i : Nat) α (h : i < xs.size) β} :
@[simp] theorem toList_mapFinIdx {xs : Array α} {f : (i : Nat) α (h : i < xs.size) β} :
(xs.mapFinIdx f).toList = xs.toList.mapFinIdx (fun i a h => f i a (by simpa)) := by
apply List.ext_getElem <;> simp
@@ -93,20 +91,20 @@ theorem mapIdx_spec {f : Nat → α → β} {xs : Array α}
i h, p i ((xs.mapIdx f)[i]) h :=
(mapIdx_induction (motive := fun _ => True) trivial fun _ _ _ => hs .., trivial).2
@[simp, grind =] theorem size_mapIdx {f : Nat α β} {xs : Array α} : (xs.mapIdx f).size = xs.size :=
@[simp] theorem size_mapIdx {f : Nat α β} {xs : Array α} : (xs.mapIdx f).size = xs.size :=
(mapIdx_spec (p := fun _ _ _ => True) (hs := fun _ _ => trivial)).1
@[simp, grind =] theorem getElem_mapIdx {f : Nat α β} {xs : Array α} {i : Nat}
@[simp] theorem getElem_mapIdx {f : Nat α β} {xs : Array α} {i : Nat}
(h : i < (xs.mapIdx f).size) :
(xs.mapIdx f)[i] = f i (xs[i]'(by simp_all)) :=
(mapIdx_spec (p := fun i b h => b = f i xs[i]) fun _ _ => rfl).2 i (by simp_all)
@[simp, grind =] theorem getElem?_mapIdx {f : Nat α β} {xs : Array α} {i : Nat} :
@[simp] theorem getElem?_mapIdx {f : Nat α β} {xs : Array α} {i : Nat} :
(xs.mapIdx f)[i]? =
xs[i]?.map (f i) := by
simp [getElem?_def, size_mapIdx, getElem_mapIdx]
@[simp, grind =] theorem toList_mapIdx {f : Nat α β} {xs : Array α} :
@[simp] theorem toList_mapIdx {f : Nat α β} {xs : Array α} :
(xs.mapIdx f).toList = xs.toList.mapIdx (fun i a => f i a) := by
apply List.ext_getElem <;> simp
@@ -128,7 +126,7 @@ namespace Array
/-! ### zipIdx -/
@[simp, grind =] theorem getElem_zipIdx {xs : Array α} {k : Nat} {i : Nat} (h : i < (xs.zipIdx k).size) :
@[simp] theorem getElem_zipIdx {xs : Array α} {k : Nat} {i : Nat} (h : i < (xs.zipIdx k).size) :
(xs.zipIdx k)[i] = (xs[i]'(by simp_all), k + i) := by
simp [zipIdx]
@@ -137,12 +135,12 @@ 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
ext i hi₁ hi₂ <;> simp [Nat.add_comm]
@[deprecated zipIdx_toArray (since := "2025-01-21")]
abbrev zipWithIndex_toArray := @zipIdx_toArray
@[simp, grind =] theorem toList_zipIdx {xs : Array α} {k : Nat} :
@[simp] theorem toList_zipIdx {xs : Array α} {k : Nat} :
(xs.zipIdx k).toList = xs.toList.zipIdx k := by
rcases xs with xs
simp
@@ -187,26 +185,24 @@ abbrev mem_zipWithIndex_iff_getElem? := @mem_zipIdx_iff_getElem?
subst w
rfl
@[simp, grind =]
@[simp]
theorem mapFinIdx_empty {f : (i : Nat) α (h : i < 0) β} : mapFinIdx #[] f = #[] :=
rfl
theorem mapFinIdx_eq_ofFn {xs : Array α} {f : (i : Nat) α (h : i < xs.size) β} :
xs.mapFinIdx f = Array.ofFn fun i : Fin xs.size => f i xs[i] i.2 := by
cases xs
simp only [List.mapFinIdx_toArray, List.mapFinIdx_eq_ofFn, Fin.getElem_fin, List.getElem_toArray]
simp [Array.size]
simp [List.mapFinIdx_eq_ofFn]
@[grind =]
theorem mapFinIdx_append {xs ys : Array α} {f : (i : Nat) α (h : i < (xs ++ ys).size) β} :
(xs ++ ys).mapFinIdx f =
xs.mapFinIdx (fun i a h => f i a (by simp; omega)) ++
ys.mapFinIdx (fun i a h => f (i + xs.size) a (by simp; omega)) := by
cases xs
cases ys
simp [List.mapFinIdx_append, Array.size]
simp [List.mapFinIdx_append]
@[simp, grind =]
@[simp]
theorem mapFinIdx_push {xs : Array α} {a : α} {f : (i : Nat) α (h : i < (xs.push a).size) β} :
mapFinIdx (xs.push a) f =
(mapFinIdx xs (fun i a h => f i a (by simp; omega))).push (f xs.size a (by simp)) := by
@@ -240,7 +236,7 @@ theorem exists_of_mem_mapFinIdx {b : β} {xs : Array α} {f : (i : Nat) → α
rcases xs with xs
exact List.exists_of_mem_mapFinIdx (by simpa using h)
@[simp, grind =] theorem mem_mapFinIdx {b : β} {xs : Array α} {f : (i : Nat) α (h : i < xs.size) β} :
@[simp] theorem mem_mapFinIdx {b : β} {xs : Array α} {f : (i : Nat) α (h : i < xs.size) β} :
b xs.mapFinIdx f (i : Nat) (h : i < xs.size), f i xs[i] h = b := by
rcases xs with xs
simp
@@ -268,12 +264,12 @@ theorem mapFinIdx_eq_append_iff {xs : Array α} {f : (i : Nat) → α → (h : i
toArray_eq_append_iff]
constructor
· rintro l₁, l₂, rfl, rfl, rfl
refine l₁.toArray, l₂.toArray, by simp_all [Array.size]
refine l₁.toArray, l₂.toArray, by simp_all
· rintro l₁, l₂, rfl, h₁, h₂
simp [ toList_inj] at h₁ h₂
obtain rfl := h₁
obtain rfl := h₂
refine l₁, l₂, by simp_all [Array.size]
refine l₁, l₂, by simp_all
theorem mapFinIdx_eq_push_iff {xs : Array α} {b : β} {f : (i : Nat) α (h : i < xs.size) β} :
xs.mapFinIdx f = ys.push b
@@ -293,7 +289,7 @@ theorem mapFinIdx_eq_mapFinIdx_iff {xs : Array α} {f g : (i : Nat) → α → (
rw [eq_comm, mapFinIdx_eq_iff]
simp
@[simp, grind =] theorem mapFinIdx_mapFinIdx {xs : Array α}
@[simp] theorem mapFinIdx_mapFinIdx {xs : Array α}
{f : (i : Nat) α (h : i < xs.size) β}
{g : (i : Nat) β (h : i < (xs.mapFinIdx f).size) γ} :
(xs.mapFinIdx f).mapFinIdx g = xs.mapFinIdx (fun i a h => g i (f i a h) (by simpa using h)) := by
@@ -308,14 +304,14 @@ theorem mapFinIdx_eq_replicate_iff {xs : Array α} {f : (i : Nat) → α → (h
@[deprecated mapFinIdx_eq_replicate_iff (since := "2025-03-18")]
abbrev mapFinIdx_eq_mkArray_iff := @mapFinIdx_eq_replicate_iff
@[simp, grind =] theorem mapFinIdx_reverse {xs : Array α} {f : (i : Nat) α (h : i < xs.reverse.size) β} :
@[simp] theorem mapFinIdx_reverse {xs : Array α} {f : (i : Nat) α (h : i < xs.reverse.size) β} :
xs.reverse.mapFinIdx f = (xs.mapFinIdx (fun i a h => f (xs.size - 1 - i) a (by simp; omega))).reverse := by
rcases xs with l
simp [List.mapFinIdx_reverse, Array.size]
simp [List.mapFinIdx_reverse]
/-! ### mapIdx -/
@[simp, grind =]
@[simp]
theorem mapIdx_empty {f : Nat α β} : mapIdx f #[] = #[] :=
rfl
@@ -335,14 +331,13 @@ theorem mapIdx_eq_zipIdx_map {xs : Array α} {f : Nat → α → β} :
@[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} :
(xs ++ ys).mapIdx f = xs.mapIdx f ++ ys.mapIdx (fun i => f (i + xs.size)) := by
rcases xs with xs
rcases ys with ys
simp [List.mapIdx_append]
@[simp, grind =]
@[simp]
theorem mapIdx_push {xs : Array α} {a : α} :
mapIdx f (xs.push a) = (mapIdx f xs).push (f xs.size a) := by
simp [ append_singleton, mapIdx_append]
@@ -364,7 +359,7 @@ theorem exists_of_mem_mapIdx {b : β} {xs : Array α}
rw [mapIdx_eq_mapFinIdx] at h
simpa [Fin.exists_iff] using exists_of_mem_mapFinIdx h
@[simp, grind =] theorem mem_mapIdx {b : β} {xs : Array α} :
@[simp] theorem mem_mapIdx {b : β} {xs : Array α} :
b mapIdx f xs (i : Nat) (h : i < xs.size), f i xs[i] = b := by
constructor
· intro h
@@ -418,7 +413,7 @@ theorem mapIdx_eq_mapIdx_iff {xs : Array α} :
rcases xs with xs
simp [List.mapIdx_eq_mapIdx_iff]
@[simp, grind =] theorem mapIdx_set {f : Nat α β} {xs : Array α} {i : Nat} {h : i < xs.size} {a : α} :
@[simp] theorem mapIdx_set {xs : Array α} {i : Nat} {h : i < xs.size} {a : α} :
(xs.set i a).mapIdx f = (xs.mapIdx f).set i (f i a) (by simpa) := by
rcases xs with xs
simp [List.mapIdx_set]
@@ -428,17 +423,17 @@ theorem mapIdx_eq_mapIdx_iff {xs : Array α} :
rcases xs with xs
simp [List.mapIdx_set]
@[simp, grind =] theorem back?_mapIdx {xs : Array α} {f : Nat α β} :
@[simp] theorem back?_mapIdx {xs : Array α} {f : Nat α β} :
(mapIdx f xs).back? = (xs.back?).map (f (xs.size - 1)) := by
rcases xs with xs
simp [List.getLast?_mapIdx]
@[simp, grind =] theorem back_mapIdx {xs : Array α} {f : Nat α β} (h) :
@[simp] theorem back_mapIdx {xs : Array α} {f : Nat α β} (h) :
(xs.mapIdx f).back h = f (xs.size - 1) (xs.back (by simpa using h)) := by
rcases xs with xs
simp [List.getLast_mapIdx]
@[simp, grind =] theorem mapIdx_mapIdx {xs : Array α} {f : Nat α β} {g : Nat β γ} :
@[simp] theorem mapIdx_mapIdx {xs : Array α} {f : Nat α β} {g : Nat β γ} :
(xs.mapIdx f).mapIdx g = xs.mapIdx (fun i => g i f i) := by
simp [mapIdx_eq_iff]
@@ -451,7 +446,7 @@ theorem mapIdx_eq_replicate_iff {xs : Array α} {f : Nat → α → β} {b : β}
@[deprecated mapIdx_eq_replicate_iff (since := "2025-03-18")]
abbrev mapIdx_eq_mkArray_iff := @mapIdx_eq_replicate_iff
@[simp, grind =] theorem mapIdx_reverse {xs : Array α} {f : Nat α β} :
@[simp] theorem mapIdx_reverse {xs : Array α} {f : Nat α β} :
xs.reverse.mapIdx f = (mapIdx (fun i => f (xs.size - 1 - i)) xs).reverse := by
rcases xs with xs
simp [List.mapIdx_reverse]
@@ -460,7 +455,7 @@ end Array
namespace List
@[grind =] theorem mapFinIdxM_toArray [Monad m] [LawfulMonad m] {l : List α}
@[grind] theorem mapFinIdxM_toArray [Monad m] [LawfulMonad m] {l : List α}
{f : (i : Nat) α (h : i < l.length) m β} :
l.toArray.mapFinIdxM f = toArray <$> l.mapFinIdxM f := by
let rec go (i : Nat) (acc : Array β) (inv : i + acc.size = l.length) :
@@ -481,7 +476,7 @@ namespace List
simp only [Array.mapFinIdxM, mapFinIdxM]
exact go _ #[] _
@[grind =] theorem mapIdxM_toArray [Monad m] [LawfulMonad m] {l : List α}
@[grind] theorem mapIdxM_toArray [Monad m] [LawfulMonad m] {l : List α}
{f : Nat α m β} :
l.toArray.mapIdxM f = toArray <$> l.mapIdxM f := by
let rec go (bs : List α) (acc : Array β) (inv : bs.length + acc.size = l.length) :
@@ -491,7 +486,7 @@ namespace List
| x :: xs => simp only [mapFinIdxM.go, mapIdxM.go, go]
unfold Array.mapIdxM
rw [mapFinIdxM_toArray]
simp only [mapFinIdxM, mapIdxM, Array.size]
simp only [mapFinIdxM, mapIdxM]
rw [go]
end List

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@@ -6,11 +6,9 @@ Authors: Leonardo de Moura, Joachim Breitner
module
prelude
public import Init.Data.Array.Basic
public import Init.Data.Nat.Linear
public import Init.Data.List.BasicAux
public section
import Init.Data.Array.Basic
import Init.Data.Nat.Linear
import Init.Data.List.BasicAux
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
set_option linter.indexVariables true -- Enforce naming conventions for index variables.

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@@ -6,13 +6,11 @@ Authors: Kim Morrison
module
prelude
public import all Init.Data.List.Control
public import all Init.Data.Array.Basic
public import Init.Data.Array.Lemmas
public import Init.Data.Array.Attach
public import Init.Data.List.Monadic
public section
import all Init.Data.List.Control
import all Init.Data.Array.Basic
import Init.Data.Array.Lemmas
import Init.Data.Array.Attach
import Init.Data.List.Monadic
/-!
# Lemmas about `Array.forIn'` and `Array.forIn`.
@@ -38,19 +36,19 @@ theorem map_toList_inj [Monad m] [LawfulMonad m]
xs.mapM (m := m) (pure <| f ·) = pure (xs.map f) := by
induction xs; simp_all
@[simp, grind =] theorem idRun_mapM {xs : Array α} {f : α Id β} : (xs.mapM f).run = xs.map (f · |>.run) :=
@[simp] theorem idRun_mapM {xs : Array α} {f : α Id β} : (xs.mapM f).run = xs.map (f · |>.run) :=
mapM_pure
@[deprecated idRun_mapM (since := "2025-05-21")]
theorem mapM_id {xs : Array α} {f : α Id β} : xs.mapM f = xs.map f :=
mapM_pure
@[simp, grind =] theorem mapM_map [Monad m] [LawfulMonad m] {f : α β} {g : β m γ} {xs : Array α} :
@[simp] theorem mapM_map [Monad m] [LawfulMonad m] {f : α β} {g : β m γ} {xs : Array α} :
(xs.map f).mapM g = xs.mapM (g f) := by
rcases xs with xs
simp
@[simp, grind =] theorem mapM_append [Monad m] [LawfulMonad m] {f : α m β} {xs ys : Array α} :
@[simp] theorem mapM_append [Monad m] [LawfulMonad m] {f : α m β} {xs ys : Array α} :
(xs ++ ys).mapM f = (return ( xs.mapM f) ++ ( ys.mapM f)) := by
rcases xs with xs
rcases ys with ys
@@ -61,7 +59,7 @@ theorem mapM_eq_foldlM_push [Monad m] [LawfulMonad m] {f : α → m β} {xs : Ar
rcases xs with xs
simp only [List.mapM_toArray, bind_pure_comp, List.size_toArray, List.foldlM_toArray']
rw [List.mapM_eq_reverse_foldlM_cons]
simp only [Functor.map_map]
simp only [bind_pure_comp, Functor.map_map]
suffices (l), (fun l' => l'.reverse.toArray) <$> List.foldlM (fun acc a => (fun a => a :: acc) <$> f a) l xs =
List.foldlM (fun acc a => acc.push <$> f a) l.reverse.toArray xs by
exact this []
@@ -145,13 +143,13 @@ theorem foldrM_filter [Monad m] [LawfulMonad m] {p : α → Bool} {g : α → β
cases as <;> cases bs
simp_all
@[simp, grind =] theorem forM_append [Monad m] [LawfulMonad m] {xs ys : Array α} {f : α m PUnit} :
@[simp] theorem forM_append [Monad m] [LawfulMonad m] {xs ys : Array α} {f : α m PUnit} :
forM (xs ++ ys) f = (do forM xs f; forM ys f) := by
rcases xs with xs
rcases ys with ys
simp
@[simp, grind =] theorem forM_map [Monad m] [LawfulMonad m] {xs : Array α} {g : α β} {f : β m PUnit} :
@[simp] theorem forM_map [Monad m] [LawfulMonad m] {xs : Array α} {g : α β} {f : β m PUnit} :
forM (xs.map g) f = forM xs (fun a => f (g a)) := by
rcases xs with xs
simp
@@ -210,7 +208,7 @@ theorem forIn'_yield_eq_foldl
xs.attach.foldl (fun b a, h => f a h b) init :=
forIn'_pure_yield_eq_foldl _ _
@[simp, grind =] theorem forIn'_map [Monad m] [LawfulMonad m]
@[simp] theorem forIn'_map [Monad m] [LawfulMonad m]
{xs : Array α} (g : α β) (f : (b : β) b xs.map g γ m (ForInStep γ)) :
forIn' (xs.map g) init f = forIn' xs init fun a h y => f (g a) (mem_map_of_mem h) y := by
rcases xs with xs
@@ -236,14 +234,14 @@ theorem forIn_eq_foldlM [Monad m] [LawfulMonad m]
forIn xs init (fun a b => (fun c => .yield (g a b c)) <$> f a b) =
xs.foldlM (fun b a => g a b <$> f a b) init := by
rcases xs with xs
simp
simp [List.foldlM_map]
@[simp] theorem forIn_pure_yield_eq_foldl [Monad m] [LawfulMonad m]
{xs : Array α} (f : α β β) (init : β) :
forIn xs init (fun a b => pure (.yield (f a b))) =
pure (f := m) (xs.foldl (fun b a => f a b) init) := by
rcases xs with xs
simp [List.forIn_pure_yield_eq_foldl]
simp [List.forIn_pure_yield_eq_foldl, List.foldl_map]
theorem idRun_forIn_yield_eq_foldl
{xs : Array α} (f : α β Id β) (init : β) :
@@ -258,7 +256,7 @@ theorem forIn_yield_eq_foldl
xs.foldl (fun b a => f a b) init :=
forIn_pure_yield_eq_foldl _ _
@[simp, grind =] theorem forIn_map [Monad m] [LawfulMonad m]
@[simp] theorem forIn_map [Monad m] [LawfulMonad m]
{xs : Array α} {g : α β} {f : β γ m (ForInStep γ)} :
forIn (xs.map g) init f = forIn xs init fun a y => f (g a) y := by
rcases xs with xs
@@ -312,7 +310,7 @@ namespace List
@[simp] theorem filterM_toArray' [Monad m] [LawfulMonad m] {l : List α} {p : α m Bool} (w : stop = l.length) :
l.toArray.filterM p 0 stop = toArray <$> l.filterM p := by
subst w
simp [ filterM_toArray]
rw [filterM_toArray]
@[grind =] theorem filterRevM_toArray [Monad m] [LawfulMonad m] {l : List α} {p : α m Bool} :
l.toArray.filterRevM p = toArray <$> l.filterRevM p := by
@@ -324,7 +322,7 @@ namespace List
@[simp] theorem filterRevM_toArray' [Monad m] [LawfulMonad m] {l : List α} {p : α m Bool} (w : start = l.length) :
l.toArray.filterRevM p start 0 = toArray <$> l.filterRevM p := by
subst w
simp [ filterRevM_toArray]
rw [filterRevM_toArray]
@[grind =] theorem filterMapM_toArray [Monad m] [LawfulMonad m] {l : List α} {f : α m (Option β)} :
l.toArray.filterMapM f = toArray <$> l.filterMapM f := by
@@ -342,7 +340,7 @@ namespace List
@[simp] theorem filterMapM_toArray' [Monad m] [LawfulMonad m] {l : List α} {f : α m (Option β)} (w : stop = l.length) :
l.toArray.filterMapM f 0 stop = toArray <$> l.filterMapM f := by
subst w
simp [ filterMapM_toArray]
rw [filterMapM_toArray]
@[simp, grind =] theorem flatMapM_toArray [Monad m] [LawfulMonad m] {l : List α} {f : α m (Array β)} :
l.toArray.flatMapM f = toArray <$> l.flatMapM (fun a => Array.toList <$> f a) := by

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@@ -6,13 +6,11 @@ Authors: Kim Morrison
module
prelude
public import all Init.Data.Array.Basic
public import Init.Data.Array.Lemmas
public import Init.Data.Array.Monadic
public import Init.Data.List.OfFn
public import Init.Data.List.FinRange
public section
import all Init.Data.Array.Basic
import Init.Data.Array.Lemmas
import Init.Data.Array.Monadic
import Init.Data.List.OfFn
import Init.Data.List.FinRange
/-!
# Theorems about `Array.ofFn`
@@ -25,7 +23,7 @@ namespace Array
/-! ### ofFn -/
@[simp, grind =] theorem ofFn_zero {f : Fin 0 α} : ofFn f = #[] := by
@[simp] theorem ofFn_zero {f : Fin 0 α} : ofFn f = #[] := by
simp [ofFn, ofFn.go]
theorem ofFn_succ {f : Fin (n+1) α} :
@@ -44,10 +42,10 @@ theorem ofFn_add {n m} {f : Fin (n + m) → α} :
| zero => simp
| succ m ih => simp [ofFn_succ, ih]
@[simp, grind =] theorem _root_.List.toArray_ofFn {f : Fin n α} : (List.ofFn f).toArray = Array.ofFn f := by
@[simp] theorem _root_.List.toArray_ofFn {f : Fin n α} : (List.ofFn f).toArray = Array.ofFn f := by
ext <;> simp
@[simp, grind =] theorem toList_ofFn {f : Fin n α} : (Array.ofFn f).toList = List.ofFn f := by
@[simp] theorem toList_ofFn {f : Fin n α} : (Array.ofFn f).toList = List.ofFn f := by
apply List.ext_getElem <;> simp
theorem ofFn_succ' {f : Fin (n+1) α} :
@@ -60,7 +58,7 @@ theorem ofFn_eq_empty_iff {f : Fin n → α} : ofFn f = #[] ↔ n = 0 := by
rw [ Array.toList_inj]
simp
@[simp 500, grind =]
@[simp 500]
theorem mem_ofFn {n} {f : Fin n α} {a : α} : a ofFn f i, f i = a := by
constructor
· intro w
@@ -75,7 +73,7 @@ theorem mem_ofFn {n} {f : Fin n → α} {a : α} : a ∈ ofFn f ↔ ∃ i, f i =
def ofFnM {n} [Monad m] (f : Fin n m α) : m (Array α) :=
Fin.foldlM n (fun xs i => xs.push <$> f i) (Array.emptyWithCapacity n)
@[simp, grind =]
@[simp]
theorem ofFnM_zero [Monad m] {f : Fin 0 m α} : ofFnM f = pure #[] := by
simp [ofFnM]
@@ -111,7 +109,7 @@ theorem ofFnM_add {n m} [Monad m] [LawfulMonad m] {f : Fin (n + k) → m α} :
funext x
simp
@[simp, grind =] theorem toList_ofFnM [Monad m] [LawfulMonad m] {f : Fin n m α} :
@[simp] theorem toList_ofFnM [Monad m] [LawfulMonad m] {f : Fin n m α} :
toList <$> ofFnM f = List.ofFnM f := by
induction n with
| zero => simp

View File

@@ -6,11 +6,9 @@ Authors: Kim Morrison
module
prelude
public import Init.Data.List.Nat.Perm
public import all Init.Data.Array.Basic
public import Init.Data.Array.Lemmas
public section
import Init.Data.List.Nat.Perm
import all Init.Data.Array.Basic
import Init.Data.Array.Lemmas
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
set_option linter.indexVariables true -- Enforce naming conventions for index variables.
@@ -93,26 +91,17 @@ theorem Perm.mem_iff {a : α} {xs ys : Array α} (p : xs ~ ys) : a ∈ xs ↔ a
simp only [perm_iff_toList_perm] at p
simpa using p.mem_iff
grind_pattern Perm.mem_iff => xs ~ ys, a xs
grind_pattern Perm.mem_iff => xs ~ ys, a ys
theorem Perm.append {xs ys as bs : Array α} (p₁ : xs ~ ys) (p₂ : as ~ bs) :
xs ++ as ~ ys ++ bs := by
cases xs; cases ys; cases as; cases bs
simp only [append_toArray, perm_iff_toList_perm] at p₁ p₂
exact p₁.append p₂
grind_pattern Perm.append => xs ~ ys, as ~ bs, xs ++ as
grind_pattern Perm.append => xs ~ ys, as ~ bs, ys ++ bs
theorem Perm.push (x : α) {xs ys : Array α} (p : xs ~ ys) :
xs.push x ~ ys.push x := by
rw [push_eq_append_singleton]
exact p.append .rfl
grind_pattern Perm.push => xs ~ ys, xs.push x
grind_pattern Perm.push => xs ~ ys, ys.push x
theorem Perm.push_comm (x y : α) {xs ys : Array α} (p : xs ~ ys) :
(xs.push x).push y ~ (ys.push y).push x := by
cases xs; cases ys

View File

@@ -6,6 +6,4 @@ Authors: Kim Morrison
module
prelude
public import Init.Data.Array.QSort.Basic
public section
import Init.Data.Array.QSort.Basic

View File

@@ -6,10 +6,8 @@ Authors: Leonardo de Moura
module
prelude
public import Init.Data.Vector.Basic
public import Init.Data.Ord
public section
import Init.Data.Vector.Basic
import Init.Data.Ord
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
-- We do not enable `linter.indexVariables` because it is helpful to name index variables `lo`, `mid`, `hi`, etc.
@@ -57,7 +55,7 @@ def qpartition {n} (as : Vector α n) (lt : αα → Bool) (lo hi : Nat) (w
/--
In-place quicksort.
`qsort as lt lo hi` sorts the subarray `as[lo...=hi]` in-place using `lt` to compare elements.
`qsort as lt lo hi` sorts the subarray `as[lo:hi+1]` in-place using `lt` to compare elements.
-/
@[inline] def qsort (as : Array α) (lt : α α Bool := by exact (· < ·))
(lo := 0) (hi := as.size - 1) : Array α :=
@@ -67,7 +65,7 @@ In-place quicksort.
let mid, hmid, as := qpartition as lt lo hi
if h₂ : mid hi then
-- This only occurs when `hi ≤ lo`,
-- and thus `as[lo...(hi+1)]` is trivially already sorted.
-- and thus `as[lo:hi+1]` is trivially already sorted.
as
else
-- Otherwise, we recursively sort the two subarrays.

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