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6 Commits

Author SHA1 Message Date
Joscha
978f81d363 chore: bump patch version to 1 2026-04-14 14:52:44 +02:00
Garmelon
76dea4d656 chore: stop using cached namespace.so checkout (#12714)
The namespace cache volumes were running out of space and preventing CI
from running.
2026-04-14 14:52:44 +02:00
Henrik Böving
1df9f3b862 fix: file read buffer overflow (#13392)
This PR fixes a heap buffer overflow in `lean_io_prim_handle_read` that
was triggered through an
integer overflow in the size computation of an allocation. In addition
it places several checked
arithmetic operations on all relevant allocation paths to have potential
future overflows be turned
into crashes instead. The offending code now throws an out of memory
error instead.

Closes: #13388
2026-04-14 14:11:30 +02:00
Kim Morrison
7e01a1bf5c doc: document release notes process and add guard check
This PR documents the release notes writing process in detail and adds a guard
check to release_checklist.py to ensure release notes are created for -rc1
releases before proceeding with downstream repository updates.

Changes:
- doc/dev/release_checklist.md: Expanded "Writing the release notes" section
  with detailed steps for generating, reviewing, and formatting release notes
  in Verso format
- script/release_checklist.py: Added check_release_notes_file_exists() to
  verify the release notes file exists in reference-manual repository
- .claude/commands/release.md: Added "Release Notes" section explaining the
  process for creating release notes during -rc1 releases

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
2026-01-26 18:11:39 +11:00
Kim Morrison
e18f78acfb chore: add plausible as verso dependency in release_repos.yml 2026-01-26 13:54:16 +11:00
Kim Morrison
3b0f286219 chore: set LEAN_VERSION_IS_RELEASE to 1 for v4.28.0 release 2026-01-26 11:40:44 +11:00
3475 changed files with 11086 additions and 27394 deletions

View File

@@ -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.

View File

@@ -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: |

View File

@@ -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

View File

@@ -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

View File

@@ -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: |

View File

@@ -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)

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@@ -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

View File

@@ -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

View File

@@ -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

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@@ -7,8 +7,7 @@ Authors: Joachim Breitner
module
prelude
public import Init.Prelude
import Init.Tactics
public import Init.Tactics
public section

View File

@@ -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

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@@ -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

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@@ -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)

View File

@@ -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

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@@ -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]

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@@ -7,7 +7,6 @@ module
prelude
public import Init.Data.ToString.Basic
public import Init.Control.State
public section
universe u v

View File

@@ -7,7 +7,6 @@ module
prelude
public import Init.Control.Lawful.Basic
import Init.SimpLemmas
public section

View File

@@ -8,6 +8,7 @@ The identity Monad.
module
prelude
public import Init.Core
public import Init.Control.MonadAttach
public section

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@@ -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

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@@ -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)

View File

@@ -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

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@@ -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

View File

@@ -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]

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@@ -6,7 +6,7 @@ Authors: Quang Dao
module
prelude
public import Init.Notation
public import Init.Control.Basic
public section

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@@ -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

View File

@@ -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]

View File

@@ -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

View File

@@ -7,7 +7,7 @@ module
prelude
public import Init.Data.Option.Basic
public import Init.Control.MonadAttach
public import Init.Control.Except
public section

View File

@@ -7,7 +7,6 @@ module
prelude
public import Init.Control.Lawful.Basic
public import Init.Ext
public section

View File

@@ -9,7 +9,6 @@ module
prelude
public import Init.System.ST
public import Init.Control.Reader
public section

View File

@@ -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.

View File

@@ -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 : ααα) : 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

View File

@@ -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

View File

@@ -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

View File

@@ -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

View File

@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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.

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@@ -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

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@@ -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

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@@ -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

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@@ -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]
{as 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}

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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. -/

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@@ -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

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@@ -8,7 +8,6 @@ module
prelude
public import Init.Data.Vector.Basic
public import Init.Data.Ord.Basic
import Init.Omega
public section

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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
/--

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@@ -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

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@@ -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)

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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 -/

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@@ -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

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@@ -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

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@@ -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

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@@ -7,7 +7,6 @@ module
prelude
public import Init.Data.UInt.BasicAux
import Init.Data.Nat.Div.Basic
@[expose] public section

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@@ -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)

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@@ -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

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@@ -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`

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@@ -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

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@@ -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

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@@ -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
/--

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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@@ -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

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