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https://github.com/leanprover/lean4.git
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Compare commits
6 Commits
missing_an
...
v4.28.1
| Author | SHA1 | Date | |
|---|---|---|---|
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978f81d363 | ||
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76dea4d656 | ||
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1df9f3b862 | ||
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7e01a1bf5c | ||
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e18f78acfb | ||
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3b0f286219 |
@@ -46,21 +46,6 @@ This PR adds a `num?` parameter to `mkPatternFromTheorem` to control how many
|
||||
leading quantifiers are stripped when creating a pattern.
|
||||
```
|
||||
|
||||
**Changelog labels:** Add one `changelog-*` label to categorize the PR for release notes:
|
||||
- `changelog-language` - Language features and metaprograms
|
||||
- `changelog-tactics` - User facing tactics
|
||||
- `changelog-server` - Language server, widgets, and IDE extensions
|
||||
- `changelog-pp` - Pretty printing
|
||||
- `changelog-library` - Library
|
||||
- `changelog-compiler` - Compiler, runtime, and FFI
|
||||
- `changelog-lake` - Lake
|
||||
- `changelog-doc` - Documentation
|
||||
- `changelog-ffi` - FFI changes
|
||||
- `changelog-other` - Other changes
|
||||
- `changelog-no` - Do not include this PR in the release changelog
|
||||
|
||||
If you're unsure which label applies, it's fine to omit the label and let reviewers add it.
|
||||
|
||||
## CI Log Retrieval
|
||||
|
||||
When CI jobs fail, investigate immediately - don't wait for other jobs to complete. Individual job logs are often available even while other jobs are still running. Try `gh run view <run-id> --log` or `gh run view <run-id> --log-failed`, or use `gh run view <run-id> --job=<job-id>` to target the specific failed job. Sleeping is fine when asked to monitor CI and no failures exist yet, but once any job fails, investigate that failure immediately.
|
||||
|
||||
10
.github/workflows/build-template.yml
vendored
10
.github/workflows/build-template.yml
vendored
@@ -66,16 +66,10 @@ jobs:
|
||||
brew install ccache tree zstd coreutils gmp libuv
|
||||
if: runner.os == 'macOS'
|
||||
- name: Checkout
|
||||
if: (!endsWith(matrix.os, '-with-cache'))
|
||||
uses: actions/checkout@v6
|
||||
with:
|
||||
# the default is to use a virtual merge commit between the PR and master: just use the PR
|
||||
ref: ${{ github.event.pull_request.head.sha }}
|
||||
- name: Namespace Checkout
|
||||
if: endsWith(matrix.os, '-with-cache')
|
||||
uses: namespacelabs/nscloud-checkout-action@v8
|
||||
with:
|
||||
ref: ${{ github.event.pull_request.head.sha }}
|
||||
- name: Open Nix shell once
|
||||
run: true
|
||||
if: runner.os == 'Linux'
|
||||
@@ -102,7 +96,7 @@ jobs:
|
||||
if: matrix.cmultilib
|
||||
- name: Restore Cache
|
||||
id: restore-cache
|
||||
uses: actions/cache/restore@v5
|
||||
uses: actions/cache/restore@v4
|
||||
with:
|
||||
# NOTE: must be in sync with `save` below and with `restore-cache` in `update-stage0.yml`
|
||||
path: |
|
||||
@@ -175,7 +169,7 @@ jobs:
|
||||
# Caching on cancellation created some mysterious issues perhaps related to improper build
|
||||
# shutdown
|
||||
if: steps.restore-cache.outputs.cache-hit != 'true' && !cancelled()
|
||||
uses: actions/cache/save@v5
|
||||
uses: actions/cache/save@v4
|
||||
with:
|
||||
# NOTE: must be in sync with `restore` above
|
||||
path: |
|
||||
|
||||
4
.github/workflows/ci.yml
vendored
4
.github/workflows/ci.yml
vendored
@@ -433,7 +433,7 @@ jobs:
|
||||
runs-on: ubuntu-latest
|
||||
needs: build
|
||||
steps:
|
||||
- uses: actions/download-artifact@v7
|
||||
- uses: actions/download-artifact@v6
|
||||
with:
|
||||
path: artifacts
|
||||
- name: Release
|
||||
@@ -465,7 +465,7 @@ jobs:
|
||||
# Doesn't seem to be working when additionally fetching from lean4-nightly
|
||||
#filter: tree:0
|
||||
token: ${{ secrets.PUSH_NIGHTLY_TOKEN }}
|
||||
- uses: actions/download-artifact@v7
|
||||
- uses: actions/download-artifact@v6
|
||||
with:
|
||||
path: artifacts
|
||||
- name: Prepare Nightly Release
|
||||
|
||||
108
.github/workflows/pr-release.yml
vendored
108
.github/workflows/pr-release.yml
vendored
@@ -20,9 +20,7 @@ on:
|
||||
jobs:
|
||||
on-success:
|
||||
runs-on: ubuntu-latest
|
||||
# Run even if CI fails, as long as build artifacts are available
|
||||
# The "Verify release artifacts exist" step will fail if necessary artifacts are missing
|
||||
if: github.event.workflow_run.event == 'pull_request' && github.repository == 'leanprover/lean4'
|
||||
if: github.event.workflow_run.conclusion == 'success' && github.event.workflow_run.event == 'pull_request' && 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
|
||||
@@ -43,19 +41,6 @@ jobs:
|
||||
name: build-.*
|
||||
name_is_regexp: true
|
||||
|
||||
# Verify artifacts were downloaded before any side effects (tag creation, release deletion).
|
||||
- name: Verify release artifacts exist
|
||||
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
|
||||
run: |
|
||||
shopt -s nullglob
|
||||
files=(artifacts/*/*)
|
||||
if [ ${#files[@]} -eq 0 ]; then
|
||||
echo "::error::No artifacts found matching artifacts/*/*"
|
||||
exit 1
|
||||
fi
|
||||
echo "Found ${#files[@]} artifacts to upload:"
|
||||
printf '%s\n' "${files[@]}"
|
||||
|
||||
- name: Push tag
|
||||
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
|
||||
run: |
|
||||
@@ -77,44 +62,42 @@ jobs:
|
||||
git -C lean4.git remote add pr-releases https://foo:'${{ 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 releases if present
|
||||
- name: Delete existing release if present
|
||||
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
|
||||
run: |
|
||||
# Delete any existing releases for this PR.
|
||||
# The short format release is always recreated with the latest commit.
|
||||
# The SHA-suffixed release should be unique per commit, but delete just in case.
|
||||
# Try to delete any existing release for the current PR (just the version without the SHA suffix).
|
||||
gh release delete --repo ${{ github.repository_owner }}/lean4-pr-releases pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }} -y || true
|
||||
gh release delete --repo ${{ github.repository_owner }}/lean4-pr-releases pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}-${{ env.SHORT_SHA }} -y || true
|
||||
env:
|
||||
GH_TOKEN: ${{ secrets.PR_RELEASES_TOKEN }}
|
||||
# We use `gh release create` instead of `softprops/action-gh-release` because
|
||||
# the latter enumerates all releases to check for existing ones, which fails
|
||||
# when the repository has more than 10000 releases (GitHub API pagination limit).
|
||||
# Upstream fix: https://github.com/softprops/action-gh-release/pull/725
|
||||
- name: Release (short format)
|
||||
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
|
||||
run: |
|
||||
# There are coredump files in deeper subdirectories; artifacts/*/* gets the release archives.
|
||||
gh release create \
|
||||
--repo ${{ github.repository_owner }}/lean4-pr-releases \
|
||||
--title "Release for PR ${{ steps.workflow-info.outputs.pullRequestNumber }}" \
|
||||
--notes "" \
|
||||
pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }} \
|
||||
artifacts/*/*
|
||||
uses: softprops/action-gh-release@a06a81a03ee405af7f2048a818ed3f03bbf83c7b
|
||||
with:
|
||||
name: Release for PR ${{ steps.workflow-info.outputs.pullRequestNumber }}
|
||||
# There are coredumps files here as well, but all in deeper subdirectories.
|
||||
files: artifacts/*/*
|
||||
fail_on_unmatched_files: true
|
||||
draft: false
|
||||
tag_name: pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}
|
||||
repository: ${{ github.repository_owner }}/lean4-pr-releases
|
||||
env:
|
||||
GH_TOKEN: ${{ secrets.PR_RELEASES_TOKEN }}
|
||||
# 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 != '' }}
|
||||
run: |
|
||||
gh release create \
|
||||
--repo ${{ github.repository_owner }}/lean4-pr-releases \
|
||||
--title "Release for PR ${{ steps.workflow-info.outputs.pullRequestNumber }} (${{ steps.workflow-info.outputs.sourceHeadSha }})" \
|
||||
--notes "" \
|
||||
pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}-${{ env.SHORT_SHA }} \
|
||||
artifacts/*/*
|
||||
uses: softprops/action-gh-release@a06a81a03ee405af7f2048a818ed3f03bbf83c7b
|
||||
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:
|
||||
GH_TOKEN: ${{ secrets.PR_RELEASES_TOKEN }}
|
||||
# The token used here must have `workflow` privileges.
|
||||
GITHUB_TOKEN: ${{ secrets.PR_RELEASES_TOKEN }}
|
||||
|
||||
- name: Report release status (short format)
|
||||
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
|
||||
@@ -170,18 +153,6 @@ jobs:
|
||||
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
|
||||
uses: dcarbone/install-jq-action@v3.2.0
|
||||
|
||||
# Generate a token for posting comments to Lean PRs about mathlib compatibility.
|
||||
# This app is in the leanprover org and installed on leanprover/lean4.
|
||||
- name: Generate GitHub App token for Lean PR comments
|
||||
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
|
||||
id: mathlib-comment-token
|
||||
uses: actions/create-github-app-token@3ff1caaa28b64c9cc276ce0a02e2ff584f3900c5 # v2.0.2
|
||||
with:
|
||||
app-id: ${{ secrets.MATHLIB_LEAN_PR_TESTING_APP_ID }}
|
||||
private-key: ${{ secrets.MATHLIB_LEAN_PR_TESTING_PRIVATE_KEY }}
|
||||
owner: leanprover
|
||||
repositories: lean4
|
||||
|
||||
# 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
|
||||
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
|
||||
@@ -216,9 +187,8 @@ jobs:
|
||||
|
||||
if [[ -n "$MESSAGE" ]]; then
|
||||
# Check if force-mathlib-ci label is present
|
||||
# Use GITHUB_TOKEN for read-only label fetch (MATHLIB4_COMMENT_BOT is only for posting comments)
|
||||
LABELS="$(curl --retry 3 --location --silent \
|
||||
-H "Authorization: token ${{ secrets.GITHUB_TOKEN }}" \
|
||||
-H "Authorization: token ${{ secrets.MATHLIB4_COMMENT_BOT }}" \
|
||||
-H "Accept: application/vnd.github.v3+json" \
|
||||
"https://api.github.com/repos/leanprover/lean4/issues/${{ steps.workflow-info.outputs.pullRequestNumber }}/labels" \
|
||||
| jq -r '.[].name')"
|
||||
@@ -239,10 +209,10 @@ jobs:
|
||||
|
||||
# Use GitHub API to check if a comment already exists
|
||||
existing_comment="$(curl --retry 3 --location --silent \
|
||||
-H "Authorization: token ${{ steps.mathlib-comment-token.outputs.token }}" \
|
||||
-H "Authorization: token ${{ secrets.MATHLIB4_COMMENT_BOT }}" \
|
||||
-H "Accept: application/vnd.github.v3+json" \
|
||||
"https://api.github.com/repos/leanprover/lean4/issues/${{ steps.workflow-info.outputs.pullRequestNumber }}/comments" \
|
||||
| jq 'first(.[] | select(.body | test("^- . Mathlib") or startswith("Mathlib CI status")) | select(.user.login == "mathlib-lean-pr-testing[bot]"))')"
|
||||
| jq 'first(.[] | select(.body | test("^- . Mathlib") or startswith("Mathlib CI status")) | select(.user.login == "leanprover-community-bot"))')"
|
||||
existing_comment_id="$(echo "$existing_comment" | jq -r .id)"
|
||||
existing_comment_body="$(echo "$existing_comment" | jq -r .body)"
|
||||
|
||||
@@ -252,14 +222,14 @@ jobs:
|
||||
echo "Posting message to the comments: $MESSAGE"
|
||||
|
||||
# Append new result to the existing comment or post a new comment
|
||||
# Use the mathlib-lean-pr-testing app token so Mathlib CI can subsequently edit the comment.
|
||||
# It's essential we use the MATHLIB4_COMMENT_BOT token here, so that Mathlib CI can subsequently edit the comment.
|
||||
if [ -z "$existing_comment_id" ]; then
|
||||
INTRO="Mathlib CI status ([docs](https://leanprover-community.github.io/contribute/tags_and_branches.html)):"
|
||||
# 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 ${{ steps.mathlib-comment-token.outputs.token }}" \
|
||||
-H "Authorization: token ${{ secrets.MATHLIB4_COMMENT_BOT }}" \
|
||||
-H "Accept: application/vnd.github.v3+json" \
|
||||
-d "$(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"
|
||||
@@ -268,7 +238,7 @@ jobs:
|
||||
echo "Appending to existing comment at leanprover/lean4/issues/${{ steps.workflow-info.outputs.pullRequestNumber }}/comments"
|
||||
curl -L -s \
|
||||
-X PATCH \
|
||||
-H "Authorization: token ${{ steps.mathlib-comment-token.outputs.token }}" \
|
||||
-H "Authorization: token ${{ secrets.MATHLIB4_COMMENT_BOT }}" \
|
||||
-H "Accept: application/vnd.github.v3+json" \
|
||||
-d "$(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"
|
||||
@@ -409,18 +379,6 @@ jobs:
|
||||
# We next automatically create a Batteries branch using this toolchain.
|
||||
# Batteries doesn't itself have a mechanism to report results of CI from this branch back to Lean
|
||||
# Instead this is taken care of by Mathlib CI, which will fail if Batteries fails.
|
||||
|
||||
# Generate a token from the mathlib-nightly-testing GitHub App for cross-org access
|
||||
- name: Generate GitHub App token for leanprover-community repos
|
||||
if: steps.workflow-info.outputs.pullRequestNumber != '' && steps.ready.outputs.mathlib_ready == 'true'
|
||||
id: mathlib-app-token
|
||||
uses: actions/create-github-app-token@3ff1caaa28b64c9cc276ce0a02e2ff584f3900c5 # v2.0.2
|
||||
with:
|
||||
app-id: ${{ secrets.MATHLIB_NIGHTLY_TESTING_APP_ID }}
|
||||
private-key: ${{ secrets.MATHLIB_NIGHTLY_TESTING_PRIVATE_KEY }}
|
||||
owner: leanprover-community
|
||||
repositories: batteries,mathlib4-nightly-testing
|
||||
|
||||
- name: Cleanup workspace
|
||||
if: steps.workflow-info.outputs.pullRequestNumber != '' && steps.ready.outputs.mathlib_ready == 'true'
|
||||
run: |
|
||||
@@ -432,7 +390,7 @@ jobs:
|
||||
uses: actions/checkout@v6
|
||||
with:
|
||||
repository: leanprover-community/batteries
|
||||
token: ${{ steps.mathlib-app-token.outputs.token }}
|
||||
token: ${{ secrets.MATHLIB4_BOT }}
|
||||
ref: nightly-testing
|
||||
fetch-depth: 0 # This ensures we check out all tags and branches.
|
||||
filter: tree:0
|
||||
@@ -492,7 +450,7 @@ jobs:
|
||||
uses: actions/checkout@v6
|
||||
with:
|
||||
repository: leanprover-community/mathlib4-nightly-testing
|
||||
token: ${{ steps.mathlib-app-token.outputs.token }}
|
||||
token: ${{ secrets.MATHLIB4_BOT }}
|
||||
ref: nightly-testing
|
||||
fetch-depth: 0 # This ensures we check out all tags and branches.
|
||||
filter: tree:0
|
||||
|
||||
2
.github/workflows/update-stage0.yml
vendored
2
.github/workflows/update-stage0.yml
vendored
@@ -58,7 +58,7 @@ jobs:
|
||||
shell: 'nix develop -c bash -euxo pipefail {0}'
|
||||
- name: Restore Cache
|
||||
if: env.should_update_stage0 == 'yes'
|
||||
uses: actions/cache/restore@v5
|
||||
uses: actions/cache/restore@v4
|
||||
with:
|
||||
# NOTE: must be in sync with `restore-cache` in `build-template.yml`
|
||||
path: |
|
||||
|
||||
104
CMakeLists.txt
104
CMakeLists.txt
@@ -10,22 +10,22 @@ option(USE_MIMALLOC "use mimalloc" ON)
|
||||
get_cmake_property(vars CACHE_VARIABLES)
|
||||
foreach(var ${vars})
|
||||
get_property(currentHelpString CACHE "${var}" PROPERTY HELPSTRING)
|
||||
if(var MATCHES "STAGE0_(.*)")
|
||||
if("${var}" MATCHES "STAGE0_(.*)")
|
||||
list(APPEND STAGE0_ARGS "-D${CMAKE_MATCH_1}=${${var}}")
|
||||
elseif(var MATCHES "STAGE1_(.*)")
|
||||
elseif("${var}" MATCHES "STAGE1_(.*)")
|
||||
list(APPEND STAGE1_ARGS "-D${CMAKE_MATCH_1}=${${var}}")
|
||||
elseif(currentHelpString MATCHES "No help, variable specified on the command line." OR currentHelpString STREQUAL "")
|
||||
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|LEAN_VERSION_.*|LEAN_SPECIAL_VERSION_DESC")
|
||||
# must forward options that generate incompatible .olean format
|
||||
list(APPEND STAGE0_ARGS "-D${var}=${${var}}")
|
||||
elseif(var MATCHES "LLVM*|PKG_CONFIG|USE_LAKE|USE_MIMALLOC")
|
||||
elseif("${var}" MATCHES "LLVM*|PKG_CONFIG|USE_LAKE|USE_MIMALLOC")
|
||||
list(APPEND STAGE0_ARGS "-D${var}=${${var}}")
|
||||
endif()
|
||||
elseif(var MATCHES "USE_MIMALLOC")
|
||||
elseif("${var}" MATCHES "USE_MIMALLOC")
|
||||
list(APPEND CL_ARGS "-D${var}=${${var}}")
|
||||
list(APPEND STAGE0_ARGS "-D${var}=${${var}}")
|
||||
elseif((var MATCHES "CMAKE_.*") AND NOT (var MATCHES "CMAKE_BUILD_TYPE") AND NOT (var MATCHES "CMAKE_HOME_DIRECTORY"))
|
||||
elseif(("${var}" MATCHES "CMAKE_.*") AND NOT ("${var}" MATCHES "CMAKE_BUILD_TYPE") AND NOT ("${var}" MATCHES "CMAKE_HOME_DIRECTORY"))
|
||||
list(APPEND PLATFORM_ARGS "-D${var}=${${var}}")
|
||||
endif()
|
||||
endforeach()
|
||||
@@ -34,15 +34,15 @@ include(ExternalProject)
|
||||
project(LEAN CXX C)
|
||||
|
||||
if(NOT (DEFINED STAGE0_CMAKE_EXECUTABLE_SUFFIX))
|
||||
set(STAGE0_CMAKE_EXECUTABLE_SUFFIX "${CMAKE_EXECUTABLE_SUFFIX}")
|
||||
set(STAGE0_CMAKE_EXECUTABLE_SUFFIX "${CMAKE_EXECUTABLE_SUFFIX}")
|
||||
endif()
|
||||
|
||||
# Don't do anything with cadical on wasm
|
||||
if(NOT CMAKE_SYSTEM_NAME MATCHES "Emscripten")
|
||||
if (NOT ${CMAKE_SYSTEM_NAME} MATCHES "Emscripten")
|
||||
find_program(CADICAL cadical)
|
||||
if(NOT CADICAL)
|
||||
set(CADICAL_CXX c++)
|
||||
if(CADICAL_USE_CUSTOM_CXX)
|
||||
if (CADICAL_USE_CUSTOM_CXX)
|
||||
set(CADICAL_CXX ${CMAKE_CXX_COMPILER})
|
||||
# Use same platform flags as for Lean executables, in particular from `prepare-llvm-linux.sh`,
|
||||
# but not Lean-specific `LEAN_EXTRA_CXX_FLAGS` such as fsanitize.
|
||||
@@ -54,51 +54,42 @@ if(NOT CMAKE_SYSTEM_NAME MATCHES "Emscripten")
|
||||
set(CADICAL_CXX "${CCACHE} ${CADICAL_CXX}")
|
||||
endif()
|
||||
# missing stdio locking API on Windows
|
||||
if(CMAKE_SYSTEM_NAME MATCHES "Windows")
|
||||
if(${CMAKE_SYSTEM_NAME} MATCHES "Windows")
|
||||
string(APPEND CADICAL_CXXFLAGS " -DNUNLOCKED")
|
||||
endif()
|
||||
string(APPEND CADICAL_CXXFLAGS " -DNCLOSEFROM")
|
||||
ExternalProject_Add(
|
||||
cadical
|
||||
ExternalProject_add(cadical
|
||||
PREFIX cadical
|
||||
GIT_REPOSITORY https://github.com/arminbiere/cadical
|
||||
GIT_TAG rel-2.1.2
|
||||
CONFIGURE_COMMAND ""
|
||||
BUILD_COMMAND
|
||||
$(MAKE) -f ${CMAKE_SOURCE_DIR}/src/cadical.mk CMAKE_EXECUTABLE_SUFFIX=${CMAKE_EXECUTABLE_SUFFIX}
|
||||
CXX=${CADICAL_CXX} CXXFLAGS=${CADICAL_CXXFLAGS} LDFLAGS=${CADICAL_LDFLAGS}
|
||||
BUILD_COMMAND $(MAKE) -f ${CMAKE_SOURCE_DIR}/src/cadical.mk
|
||||
CMAKE_EXECUTABLE_SUFFIX=${CMAKE_EXECUTABLE_SUFFIX}
|
||||
CXX=${CADICAL_CXX}
|
||||
CXXFLAGS=${CADICAL_CXXFLAGS}
|
||||
LDFLAGS=${CADICAL_LDFLAGS}
|
||||
BUILD_IN_SOURCE ON
|
||||
INSTALL_COMMAND ""
|
||||
)
|
||||
set(
|
||||
CADICAL
|
||||
${CMAKE_BINARY_DIR}/cadical/cadical${CMAKE_EXECUTABLE_SUFFIX}
|
||||
CACHE FILEPATH
|
||||
"path to cadical binary"
|
||||
FORCE
|
||||
)
|
||||
INSTALL_COMMAND "")
|
||||
set(CADICAL ${CMAKE_BINARY_DIR}/cadical/cadical${CMAKE_EXECUTABLE_SUFFIX} CACHE FILEPATH "path to cadical binary" FORCE)
|
||||
list(APPEND EXTRA_DEPENDS cadical)
|
||||
endif()
|
||||
list(APPEND CL_ARGS -DCADICAL=${CADICAL})
|
||||
endif()
|
||||
|
||||
if(USE_MIMALLOC)
|
||||
ExternalProject_Add(
|
||||
mimalloc
|
||||
if (USE_MIMALLOC)
|
||||
ExternalProject_add(mimalloc
|
||||
PREFIX mimalloc
|
||||
GIT_REPOSITORY https://github.com/microsoft/mimalloc
|
||||
GIT_TAG v2.2.3
|
||||
# just download, we compile it as part of each stage as it is small
|
||||
CONFIGURE_COMMAND ""
|
||||
BUILD_COMMAND ""
|
||||
INSTALL_COMMAND ""
|
||||
)
|
||||
INSTALL_COMMAND "")
|
||||
list(APPEND EXTRA_DEPENDS mimalloc)
|
||||
endif()
|
||||
|
||||
if(NOT STAGE1_PREV_STAGE)
|
||||
ExternalProject_Add(
|
||||
stage0
|
||||
if (NOT STAGE1_PREV_STAGE)
|
||||
ExternalProject_add(stage0
|
||||
SOURCE_DIR "${LEAN_SOURCE_DIR}/stage0"
|
||||
SOURCE_SUBDIR src
|
||||
BINARY_DIR stage0
|
||||
@@ -106,49 +97,38 @@ if(NOT STAGE1_PREV_STAGE)
|
||||
# (however, CI will override this as we need to embed the githash into the stage 1 library built
|
||||
# by stage 0)
|
||||
CMAKE_ARGS -DSTAGE=0 -DUSE_GITHASH=OFF ${PLATFORM_ARGS} ${STAGE0_ARGS}
|
||||
BUILD_ALWAYS
|
||||
ON # cmake doesn't auto-detect changes without a download method
|
||||
INSTALL_COMMAND
|
||||
"" # skip install
|
||||
BUILD_ALWAYS ON # cmake doesn't auto-detect changes without a download method
|
||||
INSTALL_COMMAND "" # skip install
|
||||
DEPENDS ${EXTRA_DEPENDS}
|
||||
)
|
||||
list(APPEND EXTRA_DEPENDS stage0)
|
||||
endif()
|
||||
ExternalProject_Add(
|
||||
stage1
|
||||
ExternalProject_add(stage1
|
||||
SOURCE_DIR "${LEAN_SOURCE_DIR}"
|
||||
SOURCE_SUBDIR src
|
||||
BINARY_DIR stage1
|
||||
CMAKE_ARGS
|
||||
-DSTAGE=1 -DPREV_STAGE=${CMAKE_BINARY_DIR}/stage0
|
||||
-DPREV_STAGE_CMAKE_EXECUTABLE_SUFFIX=${STAGE0_CMAKE_EXECUTABLE_SUFFIX} ${CL_ARGS} ${STAGE1_ARGS}
|
||||
CMAKE_ARGS -DSTAGE=1 -DPREV_STAGE=${CMAKE_BINARY_DIR}/stage0 -DPREV_STAGE_CMAKE_EXECUTABLE_SUFFIX=${STAGE0_CMAKE_EXECUTABLE_SUFFIX} ${CL_ARGS} ${STAGE1_ARGS}
|
||||
BUILD_ALWAYS ON
|
||||
INSTALL_COMMAND ""
|
||||
DEPENDS ${EXTRA_DEPENDS}
|
||||
STEP_TARGETS configure
|
||||
)
|
||||
ExternalProject_Add(
|
||||
stage2
|
||||
ExternalProject_add(stage2
|
||||
SOURCE_DIR "${LEAN_SOURCE_DIR}"
|
||||
SOURCE_SUBDIR src
|
||||
BINARY_DIR stage2
|
||||
CMAKE_ARGS
|
||||
-DSTAGE=2 -DPREV_STAGE=${CMAKE_BINARY_DIR}/stage1 -DPREV_STAGE_CMAKE_EXECUTABLE_SUFFIX=${CMAKE_EXECUTABLE_SUFFIX}
|
||||
${CL_ARGS}
|
||||
CMAKE_ARGS -DSTAGE=2 -DPREV_STAGE=${CMAKE_BINARY_DIR}/stage1 -DPREV_STAGE_CMAKE_EXECUTABLE_SUFFIX=${CMAKE_EXECUTABLE_SUFFIX} ${CL_ARGS}
|
||||
BUILD_ALWAYS ON
|
||||
INSTALL_COMMAND ""
|
||||
DEPENDS stage1
|
||||
EXCLUDE_FROM_ALL ON
|
||||
STEP_TARGETS configure
|
||||
)
|
||||
ExternalProject_Add(
|
||||
stage3
|
||||
ExternalProject_add(stage3
|
||||
SOURCE_DIR "${LEAN_SOURCE_DIR}"
|
||||
SOURCE_SUBDIR src
|
||||
BINARY_DIR stage3
|
||||
CMAKE_ARGS
|
||||
-DSTAGE=3 -DPREV_STAGE=${CMAKE_BINARY_DIR}/stage2 -DPREV_STAGE_CMAKE_EXECUTABLE_SUFFIX=${CMAKE_EXECUTABLE_SUFFIX}
|
||||
${CL_ARGS}
|
||||
CMAKE_ARGS -DSTAGE=3 -DPREV_STAGE=${CMAKE_BINARY_DIR}/stage2 -DPREV_STAGE_CMAKE_EXECUTABLE_SUFFIX=${CMAKE_EXECUTABLE_SUFFIX} ${CL_ARGS}
|
||||
BUILD_ALWAYS ON
|
||||
INSTALL_COMMAND ""
|
||||
DEPENDS stage2
|
||||
@@ -157,14 +137,24 @@ ExternalProject_Add(
|
||||
|
||||
# targets forwarded to appropriate stages
|
||||
|
||||
add_custom_target(update-stage0 COMMAND $(MAKE) -C stage1 update-stage0 DEPENDS stage1)
|
||||
add_custom_target(update-stage0
|
||||
COMMAND $(MAKE) -C stage1 update-stage0
|
||||
DEPENDS stage1)
|
||||
|
||||
add_custom_target(update-stage0-commit COMMAND $(MAKE) -C stage1 update-stage0-commit DEPENDS stage1)
|
||||
add_custom_target(update-stage0-commit
|
||||
COMMAND $(MAKE) -C stage1 update-stage0-commit
|
||||
DEPENDS stage1)
|
||||
|
||||
add_custom_target(test COMMAND $(MAKE) -C stage1 test DEPENDS stage1)
|
||||
add_custom_target(test
|
||||
COMMAND $(MAKE) -C stage1 test
|
||||
DEPENDS stage1)
|
||||
|
||||
add_custom_target(clean-stdlib COMMAND $(MAKE) -C stage1 clean-stdlib DEPENDS stage1)
|
||||
add_custom_target(clean-stdlib
|
||||
COMMAND $(MAKE) -C stage1 clean-stdlib
|
||||
DEPENDS stage1)
|
||||
|
||||
install(CODE "execute_process(COMMAND make -C stage1 install)")
|
||||
|
||||
add_custom_target(check-stage3 COMMAND diff "stage2/bin/lean" "stage3/bin/lean" DEPENDS stage3)
|
||||
add_custom_target(check-stage3
|
||||
COMMAND diff "stage2/bin/lean" "stage3/bin/lean"
|
||||
DEPENDS stage3)
|
||||
|
||||
@@ -218,18 +218,8 @@ Please read https://leanprover-community.github.io/contribute/tags_and_branches.
|
||||
|
||||
# Writing the release notes
|
||||
|
||||
Release notes content is only written for the first release candidate (`-rc1`). For subsequent RCs and stable releases,
|
||||
just update the title in the existing release notes file (see "Release notes title format" below).
|
||||
|
||||
## Release notes title format
|
||||
|
||||
The title in the `#doc (Manual)` line must follow these formats:
|
||||
|
||||
- **For -rc1**: `"Lean 4.7.0-rc1 (2024-03-15)"` — Include the RC suffix and the release date
|
||||
- **For -rc2, -rc3, etc.**: `"Lean 4.7.0-rc2 (2024-03-20)"` — Update the RC number and date
|
||||
- **For stable release**: `"Lean 4.7.0 (2024-04-01)"` — Remove the RC suffix but keep the date
|
||||
|
||||
The date should be the actual date when the tag was pushed (or when CI completed and created the release page).
|
||||
Release notes are only needed for the first release candidate (`-rc1`). For subsequent RCs and stable releases,
|
||||
just update the version number in the title of the existing release notes file.
|
||||
|
||||
## Generating the release notes
|
||||
|
||||
@@ -283,7 +273,7 @@ open Verso.Genre
|
||||
open Verso.Genre.Manual
|
||||
open Verso.Genre.Manual.InlineLean
|
||||
|
||||
#doc (Manual) "Lean 4.7.0-rc1 (2024-03-15)" =>
|
||||
#doc (Manual) "Lean 4.7.0-rc1 (YYYY-MM-DD)" =>
|
||||
%%%
|
||||
tag := "release-v4.7.0"
|
||||
file := "v4.7.0"
|
||||
@@ -326,27 +316,7 @@ Common errors and fixes:
|
||||
|
||||
## Creating the PR
|
||||
|
||||
**Important: Timing with the reference-manual tag**
|
||||
|
||||
The reference-manual repository deploys documentation when a version tag is pushed. If you merge
|
||||
release notes AFTER the tag is created, the deployed documentation won't include them.
|
||||
|
||||
You have two options:
|
||||
|
||||
1. **Preferred**: Include the release notes in the same PR as the toolchain bump (or merge the
|
||||
release notes PR before creating the tag). This ensures the tag includes the release notes.
|
||||
|
||||
2. **If release notes are merged after the tag**: You must regenerate the tag to trigger a new deployment:
|
||||
```bash
|
||||
cd /path/to/reference-manual
|
||||
git fetch origin
|
||||
git tag -d v4.7.0-rc1 # Delete local tag
|
||||
git tag v4.7.0-rc1 origin/main # Create tag at current main (which has release notes)
|
||||
git push origin :refs/tags/v4.7.0-rc1 # Delete remote tag
|
||||
git push origin v4.7.0-rc1 # Push new tag (triggers Deploy workflow)
|
||||
```
|
||||
|
||||
If creating a separate PR for release notes:
|
||||
Create a separate PR for the release notes (don't bundle with the toolchain bump PR):
|
||||
```bash
|
||||
git checkout -b v4.7.0-release-notes
|
||||
git add Manual/Releases/v4_7_0.lean Manual/Releases.lean
|
||||
|
||||
13
script/fmt
13
script/fmt
@@ -1,13 +0,0 @@
|
||||
#!/usr/bin/env bash
|
||||
set -euo pipefail
|
||||
|
||||
# This script expects to be run from the repo root.
|
||||
|
||||
# Format cmake files
|
||||
find -regex '.*/CMakeLists\.txt\(\.in\)?\|.*\.cmake\(\.in\)?' \
|
||||
! -path './build/*' \
|
||||
! -path "./stage0/*" \
|
||||
-exec \
|
||||
uvx gersemi --in-place --line-length 120 --indent 2 \
|
||||
--definitions src/cmake/Modules/ src/CMakeLists.txt \
|
||||
-- {} +
|
||||
File diff suppressed because it is too large
Load Diff
@@ -42,7 +42,7 @@ public import Init.While
|
||||
public import Init.Syntax
|
||||
public import Init.Internal
|
||||
public import Init.Try
|
||||
public meta import Init.Try -- shake: keep (make sure `Try.Config` can be evaluated anywhere)
|
||||
public meta import Init.Try -- make sure `Try.Config` can be evaluated anywhere
|
||||
public import Init.BinderNameHint
|
||||
public import Init.Task
|
||||
public import Init.MethodSpecsSimp
|
||||
|
||||
@@ -7,8 +7,7 @@ Authors: Joachim Breitner
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Prelude
|
||||
import Init.Tactics
|
||||
public import Init.Tactics
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,10 +6,7 @@ Authors: Gabriel Ebner
|
||||
module
|
||||
|
||||
prelude
|
||||
public meta import Init.Grind.Tactics
|
||||
public import Init.Notation
|
||||
import Init.Meta.Defs
|
||||
import Init.NotationExtra
|
||||
public import Init.NotationExtra
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,9 +6,7 @@ Authors: Leonardo de Moura, Mario Carneiro
|
||||
module
|
||||
|
||||
prelude
|
||||
public meta import Init.Grind.Tactics
|
||||
public import Init.Grind.Tactics
|
||||
import Init.SimpLemmas
|
||||
public import Init.Classical
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -142,7 +142,6 @@ is classically true but not constructively. -/
|
||||
|
||||
/-- Transfer decidability of `¬ p` to decidability of `p`. -/
|
||||
-- This can not be an instance as it would be tried everywhere.
|
||||
@[instance_reducible]
|
||||
def decidable_of_decidable_not (p : Prop) [h : Decidable (¬ p)] : Decidable p :=
|
||||
match h with
|
||||
| isFalse h => isTrue (Classical.not_not.mp h)
|
||||
|
||||
@@ -17,4 +17,3 @@ public import Init.Control.Lawful
|
||||
public import Init.Control.StateCps
|
||||
public import Init.Control.ExceptCps
|
||||
public import Init.Control.MonadAttach
|
||||
public import Init.Control.EState
|
||||
|
||||
@@ -29,7 +29,7 @@ instance (priority := 500) instForInOfForIn' [ForIn' m ρ α d] : ForIn m ρ α
|
||||
(f : (a : α) → a ∈ x → β → m (ForInStep β)) (g : (a : α) → β → m (ForInStep β))
|
||||
(h : ∀ a m b, f a m b = g a b) :
|
||||
forIn' x b f = forIn x b g := by
|
||||
simp [forIn]
|
||||
simp [instForInOfForIn']
|
||||
congr
|
||||
apply funext
|
||||
intro a
|
||||
@@ -322,8 +322,6 @@ class MonadControl (m : semiOutParam (Type u → Type v)) (n : Type u → Type w
|
||||
-/
|
||||
restoreM : {α : Type u} → m (stM α) → n α
|
||||
|
||||
attribute [reducible] MonadControl.stM
|
||||
|
||||
/--
|
||||
A way to lift a computation from one monad to another while providing the lifted computation with a
|
||||
means of interpreting computations from the outer monad. This provides a means of lifting
|
||||
@@ -351,8 +349,6 @@ class MonadControlT (m : Type u → Type v) (n : Type u → Type w) where
|
||||
-/
|
||||
restoreM {α : Type u} : stM α → n α
|
||||
|
||||
attribute [reducible] MonadControlT.stM
|
||||
|
||||
export MonadControlT (stM liftWith restoreM)
|
||||
|
||||
@[always_inline]
|
||||
|
||||
@@ -7,7 +7,6 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Data.ToString.Basic
|
||||
public import Init.Control.State
|
||||
|
||||
public section
|
||||
universe u v
|
||||
|
||||
@@ -7,7 +7,6 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Control.Lawful.Basic
|
||||
import Init.SimpLemmas
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -8,6 +8,7 @@ The identity Monad.
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Core
|
||||
public import Init.Control.MonadAttach
|
||||
|
||||
public section
|
||||
|
||||
@@ -6,9 +6,7 @@ Authors: Sebastian Ullrich, Leonardo de Moura, Mario Carneiro
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Control.Id
|
||||
public import Init.Grind.Tactics
|
||||
import Init.Ext
|
||||
public import Init.Ext
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -12,8 +12,6 @@ public import Init.Control.Option
|
||||
import all Init.Control.Option
|
||||
import all Init.Control.State
|
||||
public import Init.Control.StateRef
|
||||
public import Init.Control.State
|
||||
public import Init.Ext
|
||||
|
||||
public section
|
||||
|
||||
@@ -104,7 +102,7 @@ instance [Monad m] [LawfulMonad m] : LawfulMonad (ExceptT ε m) where
|
||||
|
||||
@[simp] theorem map_throw [Monad m] [LawfulMonad m] {α β : Type _} (f : α → β) (e : ε) :
|
||||
f <$> (throw e : ExceptT ε m α) = (throw e : ExceptT ε m β) := by
|
||||
simp only [Functor.map, ExceptT.map, ExceptT.mk, throw, throwThe, MonadExceptOf.throw,
|
||||
simp only [ExceptT.instMonad, ExceptT.map, ExceptT.mk, throw, throwThe, MonadExceptOf.throw,
|
||||
pure_bind]
|
||||
|
||||
/-! Note that the `MonadControl` instance for `ExceptT` is not monad-generic. -/
|
||||
@@ -123,11 +121,6 @@ instance [Monad m] [LawfulMonad m] : LawfulMonad (ExceptT ε m) where
|
||||
@[simp] theorem run_control [Monad m] [LawfulMonad m] (f : ({β : Type u} → ExceptT ε m β → m (stM m (ExceptT ε m) β)) → m (stM m (ExceptT ε m) α)) :
|
||||
ExceptT.run (control f) = f fun x => x.run := run_controlAt f
|
||||
|
||||
@[simp, grind =]
|
||||
theorem run_adapt [Monad m] (f : ε → ε') (x : ExceptT ε m α)
|
||||
: run (ExceptT.adapt f x : ExceptT ε' m α) = Except.mapError f <$> run x :=
|
||||
rfl
|
||||
|
||||
end ExceptT
|
||||
|
||||
/-! # Except -/
|
||||
@@ -474,33 +467,15 @@ namespace EStateM
|
||||
@[simp, grind =] theorem run_throw (e : ε) (s : σ):
|
||||
EStateM.run (throw e : EStateM ε σ PUnit) s = .error e s := rfl
|
||||
|
||||
@[simp, grind =] theorem run_bind (x : EStateM ε σ α) (f : α → EStateM ε σ β)
|
||||
: EStateM.run (x >>= f : EStateM ε σ β) s
|
||||
=
|
||||
match EStateM.run x s with
|
||||
| .ok x s => EStateM.run (f x) s
|
||||
| .error e s => .error e s :=
|
||||
rfl
|
||||
|
||||
@[simp, grind =]
|
||||
theorem run_adaptExcept (f : ε → ε') (x : EStateM ε σ α) (s : σ)
|
||||
: EStateM.run (EStateM.adaptExcept f x : EStateM ε' σ α) s
|
||||
=
|
||||
match EStateM.run x s with
|
||||
| .ok x s => .ok x s
|
||||
| .error e s => .error (f e) s := by
|
||||
simp only [EStateM.run, EStateM.adaptExcept]
|
||||
cases (x s) <;> rfl
|
||||
|
||||
instance : LawfulMonad (EStateM ε σ) := .mk'
|
||||
(id_map := fun x => funext <| fun s => by
|
||||
simp only [Functor.map, EStateM.map]
|
||||
dsimp only [EStateM.instMonad, EStateM.map]
|
||||
match x s with
|
||||
| .ok _ _ => rfl
|
||||
| .error _ _ => rfl)
|
||||
(pure_bind := fun _ _ => by rfl)
|
||||
(bind_assoc := fun x _ _ => funext <| fun s => by
|
||||
simp only [bind, EStateM.bind]
|
||||
dsimp only [EStateM.instMonad, EStateM.bind]
|
||||
match x s with
|
||||
| .ok _ _ => rfl
|
||||
| .error _ _ => rfl)
|
||||
|
||||
@@ -7,9 +7,7 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Control.Lawful.Basic
|
||||
public import Init.Classical
|
||||
public import Init.Ext
|
||||
import Init.ByCases
|
||||
public import Init.ByCases
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,11 +6,9 @@ Authors: Paul Reichert
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Control.Reader
|
||||
public import Init.Control.Lawful.Instances
|
||||
import Init.Control.Lawful.MonadAttach.Lemmas
|
||||
public import Init.Control.Lawful.Basic
|
||||
public import Init.Control.State
|
||||
public import Init.Control.StateRef
|
||||
public import Init.Ext
|
||||
|
||||
public instance [Monad m] [LawfulMonad m] [MonadAttach m] [WeaklyLawfulMonadAttach m] :
|
||||
WeaklyLawfulMonadAttach (ReaderT ρ m) where
|
||||
|
||||
@@ -6,12 +6,10 @@ Authors: Paul Reichert
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Control.MonadAttach
|
||||
import all Init.Control.MonadAttach
|
||||
public import Init.Classical
|
||||
public import Init.Control.Lawful.Basic
|
||||
public import Init.Control.Lawful.MonadLift.Basic
|
||||
import Init.Control.Lawful.MonadLift.Lemmas
|
||||
import Init.RCases
|
||||
public import Init.Control.Lawful.Lemmas
|
||||
public import Init.Control.Lawful.MonadLift.Lemmas
|
||||
|
||||
public theorem LawfulMonadAttach.canReturn_bind_imp' [Monad m] [LawfulMonad m]
|
||||
[MonadAttach m] [LawfulMonadAttach m]
|
||||
|
||||
@@ -6,7 +6,7 @@ Authors: Quang Dao
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Notation
|
||||
public import Init.Control.Basic
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -14,12 +14,8 @@ import all Init.Control.StateRef
|
||||
public import Init.Control.StateCps
|
||||
import all Init.Control.StateCps
|
||||
import all Init.Control.Id
|
||||
public import Init.Control.Lawful.MonadLift.Basic
|
||||
public import Init.Control.Option
|
||||
public import Init.Control.State
|
||||
public import Init.Control.StateRef
|
||||
import Init.Control.Lawful.Instances
|
||||
import Init.Control.Lawful.MonadLift.Lemmas
|
||||
public import Init.Control.Lawful.MonadLift.Lemmas
|
||||
public import Init.Control.Lawful.Instances
|
||||
|
||||
public section
|
||||
|
||||
@@ -67,7 +63,7 @@ variable [Monad m] [LawfulMonad m]
|
||||
@[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 [bind, OptionT.bind, OptionT.mk, OptionT.lift, bind_pure_comp, bind_map_left,
|
||||
simp only [instMonad, OptionT.bind, OptionT.mk, OptionT.lift, bind_pure_comp, bind_map_left,
|
||||
map_bind]
|
||||
|
||||
instance : LawfulMonadLift m (OptionT m) where
|
||||
@@ -83,7 +79,7 @@ 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 [bind, ExceptT.bind, mk, ExceptT.lift, bind_map_left, ExceptT.bindCont, map_bind]
|
||||
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
|
||||
@@ -93,7 +89,8 @@ 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 [bind, ExceptT.bind, mk, MonadLift.monadLift, pure_bind, ExceptT.bindCont, Except.bind]
|
||||
simp only [instMonad, ExceptT.bind, mk, MonadLift.monadLift, pure_bind, ExceptT.bindCont,
|
||||
Except.instMonad, Except.bind]
|
||||
rcases ma with _ | _ <;> simp
|
||||
|
||||
end ExceptT
|
||||
|
||||
@@ -6,9 +6,9 @@ Authors: Quang Dao
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Control.Id
|
||||
public import Init.Control.Lawful.Basic
|
||||
public import Init.Control.Lawful.MonadLift.Basic
|
||||
import Init.Ext
|
||||
|
||||
public section
|
||||
|
||||
@@ -17,7 +17,7 @@ universe u v w
|
||||
theorem instMonadLiftTOfMonadLift_instMonadLiftTOfPure [Monad m] [Monad n] {_ : MonadLift m n}
|
||||
[LawfulMonadLift m n] : instMonadLiftTOfMonadLift Id m n = Id.instMonadLiftTOfPure := by
|
||||
have hext {a b : MonadLiftT Id n} (h : @a.monadLift = @b.monadLift) : a = b := by
|
||||
cases a; cases b; simp [monadLift] at h; simp [h]
|
||||
cases a <;> cases b <;> simp_all
|
||||
apply hext
|
||||
ext α x
|
||||
simp [monadLift, LawfulMonadLift.monadLift_pure]
|
||||
|
||||
@@ -6,7 +6,7 @@ Authors: Paul Reichert
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Core
|
||||
public import Init.Control.Basic
|
||||
|
||||
set_option linter.all true
|
||||
|
||||
@@ -70,7 +70,7 @@ information to the return value, except a trivial proof of {name}`True`.
|
||||
This instance is used whenever no more useful {name}`MonadAttach` instance can be implemented.
|
||||
It always has a {name}`WeaklyLawfulMonadAttach`, but usually no {name}`LawfulMonadAttach` instance.
|
||||
-/
|
||||
@[expose, instance_reducible]
|
||||
@[expose]
|
||||
public protected def MonadAttach.trivial {m : Type u → Type v} [Monad m] : MonadAttach m where
|
||||
CanReturn _ _ := True
|
||||
attach x := (⟨·, .intro⟩) <$> x
|
||||
|
||||
@@ -7,7 +7,7 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Option.Basic
|
||||
public import Init.Control.MonadAttach
|
||||
public import Init.Control.Except
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -7,7 +7,6 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Control.Lawful.Basic
|
||||
public import Init.Ext
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -9,7 +9,6 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.System.ST
|
||||
public import Init.Control.Reader
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -51,10 +51,6 @@ scoped syntax (name := withAnnotateState)
|
||||
/-- `skip` does nothing. -/
|
||||
syntax (name := skip) "skip" : conv
|
||||
|
||||
/-- `cbv` performs simplification that closely mimics call-by-value evaluation,
|
||||
using equations associated with definitions and the matchers. -/
|
||||
syntax (name := cbv) "cbv" : conv
|
||||
|
||||
/--
|
||||
Traverses into the left subterm of a binary operator.
|
||||
|
||||
|
||||
@@ -9,7 +9,6 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.SizeOf
|
||||
public import Init.Tactics
|
||||
|
||||
public section
|
||||
set_option linter.missingDocs true -- keep it documented
|
||||
@@ -489,8 +488,6 @@ class HasEquiv (α : Sort u) where
|
||||
the notion of equivalence is type-dependent. -/
|
||||
Equiv : α → α → Sort v
|
||||
|
||||
attribute [reducible] HasEquiv.Equiv
|
||||
|
||||
@[inherit_doc] infix:50 " ≈ " => HasEquiv.Equiv
|
||||
|
||||
recommended_spelling "equiv" for "≈" in [HasEquiv.Equiv, «term_≈_»]
|
||||
@@ -935,14 +932,6 @@ noncomputable def HEq.ndrec.{u1, u2} {α : Sort u2} {a : α} {motive : {β : Sor
|
||||
noncomputable def HEq.ndrecOn.{u1, u2} {α : Sort u2} {a : α} {motive : {β : Sort u2} → β → Sort u1} {β : Sort u2} {b : β} (h : a ≍ b) (m : motive a) : motive b :=
|
||||
h.rec m
|
||||
|
||||
/-- `HEq.ndrec` specialized to homogeneous heterogeneous equality -/
|
||||
noncomputable def HEq.homo_ndrec.{u1, u2} {α : Sort u2} {a : α} {motive : α → Sort u1} (m : motive a) {b : α} (h : a ≍ b) : motive b :=
|
||||
(eq_of_heq h).ndrec m
|
||||
|
||||
/-- `HEq.ndrec` specialized to homogeneous heterogeneous equality, symmetric variant -/
|
||||
noncomputable def HEq.homo_ndrec_symm.{u1, u2} {α : Sort u2} {a : α} {motive : α → Sort u1} (m : motive a) {b : α} (h : b ≍ a) : motive b :=
|
||||
(eq_of_heq h).ndrec_symm m
|
||||
|
||||
/-- `HEq.ndrec` variant -/
|
||||
noncomputable def HEq.elim {α : Sort u} {a : α} {p : α → Sort v} {b : α} (h₁ : a ≍ b) (h₂ : p a) : p b :=
|
||||
eq_of_heq h₁ ▸ h₂
|
||||
@@ -1489,29 +1478,6 @@ def Prod.map {α₁ : Type u₁} {α₂ : Type u₂} {β₁ : Type v₁} {β₂
|
||||
|
||||
/-! # Dependent products -/
|
||||
|
||||
instance {α : Type u} {β : α → Type v} [h₁ : DecidableEq α] [h₂ : ∀ a, DecidableEq (β a)] :
|
||||
DecidableEq (Sigma β)
|
||||
| ⟨a₁, b₁⟩, ⟨a₂, b₂⟩ =>
|
||||
match a₁, b₁, a₂, b₂, h₁ a₁ a₂ with
|
||||
| _, b₁, _, b₂, isTrue (Eq.refl _) =>
|
||||
match b₁, b₂, h₂ _ b₁ b₂ with
|
||||
| _, _, isTrue (Eq.refl _) => isTrue rfl
|
||||
| _, _, isFalse n => isFalse fun h ↦
|
||||
Sigma.noConfusion rfl .rfl (heq_of_eq h) fun _ e₂ ↦ n (eq_of_heq e₂)
|
||||
| _, _, _, _, isFalse n => isFalse fun h ↦
|
||||
Sigma.noConfusion rfl .rfl (heq_of_eq h) fun e₁ _ ↦ n (eq_of_heq e₁)
|
||||
|
||||
instance {α : Sort u} {β : α → Sort v} [h₁ : DecidableEq α] [h₂ : ∀ a, DecidableEq (β a)] : DecidableEq (PSigma β)
|
||||
| ⟨a₁, b₁⟩, ⟨a₂, b₂⟩ =>
|
||||
match a₁, b₁, a₂, b₂, h₁ a₁ a₂ with
|
||||
| _, b₁, _, b₂, isTrue (Eq.refl _) =>
|
||||
match b₁, b₂, h₂ _ b₁ b₂ with
|
||||
| _, _, isTrue (Eq.refl _) => isTrue rfl
|
||||
| _, _, isFalse n => isFalse fun h ↦
|
||||
PSigma.noConfusion rfl .rfl (heq_of_eq h) fun _ e₂ ↦ n (eq_of_heq e₂)
|
||||
| _, _, _, _, isFalse n => isFalse fun h ↦
|
||||
PSigma.noConfusion rfl .rfl (heq_of_eq h) fun e₁ _ ↦ n (eq_of_heq e₁)
|
||||
|
||||
theorem Exists.of_psigma_prop {α : Sort u} {p : α → Prop} : (PSigma (fun x => p x)) → Exists (fun x => p x)
|
||||
| ⟨x, hx⟩ => ⟨x, hx⟩
|
||||
|
||||
@@ -2363,10 +2329,8 @@ namespace Lean
|
||||
/--
|
||||
Depends on the correctness of the Lean compiler, interpreter, and all `[implemented_by ...]` and `[extern ...]` annotations.
|
||||
-/
|
||||
@[deprecated "in-kernel native reduction is deprecated; assert native evaluations with axioms instead" (since := "2026-02-01")]
|
||||
axiom trustCompiler : True
|
||||
|
||||
set_option linter.deprecated false in
|
||||
/--
|
||||
When the kernel tries to reduce a term `Lean.reduceBool c`, it will invoke the Lean interpreter to evaluate `c`.
|
||||
The kernel will not use the interpreter if `c` is not a constant.
|
||||
@@ -2386,13 +2350,11 @@ Recall that the compiler trusts the correctness of all `[implemented_by ...]` an
|
||||
If an extern function is executed, then the trusted code base will also include the implementation of the associated
|
||||
foreign function.
|
||||
-/
|
||||
@[deprecated "in-kernel native reduction is deprecated; assert native evaluations with axioms instead" (since := "2026-02-01")]
|
||||
opaque reduceBool (b : Bool) : Bool :=
|
||||
-- This ensures that `#print axioms` will track use of `reduceBool`.
|
||||
have := trustCompiler
|
||||
b
|
||||
|
||||
set_option linter.deprecated false in
|
||||
/--
|
||||
Similar to `Lean.reduceBool` for closed `Nat` terms.
|
||||
|
||||
@@ -2400,14 +2362,12 @@ Remark: we do not have plans for supporting a generic `reduceValue {α} (a : α)
|
||||
The main issue is that it is non-trivial to convert an arbitrary runtime object back into a Lean expression.
|
||||
We believe `Lean.reduceBool` enables most interesting applications (e.g., proof by reflection).
|
||||
-/
|
||||
@[deprecated "in-kernel native reduction is deprecated; assert native evaluations with axioms instead" (since := "2026-02-01")]
|
||||
opaque reduceNat (n : Nat) : Nat :=
|
||||
-- This ensures that `#print axioms` will track use of `reduceNat`.
|
||||
have := trustCompiler
|
||||
n
|
||||
|
||||
|
||||
set_option linter.deprecated false in
|
||||
/--
|
||||
The axiom `ofReduceBool` is used to perform proofs by reflection. See `reduceBool`.
|
||||
|
||||
@@ -2421,10 +2381,8 @@ external type checkers that do not implement this feature.
|
||||
Keep in mind that if you are using Lean as programming language, you are already trusting the Lean compiler and interpreter.
|
||||
So, you are mainly losing the capability of type checking your development using external checkers.
|
||||
-/
|
||||
@[deprecated "in-kernel native reduction is deprecated; assert native evaluations with axioms instead" (since := "2026-02-01")]
|
||||
axiom ofReduceBool (a b : Bool) (h : reduceBool a = b) : a = b
|
||||
|
||||
set_option linter.deprecated false in
|
||||
/--
|
||||
The axiom `ofReduceNat` is used to perform proofs by reflection. See `reduceBool`.
|
||||
|
||||
@@ -2434,7 +2392,6 @@ external type checkers that do not implement this feature.
|
||||
Keep in mind that if you are using Lean as programming language, you are already trusting the Lean compiler and interpreter.
|
||||
So, you are mainly losing the capability of type checking your development using external checkers.
|
||||
-/
|
||||
@[deprecated "in-kernel native reduction is deprecated; assert native evaluations with axioms instead" (since := "2026-02-01")]
|
||||
axiom ofReduceNat (a b : Nat) (h : reduceNat a = b) : a = b
|
||||
|
||||
|
||||
@@ -2485,7 +2442,7 @@ class IdempotentOp (op : α → α → α) : Prop where
|
||||
idempotent : (x : α) → op x x = x
|
||||
|
||||
/--
|
||||
`LeftIdentity op o` indicates `o` is a left identity of `op`.
|
||||
`LeftIdentify op o` indicates `o` is a left identity of `op`.
|
||||
|
||||
This class does not require a proof that `o` is an identity, and
|
||||
is used primarily for inferring the identity using class resolution.
|
||||
@@ -2493,7 +2450,7 @@ is used primarily for inferring the identity using class resolution.
|
||||
class LeftIdentity (op : α → β → β) (o : outParam α) : Prop
|
||||
|
||||
/--
|
||||
`LawfulLeftIdentity op o` indicates `o` is a verified left identity of
|
||||
`LawfulLeftIdentify op o` indicates `o` is a verified left identity of
|
||||
`op`.
|
||||
-/
|
||||
class LawfulLeftIdentity (op : α → β → β) (o : outParam α) : Prop extends LeftIdentity op o where
|
||||
@@ -2501,7 +2458,7 @@ class LawfulLeftIdentity (op : α → β → β) (o : outParam α) : Prop extend
|
||||
left_id : ∀ a, op o a = a
|
||||
|
||||
/--
|
||||
`RightIdentity op o` indicates `o` is a right identity `o` of `op`.
|
||||
`RightIdentify op o` indicates `o` is a right identity `o` of `op`.
|
||||
|
||||
This class does not require a proof that `o` is an identity, and is used
|
||||
primarily for inferring the identity using class resolution.
|
||||
@@ -2509,7 +2466,7 @@ primarily for inferring the identity using class resolution.
|
||||
class RightIdentity (op : α → β → α) (o : outParam β) : Prop
|
||||
|
||||
/--
|
||||
`LawfulRightIdentity op o` indicates `o` is a verified right identity of
|
||||
`LawfulRightIdentify op o` indicates `o` is a verified right identity of
|
||||
`op`.
|
||||
-/
|
||||
class LawfulRightIdentity (op : α → β → α) (o : outParam β) : Prop extends RightIdentity op o where
|
||||
|
||||
@@ -7,9 +7,7 @@ Authors: Dany Fabian
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.GetElem
|
||||
import Init.ByCases
|
||||
import Init.PropLemmas
|
||||
public import Init.ByCases
|
||||
|
||||
@[expose] public section
|
||||
|
||||
|
||||
@@ -30,7 +30,3 @@ public import Init.Data.Array.Erase
|
||||
public import Init.Data.Array.Zip
|
||||
public import Init.Data.Array.InsertIdx
|
||||
public import Init.Data.Array.Extract
|
||||
public import Init.Data.Array.MinMax
|
||||
public import Init.Data.Array.Nat
|
||||
public import Init.Data.Array.Int
|
||||
public import Init.Data.Array.Count
|
||||
|
||||
@@ -6,10 +6,8 @@ Authors: Joachim Breitner, Mario Carneiro
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Array.Count
|
||||
import all Init.Data.List.Attach
|
||||
public import Init.Data.Array.Lemmas
|
||||
import Init.Data.Array.Bootstrap
|
||||
import Init.Data.Array.Count
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -11,9 +11,6 @@ public import Init.Data.List.ToArrayImpl
|
||||
import all Init.Data.List.ToArrayImpl
|
||||
public import Init.Data.Array.Set
|
||||
import all Init.Data.Array.Set
|
||||
public import Init.WF
|
||||
meta import Init.MetaTypes
|
||||
import Init.WFTactics
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -7,9 +7,7 @@ module
|
||||
|
||||
prelude
|
||||
import all Init.Data.Array.Basic
|
||||
public import Init.Data.Array.Set
|
||||
public import Init.Util
|
||||
import Init.Data.Nat.Linear
|
||||
public import Init.Data.Nat.Linear
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,10 +6,7 @@ Authors: Leonardo de Moura
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Array.Basic
|
||||
import Init.Data.Bool
|
||||
import Init.Omega
|
||||
import Init.WFTactics
|
||||
public import Init.Data.Int.DivMod.Lemmas
|
||||
|
||||
public section
|
||||
universe u v
|
||||
|
||||
@@ -7,10 +7,8 @@ Authors: Mario Carneiro
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.List.TakeDrop
|
||||
import all Init.Data.Array.Basic
|
||||
public import Init.Data.List.Control
|
||||
import Init.Data.List.Lemmas
|
||||
import Init.Data.List.TakeDrop
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -7,14 +7,8 @@ module
|
||||
|
||||
prelude
|
||||
import all Init.Data.Array.Basic
|
||||
import Init.Grind.Util -- shake: keep (`@[grind]` dependency)
|
||||
public import Init.BinderPredicates
|
||||
public import Init.Ext
|
||||
public import Init.NotationExtra
|
||||
import Init.Data.Array.Lemmas
|
||||
import Init.Data.Bool
|
||||
import Init.Data.List.Count
|
||||
import Init.Data.List.Nat.Count
|
||||
public import Init.Data.Array.Lemmas
|
||||
public import Init.Data.List.Nat.Count
|
||||
|
||||
public section
|
||||
|
||||
@@ -98,18 +92,6 @@ theorem countP_le_size : countP p xs ≤ xs.size := by
|
||||
rcases xs with ⟨xs⟩
|
||||
simp
|
||||
|
||||
/-- This lemma is only relevant for `grind`. -/
|
||||
@[grind ←=]
|
||||
theorem _root_.Std.Internal.Array.countP_eq_zero_of_forall {xs : Array α} (h : ∀ x ∈ xs, ¬ p x) : xs.countP p = 0 :=
|
||||
countP_eq_zero.mpr h
|
||||
|
||||
/-- This lemma is only relevant for `grind`. -/
|
||||
theorem _root_.Std.Internal.Array.not_of_countP_eq_zero_of_mem {xs : Array α} (h : xs.countP p = 0) (h' : x ∈ xs) : ¬ p x :=
|
||||
countP_eq_zero.mp h _ h'
|
||||
|
||||
grind_pattern Std.Internal.Array.not_of_countP_eq_zero_of_mem => xs.countP p, x ∈ xs where
|
||||
guard xs.countP p = 0
|
||||
|
||||
@[simp] theorem countP_eq_size {p} : countP p xs = xs.size ↔ ∀ a ∈ xs, p a := by
|
||||
rcases xs with ⟨xs⟩
|
||||
simp
|
||||
|
||||
@@ -7,14 +7,8 @@ module
|
||||
|
||||
prelude
|
||||
import all Init.Data.Array.Basic
|
||||
public import Init.Data.Array.Basic
|
||||
public import Init.Data.Nat.Lemmas
|
||||
import Init.ByCases
|
||||
import Init.Classical
|
||||
import Init.Data.BEq
|
||||
import Init.Data.Bool
|
||||
import Init.Data.List.Nat.BEq
|
||||
import Init.RCases
|
||||
public import Init.Data.BEq
|
||||
public import Init.Data.List.Nat.BEq
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -8,13 +8,6 @@ module
|
||||
prelude
|
||||
import all Init.Data.Array.Basic
|
||||
public import Init.Data.Array.Lemmas
|
||||
import Init.Data.Array.Bootstrap
|
||||
import Init.Data.Bool
|
||||
import Init.Data.List.Erase
|
||||
import Init.Data.List.Nat.Basic
|
||||
import Init.Data.List.Nat.Erase
|
||||
import Init.Data.List.TakeDrop
|
||||
import Init.Omega
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,16 +6,7 @@ Authors: Kim Morrison
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.BinderPredicates
|
||||
public import Init.Ext
|
||||
public import Init.NotationExtra
|
||||
import Init.ByCases
|
||||
import Init.Data.Array.Bootstrap
|
||||
import Init.Data.Array.Lemmas
|
||||
import Init.Data.Bool
|
||||
import Init.Data.List.Nat.TakeDrop
|
||||
import Init.Data.List.TakeDrop
|
||||
import Init.Omega
|
||||
public import Init.Data.Array.Lemmas
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,11 +6,7 @@ Authors: François G. Dorais
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Array.Basic
|
||||
import Init.Data.Array.Lemmas
|
||||
import Init.Data.Array.OfFn
|
||||
import Init.Data.Fin.Lemmas
|
||||
import Init.Omega
|
||||
public import Init.Data.Array.OfFn
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,22 +6,9 @@ Authors: Kim Morrison
|
||||
module
|
||||
|
||||
prelude
|
||||
import Init.Data.List.Nat.Sum
|
||||
public import Init.Data.List.Nat.Find
|
||||
import all Init.Data.Array.Basic
|
||||
public import Init.Data.Array.Attach
|
||||
public import Init.Data.Option.BasicAux
|
||||
import Init.ByCases
|
||||
import Init.Data.Array.Bootstrap
|
||||
import Init.Data.Array.MapIdx
|
||||
import Init.Data.Bool
|
||||
import Init.Data.Fin.Lemmas
|
||||
import Init.Data.List.Count
|
||||
import Init.Data.List.Find
|
||||
import Init.Data.List.Impl
|
||||
import Init.Data.List.Nat.Find
|
||||
import Init.Data.List.Nat.TakeDrop
|
||||
import Init.Data.List.TakeDrop
|
||||
import Init.Omega
|
||||
public import Init.Data.Array.Range
|
||||
|
||||
public section
|
||||
|
||||
@@ -127,7 +114,7 @@ theorem getElem_zero_flatten.proof {xss : Array (Array α)} (h : 0 < xss.flatten
|
||||
simp only [List.findSome?_toArray, List.findSome?_map, Function.comp_def, List.getElem?_toArray,
|
||||
List.findSome?_isSome_iff, isSome_getElem?]
|
||||
simp only [flatten_toArray_map_toArray, List.size_toArray, List.length_flatten,
|
||||
List.sum_pos_iff_exists_pos_nat, List.mem_map] at h
|
||||
Nat.sum_pos_iff_exists_pos, List.mem_map] at h
|
||||
obtain ⟨_, ⟨xs, m, rfl⟩, h⟩ := h
|
||||
exact ⟨xs, m, by simpa using h⟩
|
||||
|
||||
@@ -687,39 +674,6 @@ theorem isNone_findFinIdx? {xs : Array α} {p : α → Bool} :
|
||||
simp only [Option.map_map, Function.comp_def, Fin.cast_cast]
|
||||
simp [Array.size]
|
||||
|
||||
/-! ### find? and findFinIdx? -/
|
||||
|
||||
theorem find?_eq_map_findFinIdx?_getElem {xs : Array α} {p : α → Bool} :
|
||||
xs.find? p = (xs.findFinIdx? p).map (xs[·]) := by
|
||||
cases xs
|
||||
simp [List.find?_eq_map_findFinIdx?_getElem]
|
||||
rfl
|
||||
|
||||
theorem find?_eq_bind_findIdx?_getElem? {xs : Array α} {p : α → Bool} :
|
||||
xs.find? p = (xs.findIdx? p).bind (xs[·]?) := by
|
||||
cases xs
|
||||
simp [List.find?_eq_bind_findIdx?_getElem?]
|
||||
|
||||
theorem find?_eq_getElem?_findIdx {xs : Array α} {p : α → Bool} :
|
||||
xs.find? p = xs[xs.findIdx p]? := by
|
||||
cases xs
|
||||
simp [List.find?_eq_getElem?_findIdx]
|
||||
|
||||
theorem findIdx?_eq_bind_find?_idxOf? [BEq α] [LawfulBEq α] {xs : Array α} {p : α → Bool} :
|
||||
xs.findIdx? p = (xs.find? p).bind (xs.idxOf? ·) := by
|
||||
cases xs
|
||||
simp [List.findIdx?_eq_bind_find?_idxOf?]
|
||||
|
||||
theorem findFinIdx?_eq_bind_find?_finIdxOf? [BEq α] [LawfulBEq α] {xs : Array α} {p : α → Bool} :
|
||||
xs.findFinIdx? p = (xs.find? p).bind (xs.finIdxOf? ·) := by
|
||||
cases xs
|
||||
simp [List.findFinIdx?_eq_bind_find?_finIdxOf?]
|
||||
|
||||
theorem findIdx_eq_getD_bind_find?_idxOf? [BEq α] [LawfulBEq α] {xs : Array α} {p : α → Bool} :
|
||||
xs.findIdx p = ((xs.find? p).bind (xs.idxOf? ·)).getD xs.size := by
|
||||
cases xs
|
||||
simp [List.findIdx_eq_getD_bind_find?_idxOf?]
|
||||
|
||||
/-! ### idxOf
|
||||
|
||||
The verification API for `idxOf` is still incomplete.
|
||||
|
||||
@@ -7,8 +7,7 @@ Authors: Leonardo de Moura
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.GetElem
|
||||
import Init.Data.Array.Basic
|
||||
public import Init.Data.Array.Basic
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,11 +6,7 @@ Authors: Kim Morrison
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Array.Basic
|
||||
import Init.Data.List.Nat.InsertIdx
|
||||
import Init.Data.List.ToArray
|
||||
import Init.Data.Nat.Lemmas
|
||||
import Init.Omega
|
||||
public import Init.Data.Array.Lemmas
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -1,34 +0,0 @@
|
||||
/-
|
||||
Copyright (c) 2026 Lean FRO, LLC. All rights reserved.
|
||||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Kim Morrison, Sebastian Graf, Paul Reichert
|
||||
-/
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Array.Basic
|
||||
import Init.Data.Array.Lemmas
|
||||
import Init.Data.Int.Lemmas
|
||||
import Init.Data.List.Int.Sum
|
||||
|
||||
public section
|
||||
|
||||
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
|
||||
set_option linter.indexVariables true -- Enforce naming conventions for index variables.
|
||||
|
||||
namespace Array
|
||||
|
||||
@[simp] theorem sum_replicate_int {n : Nat} {a : Int} : (replicate n a).sum = n * a := by
|
||||
rw [← List.toArray_replicate, List.sum_toArray]
|
||||
simp
|
||||
|
||||
theorem sum_append_int {as₁ as₂ : Array Int} : (as₁ ++ as₂).sum = as₁.sum + as₂.sum := by
|
||||
simp [sum_append]
|
||||
|
||||
theorem sum_reverse_int (xs : Array Int) : xs.reverse.sum = xs.sum := by
|
||||
simp [sum_reverse]
|
||||
|
||||
theorem sum_eq_foldl_int {xs : Array Int} : xs.sum = xs.foldl (init := 0) (· + ·) := by
|
||||
simp only [foldl_eq_foldr_reverse, Int.add_comm, ← sum_eq_foldr, sum_reverse_int]
|
||||
|
||||
end Array
|
||||
@@ -6,28 +6,14 @@ Authors: Mario Carneiro, Kim Morrison
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.List.Nat.Basic
|
||||
public import Init.Data.Array.Mem
|
||||
public import Init.Data.Array.DecidableEq
|
||||
public import Init.Data.Range.Lemmas
|
||||
public import Init.Data.List.ToArray
|
||||
import all Init.Data.List.Control
|
||||
import all Init.Data.Array.Basic
|
||||
import all Init.Data.Array.Bootstrap
|
||||
public import Init.Data.Nat.Lemmas
|
||||
public import Init.Data.Nat.MinMax
|
||||
import Init.ByCases
|
||||
import Init.Data.Array.DecidableEq
|
||||
import Init.Data.Bool
|
||||
import Init.Data.Fin.Lemmas
|
||||
import Init.Data.List.Find
|
||||
import Init.Data.List.Nat.Basic
|
||||
import Init.Data.List.Nat.Modify
|
||||
import Init.Data.List.Nat.TakeDrop
|
||||
import Init.Data.List.Range
|
||||
import Init.Data.List.Zip
|
||||
import Init.Data.Nat.Linear
|
||||
import Init.Data.Nat.Simproc
|
||||
import Init.Data.Option.Lemmas
|
||||
import Init.Data.Prod
|
||||
import Init.Omega
|
||||
import Init.TacticsExtra
|
||||
|
||||
public section
|
||||
|
||||
@@ -496,18 +482,9 @@ theorem mem_iff_getElem {a} {xs : Array α} : a ∈ xs ↔ ∃ (i : Nat) (h : i
|
||||
theorem mem_iff_getElem? {a} {xs : Array α} : a ∈ xs ↔ ∃ i : Nat, xs[i]? = some a := by
|
||||
simp [getElem?_eq_some_iff, mem_iff_getElem]
|
||||
|
||||
theorem exists_mem_iff_exists_getElem {P : α → Prop} {xs : Array α} :
|
||||
(∃ x ∈ xs, P x) ↔ ∃ (i : Nat), ∃ (hi : i < xs.size), P (xs[i]) := by
|
||||
cases xs; simp [List.exists_mem_iff_exists_getElem]
|
||||
|
||||
theorem forall_mem_iff_forall_getElem {P : α → Prop} {xs : Array α} :
|
||||
(∀ x ∈ xs, P x) ↔ ∀ (i : Nat) (hi : i < xs.size), P (xs[i]) := by
|
||||
cases xs; simp [List.forall_mem_iff_forall_getElem]
|
||||
|
||||
@[deprecated forall_mem_iff_forall_getElem (since := "2026-01-29")]
|
||||
theorem forall_getElem {xs : Array α} {p : α → Prop} :
|
||||
(∀ (i : Nat) h, p (xs[i]'h)) ↔ ∀ a, a ∈ xs → p a := by
|
||||
exact forall_mem_iff_forall_getElem.symm
|
||||
cases xs; simp [List.forall_getElem]
|
||||
|
||||
/-! ### isEmpty -/
|
||||
|
||||
@@ -1992,14 +1969,6 @@ theorem append_eq_append_iff {ws xs ys zs : Array α} :
|
||||
· left; exact ⟨as.toList, by simp⟩
|
||||
· right; exact ⟨cs.toList, by simp⟩
|
||||
|
||||
theorem append_eq_append_iff_of_size_eq_left {ws xs ys zs : Array α} (h : ws.size = xs.size) :
|
||||
ws ++ ys = xs ++ zs ↔ ws = xs ∧ ys = zs := by
|
||||
simpa [← Array.toList_inj] using List.append_eq_append_iff_of_size_eq_left h
|
||||
|
||||
theorem append_eq_append_iff_of_size_eq_right {ws xs ys zs : Array α} (h : ys.size = zs.size) :
|
||||
ws ++ ys = xs ++ zs ↔ ws = xs ∧ ys = zs := by
|
||||
simpa [← Array.toList_inj] using List.append_eq_append_iff_of_size_eq_right h
|
||||
|
||||
@[grind =] theorem set_append {xs ys : Array α} {i : Nat} {x : α} (h : i < (xs ++ ys).size) :
|
||||
(xs ++ ys).set i x =
|
||||
if h' : i < xs.size then
|
||||
@@ -2531,6 +2500,10 @@ theorem flatMap_replicate {f : α → Array β} : (replicate n a).flatMap f = (r
|
||||
rw [← List.toArray_replicate, List.isEmpty_toArray]
|
||||
simp
|
||||
|
||||
@[simp] theorem sum_replicate_nat {n : Nat} {a : Nat} : (replicate n a).sum = n * a := by
|
||||
rw [← List.toArray_replicate, List.sum_toArray]
|
||||
simp
|
||||
|
||||
/-! ### Preliminaries about `swap` needed for `reverse`. -/
|
||||
|
||||
@[grind =]
|
||||
@@ -3092,18 +3065,6 @@ theorem foldl_eq_foldlM {f : β → α → β} {b} {xs : Array α} {start stop :
|
||||
theorem foldr_eq_foldrM {f : α → β → β} {b} {xs : Array α} {start stop : Nat} :
|
||||
xs.foldr f b start stop = (xs.foldrM (m := Id) (pure <| f · ·) b start stop).run := rfl
|
||||
|
||||
public theorem foldl_eq_foldl_extract {xs : Array α} {f : β → α → β} {init : β} :
|
||||
xs.foldl (init := init) (start := start) (stop := stop) f =
|
||||
(xs.extract start stop).foldl (init := init) f := by
|
||||
simp only [foldl_eq_foldlM]
|
||||
rw [foldlM_start_stop]
|
||||
|
||||
public theorem foldr_eq_foldr_extract {xs : Array α} {f : α → β → β} {init : β} :
|
||||
xs.foldr (init := init) (start := start) (stop := stop) f =
|
||||
(xs.extract stop start).foldr (init := init) f := by
|
||||
simp only [foldr_eq_foldrM]
|
||||
rw [foldrM_start_stop]
|
||||
|
||||
@[simp] theorem id_run_foldlM {f : β → α → Id β} {b} {xs : Array α} {start stop : Nat} :
|
||||
Id.run (xs.foldlM f b start stop) = xs.foldl (f · · |>.run) b start stop := rfl
|
||||
|
||||
@@ -4316,31 +4277,19 @@ theorem getElem?_range {n : Nat} {i : Nat} : (Array.range n)[i]? = if i < n then
|
||||
/-! ### sum -/
|
||||
|
||||
@[simp, grind =] theorem sum_empty [Add α] [Zero α] : (#[] : Array α).sum = 0 := rfl
|
||||
theorem sum_eq_foldr [Add α] [Zero α] {xs : Array α} :
|
||||
xs.sum = xs.foldr (init := 0) (· + ·) :=
|
||||
rfl
|
||||
|
||||
-- Without further algebraic hypotheses, there's no useful `sum_push` lemma.
|
||||
|
||||
@[simp, grind =]
|
||||
theorem sum_toList [Add α] [Zero α] {as : Array α} : as.toList.sum = as.sum := by
|
||||
theorem sum_eq_sum_toList [Add α] [Zero α] {as : Array α} : as.toList.sum = as.sum := by
|
||||
cases as
|
||||
simp [Array.sum, List.sum]
|
||||
|
||||
@[deprecated sum_toList (since := "2026-01-14")]
|
||||
def sum_eq_sum_toList := @sum_toList
|
||||
|
||||
@[simp, grind =]
|
||||
theorem sum_append [Zero α] [Add α] [Std.Associative (α := α) (· + ·)]
|
||||
[Std.LeftIdentity (α := α) (· + ·) 0] [Std.LawfulLeftIdentity (α := α) (· + ·) 0]
|
||||
{as₁ as₂ : Array α} : (as₁ ++ as₂).sum = as₁.sum + as₂.sum := by
|
||||
simp [← sum_toList, List.sum_append]
|
||||
|
||||
@[simp, grind =]
|
||||
theorem sum_reverse [Zero α] [Add α] [Std.Associative (α := α) (· + ·)]
|
||||
[Std.Commutative (α := α) (· + ·)]
|
||||
[Std.LawfulLeftIdentity (α := α) (· + ·) 0] (xs : Array α) : xs.reverse.sum = xs.sum := by
|
||||
simp [← sum_toList, List.sum_reverse]
|
||||
theorem sum_append_nat {as₁ as₂ : Array Nat} : (as₁ ++ as₂).sum = as₁.sum + as₂.sum := by
|
||||
cases as₁
|
||||
cases as₂
|
||||
simp [List.sum_append_nat]
|
||||
|
||||
theorem foldl_toList_eq_flatMap {l : List α} {acc : Array β}
|
||||
{F : Array β → α → Array β} {G : α → List β}
|
||||
|
||||
@@ -6,10 +6,9 @@ Author: Kim Morrison
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Range.Polymorphic.RangeIterator
|
||||
import Init.Data.Range.Polymorphic.Iterators
|
||||
import Init.Data.Range.Polymorphic.Nat
|
||||
import Init.Omega
|
||||
public import Init.Data.Range.Polymorphic.Iterators
|
||||
public import Init.Data.Range.Polymorphic.Nat
|
||||
import Init.Data.Iterators.Consumers
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -8,13 +8,9 @@ module
|
||||
prelude
|
||||
import all Init.Data.Array.Lex.Basic
|
||||
public import Init.Data.Array.Lex.Basic
|
||||
public import Init.Data.Array.Lemmas
|
||||
public import Init.Data.List.Lex
|
||||
import Init.Data.Range.Polymorphic.NatLemmas
|
||||
public import Init.Data.BEq
|
||||
import Init.Data.Array.DecidableEq
|
||||
import Init.Data.Array.Lemmas
|
||||
import Init.Data.Bool
|
||||
import Init.Data.List.Lex
|
||||
import Init.Data.Range.Polymorphic.Lemmas
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -7,9 +7,9 @@ module
|
||||
|
||||
prelude
|
||||
import all Init.Data.Array.Basic
|
||||
public import Init.Data.Array.OfFn
|
||||
public import Init.Data.List.MapIdx
|
||||
import all Init.Data.List.MapIdx
|
||||
import Init.Data.Array.OfFn
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,11 +6,7 @@ Authors: Leonardo de Moura, Joachim Breitner
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Array.Basic
|
||||
public import Init.WFTactics
|
||||
import Init.Data.List.BasicAux
|
||||
import Init.Data.Nat.Linear
|
||||
meta import Init.MetaTypes
|
||||
public import Init.Data.List.BasicAux
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -1,403 +0,0 @@
|
||||
/-
|
||||
Copyright (c) 2026 Lean FRO, LLC. All rights reserved.
|
||||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Paul Reichert
|
||||
-/
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Array.Lemmas
|
||||
import Init.Data.List.MinMax
|
||||
public import Init.Data.Order.Classes
|
||||
import Init.Data.Array.Bootstrap
|
||||
import Init.Data.Array.DecidableEq
|
||||
import Init.Data.List.TakeDrop
|
||||
import Init.Data.Order.Lemmas
|
||||
|
||||
namespace Array
|
||||
|
||||
/-! ## Minima and maxima -/
|
||||
|
||||
/-! ### min -/
|
||||
|
||||
/--
|
||||
Returns the smallest element of a non-empty array.
|
||||
|
||||
Examples:
|
||||
* `#[4].min (by decide) = 4`
|
||||
* `#[1, 4, 2, 10, 6].min (by decide) = 1`
|
||||
-/
|
||||
public protected def min [Min α] (arr : Array α) (h : arr ≠ #[]) : α :=
|
||||
haveI : arr.size > 0 := by simp [Array.size_pos_iff, h]
|
||||
arr.foldl min arr[0] (start := 1)
|
||||
|
||||
/-! ### min? -/
|
||||
|
||||
/--
|
||||
Returns the smallest element of the array if it is not empty, or `none` if it is empty.
|
||||
|
||||
Examples:
|
||||
* `#[].min? = none`
|
||||
* `#[4].min? = some 4`
|
||||
* `#[1, 4, 2, 10, 6].min? = some 1`
|
||||
-/
|
||||
public protected def min? [Min α] (arr : Array α) : Option α :=
|
||||
if h : arr ≠ #[] then
|
||||
some (arr.min h)
|
||||
else
|
||||
none
|
||||
|
||||
/-! ### max -/
|
||||
|
||||
/--
|
||||
Returns the largest element of a non-empty array.
|
||||
|
||||
Examples:
|
||||
* `#[4].max (by decide) = 4`
|
||||
* `#[1, 4, 2, 10, 6].max (by decide) = 10`
|
||||
-/
|
||||
public protected def max [Max α] (arr : Array α) (h : arr ≠ #[]) : α :=
|
||||
haveI : arr.size > 0 := by simp [Array.size_pos_iff, h]
|
||||
arr.foldl max arr[0] (start := 1)
|
||||
|
||||
/-! ### max? -/
|
||||
|
||||
/--
|
||||
Returns the largest element of the array if it is not empty, or `none` if it is empty.
|
||||
|
||||
Examples:
|
||||
* `#[].max? = none`
|
||||
* `#[4].max? = some 4`
|
||||
* `#[1, 4, 2, 10, 6].max? = some 10`
|
||||
-/
|
||||
public protected def max? [Max α] (arr : Array α) : Option α :=
|
||||
if h : arr ≠ #[] then
|
||||
some (arr.max h)
|
||||
else
|
||||
none
|
||||
|
||||
/-! ### Compatibility with `List` -/
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem _root_.List.min_toArray [Min α] {l : List α} {h} :
|
||||
l.toArray.min h = l.min (by simpa [List.ne_nil_iff_length_pos] using h) := by
|
||||
let h' : l ≠ [] := by simpa [List.ne_nil_iff_length_pos] using h
|
||||
change l.toArray.min h = l.min h'
|
||||
rw [Array.min]
|
||||
· induction l
|
||||
· contradiction
|
||||
· rename_i x xs
|
||||
simp only [List.getElem_toArray, List.getElem_cons_zero, List.size_toArray, List.length_cons]
|
||||
rw [List.toArray_cons, foldl_eq_foldl_extract]
|
||||
rw [← Array.foldl_toList, Array.toList_extract, List.extract_eq_drop_take]
|
||||
simp [List.min]
|
||||
|
||||
public theorem _root_.List.min_eq_min_toArray [Min α] {l : List α} {h} :
|
||||
l.min h = l.toArray.min (by simpa [List.ne_nil_iff_length_pos] using h) := by
|
||||
simp
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem min_toList [Min α] {xs : Array α} {h} :
|
||||
xs.toList.min h = xs.min (by simpa [List.ne_nil_iff_length_pos] using h) := by
|
||||
cases xs; simp
|
||||
|
||||
public theorem min_eq_min_toList [Min α] {xs : Array α} {h} :
|
||||
xs.min h = xs.toList.min (by simpa [List.ne_nil_iff_length_pos] using h) := by
|
||||
simp
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem _root_.List.min?_toArray [Min α] {l : List α} :
|
||||
l.toArray.min? = l.min? := by
|
||||
rw [Array.min?]
|
||||
split
|
||||
· simp [List.min_toArray, List.min_eq_get_min?, - List.get_min?]
|
||||
· simp_all
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem min?_toList [Min α] {xs : Array α} :
|
||||
xs.toList.min? = xs.min? := by
|
||||
cases xs; simp
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem _root_.List.max_toArray [Max α] {l : List α} {h} :
|
||||
l.toArray.max h = l.max (by simpa [List.ne_nil_iff_length_pos] using h) := by
|
||||
let h' : l ≠ [] := by simpa [List.ne_nil_iff_length_pos] using h
|
||||
change l.toArray.max h = l.max h'
|
||||
rw [Array.max]
|
||||
· induction l
|
||||
· contradiction
|
||||
· rename_i x xs
|
||||
simp only [List.getElem_toArray, List.getElem_cons_zero, List.size_toArray, List.length_cons]
|
||||
rw [List.toArray_cons, foldl_eq_foldl_extract]
|
||||
rw [← Array.foldl_toList, Array.toList_extract, List.extract_eq_drop_take]
|
||||
simp [List.max]
|
||||
|
||||
public theorem _root_.List.max_eq_max_toArray [Max α] {l : List α} {h} :
|
||||
l.max h = l.toArray.max (by simpa [List.ne_nil_iff_length_pos] using h) := by
|
||||
simp
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem max_toList [Max α] {xs : Array α} {h} :
|
||||
xs.toList.max h = xs.max (by simpa [List.ne_nil_iff_length_pos] using h) := by
|
||||
cases xs; simp
|
||||
|
||||
public theorem max_eq_max_toList [Max α] {xs : Array α} {h} :
|
||||
xs.max h = xs.toList.max (by simpa [List.ne_nil_iff_length_pos] using h) := by
|
||||
simp
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem _root_.List.max?_toArray [Max α] {l : List α} :
|
||||
l.toArray.max? = l.max? := by
|
||||
rw [Array.max?]
|
||||
split
|
||||
· simp [List.max_toArray, List.max_eq_get_max?, - List.get_max?]
|
||||
· simp_all
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem max?_toList [Max α] {xs : Array α} :
|
||||
xs.toList.max? = xs.max? := by
|
||||
cases xs; simp
|
||||
|
||||
/-! ### Lemmas about `min?` -/
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem min?_empty [Min α] : (#[] : Array α).min? = none :=
|
||||
(rfl)
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem min?_singleton [Min α] {x : α} : #[x].min? = some x :=
|
||||
(rfl)
|
||||
|
||||
-- We don't put `@[simp]` on `min?_singleton_append'`,
|
||||
-- because the definition in terms of `foldl` is not useful for proofs.
|
||||
public theorem min?_singleton_append' [Min α] {xs : Array α} :
|
||||
(#[x] ++ xs).min? = some (xs.foldl min x) := by
|
||||
simp [← min?_toList, toList_append, List.min?]
|
||||
|
||||
@[simp]
|
||||
public theorem min?_singleton_append [Min α] [Std.Associative (min : α → α → α)] {xs : Array α} :
|
||||
(#[x] ++ xs).min? = some (xs.min?.elim x (min x)) := by
|
||||
simp [← min?_toList, toList_append, List.min?_cons]
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem min?_eq_none_iff {xs : Array α} [Min α] : xs.min? = none ↔ xs = #[] := by
|
||||
rcases xs with ⟨l⟩
|
||||
simp
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem isSome_min?_iff {xs : Array α} [Min α] : xs.min?.isSome ↔ xs ≠ #[] := by
|
||||
rcases xs with ⟨l⟩
|
||||
simp
|
||||
|
||||
@[grind .]
|
||||
public theorem isSome_min?_of_mem {xs : Array α} [Min α] {a : α} (h : a ∈ xs) :
|
||||
xs.min?.isSome := by
|
||||
rw [← min?_toList]
|
||||
apply List.isSome_min?_of_mem (a := a)
|
||||
simpa
|
||||
|
||||
public theorem isSome_min?_of_ne_empty [Min α] (xs : Array α) (h : xs ≠ #[]) : xs.min?.isSome := by
|
||||
rw [← min?_toList]
|
||||
apply List.isSome_min?_of_ne_nil
|
||||
simpa
|
||||
|
||||
public theorem min?_mem [Min α] [Std.MinEqOr α] (xs : Array α) (h : xs.min? = some a) : a ∈ xs := by
|
||||
rw [← min?_toList] at h
|
||||
simpa using List.min?_mem h
|
||||
|
||||
public theorem le_min?_iff [Min α] [LE α] [Std.LawfulOrderInf α] :
|
||||
{xs : Array α} → xs.min? = some a → ∀ {x}, x ≤ a ↔ ∀ b, b ∈ xs → x ≤ b := by
|
||||
intro xs h x
|
||||
simp only [← min?_toList] at h
|
||||
simpa using List.le_min?_iff h
|
||||
|
||||
public theorem min?_eq_some_iff [Min α] [LE α] {xs : Array α} [Std.IsLinearOrder α]
|
||||
[Std.LawfulOrderMin α] : xs.min? = some a ↔ a ∈ xs ∧ ∀ b, b ∈ xs → a ≤ b := by
|
||||
rcases xs with ⟨l⟩
|
||||
simpa using List.min?_eq_some_iff
|
||||
|
||||
public theorem min?_replicate [Min α] [Std.IdempotentOp (min : α → α → α)] {n : Nat} {a : α} :
|
||||
(replicate n a).min? = if n = 0 then none else some a := by
|
||||
rw [← List.toArray_replicate, List.min?_toArray, List.min?_replicate]
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem min?_replicate_of_pos [Min α] [Std.MinEqOr α] {n : Nat} {a : α} (h : 0 < n) :
|
||||
(replicate n a).min? = some a := by
|
||||
simp [min?_replicate, Nat.ne_of_gt h]
|
||||
|
||||
public theorem foldl_min [Min α] [Std.IdempotentOp (min : α → α → α)]
|
||||
[Std.Associative (min : α → α → α)] {xs : Array α} {a : α} :
|
||||
xs.foldl (init := a) min = min a (xs.min?.getD a) := by
|
||||
rcases xs with ⟨l⟩
|
||||
simp [List.foldl_min]
|
||||
|
||||
/-! ### Lemmas about `max?` -/
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem max?_empty [Max α] : (#[] : Array α).max? = none :=
|
||||
(rfl)
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem max?_singleton [Max α] {x : α} : #[x].max? = some x :=
|
||||
(rfl)
|
||||
|
||||
-- We don't put `@[simp]` on `max?_singleton_append'`,
|
||||
-- because the definition in terms of `foldl` is not useful for proofs.
|
||||
public theorem max?_singleton_append' [Max α] {xs : Array α} : (#[x] ++ xs).max? = some (xs.foldl max x) := by
|
||||
simp [← max?_toList, toList_append, List.max?]
|
||||
|
||||
@[simp]
|
||||
public theorem max?_singleton_append [Max α] [Std.Associative (max : α → α → α)] {xs : Array α} :
|
||||
(#[x] ++ xs).max? = some (xs.max?.elim x (max x)) := by
|
||||
simp [← max?_toList, toList_append, List.max?_cons]
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem max?_eq_none_iff {xs : Array α} [Max α] : xs.max? = none ↔ xs = #[] := by
|
||||
rcases xs with ⟨l⟩
|
||||
simp
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem isSome_max?_iff {xs : Array α} [Max α] : xs.max?.isSome ↔ xs ≠ #[] := by
|
||||
rcases xs with ⟨l⟩
|
||||
simp
|
||||
|
||||
@[grind .]
|
||||
public theorem isSome_max?_of_mem {xs : Array α} [Max α] {a : α} (h : a ∈ xs) :
|
||||
xs.max?.isSome := by
|
||||
rw [← max?_toList]
|
||||
apply List.isSome_max?_of_mem (a := a)
|
||||
simpa
|
||||
|
||||
public theorem isSome_max?_of_ne_empty [Max α] (xs : Array α) (h : xs ≠ #[]) : xs.max?.isSome := by
|
||||
rw [← max?_toList]
|
||||
apply List.isSome_max?_of_ne_nil
|
||||
simpa
|
||||
|
||||
public theorem max?_mem [Max α] [Std.MaxEqOr α] (xs : Array α) (h : xs.max? = some a) : a ∈ xs := by
|
||||
rw [← max?_toList] at h
|
||||
simpa using List.max?_mem h
|
||||
|
||||
public theorem max?_le_iff [Max α] [LE α] [Std.LawfulOrderSup α] :
|
||||
{xs : Array α} → xs.max? = some a → ∀ {x}, a ≤ x ↔ ∀ b, b ∈ xs → b ≤ x := by
|
||||
intro xs h x
|
||||
simp only [← max?_toList] at h
|
||||
simpa using List.max?_le_iff h
|
||||
|
||||
public theorem max?_eq_some_iff [Max α] [LE α] {xs : Array α} [Std.IsLinearOrder α]
|
||||
[Std.LawfulOrderMax α] : xs.max? = some a ↔ a ∈ xs ∧ ∀ b, b ∈ xs → b ≤ a := by
|
||||
rcases xs with ⟨l⟩
|
||||
simpa using List.max?_eq_some_iff
|
||||
|
||||
public theorem max?_replicate [Max α] [Std.IdempotentOp (max : α → α → α)] {n : Nat} {a : α} :
|
||||
(replicate n a).max? = if n = 0 then none else some a := by
|
||||
rw [← List.toArray_replicate, List.max?_toArray, List.max?_replicate]
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem max?_replicate_of_pos [Max α] [Std.MaxEqOr α] {n : Nat} {a : α} (h : 0 < n) :
|
||||
(replicate n a).max? = some a := by
|
||||
simp [max?_replicate, Nat.ne_of_gt h]
|
||||
|
||||
public theorem foldl_max [Max α] [Std.IdempotentOp (max : α → α → α)] [Std.Associative (max : α → α → α)]
|
||||
{xs : Array α} {a : α} : xs.foldl (init := a) max = max a (xs.max?.getD a) := by
|
||||
rcases xs with ⟨l⟩
|
||||
simp [List.foldl_max]
|
||||
|
||||
/-! ### Lemmas about `min` -/
|
||||
|
||||
@[simp, grind =]
|
||||
theorem min_singleton [Min α] {x : α} :
|
||||
#[x].min (ne_empty_of_size_eq_add_one rfl) = x := by
|
||||
(rfl)
|
||||
|
||||
public theorem min?_eq_some_min [Min α] : {xs : Array α} → (h : xs ≠ #[]) →
|
||||
xs.min? = some (xs.min h)
|
||||
| ⟨a::as⟩, _ => by simp [Array.min, Array.min?]
|
||||
|
||||
public theorem min_eq_get_min? [Min α] : (xs : Array α) → (h : xs ≠ #[]) →
|
||||
xs.min h = xs.min?.get (xs.isSome_min?_of_ne_empty h)
|
||||
| ⟨a::as⟩, _ => by simp [Array.min, Array.min?]
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem get_min? [Min α] {xs : Array α} {h : xs.min?.isSome} :
|
||||
xs.min?.get h = xs.min (isSome_min?_iff.mp h) := by
|
||||
simp [min?_eq_some_min (isSome_min?_iff.mp h)]
|
||||
|
||||
@[grind .]
|
||||
public theorem min_mem [Min α] [Std.MinEqOr α] {xs : Array α} (h : xs ≠ #[]) : xs.min h ∈ xs :=
|
||||
xs.min?_mem (min?_eq_some_min h)
|
||||
|
||||
@[grind .]
|
||||
public theorem min_le_of_mem [Min α] [LE α] [Std.IsLinearOrder α] [Std.LawfulOrderMin α]
|
||||
{xs : Array α} {a : α} (ha : a ∈ xs) :
|
||||
xs.min (ne_empty_of_mem ha) ≤ a :=
|
||||
(Array.min?_eq_some_iff.mp (min?_eq_some_min (ne_empty_of_mem ha))).right a ha
|
||||
|
||||
public protected theorem le_min_iff [Min α] [LE α] [Std.LawfulOrderInf α]
|
||||
{xs : Array α} (h : xs ≠ #[]) : ∀ {x}, x ≤ xs.min h ↔ ∀ b, b ∈ xs → x ≤ b :=
|
||||
le_min?_iff (min?_eq_some_min h)
|
||||
|
||||
public theorem min_eq_iff [Min α] [LE α] {xs : Array α} [Std.IsLinearOrder α] [Std.LawfulOrderMin α]
|
||||
(h : xs ≠ #[]) : xs.min h = a ↔ a ∈ xs ∧ ∀ b, b ∈ xs → a ≤ b := by
|
||||
simpa [min?_eq_some_min h] using (min?_eq_some_iff (xs := xs))
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem min_replicate [Min α] [Std.MinEqOr α] {n : Nat} {a : α} (h : (replicate n a) ≠ #[]) :
|
||||
(replicate n a).min h = a := by
|
||||
have n_pos : 0 < n := by simpa [Nat.ne_zero_iff_zero_lt] using h
|
||||
simpa [min?_eq_some_min h] using (min?_replicate_of_pos (a := a) n_pos)
|
||||
|
||||
public theorem foldl_min_eq_min [Min α] [Std.IdempotentOp (min : α → α → α)]
|
||||
[Std.Associative (min : α → α → α)] {xs : Array α} (h : xs ≠ #[]) {a : α} :
|
||||
xs.foldl min a = min a (xs.min h) := by
|
||||
simpa [min?_eq_some_min h] using foldl_min (xs := xs)
|
||||
|
||||
/-! ### Lemmas about `max` -/
|
||||
|
||||
@[simp, grind =]
|
||||
theorem max_singleton [Max α] {x : α} :
|
||||
#[x].max (ne_empty_of_size_eq_add_one rfl) = x := by
|
||||
(rfl)
|
||||
|
||||
public theorem max?_eq_some_max [Max α] : {xs : Array α} → (h : xs ≠ #[]) →
|
||||
xs.max? = some (xs.max h)
|
||||
| ⟨a::as⟩, _ => by simp [Array.max, Array.max?]
|
||||
|
||||
public theorem max_eq_get_max? [Max α] : (xs : Array α) → (h : xs ≠ #[]) →
|
||||
xs.max h = xs.max?.get (xs.isSome_max?_of_ne_empty h)
|
||||
| ⟨a::as⟩, _ => by simp [Array.max, Array.max?]
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem get_max? [Max α] {xs : Array α} {h : xs.max?.isSome} :
|
||||
xs.max?.get h = xs.max (isSome_max?_iff.mp h) := by
|
||||
simp [max?_eq_some_max (isSome_max?_iff.mp h)]
|
||||
|
||||
@[grind .]
|
||||
public theorem max_mem [Max α] [Std.MaxEqOr α] {xs : Array α} (h : xs ≠ #[]) : xs.max h ∈ xs :=
|
||||
xs.max?_mem (max?_eq_some_max h)
|
||||
|
||||
public protected theorem max_le_iff [Max α] [LE α] [Std.LawfulOrderSup α]
|
||||
{xs : Array α} (h : xs ≠ #[]) : ∀ {x}, xs.max h ≤ x ↔ ∀ b, b ∈ xs → b ≤ x :=
|
||||
max?_le_iff (max?_eq_some_max h)
|
||||
|
||||
public theorem max_eq_iff [Max α] [LE α] {xs : Array α} [Std.IsLinearOrder α] [Std.LawfulOrderMax α]
|
||||
(h : xs ≠ #[]) : xs.max h = a ↔ a ∈ xs ∧ ∀ b, b ∈ xs → b ≤ a := by
|
||||
simpa [max?_eq_some_max h] using (max?_eq_some_iff (xs := xs))
|
||||
|
||||
@[grind .]
|
||||
public theorem le_max_of_mem [Max α] [LE α] [Std.IsLinearOrder α] [Std.LawfulOrderMax α]
|
||||
{xs : Array α} {a : α} (ha : a ∈ xs) :
|
||||
a ≤ xs.max (ne_empty_of_mem ha) :=
|
||||
(Array.max?_eq_some_iff.mp (max?_eq_some_max (ne_empty_of_mem ha))).right a ha
|
||||
|
||||
@[simp, grind =]
|
||||
public theorem max_replicate [Max α] [Std.MaxEqOr α] {n : Nat} {a : α} (h : (replicate n a) ≠ #[]) :
|
||||
(replicate n a).max h = a := by
|
||||
have n_pos : 0 < n := by simpa [Nat.ne_zero_iff_zero_lt] using h
|
||||
simpa [max?_eq_some_max h] using (max?_replicate_of_pos (a := a) n_pos)
|
||||
|
||||
public theorem foldl_max_eq_max [Max α] [Std.IdempotentOp (max : α → α → α)]
|
||||
[Std.Associative (max : α → α → α)] {xs : Array α} (h : xs ≠ #[]) {a : α} :
|
||||
xs.foldl max a = max a (xs.max h) := by
|
||||
simpa [max?_eq_some_max h] using foldl_max (xs := xs)
|
||||
|
||||
end Array
|
||||
@@ -9,7 +9,6 @@ prelude
|
||||
import all Init.Data.List.Control
|
||||
import all Init.Data.Array.Basic
|
||||
public import Init.Data.Array.Attach
|
||||
import Init.Data.Bool
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -1,42 +0,0 @@
|
||||
/-
|
||||
Copyright (c) 2026 Lean FRO, LLC. All rights reserved.
|
||||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Kim Morrison, Sebastian Graf, Paul Reichert
|
||||
-/
|
||||
module
|
||||
|
||||
prelude
|
||||
import Init.Data.List.Nat.Sum
|
||||
public import Init.BinderPredicates
|
||||
public import Init.Data.Array.Basic
|
||||
public import Init.NotationExtra
|
||||
import Init.Data.Array.Lemmas
|
||||
|
||||
public section
|
||||
|
||||
set_option linter.listVariables true -- Enforce naming conventions for `List`/`Array`/`Vector` variables.
|
||||
set_option linter.indexVariables true -- Enforce naming conventions for index variables.
|
||||
|
||||
namespace Array
|
||||
|
||||
protected theorem sum_pos_iff_exists_pos_nat {xs : Array Nat} : 0 < xs.sum ↔ ∃ x ∈ xs, 0 < x := by
|
||||
simp [← sum_toList, List.sum_pos_iff_exists_pos_nat]
|
||||
|
||||
protected theorem sum_eq_zero_iff_forall_eq_nat {xs : Array Nat} :
|
||||
xs.sum = 0 ↔ ∀ x ∈ xs, x = 0 := by
|
||||
simp [← sum_toList, List.sum_eq_zero_iff_forall_eq_nat]
|
||||
|
||||
@[simp] theorem sum_replicate_nat {n : Nat} {a : Nat} : (replicate n a).sum = n * a := by
|
||||
rw [← List.toArray_replicate, List.sum_toArray]
|
||||
simp
|
||||
|
||||
theorem sum_append_nat {as₁ as₂ : Array Nat} : (as₁ ++ as₂).sum = as₁.sum + as₂.sum := by
|
||||
simp [sum_append]
|
||||
|
||||
theorem sum_reverse_nat (xs : Array Nat) : xs.reverse.sum = xs.sum := by
|
||||
simp [sum_reverse]
|
||||
|
||||
theorem sum_eq_foldl_nat {xs : Array Nat} : xs.sum = xs.foldl (init := 0) (· + ·) := by
|
||||
simp only [foldl_eq_foldr_reverse, Nat.add_comm, ← sum_eq_foldr, sum_reverse_nat]
|
||||
|
||||
end Array
|
||||
@@ -7,13 +7,8 @@ module
|
||||
|
||||
prelude
|
||||
import all Init.Data.Array.Basic
|
||||
public import Init.Data.List.OfFn
|
||||
import Init.Data.Array.Bootstrap
|
||||
import Init.Data.Array.Monadic
|
||||
import Init.Data.Fin.Lemmas
|
||||
import Init.Data.List.FinRange
|
||||
import Init.Data.Option.Lemmas
|
||||
import Init.Omega
|
||||
public import Init.Data.Array.Monadic
|
||||
public import Init.Data.List.FinRange
|
||||
|
||||
public section
|
||||
|
||||
@@ -58,11 +53,6 @@ theorem ofFn_succ' {f : Fin (n+1) → α} :
|
||||
apply Array.toList_inj.mp
|
||||
simp [List.ofFn_succ]
|
||||
|
||||
@[simp]
|
||||
theorem ofFn_getElem {xs : Array α} :
|
||||
Array.ofFn (fun i : Fin xs.size => xs[i.val]) = xs := by
|
||||
ext <;> simp
|
||||
|
||||
@[simp]
|
||||
theorem ofFn_eq_empty_iff {f : Fin n → α} : ofFn f = #[] ↔ n = 0 := by
|
||||
rw [← Array.toList_inj]
|
||||
@@ -77,12 +67,6 @@ theorem mem_ofFn {n} {f : Fin n → α} {a : α} : a ∈ ofFn f ↔ ∃ i, f i =
|
||||
· rintro ⟨i, rfl⟩
|
||||
apply mem_of_getElem (i := i) <;> simp
|
||||
|
||||
@[simp, grind =]
|
||||
theorem map_ofFn {f : Fin n → α} {g : α → β} :
|
||||
(Array.ofFn f).map g = Array.ofFn (g ∘ f) := by
|
||||
apply Array.ext_getElem?
|
||||
simp [Array.getElem?_ofFn]
|
||||
|
||||
/-! ### ofFnM -/
|
||||
|
||||
/-- Construct (in a monadic context) an array by applying a monadic function to each index. -/
|
||||
|
||||
@@ -6,13 +6,9 @@ Authors: Kim Morrison
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.List.Nat.Perm
|
||||
import all Init.Data.Array.Basic
|
||||
public import Init.Data.Array.Basic
|
||||
import Init.Data.Array.Lemmas
|
||||
import Init.Data.List.Nat.Perm
|
||||
import Init.Data.List.Nat.TakeDrop
|
||||
import Init.Data.List.Perm
|
||||
import Init.Omega
|
||||
public import Init.Data.Array.Lemmas
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -8,7 +8,6 @@ module
|
||||
prelude
|
||||
public import Init.Data.Vector.Basic
|
||||
public import Init.Data.Ord.Basic
|
||||
import Init.Omega
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -8,16 +8,8 @@ module
|
||||
prelude
|
||||
import all Init.Data.Array.Basic
|
||||
import all Init.Data.Array.OfFn
|
||||
public import Init.BinderPredicates
|
||||
public import Init.Data.Nat.Lemmas
|
||||
public import Init.Ext
|
||||
import Init.ByCases
|
||||
import Init.Data.Array.Count
|
||||
import Init.Data.Array.MapIdx
|
||||
import Init.Data.Array.Zip
|
||||
import Init.Data.List.Find
|
||||
import Init.Data.List.Nat.Range
|
||||
import Init.Data.List.Range
|
||||
public import Init.Data.Array.MapIdx
|
||||
public import Init.Data.Array.Zip
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -7,6 +7,7 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Array.Basic
|
||||
import Init.Data.Array.GetLit
|
||||
public import Init.Data.Slice.Basic
|
||||
|
||||
public section
|
||||
|
||||
@@ -9,7 +9,7 @@ module
|
||||
prelude
|
||||
public import Init.Data.Array.Subarray
|
||||
import all Init.Data.Array.Subarray
|
||||
import Init.Omega
|
||||
public import Init.Omega
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -7,11 +7,7 @@ module
|
||||
|
||||
prelude
|
||||
import all Init.Data.Array.Basic
|
||||
public import Init.Data.Array.Basic
|
||||
public import Init.NotationExtra
|
||||
import Init.Data.Array.Lemmas
|
||||
import Init.Data.List.Nat.TakeDrop
|
||||
import Init.Data.List.TakeDrop
|
||||
public import Init.Data.Array.Lemmas
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -7,14 +7,7 @@ module
|
||||
|
||||
prelude
|
||||
import all Init.Data.Array.Basic
|
||||
public import Init.Control.Lawful
|
||||
public import Init.Data.Function
|
||||
import Init.Data.Array.Lemmas
|
||||
import Init.Data.List.Nat.TakeDrop
|
||||
import Init.Data.List.Zip
|
||||
import Init.Data.Option.Lemmas
|
||||
import Init.Data.Prod
|
||||
import Init.Omega
|
||||
public import Init.Data.Array.TakeDrop
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,8 +6,7 @@ Authors: Mario Carneiro, Markus Himmel
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Grind.Tactics
|
||||
import Init.Data.Bool
|
||||
public import Init.Data.Bool
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,16 +6,8 @@ Authors: Joe Hendrix, Wojciech Nawrocki, Leonardo de Moura, Mario Carneiro, Alex
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Nat.Bitwise.Lemmas
|
||||
public import Init.Data.Int.Bitwise.Basic
|
||||
public import Init.Data.Bool
|
||||
public import Init.Data.Int.DivMod.Basic
|
||||
public import Init.WF
|
||||
import Init.Data.Nat.Bitwise.Lemmas
|
||||
import Init.Data.Nat.Lemmas
|
||||
import Init.Data.Nat.Linear
|
||||
import Init.Meta.Defs
|
||||
import Init.Omega
|
||||
import Init.WFTactics
|
||||
|
||||
@[expose] public section
|
||||
|
||||
@@ -269,7 +261,7 @@ Usually accessed via the `/` operator.
|
||||
-/
|
||||
@[expose]
|
||||
def udiv (x y : BitVec n) : BitVec n :=
|
||||
(x.toNat / y.toNat)#'(by exact Nat.lt_of_le_of_lt (Nat.div_le_self _ _) x.isLt)
|
||||
(x.toNat / y.toNat)#'(Nat.lt_of_le_of_lt (Nat.div_le_self _ _) x.isLt)
|
||||
instance : Div (BitVec n) := ⟨.udiv⟩
|
||||
|
||||
/--
|
||||
@@ -279,7 +271,7 @@ SMT-LIB name: `bvurem`.
|
||||
-/
|
||||
@[expose]
|
||||
def umod (x y : BitVec n) : BitVec n :=
|
||||
(x.toNat % y.toNat)#'(by exact Nat.lt_of_le_of_lt (Nat.mod_le _ _) x.isLt)
|
||||
(x.toNat % y.toNat)#'(Nat.lt_of_le_of_lt (Nat.mod_le _ _) x.isLt)
|
||||
instance : Mod (BitVec n) := ⟨.umod⟩
|
||||
|
||||
/--
|
||||
@@ -523,7 +515,7 @@ Example:
|
||||
-/
|
||||
@[expose]
|
||||
protected def and (x y : BitVec n) : BitVec n :=
|
||||
(x.toNat &&& y.toNat)#'(by exact Nat.and_lt_two_pow x.toNat y.isLt)
|
||||
(x.toNat &&& y.toNat)#'(Nat.and_lt_two_pow x.toNat y.isLt)
|
||||
instance : AndOp (BitVec w) := ⟨.and⟩
|
||||
|
||||
/--
|
||||
@@ -536,7 +528,7 @@ Example:
|
||||
-/
|
||||
@[expose]
|
||||
protected def or (x y : BitVec n) : BitVec n :=
|
||||
(x.toNat ||| y.toNat)#'(by exact Nat.or_lt_two_pow x.isLt y.isLt)
|
||||
(x.toNat ||| y.toNat)#'(Nat.or_lt_two_pow x.isLt y.isLt)
|
||||
instance : OrOp (BitVec w) := ⟨.or⟩
|
||||
|
||||
/--
|
||||
@@ -549,7 +541,7 @@ Example:
|
||||
-/
|
||||
@[expose]
|
||||
protected def xor (x y : BitVec n) : BitVec n :=
|
||||
(x.toNat ^^^ y.toNat)#'(by exact Nat.xor_lt_two_pow x.isLt y.isLt)
|
||||
(x.toNat ^^^ y.toNat)#'(Nat.xor_lt_two_pow x.isLt y.isLt)
|
||||
instance : XorOp (BitVec w) := ⟨.xor⟩
|
||||
|
||||
/--
|
||||
|
||||
@@ -6,7 +6,7 @@ Authors: Joe Hendrix, Wojciech Nawrocki, Leonardo de Moura, Mario Carneiro, Alex
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Grind.Tactics
|
||||
public import Init.Data.Fin.Basic
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -7,20 +7,12 @@ module
|
||||
|
||||
prelude
|
||||
import all Init.Data.Nat.Bitwise.Basic
|
||||
public import Init.Data.Int.DivMod
|
||||
import all Init.Data.Int.DivMod
|
||||
import all Init.Data.BitVec.Basic
|
||||
public import Init.Data.BitVec.Decidable
|
||||
public import Init.Data.BitVec.Folds
|
||||
public import Init.BinderPredicates
|
||||
public import Init.Data.BitVec.Lemmas
|
||||
public import Init.Data.Nat.Lemmas
|
||||
import Init.ByCases
|
||||
import Init.Data.BitVec.Bootstrap
|
||||
import Init.Data.BitVec.Decidable
|
||||
import Init.Data.Int.Pow
|
||||
import Init.Data.Nat.Div.Lemmas
|
||||
import Init.Data.Nat.Mod
|
||||
import Init.Data.Nat.Simproc
|
||||
import Init.TacticsExtra
|
||||
import Init.BinderPredicates
|
||||
|
||||
@[expose] public section
|
||||
|
||||
@@ -2241,7 +2233,7 @@ def aandRec (x y : BitVec w) (s : Nat) (hs : s < w) : Bool :=
|
||||
-/
|
||||
def resRec (x y : BitVec w) (s : Nat) (hs : s < w) (hslt : 0 < s) : Bool :=
|
||||
match hs0 : s with
|
||||
| 0 => False.elim (by omega)
|
||||
| 0 => by omega
|
||||
| s' + 1 =>
|
||||
match hs' : s' with
|
||||
| 0 => aandRec x y 1 (by omega)
|
||||
|
||||
@@ -8,10 +8,8 @@ module
|
||||
prelude
|
||||
public import Init.Data.BitVec.Basic
|
||||
import all Init.Data.BitVec.Basic
|
||||
import Init.Data.Int.Bitwise.Lemmas
|
||||
import Init.Ext
|
||||
import Init.ByCases
|
||||
import Init.Data.Nat.Div.Lemmas
|
||||
import Init.TacticsExtra
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -7,11 +7,8 @@ Authors: Joe Hendrix, Harun Khan, Alex Keizer, Abdalrhman M Mohamed, Siddharth B
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.BitVec.Bootstrap
|
||||
import Init.Ext
|
||||
public import Init.Data.BitVec.Basic
|
||||
public import Init.PropLemmas
|
||||
import Init.Classical
|
||||
import Init.Data.BitVec.Bootstrap
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -7,10 +7,8 @@ module
|
||||
|
||||
prelude
|
||||
import all Init.Data.BitVec.Basic
|
||||
public import Init.Data.BitVec.Basic
|
||||
public import Init.Ext
|
||||
import Init.Data.BitVec.Lemmas
|
||||
import Init.Data.Fin.Iterate
|
||||
public import Init.Data.BitVec.Lemmas
|
||||
public import Init.Data.Fin.Iterate
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -9,20 +9,11 @@ prelude
|
||||
import all Init.Data.BitVec.Basic
|
||||
import all Init.Data.BitVec.BasicAux
|
||||
public import Init.Data.Fin.Lemmas
|
||||
public import Init.Data.Int.Bitwise.Lemmas
|
||||
public import Init.Data.Int.LemmasAux
|
||||
public import Init.Data.BitVec.Bootstrap
|
||||
public import Init.Data.List.BasicAux
|
||||
import Init.Data.List.Lemmas
|
||||
public import Init.Data.BitVec.Basic
|
||||
import Init.ByCases
|
||||
import Init.Data.BitVec.Bootstrap
|
||||
import Init.Data.Int.Bitwise.Lemmas
|
||||
import Init.Data.Int.DivMod.Lemmas
|
||||
import Init.Data.Int.LemmasAux
|
||||
import Init.Data.Int.Pow
|
||||
import Init.Data.Nat.Div.Lemmas
|
||||
import Init.Data.Nat.MinMax
|
||||
import Init.Data.Nat.Mod
|
||||
import Init.Data.Nat.Simproc
|
||||
import Init.TacticsExtra
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -636,7 +636,7 @@ def boolPredToPred : Coe (α → Bool) (α → Prop) where
|
||||
This should not be turned on globally as an instance because it degrades performance in Mathlib,
|
||||
but may be used locally.
|
||||
-/
|
||||
@[expose, instance_reducible] def boolRelToRel : Coe (α → α → Bool) (α → α → Prop) where
|
||||
@[expose] def boolRelToRel : Coe (α → α → Bool) (α → α → Prop) where
|
||||
coe r := fun a b => Eq (r a b) true
|
||||
|
||||
/-! ### subtypes -/
|
||||
|
||||
@@ -6,12 +6,9 @@ Author: Leonardo de Moura
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.UInt.Basic
|
||||
import all Init.Data.UInt.BasicAux
|
||||
public import Init.Data.Array.DecidableEq
|
||||
public import Init.Data.List.Attach
|
||||
import Init.Data.Array.Bootstrap
|
||||
import Init.Data.Array.Lemmas
|
||||
import Init.Omega
|
||||
public import Init.Data.Array.Extract
|
||||
|
||||
set_option doc.verso true
|
||||
|
||||
|
||||
@@ -7,8 +7,7 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Data.ByteArray.Basic
|
||||
import Init.Data.String.Defs
|
||||
import Init.Data.UInt.Basic
|
||||
import Init.Data.String.Basic
|
||||
|
||||
set_option doc.verso true
|
||||
|
||||
|
||||
@@ -7,11 +7,6 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Data.ByteArray.Basic
|
||||
import Init.ByCases
|
||||
import Init.Data.Array.Bootstrap
|
||||
import Init.Data.Array.Extract
|
||||
import Init.Data.Array.Lemmas
|
||||
import Init.Omega
|
||||
|
||||
public section
|
||||
|
||||
@@ -291,41 +286,4 @@ theorem extract_zero_max_size {a : ByteArray} {i : Nat} : a.extract 0 (max i a.s
|
||||
ext1
|
||||
simp [Nat.le_max_right]
|
||||
|
||||
theorem append_eq_append_iff_of_size_eq_left {ws xs ys zs : ByteArray} (h : ws.size = xs.size) :
|
||||
ws ++ ys = xs ++ zs ↔ ws = xs ∧ ys = zs := by
|
||||
simpa [ByteArray.ext_iff] using Array.append_eq_append_iff_of_size_eq_left h
|
||||
|
||||
theorem append_eq_append_iff_of_size_eq_right {ws xs ys zs : ByteArray} (h : ys.size = zs.size) :
|
||||
ws ++ ys = xs ++ zs ↔ ws = xs ∧ ys = zs := by
|
||||
simpa [ByteArray.ext_iff] using Array.append_eq_append_iff_of_size_eq_right h
|
||||
|
||||
@[simp]
|
||||
theorem size_push {bs : ByteArray} {b : UInt8} : (bs.push b).size = bs.size + 1 := by
|
||||
rw [ByteArray.size, data_push, Array.size_push, ← ByteArray.size]
|
||||
|
||||
theorem ext_getElem {a b : ByteArray} (h₀ : a.size = b.size) (h : ∀ (i : Nat) hi hi', a[i]'hi = b[i]'hi') : a = b := by
|
||||
rw [ByteArray.ext_iff]
|
||||
apply Array.ext (by simpa using h₀)
|
||||
simpa [← ByteArray.getElem_eq_getElem_data]
|
||||
|
||||
@[simp]
|
||||
theorem _root_.List.toByteArray_inj {l l' : List UInt8} : l.toByteArray = l'.toByteArray ↔ l = l' := by
|
||||
simp [ByteArray.ext_iff]
|
||||
|
||||
theorem extract_eq_extract_iff_getElem {as bs : ByteArray} {i j len : Nat}
|
||||
(hi : i + len ≤ as.size) (hj : j + len ≤ bs.size) :
|
||||
as.extract i (i + len) = bs.extract j (j + len) ↔ ∀ k, (hk : k < len) → as[i + k] = bs[j + k] := by
|
||||
induction len with
|
||||
| zero => simp
|
||||
| succ len ih =>
|
||||
rw [← Nat.add_assoc, ← Nat.add_assoc, ByteArray.extract_eq_extract_append_extract (i + len) (by omega) (by omega),
|
||||
ByteArray.extract_eq_extract_append_extract (a := bs) (j + len) (by omega) (by omega),
|
||||
ByteArray.append_eq_append_iff_of_size_eq_left (by simp; omega), ih (by omega) (by omega),
|
||||
ByteArray.extract_add_one (by omega), ByteArray.extract_add_one (by omega)]
|
||||
simp only [List.toByteArray_inj, List.cons.injEq, and_true]
|
||||
refine ⟨fun ⟨h, h'⟩ k hk => ?_, fun h => ⟨fun k hk => h k (by omega), h len (by omega)⟩⟩
|
||||
by_cases hk' : k < len
|
||||
· exact h k hk'
|
||||
· exact (by omega : k = len) ▸ h'
|
||||
|
||||
end ByteArray
|
||||
|
||||
@@ -7,7 +7,6 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Data.UInt.BasicAux
|
||||
import Init.Data.Nat.Div.Basic
|
||||
|
||||
@[expose] public section
|
||||
|
||||
|
||||
@@ -7,9 +7,7 @@ module
|
||||
|
||||
prelude
|
||||
import all Init.Data.Char.Basic
|
||||
public import Init.Data.Char.Basic
|
||||
public import Init.Ext
|
||||
import Init.Data.UInt.Lemmas
|
||||
public import Init.Data.UInt.Lemmas
|
||||
|
||||
public section
|
||||
|
||||
@@ -50,7 +48,6 @@ instance ltTrans : Trans (· < · : Char → Char → Prop) (· < ·) (· < ·)
|
||||
trans := Char.lt_trans
|
||||
|
||||
-- This instance is useful while setting up instances for `String`.
|
||||
@[instance_reducible]
|
||||
def notLTTrans : Trans (¬ · < · : Char → Char → Prop) (¬ · < ·) (¬ · < ·) where
|
||||
trans h₁ h₂ := by simpa using Char.le_trans (by simpa using h₂) (by simpa using h₁)
|
||||
|
||||
|
||||
@@ -8,9 +8,7 @@ module
|
||||
prelude
|
||||
public import Init.Data.Char.Basic
|
||||
import Init.Data.Char.Lemmas
|
||||
public import Init.Data.Order.Classes
|
||||
import Init.Data.Order.Factories
|
||||
import Init.PropLemmas
|
||||
public import Init.Data.Order.Factories
|
||||
|
||||
open Std
|
||||
|
||||
|
||||
@@ -7,18 +7,11 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Fin.OverflowAware
|
||||
public import Init.Data.UInt.Basic
|
||||
public import Init.Data.Function
|
||||
import Init.Data.Char.Lemmas
|
||||
import Init.Data.Char.Order
|
||||
import Init.Grind
|
||||
public import Init.Data.Char.Basic
|
||||
import Init.ByCases
|
||||
import Init.Data.Fin.Lemmas
|
||||
import Init.Data.Int.OfNat
|
||||
import Init.Data.Nat.Linear
|
||||
import Init.Data.Nat.Simproc
|
||||
import Init.Data.Option.Lemmas
|
||||
import Init.Data.UInt.Lemmas
|
||||
|
||||
/-!
|
||||
# Bijection between `Char` and `Fin Char.numCodePoints`
|
||||
|
||||
@@ -6,17 +6,9 @@ Authors: Kim Morrison, Robin Arnez
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Rat.Lemmas
|
||||
import Init.Data.Int.Bitwise.Lemmas
|
||||
public import Init.Data.Int.Bitwise.Basic
|
||||
public import Init.Data.Order.Classes
|
||||
public import Init.Data.Rat.Basic
|
||||
import Init.ByCases
|
||||
import Init.Data.Int.DivMod.Lemmas
|
||||
import Init.Data.Int.Pow
|
||||
import Init.Data.Nat.Bitwise.Lemmas
|
||||
import Init.Data.Option.Lemmas
|
||||
import Init.Data.Rat.Lemmas
|
||||
import Init.Omega
|
||||
import Init.Hints
|
||||
|
||||
/-!
|
||||
# The dyadic rationals
|
||||
|
||||
@@ -8,12 +8,9 @@ module
|
||||
prelude
|
||||
public import Init.Data.Dyadic.Basic
|
||||
public import Init.Grind.Ordered.Ring
|
||||
import Init.Data.Rat.Lemmas
|
||||
|
||||
/-! # Internal `grind` algebra instances for `Dyadic`. -/
|
||||
|
||||
@[expose] public section
|
||||
|
||||
open Lean.Grind
|
||||
|
||||
namespace Dyadic
|
||||
|
||||
@@ -4,17 +4,14 @@ Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Kim Morrison
|
||||
-/
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Dyadic.Basic
|
||||
import Init.Data.Rat.Lemmas
|
||||
import Init.Data.Dyadic.Round
|
||||
import Init.Grind.Ordered.Ring
|
||||
|
||||
/-!
|
||||
# Inversion for dyadic numbers
|
||||
-/
|
||||
|
||||
@[expose] public section
|
||||
|
||||
namespace Dyadic
|
||||
|
||||
/--
|
||||
|
||||
@@ -7,15 +7,9 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Dyadic.Basic
|
||||
import Init.Data.Dyadic.Instances
|
||||
import all Init.Data.Dyadic.Instances
|
||||
import Init.Grind.Ordered.Rat
|
||||
import Init.Grind.Ordered.Field
|
||||
import Init.ByCases
|
||||
import Init.Data.Int.Bitwise.Lemmas
|
||||
import Init.Data.Int.DivMod.Lemmas
|
||||
import Init.Data.Int.Pow
|
||||
import Init.Data.Option.Lemmas
|
||||
import Init.Omega
|
||||
|
||||
namespace Dyadic
|
||||
|
||||
|
||||
@@ -7,8 +7,6 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Nat.Bitwise.Basic
|
||||
public import Init.Data.Nat.Basic
|
||||
import Init.Data.Nat.Div.Basic
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,9 +6,7 @@ Authors: Markus Himmel
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Fin.Basic
|
||||
import Init.Data.Nat.Bitwise.Lemmas
|
||||
import Init.Data.Nat.Div.Basic
|
||||
public import Init.Data.Nat.Bitwise
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -7,12 +7,7 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Control.Lawful.Basic
|
||||
public import Init.Ext
|
||||
import Init.Data.Fin.Lemmas
|
||||
import Init.Data.Nat.Lemmas
|
||||
import Init.Omega
|
||||
import Init.TacticsExtra
|
||||
import Init.WFTactics
|
||||
public import Init.Data.Fin.Lemmas
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,9 +6,7 @@ Authors: Joe Hendrix
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Fin.Basic
|
||||
import Init.PropLemmas
|
||||
import Init.WFTactics
|
||||
public import Init.PropLemmas
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,15 +6,9 @@ Authors: Mario Carneiro, Leonardo de Moura
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Nat.Lemmas
|
||||
public import Init.Ext
|
||||
public import Init.Data.Nat.Div.Basic
|
||||
public import Init.Data.Order.Classes
|
||||
public import Init.NotationExtra
|
||||
import Init.ByCases
|
||||
import Init.Data.Nat.Lemmas
|
||||
import Init.Data.Nat.Linear
|
||||
import Init.Omega
|
||||
import Init.TacticsExtra
|
||||
import Init.Data.Order.Lemmas
|
||||
|
||||
@[expose] public section
|
||||
|
||||
@@ -124,7 +118,7 @@ For example, for `x : Fin k` and `n : Nat`,
|
||||
it causes `x < n` to be elaborated as `x < ↑n` rather than `↑x < n`,
|
||||
silently introducing wraparound arithmetic.
|
||||
-/
|
||||
@[expose, instance_reducible]
|
||||
@[expose]
|
||||
def instNatCast (n : Nat) [NeZero n] : NatCast (Fin n) where
|
||||
natCast a := Fin.ofNat n a
|
||||
|
||||
@@ -146,7 +140,7 @@ This is not a global instance, but may be activated locally via `open Fin.IntCas
|
||||
|
||||
See the doc-string for `Fin.NatCast.instNatCast` for more details.
|
||||
-/
|
||||
@[expose, instance_reducible]
|
||||
@[expose]
|
||||
def instIntCast (n : Nat) [NeZero n] : IntCast (Fin n) where
|
||||
intCast := Fin.intCast
|
||||
|
||||
@@ -992,7 +986,7 @@ For the induction:
|
||||
let rec go (j : Nat) (h) (h2 : i ≤ j) (x : motive ⟨j, h⟩) : motive i :=
|
||||
if hi : i.1 = j then _root_.cast (by simp [← hi]) x
|
||||
else match j with
|
||||
| 0 => False.elim (by omega)
|
||||
| 0 => by omega
|
||||
| j + 1 => go j (by omega) (by omega) (cast ⟨j, by omega⟩ x)
|
||||
go _ _ (by omega) last
|
||||
|
||||
|
||||
@@ -6,8 +6,7 @@ Authors: Henrik Böving
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Prelude
|
||||
import Init.Data.Nat.Log2
|
||||
public import Init.Data.Nat.Log2
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -8,7 +8,7 @@ module
|
||||
prelude
|
||||
public import Init.Data.Float
|
||||
import Init.Ext
|
||||
public import Init.GetElem
|
||||
public import Init.Data.Array.DecidableEq
|
||||
|
||||
public section
|
||||
universe u
|
||||
|
||||
@@ -6,10 +6,9 @@ Author: Leonardo de Moura
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Control.State
|
||||
public import Init.Data.Int.Basic
|
||||
public import Init.Data.String.Bootstrap
|
||||
import Init.Control.State
|
||||
import Init.Data.Nat.Bitwise.Basic
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,9 +6,8 @@ Author: Leonardo de Moura
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Array.Basic
|
||||
import Init.Data.String.Search
|
||||
public import Init.Data.ToString.Basic
|
||||
import Init.Data.Iterators.Consumers.Collect
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,8 +6,8 @@ Author: Leonardo de Moura
|
||||
module
|
||||
|
||||
prelude
|
||||
public meta import Init.Meta
|
||||
public import Init.Notation
|
||||
public import Init.Data.Format.Basic
|
||||
public import Init.Data.ToString.Macro
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,10 +6,10 @@ Author: Leonardo de Moura
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Format.Macro
|
||||
public import Init.Data.Format.Instances
|
||||
public import Init.Meta
|
||||
import Init.Data.ToString.Name
|
||||
public import Init.Data.ToString.Basic
|
||||
import Init.Data.Format.Instances
|
||||
import Init.Data.Format.Macro
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,8 +6,7 @@ Authors: Leonardo de Moura
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.String.PosRaw
|
||||
public import Init.Data.UInt.Basic
|
||||
public import Init.Data.String.Basic
|
||||
|
||||
public section
|
||||
universe u
|
||||
|
||||
@@ -9,7 +9,7 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Cast
|
||||
public import Init.Data.Nat.Basic
|
||||
public import Init.Data.Nat.Div.Basic
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -6,16 +6,10 @@ Authors: Siddharth Bhat, Jeremy Avigad
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Nat.Bitwise.Lemmas
|
||||
public import Init.Data.Int.Bitwise.Basic
|
||||
import all Init.Data.Int.Bitwise.Basic
|
||||
public import Init.Data.Int.DivMod.Basic
|
||||
import Init.ByCases
|
||||
import Init.Data.Int.DivMod.Lemmas
|
||||
import Init.Data.Int.Pow
|
||||
import Init.Data.Nat.Bitwise.Lemmas
|
||||
import Init.Data.Nat.Lemmas
|
||||
import Init.Omega
|
||||
import Init.RCases
|
||||
public import Init.Data.Int.DivMod.Lemmas
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -8,6 +8,7 @@ module
|
||||
prelude
|
||||
public import Init.Data.Ord.Basic
|
||||
import all Init.Data.Ord.Basic
|
||||
public import Init.Data.Int.Order
|
||||
import Init.Omega
|
||||
|
||||
public section
|
||||
|
||||
Some files were not shown because too many files have changed in this diff Show More
Reference in New Issue
Block a user