Compare commits

..

2 Commits

Author SHA1 Message Date
Leonardo de Moura
90c6034cfc proto expr experiment 2022-08-22 08:55:27 -07:00
Leonardo de Moura
a5761e0166 checkpoint 2022-08-22 08:53:25 -07:00
4716 changed files with 30958 additions and 140652 deletions

3
.gitattributes vendored
View File

@@ -1,6 +1,3 @@
*.lean text eol=lf
*.expected.out -text
RELEASES.md merge=union
stage0/** binary linguist-generated
# The following file is often manually edited, so do show it in diffs
stage0/src/stdlib_flags.h -binary -linguist-generated

30
.github/ISSUE_TEMPLATE.md vendored Normal file
View File

@@ -0,0 +1,30 @@
### Prerequisites
* [ ] Put an X between the brackets on this line if you have done all of the following:
* Checked that your issue isn't already [filed](https://github.com/leanprover/lean4/issues).
* Reduced the issue to a self-contained, reproducible test case.
### Description
[Description of the issue]
### Steps to Reproduce
1. [First Step]
2. [Second Step]
3. [and so on...]
**Expected behavior:** [What you expect to happen]
**Actual behavior:** [What actually happens]
**Reproduces how often:** [What percentage of the time does it reproduce?]
### Versions
You can get this information from copy and pasting the output of `lean --version`,
please include the OS and what version of the OS you're running.
### Additional Information
Any additional information, configuration or data that might be necessary to reproduce the issue.

View File

@@ -1,45 +0,0 @@
---
name: Bug report
about: Create a bug report
title: ''
labels: bug
assignees: ''
---
### Prerequisites
* [ ] Put an X between the brackets on this line if you have done all of the following:
* Check that your issue is not already [filed](https://github.com/leanprover/lean4/issues).
* Reduce the issue to a minimal, self-contained, reproducible test case. Avoid dependencies to mathlib4 or std4.
### Description
[Clear and concise description of the issue]
### Context
[Broader context that the issue occured in. If there was any prior discussion on [the Lean Zulip](https://leanprover.zulipchat.com), link it here as well.]
### Steps to Reproduce
1.
2.
3.
**Expected behavior:** [Clear and concise description of what you expect to happen]
**Actual behavior:** [Clear and concise description of what actually happens]
### Versions
[Output of `#eval Lean.versionString` or of `lean --version` in the folder that the issue occured in]
[OS version]
### Additional Information
[Additional information, configuration or data that might be necessary to reproduce the issue]
### Impact
Add :+1: to [issues you consider important](https://github.com/leanprover/lean4/issues?q=is%3Aissue+is%3Aopen+sort%3Areactions-%2B1-desc). If others are impacted by this issue, please ask them to add :+1: to it.

View File

@@ -1,26 +0,0 @@
---
name: Request for comments
about: Create a feature proposal
title: 'RFC: '
labels: RFC
assignees: ''
---
### Proposal
Clear and detailed description of the proposal. Consider the following questions:
- **User Experience**: How does this feature improve the user experience?
- **Beneficiaries**: Which Lean users and projects benefit most from this feature/change?
- **Maintainability**: Will this change streamline code maintenance or simplify its structure?
### Community Feedback
Ideas should be discussed on [the Lean Zulip](https://leanprover.zulipchat.com) prior to submitting a proposal. Summarize all prior discussions and link them here.
### Impact
Add :+1: to [issues you consider important](https://github.com/leanprover/lean4/issues?q=is%3Aissue+is%3Aopen+sort%3Areactions-%2B1-desc). If others benefit from the changes in this proposal being added, please ask them to add :+1: to it.

View File

@@ -1,14 +0,0 @@
# Read this section before submitting
* Ensure your PR follows the [External Contribution Guidelines](https://github.com/leanprover/lean4/blob/master/CONTRIBUTING.md).
* Please make sure the PR has excellent documentation and tests. If we label it `missing documentation` or `missing tests` then it needs fixing!
* Include the link to your `RFC` or `bug` issue in the description.
* If the issue does not already have approval from a developer, submit the PR as draft.
* The PR title/description will become the commit message. Keep it up-to-date as the PR evolves.
* If you rebase your PR onto `nightly-with-mathlib` then CI will test Mathlib against your PR.
* You can manage the `awaiting-review`, `awaiting-author`, and `WIP` labels yourself, by writing a comment containing one of these labels on its own line.
* Remove this section, up to and including the `---` before submitting.
---
Closes #0000 (`RFC` or `bug` issue number fixed by this PR, if any)

View File

@@ -1,22 +0,0 @@
name: Actionlint
on:
push:
branches:
- 'master'
paths:
- '.github/**'
pull_request:
paths:
- '.github/**'
merge_group:
jobs:
actionlint:
runs-on: ubuntu-latest
steps:
- name: Checkout
uses: actions/checkout@v3
- name: actionlint
uses: raven-actions/actionlint@v1
with:
pyflakes: false # we do not use python scripts

View File

@@ -1,26 +0,0 @@
name: Backport
on:
pull_request_target:
types:
- closed
- labeled
jobs:
backport:
name: Backport
runs-on: ubuntu-latest
# Only react to merged PRs for security reasons.
# See https://docs.github.com/en/actions/using-workflows/events-that-trigger-workflows#pull_request_target.
if: >
github.event.pull_request.merged
&& (
github.event.action == 'closed'
|| (
github.event.action == 'labeled'
&& contains(github.event.label.name, 'backport')
)
)
steps:
- uses: tibdex/backport@v2
with:
github_token: ${{ secrets.GITHUB_TOKEN }}

View File

@@ -1,26 +0,0 @@
name: Check for modules that should use `prelude`
on: [pull_request]
jobs:
check-prelude:
runs-on: ubuntu-latest
steps:
- name: Checkout
uses: actions/checkout@v4
with:
# the default is to use a virtual merge commit between the PR and master: just use the PR
ref: ${{ github.event.pull_request.head.sha }}
sparse-checkout: src/Lean
- name: Check Prelude
run: |
failed_files=""
while IFS= read -r -d '' file; do
if ! grep -q "^prelude$" "$file"; then
failed_files="$failed_files$file\n"
fi
done < <(find src/Lean -name '*.lean' -print0)
if [ -n "$failed_files" ]; then
echo -e "The following files should use 'prelude':\n$failed_files"
exit 1
fi

View File

@@ -6,253 +6,107 @@ on:
tags:
- '*'
pull_request:
types: [opened, synchronize, reopened, labeled]
merge_group:
branches:
- master
schedule:
- cron: '0 7 * * *' # 8AM CET/11PM PT
concurrency:
group: ${{ github.workflow }}-${{ github.ref }}-${{ github.event_name }}
cancel-in-progress: true
jobs:
# This job determines various settings for the following CI runs; see the `outputs` for details
configure:
set-nightly:
# don't schedule nightlies on forks
if: github.event_name == 'schedule' && github.repository == 'leanprover/lean4'
runs-on: ubuntu-latest
outputs:
# Should we run only a quick CI? Yes on a pull request without the full-ci label
quick: ${{ steps.set-quick.outputs.quick }}
# The build matrix, dynamically generated here
matrix: ${{ steps.set-matrix.outputs.result }}
# Should we make a nightly release? If so, this output contains the lean version string, else it is empty
nightly: ${{ steps.set-nightly.outputs.nightly }}
# Should this be the CI for a tagged release?
# Yes only if a tag is pushed to the `leanprover` repository, and the tag is "v" followed by a valid semver.
# It sets `set-release.outputs.RELEASE_TAG` to the tag
# and sets `set-release.outputs.{LEAN_VERSION_MAJOR,LEAN_VERSION_MINOR,LEAN_VERSION_PATCH,LEAN_SPECIAL_VERSION_DESC}`
# to the semver components parsed via regex.
LEAN_VERSION_MAJOR: ${{ steps.set-release.outputs.LEAN_VERSION_MAJOR }}
LEAN_VERSION_MINOR: ${{ steps.set-release.outputs.LEAN_VERSION_MINOR }}
LEAN_VERSION_PATCH: ${{ steps.set-release.outputs.LEAN_VERSION_PATCH }}
LEAN_SPECIAL_VERSION_DESC: ${{ steps.set-release.outputs.LEAN_SPECIAL_VERSION_DESC }}
RELEASE_TAG: ${{ steps.set-release.outputs.RELEASE_TAG }}
nightly: ${{ steps.set.outputs.nightly }}
steps:
- name: Run quick CI?
id: set-quick
env:
quick: ${{
github.event_name == 'pull_request' && !contains( github.event.pull_request.labels.*.name, 'full-ci')
}}
run: |
echo "quick=${{env.quick}}" >> "$GITHUB_OUTPUT"
- name: Configure build matrix
id: set-matrix
uses: actions/github-script@v7
with:
script: |
const quick = ${{ steps.set-quick.outputs.quick }};
console.log(`quick: ${quick}`)
let matrix = [
{
// portable release build: use channel with older glibc (2.27)
"name": "Linux LLVM",
"os": "ubuntu-latest",
"release": false,
"quick": false,
"shell": "nix develop .#oldGlibc -c bash -euxo pipefail {0}",
"llvm-url": "https://github.com/leanprover/lean-llvm/releases/download/15.0.1/lean-llvm-x86_64-linux-gnu.tar.zst",
"prepare-llvm": "../script/prepare-llvm-linux.sh lean-llvm*",
"binary-check": "ldd -v",
// foreign code may be linked against more recent glibc
// reverse-ffi needs to be updated to link to LLVM libraries
"CTEST_OPTIONS": "-E 'foreign|leanlaketest_reverse-ffi'",
"CMAKE_OPTIONS": "-DLLVM=ON -DLLVM_CONFIG=${GITHUB_WORKSPACE}/build/llvm-host/bin/llvm-config"
},
{
"name": "Linux release",
"os": "ubuntu-latest",
"release": true,
"quick": true,
"shell": "nix develop .#oldGlibc -c bash -euxo pipefail {0}",
"llvm-url": "https://github.com/leanprover/lean-llvm/releases/download/15.0.1/lean-llvm-x86_64-linux-gnu.tar.zst",
"prepare-llvm": "../script/prepare-llvm-linux.sh lean-llvm*",
"binary-check": "ldd -v",
// foreign code may be linked against more recent glibc
"CTEST_OPTIONS": "-E 'foreign'"
},
{
"name": "Linux",
"os": "ubuntu-latest",
"check-stage3": true,
"test-speedcenter": true,
"quick": false,
},
{
"name": "Linux Debug",
"os": "ubuntu-latest",
"quick": false,
"CMAKE_OPTIONS": "-DCMAKE_BUILD_TYPE=Debug",
// exclude seriously slow tests
"CTEST_OPTIONS": "-E 'interactivetest|leanpkgtest|laketest|benchtest'"
},
// TODO: suddenly started failing in CI
/*{
"name": "Linux fsanitize",
"os": "ubuntu-latest",
"quick": false,
// turn off custom allocator & symbolic functions to make LSAN do its magic
"CMAKE_OPTIONS": "-DLEAN_EXTRA_CXX_FLAGS=-fsanitize=address,undefined -DLEANC_EXTRA_FLAGS='-fsanitize=address,undefined -fsanitize-link-c++-runtime' -DSMALL_ALLOCATOR=OFF -DBSYMBOLIC=OFF",
// exclude seriously slow/problematic tests (laketests crash)
"CTEST_OPTIONS": "-E 'interactivetest|leanpkgtest|laketest|benchtest'"
},*/
{
"name": "macOS",
"os": "macos-latest",
"release": true,
"quick": false,
"shell": "bash -euxo pipefail {0}",
"llvm-url": "https://github.com/leanprover/lean-llvm/releases/download/15.0.1/lean-llvm-x86_64-apple-darwin.tar.zst",
"prepare-llvm": "../script/prepare-llvm-macos.sh lean-llvm*",
"binary-check": "otool -L",
"tar": "gtar" // https://github.com/actions/runner-images/issues/2619
},
{
"name": "macOS aarch64",
"os": "macos-latest",
"release": true,
"quick": false,
"cross": true,
"cross_target": "aarch64-apple-darwin",
"shell": "bash -euxo pipefail {0}",
"CMAKE_OPTIONS": "-DUSE_GMP=OFF -DLEAN_INSTALL_SUFFIX=-darwin_aarch64",
"llvm-url": "https://github.com/leanprover/lean-llvm/releases/download/15.0.1/lean-llvm-aarch64-apple-darwin.tar.zst https://github.com/leanprover/lean-llvm/releases/download/15.0.1/lean-llvm-x86_64-apple-darwin.tar.zst",
"prepare-llvm": "../script/prepare-llvm-macos.sh lean-llvm-aarch64-* lean-llvm-x86_64-*",
"binary-check": "otool -L",
"tar": "gtar" // https://github.com/actions/runner-images/issues/2619
},
{
"name": "Windows",
"os": "windows-2022",
"release": true,
"quick": false,
"shell": "msys2 {0}",
"CMAKE_OPTIONS": "-G \"Unix Makefiles\" -DUSE_GMP=OFF",
// for reasons unknown, interactivetests are flaky on Windows
"CTEST_OPTIONS": "--repeat until-pass:2",
"llvm-url": "https://github.com/leanprover/lean-llvm/releases/download/15.0.1/lean-llvm-x86_64-w64-windows-gnu.tar.zst",
"prepare-llvm": "../script/prepare-llvm-mingw.sh lean-llvm*",
"binary-check": "ldd"
},
{
"name": "Linux aarch64",
"os": "ubuntu-latest",
"CMAKE_OPTIONS": "-DUSE_GMP=OFF -DLEAN_INSTALL_SUFFIX=-linux_aarch64",
"release": true,
"quick": false,
"cross": true,
"cross_target": "aarch64-unknown-linux-gnu",
"shell": "nix develop .#oldGlibcAArch -c bash -euxo pipefail {0}",
"llvm-url": "https://github.com/leanprover/lean-llvm/releases/download/15.0.1/lean-llvm-x86_64-linux-gnu.tar.zst https://github.com/leanprover/lean-llvm/releases/download/15.0.1/lean-llvm-aarch64-linux-gnu.tar.zst",
"prepare-llvm": "../script/prepare-llvm-linux.sh lean-llvm-aarch64-* lean-llvm-x86_64-*"
},
{
"name": "Linux 32bit",
"os": "ubuntu-latest",
// Use 32bit on stage0 and stage1 to keep oleans compatible
"CMAKE_OPTIONS": "-DSTAGE0_USE_GMP=OFF -DSTAGE0_LEAN_EXTRA_CXX_FLAGS='-m32' -DSTAGE0_LEANC_OPTS='-m32' -DSTAGE0_MMAP=OFF -DUSE_GMP=OFF -DLEAN_EXTRA_CXX_FLAGS='-m32' -DLEANC_OPTS='-m32' -DMMAP=OFF -DLEAN_INSTALL_SUFFIX=-linux_x86",
"cmultilib": true,
"release": true,
"quick": false,
"cross": true,
"shell": "bash -euxo pipefail {0}"
},
{
"name": "Web Assembly",
"os": "ubuntu-latest",
// Build a native 32bit binary in stage0 and use it to compile the oleans and the wasm build
"CMAKE_OPTIONS": "-DCMAKE_C_COMPILER_WORKS=1 -DSTAGE0_USE_GMP=OFF -DSTAGE0_LEAN_EXTRA_CXX_FLAGS='-m32' -DSTAGE0_LEANC_OPTS='-m32' -DSTAGE0_CMAKE_CXX_COMPILER=clang++ -DSTAGE0_CMAKE_C_COMPILER=clang -DSTAGE0_CMAKE_EXECUTABLE_SUFFIX=\"\" -DUSE_GMP=OFF -DMMAP=OFF -DSTAGE0_MMAP=OFF -DCMAKE_AR=../emsdk/emsdk-main/upstream/emscripten/emar -DCMAKE_TOOLCHAIN_FILE=../emsdk/emsdk-main/upstream/emscripten/cmake/Modules/Platform/Emscripten.cmake -DLEAN_INSTALL_SUFFIX=-linux_wasm32",
"wasm": true,
"cmultilib": true,
"release": true,
"quick": false,
"cross": true,
"shell": "bash -euxo pipefail {0}",
// Just a few selected tests because wasm is slow
"CTEST_OPTIONS": "-R \"leantest_1007\\.lean|leantest_Format\\.lean|leanruntest\\_1037.lean|leanruntest_ac_rfl\\.lean\""
}
];
console.log(`matrix:\n${JSON.stringify(matrix, null, 2)}`)
if (quick) {
return matrix.filter((job) => job.quick)
} else {
return matrix
}
- name: Checkout
uses: actions/checkout@v3
# don't schedule nightlies on forks
if: github.event_name == 'schedule' && github.repository == 'leanprover/lean4'
uses: actions/checkout@v2
- name: Set Nightly
if: github.event_name == 'schedule' && github.repository == 'leanprover/lean4'
id: set-nightly
id: set
run: |
if [[ -n '${{ secrets.PUSH_NIGHTLY_TOKEN }}' ]]; then
git remote add nightly https://foo:'${{ secrets.PUSH_NIGHTLY_TOKEN }}'@github.com/${{ github.repository_owner }}/lean4-nightly.git
git fetch nightly --tags
LEAN_VERSION_STRING="nightly-$(date -u +%F)"
# do nothing if commit already has a different tag
if [[ "$(git name-rev --name-only --tags --no-undefined HEAD 2> /dev/null || echo "$LEAN_VERSION_STRING")" == "$LEAN_VERSION_STRING" ]]; then
echo "nightly=$LEAN_VERSION_STRING" >> "$GITHUB_OUTPUT"
if [[ $(git name-rev --name-only --tags --no-undefined HEAD 2> /dev/null || echo $LEAN_VERSION_STRING) == $LEAN_VERSION_STRING ]]; then
echo "::set-output name=nightly::$LEAN_VERSION_STRING"
fi
fi
- name: Check for official release
if: startsWith(github.ref, 'refs/tags/') && github.repository == 'leanprover/lean4'
id: set-release
run: |
TAG_NAME="${GITHUB_REF##*/}"
# From https://github.com/fsaintjacques/semver-tool/blob/master/src/semver
NAT='0|[1-9][0-9]*'
ALPHANUM='[0-9]*[A-Za-z-][0-9A-Za-z-]*'
IDENT="$NAT|$ALPHANUM"
FIELD='[0-9A-Za-z-]+'
SEMVER_REGEX="\
^[vV]?\
($NAT)\\.($NAT)\\.($NAT)\
(\\-(${IDENT})(\\.(${IDENT}))*)?\
(\\+${FIELD}(\\.${FIELD})*)?$"
if [[ ${TAG_NAME} =~ ${SEMVER_REGEX} ]]; then
echo "Tag ${TAG_NAME} matches SemVer regex, with groups ${BASH_REMATCH[1]} ${BASH_REMATCH[2]} ${BASH_REMATCH[3]} ${BASH_REMATCH[4]}"
{
echo "LEAN_VERSION_MAJOR=${BASH_REMATCH[1]}"
echo "LEAN_VERSION_MINOR=${BASH_REMATCH[2]}"
echo "LEAN_VERSION_PATCH=${BASH_REMATCH[3]}"
echo "LEAN_SPECIAL_VERSION_DESC=${BASH_REMATCH[4]##-}"
echo "RELEASE_TAG=$TAG_NAME"
} >> "$GITHUB_OUTPUT"
else
echo "Tag ${TAG_NAME} did not match SemVer regex."
fi
build:
needs: [configure]
if: github.event_name != 'schedule' || github.repository == 'leanprover/lean4'
strategy:
matrix:
include: ${{fromJson(needs.configure.outputs.matrix)}}
# complete all jobs
fail-fast: false
needs: set-nightly
# `always` *must* be used to continue even after a dependency has been skipped
if: always() && (github.event_name != 'schedule' || github.repository == 'leanprover/lean4')
runs-on: ${{ matrix.os }}
defaults:
run:
shell: ${{ matrix.shell || 'nix develop -c bash -euxo pipefail {0}' }}
shell: ${{ matrix.shell || 'nix-shell --run "bash -euxo pipefail {0}"' }}
strategy:
matrix:
include:
# portable release build: use channel with older glibc (2.27)
- name: Linux release
os: ubuntu-latest
release: true
shell: nix-shell --arg pkgsDist "import (fetchTarball \"channel:nixos-19.03\") {{}}" --run "bash -euxo pipefail {0}"
llvm-url: https://github.com/leanprover/lean-llvm/releases/download/14.0.0/lean-llvm-x86_64-linux-gnu.tar.zst
prepare-llvm: ../script/prepare-llvm-linux.sh lean-llvm*
binary-check: ldd -v
# foreign code may be linked against more recent glibc
CTEST_OPTIONS: -E 'foreign|leanlaketest_git'
- name: Linux
os: ubuntu-latest
check-stage3: true
test-speedcenter: true
- name: Linux Debug
os: ubuntu-latest
CMAKE_OPTIONS: -DCMAKE_BUILD_TYPE=Debug
- name: Linux fsanitize
os: ubuntu-latest
# turn off custom allocator & symbolic functions to make LSAN do its magic
CMAKE_OPTIONS: -DLEAN_EXTRA_CXX_FLAGS=-fsanitize=address,undefined -DLEANC_EXTRA_FLAGS='-fsanitize=address,undefined -fsanitize-link-c++-runtime' -DSMALL_ALLOCATOR=OFF -DBSYMBOLIC=OFF
# exclude problematic tests
CTEST_OPTIONS: -E laketest
- name: macOS
os: macos-latest
release: true
shell: bash -euxo pipefail {0}
CMAKE_OPTIONS: -DCMAKE_OSX_DEPLOYMENT_TARGET=10.15
llvm-url: https://github.com/leanprover/lean-llvm/releases/download/14.0.0/lean-llvm-x86_64-apple-darwin.tar.zst
prepare-llvm: ../script/prepare-llvm-macos.sh lean-llvm*
binary-check: otool -L
tar: gtar # https://github.com/actions/runner-images/issues/2619
- name: macOS aarch64
os: macos-latest
release: true
cross: true
shell: bash -euxo pipefail {0}
CMAKE_OPTIONS: -DCMAKE_OSX_DEPLOYMENT_TARGET=10.15 -DUSE_GMP=OFF -DLEAN_INSTALL_SUFFIX=-darwin_aarch64
llvm-url: https://github.com/leanprover/lean-llvm/releases/download/14.0.0/lean-llvm-aarch64-apple-darwin.tar.zst https://github.com/leanprover/lean-llvm/releases/download/14.0.0/lean-llvm-x86_64-apple-darwin.tar.zst
prepare-llvm: EXTRA_FLAGS=--target=aarch64-apple-darwin ../script/prepare-llvm-macos.sh lean-llvm-aarch64-* lean-llvm-x86_64-*
binary-check: otool -L
tar: gtar # https://github.com/actions/runner-images/issues/2619
- name: Windows
os: windows-2022
release: true
shell: msys2 {0}
CMAKE_OPTIONS: -G "Unix Makefiles"
# for reasons unknown, interactivetests are flaky on Windows
CTEST_OPTIONS: --repeat until-pass:2
llvm-url: https://github.com/leanprover/lean-llvm/releases/download/14.0.0/lean-llvm-x86_64-w64-windows-gnu.tar.zst
prepare-llvm: ../script/prepare-llvm-mingw.sh lean-llvm*
binary-check: ldd
- name: Linux aarch64
os: ubuntu-latest
CMAKE_OPTIONS: -DCMAKE_PREFIX_PATH=$GMP -DLEAN_INSTALL_SUFFIX=-linux_aarch64
release: true
cross: true
shell: nix-shell --arg pkgsDist "import (fetchTarball \"channel:nixos-19.03\") {{ localSystem.config = \"aarch64-unknown-linux-gnu\"; }}" --run "bash -euxo pipefail {0}"
llvm-url: https://github.com/leanprover/lean-llvm/releases/download/14.0.0/lean-llvm-x86_64-linux-gnu.tar.zst https://github.com/leanprover/lean-llvm/releases/download/14.0.0/lean-llvm-aarch64-linux-gnu.tar.zst
prepare-llvm: EXTRA_FLAGS=--target=aarch64-unknown-linux-gnu ../script/prepare-llvm-linux.sh lean-llvm-aarch64-* lean-llvm-x86_64-*
# complete all jobs
fail-fast: false
name: ${{ matrix.name }}
env:
# must be inside workspace
@@ -265,19 +119,14 @@ jobs:
LSAN_OPTIONS: max_leaks=10
# somehow MinGW clang64 (or cmake?) defaults to `g++` even though it doesn't exist
CXX: c++
MACOSX_DEPLOYMENT_TARGET: 10.15
steps:
- name: Checkout
uses: actions/checkout@v3
uses: actions/checkout@v2
with:
submodules: true
# 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: Install Nix
uses: cachix/install-nix-action@v18
with:
install_url: https://releases.nixos.org/nix/nix-2.12.0/install
if: matrix.os == 'ubuntu-latest' && !matrix.cmultilib
uses: cachix/install-nix-action@v15
if: matrix.os == 'ubuntu-latest'
- name: Install MSYS2
uses: msys2/setup-msys2@v2
with:
@@ -287,21 +136,10 @@ jobs:
if: matrix.os == 'windows-2022'
- name: Install Brew Packages
run: |
brew install ccache tree zstd coreutils gmp
brew install ccache tree zstd coreutils
if: matrix.os == 'macos-latest'
- name: Setup emsdk
uses: mymindstorm/setup-emsdk@v12
with:
version: 3.1.44
actions-cache-folder: emsdk
if: matrix.wasm
- name: Install 32bit c libs
run: |
sudo apt-get update
sudo apt-get install -y gcc-multilib g++-multilib ccache
if: matrix.cmultilib
- name: Cache
uses: actions/cache@v3
uses: actions/cache@v2
with:
path: .ccache
key: ${{ matrix.name }}-build-v3-${{ github.sha }}
@@ -313,40 +151,18 @@ jobs:
# open nix-shell once for initial setup
true
if: matrix.os == 'ubuntu-latest'
- name: Set up core dumps
run: |
mkdir -p $PWD/coredumps
# store in current directory, for easy uploading together with binary
echo $PWD/coredumps/%e.%p.%t | sudo tee /proc/sys/kernel/core_pattern
if: matrix.os == 'ubuntu-latest'
- name: Build
run: |
mkdir build
cd build
ulimit -c unlimited # coredumps
# arguments passed to `cmake`
# this also enables githash embedding into stage 1 library
OPTIONS=(-DCHECK_OLEAN_VERSION=ON)
OPTIONS+=(-DLEAN_EXTRA_MAKE_OPTS=-DwarningAsError=true)
if [[ -n '${{ matrix.cross_target }}' ]]; then
# used by `prepare-llvm`
export EXTRA_FLAGS=--target=${{ matrix.cross_target }}
OPTIONS+=(-DLEAN_PLATFORM_TARGET=${{ matrix.cross_target }})
fi
OPTIONS=()
if [[ -n '${{ matrix.prepare-llvm }}' ]]; then
wget -q ${{ matrix.llvm-url }}
PREPARE="$(${{ matrix.prepare-llvm }})"
eval "OPTIONS+=($PREPARE)"
fi
if [[ -n '${{ matrix.release }}' && -n '${{ needs.configure.outputs.nightly }}' ]]; then
OPTIONS+=(-DLEAN_SPECIAL_VERSION_DESC=${{ needs.configure.outputs.nightly }})
fi
if [[ -n '${{ matrix.release }}' && -n '${{ needs.configure.outputs.RELEASE_TAG }}' ]]; then
OPTIONS+=(-DLEAN_VERSION_MAJOR=${{ needs.configure.outputs.LEAN_VERSION_MAJOR }})
OPTIONS+=(-DLEAN_VERSION_MINOR=${{ needs.configure.outputs.LEAN_VERSION_MINOR }})
OPTIONS+=(-DLEAN_VERSION_PATCH=${{ needs.configure.outputs.LEAN_VERSION_PATCH }})
OPTIONS+=(-DLEAN_VERSION_IS_RELEASE=1)
OPTIONS+=(-DLEAN_SPECIAL_VERSION_DESC=${{ needs.configure.outputs.LEAN_SPECIAL_VERSION_DESC }})
if [[ -n '${{ matrix.release }}' && -n '${{ needs.set-nightly.outputs.nightly }}' ]]; then
OPTIONS+=(-DLEAN_SPECIAL_VERSION_DESC=${{ needs.set-nightly.outputs.nightly }})
fi
# contortion to support empty OPTIONS with old macOS bash
cmake .. ${{ matrix.CMAKE_OPTIONS }} ${OPTIONS[@]+"${OPTIONS[@]}"} -DLEAN_INSTALL_PREFIX=$PWD/..
@@ -357,19 +173,19 @@ jobs:
- name: List Install Tree
run: |
# omit contents of Init/, ...
tree --du -h lean-*-* | grep -E ' (Init|Lean|Lake|LICENSE|[a-z])'
tree --du -h lean-* | grep -E ' (Init|Std|Lean|Lake|LICENSE|[a-z])'
- name: Pack
run: |
dir=$(echo lean-*-*)
dir=$(echo lean-*)
mkdir pack
# high-compression tar.zst + zip for release, fast tar.zst otherwise
if [[ '${{ startsWith(github.ref, 'refs/tags/') && matrix.release }}' == true || -n '${{ needs.configure.outputs.nightly }}' || -n '${{ needs.configure.outputs.RELEASE_TAG }}' ]]; then
if [[ '${{ startsWith(github.ref, 'refs/tags/v') && matrix.release }}' == true || -n '${{ needs.set-nightly.outputs.nightly }}' ]]; then
${{ matrix.tar || 'tar' }} cf - $dir | zstd -T0 --no-progress -19 -o pack/$dir.tar.zst
zip -rq pack/$dir.zip $dir
else
${{ matrix.tar || 'tar' }} cf - $dir | zstd -T0 --no-progress -o pack/$dir.tar.zst
fi
- uses: actions/upload-artifact@v3
- uses: actions/upload-artifact@v2
if: matrix.release
with:
name: build-${{ matrix.name }}
@@ -381,31 +197,22 @@ jobs:
- name: Test
run: |
cd build/stage1
ulimit -c unlimited # coredumps
# exclude nonreproducible test
ctest -j4 --progress --output-junit test-results.xml --output-on-failure ${{ matrix.CTEST_OPTIONS }} < /dev/null
if: (matrix.wasm || !matrix.cross) && needs.configure.outputs.quick == 'false'
- name: Test Summary
uses: test-summary/action@v2
with:
paths: build/stage1/test-results.xml
# prefix `if` above with `always` so it's run even if tests failed
if: always() && (matrix.wasm || !matrix.cross) && needs.configure.outputs.quick == 'false'
ctest -j4 --output-on-failure -E leanlaketest_git ${{ matrix.CTEST_OPTIONS }} < /dev/null
if: ${{ !matrix.cross }}
- name: Check Test Binary
run: ${{ matrix.binary-check }} tests/compiler/534.lean.out
if: ${{ !matrix.cross && needs.configure.outputs.quick == 'false' }}
if: ${{ !matrix.cross }}
- name: Build Stage 2
run: |
cd build
ulimit -c unlimited # coredumps
make -j4 stage2
if: matrix.test-speedcenter
if: matrix.build-stage2 || matrix.check-stage3
- name: Check Stage 3
run: |
cd build
ulimit -c unlimited # coredumps
make -j4 check-stage3
if: matrix.test-speedcenter
if: matrix.check-stage3
- name: Test Speedcenter Benchmarks
run: |
echo -1 | sudo tee /proc/sys/kernel/perf_event_paranoid
@@ -416,61 +223,21 @@ jobs:
- name: Check rebootstrap
run: |
cd build
ulimit -c unlimited # coredumps
# clean rebuild in case of Makefile changes
make update-stage0 && rm -rf ./stage* && make -j4
if: matrix.name == 'Linux' && needs.configure.outputs.quick == 'false'
make update-stage0 && make -j4
if: matrix.name == 'Linux'
- name: CCache stats
run: ccache -s
- name: Show stacktrace for coredumps
if: ${{ failure() && matrix.os == 'ubuntu-latest' }}
run: |
for c in coredumps/*; do
progbin="$(file $c | sed "s/.*execfn: '\([^']*\)'.*/\1/")"
echo bt | $GDB/bin/gdb -q $progbin $c || true
done
# has not been used in a long while, would need to be adapted to new
# shared libs
#- name: Upload coredumps
# uses: actions/upload-artifact@v3
# if: ${{ failure() && matrix.os == 'ubuntu-latest' }}
# with:
# name: coredumps-${{ matrix.name }}
# path: |
# ./coredumps
# ./build/stage0/bin/lean
# ./build/stage0/lib/lean/libleanshared.so
# ./build/stage1/bin/lean
# ./build/stage1/lib/lean/libleanshared.so
# ./build/stage2/bin/lean
# ./build/stage2/lib/lean/libleanshared.so
# This job collects results from all the matrix jobs
# This can be made the “required” job, instead of listing each
# matrix job separately
all-done:
name: Build matrix complete
runs-on: ubuntu-latest
needs: build
# mark as merely cancelled not failed if builds are cancelled
if: ${{ !cancelled() }}
steps:
- if: contains(needs.*.result, 'failure')
uses: actions/github-script@v7
with:
script: |
core.setFailed('Some jobs failed')
# This job creates releases from tags
# (whether they are "unofficial" releases for experiments, or official releases when the tag is "v" followed by a semver string.)
# We do not attempt to automatically construct a changelog here:
# unofficial releases don't need them, and official release notes will be written by a human.
release:
if: startsWith(github.ref, 'refs/tags/')
# When GitHub says "If a job fails, all jobs that need it are skipped unless
# the jobs use a conditional expression that causes the job to continue.", don't believe
# their lies. It's actually the entire closure (i.e. including `set-nightly`) that
# must succeed for subsequent to be run without `always()`.
if: always() && needs.build.result == 'success' && startsWith(github.ref, 'refs/tags/v')
runs-on: ubuntu-latest
needs: build
steps:
- uses: actions/download-artifact@v3
- uses: actions/download-artifact@v2
with:
path: artifacts
- name: Release
@@ -481,36 +248,33 @@ jobs:
env:
GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
# This job creates nightly releases during the cron job.
# It is responsible for creating the tag, and automatically generating a changelog.
release-nightly:
needs: [configure, build]
if: needs.configure.outputs.nightly
needs: [set-nightly, build]
if: needs.set-nightly.outputs.nightly
runs-on: ubuntu-latest
steps:
- name: Checkout
uses: actions/checkout@v3
uses: actions/checkout@v2
with:
# needed for tagging
fetch-depth: 0
token: ${{ secrets.PUSH_NIGHTLY_TOKEN }}
- uses: actions/download-artifact@v3
- uses: actions/download-artifact@v2
with:
path: artifacts
- name: Prepare Nightly Release
run: |
git remote add nightly https://foo:'${{ secrets.PUSH_NIGHTLY_TOKEN }}'@github.com/${{ github.repository_owner }}/lean4-nightly.git
git fetch nightly --tags
git tag "${{ needs.configure.outputs.nightly }}"
git push nightly "${{ needs.configure.outputs.nightly }}"
git push -f origin refs/tags/${{ needs.configure.outputs.nightly }}:refs/heads/nightly
last_tag="$(git log HEAD^ --simplify-by-decoration --pretty="format:%d" | grep -o "nightly-[-0-9]*" | head -n 1)"
git tag ${{ needs.set-nightly.outputs.nightly }}
git push nightly ${{ needs.set-nightly.outputs.nightly }}
last_tag=$(git describe HEAD^ --abbrev=0 --tags)
echo -e "*Changes since ${last_tag}:*\n\n" > diff.md
git show "$last_tag":RELEASES.md > old.md
git show $last_tag:RELEASES.md > old.md
#./script/diff_changelogs.py old.md doc/changes.md >> diff.md
diff --changed-group-format='%>' --unchanged-group-format='' old.md RELEASES.md >> diff.md || true
echo -e "\n*Full commit log*\n" >> diff.md
git log --oneline "$last_tag"..HEAD | sed 's/^/* /' >> diff.md
git log --oneline $last_tag..HEAD | sed 's/^/* /' >> diff.md
- name: Release Nightly
uses: softprops/action-gh-release@v1
with:
@@ -518,7 +282,7 @@ jobs:
prerelease: true
files: artifacts/*/*
fail_on_unmatched_files: true
tag_name: ${{ needs.configure.outputs.nightly }}
tag_name: ${{ needs.set-nightly.outputs.nightly }}
repository: ${{ github.repository_owner }}/lean4-nightly
env:
GITHUB_TOKEN: ${{ secrets.PUSH_NIGHTLY_TOKEN }}

View File

@@ -1,20 +0,0 @@
name: Check for copyright header
on: [pull_request]
jobs:
check-lean-files:
runs-on: ubuntu-latest
steps:
- uses: actions/checkout@v4
- name: Verify .lean files start with a copyright header.
run: |
FILES=$(find . -type d \( -path "./tests" -o -path "./doc" -o -path "./src/lake/examples" -o -path "./src/lake/tests" -o -path "./build" -o -path "./nix" \) -prune -o -type f -name "*.lean" -exec perl -ne 'BEGIN { $/ = undef; } print "$ARGV\n" if !m{\A/-\nCopyright}; exit;' {} \;)
if [ -n "$FILES" ]; then
echo "Found .lean files which do not have a copyright header:"
echo "$FILES"
exit 1
else
echo "All copyright headers present."
fi

View File

@@ -1,43 +0,0 @@
# This workflow allows any user to add one of the `awaiting-review`, `awaiting-author`, or `WIP` labels,
# by commenting on the PR or issue.
# Other labels from this set are removed automatically at the same time.
name: Label PR based on Comment
on:
issue_comment:
types: [created]
jobs:
update-label:
if: github.event.issue.pull_request != null && (contains(github.event.comment.body, 'awaiting-review') || contains(github.event.comment.body, 'awaiting-author') || contains(github.event.comment.body, 'WIP'))
runs-on: ubuntu-latest
steps:
- name: Add label based on comment
uses: actions/github-script@v7
with:
github-token: ${{ secrets.GITHUB_TOKEN }}
script: |
const { owner, repo, number: issue_number } = context.issue;
const commentLines = context.payload.comment.body.split('\r\n');
const awaitingReview = commentLines.includes('awaiting-review');
const awaitingAuthor = commentLines.includes('awaiting-author');
const wip = commentLines.includes('WIP');
if (awaitingReview || awaitingAuthor || wip) {
await github.rest.issues.removeLabel({ owner, repo, issue_number, name: 'awaiting-review' }).catch(() => {});
await github.rest.issues.removeLabel({ owner, repo, issue_number, name: 'awaiting-author' }).catch(() => {});
await github.rest.issues.removeLabel({ owner, repo, issue_number, name: 'WIP' }).catch(() => {});
}
if (awaitingReview) {
await github.rest.issues.addLabels({ owner, repo, issue_number, labels: ['awaiting-review'] });
}
if (awaitingAuthor) {
await github.rest.issues.addLabels({ owner, repo, issue_number, labels: ['awaiting-author'] });
}
if (wip) {
await github.rest.issues.addLabels({ owner, repo, issue_number, labels: ['WIP'] });
}

View File

@@ -6,19 +6,15 @@ on:
tags:
- '*'
pull_request:
types: [opened, synchronize, reopened, labeled]
merge_group:
concurrency:
group: ${{ github.workflow }}-${{ github.ref }}
cancel-in-progress: true
branches:
- master
jobs:
Build:
runs-on: ${{ matrix.os }}
defaults:
run:
shell: nix run .#ciShell -- bash -euxo pipefail {0}
shell: nix -v --experimental-features "nix-command flakes" run .#ciShell -- bash -euxo pipefail {0}
strategy:
matrix:
include:
@@ -30,15 +26,20 @@ jobs:
fail-fast: false
name: ${{ matrix.name }}
env:
NIX_BUILD_ARGS: --print-build-logs --fallback
NIX_BUILD_ARGS: -v --print-build-logs --fallback
steps:
- name: Checkout
uses: actions/checkout@v3
uses: actions/checkout@v2
- name: Install Nix
uses: cachix/install-nix-action@v15
with:
# the default is to use a virtual merge commit between the PR and master: just use the PR
ref: ${{ github.event.pull_request.head.sha }}
# https://github.com/NixOS/nix/issues/6572
install_url: https://releases.nixos.org/nix/nix-2.7.0/install
extra_nix_config: |
extra-sandbox-paths = /nix/var/cache/ccache
substituters = file://${{ github.workspace }}/nix-store-cache-copy?priority=10&trusted=true https://cache.nixos.org
- name: Set Up Nix Cache
uses: actions/cache@v3
uses: actions/cache@v2
with:
path: nix-store-cache
key: ${{ matrix.name }}-nix-store-cache-${{ github.sha }}
@@ -50,18 +51,13 @@ jobs:
run: |
# Nix seems to mutate the cache, so make a copy
cp -r nix-store-cache nix-store-cache-copy || true
- name: Install Nix
uses: DeterminateSystems/nix-installer-action@main
with:
extra-conf: |
extra-sandbox-paths = /nix/var/cache/ccache?
substituters = file://${{ github.workspace }}/nix-store-cache-copy?priority=10&trusted=true https://cache.nixos.org
- name: Prepare CCache Cache
shell: bash -euxo pipefail {0}
run: |
sudo mkdir -m0770 -p /nix/var/cache/ccache
sudo chown -R $USER /nix/var/cache/ccache
- name: Setup CCache Cache
uses: actions/cache@v3
uses: actions/cache@v2
with:
path: /nix/var/cache/ccache
key: ${{ matrix.name }}-nix-ccache-${{ github.sha }}
@@ -69,63 +65,42 @@ jobs:
restore-keys: |
${{ matrix.name }}-nix-ccache
- name: Further Set Up CCache Cache
shell: bash -euxo pipefail {0}
run: |
sudo chown -R root:nixbld /nix/var/cache
sudo chmod -R 770 /nix/var/cache
- name: Install Cachix
uses: cachix/cachix-action@v10
with:
name: lean4
authToken: '${{ secrets.CACHIX_AUTH_TOKEN }}'
skipPush: true # we push specific outputs only
- name: Build
run: |
nix build $NIX_BUILD_ARGS .#cacheRoots -o push-build
# .o files are not a runtime dependency on macOS because of lack of thin archives
nix build $NIX_BUILD_ARGS .#stage0 .#stage1.lean-all .#Lean.oTree .#iTree .#modDepsFiles -o push-build
- name: Test
run: |
nix build --keep-failed $NIX_BUILD_ARGS .#test -o push-test || (ln -s /tmp/nix-build-*/source/src/build/ ./push-test; false)
- name: Test Summary
uses: test-summary/action@v2
with:
paths: push-test/test-results.xml
if: always()
continue-on-error: true
nix build $NIX_BUILD_ARGS .#test -o push-test
- name: Build manual
run: |
nix build $NIX_BUILD_ARGS --update-input lean --no-write-lock-file ./doc#{lean-mdbook,leanInk,alectryon,test,inked} -o push-doc
nix build $NIX_BUILD_ARGS --update-input lean --no-write-lock-file ./doc#{lean-mdbook,leanInk,alectryon,test} -o push-doc
nix build $NIX_BUILD_ARGS --update-input lean --no-write-lock-file ./doc
# https://github.com/netlify/cli/issues/1809
cp -r --dereference ./result ./dist
if: matrix.name == 'Nix Linux'
- name: Check manual for broken links
id: lychee
uses: lycheeverse/lychee-action@v1.9.0
with:
fail: false # report errors but do not block CI on temporary failures
# gmplib.org consistently times out from GH actions
# the GitHub token is to avoid rate limiting
args: --base './dist' --no-progress --github-token ${{ secrets.GITHUB_TOKEN }} --exclude 'gmplib.org' './dist/**/*.html'
- name: Push to Cachix
run: |
[ -z "${{ secrets.CACHIX_AUTH_TOKEN }}" ] || cachix push -j4 lean4 ./push-* || true
- name: Rebuild Nix Store Cache
run: |
rm -rf nix-store-cache || true
nix copy ./push-* --to file://$PWD/nix-store-cache?compression=none
- id: deploy-info
name: Compute Deployment Metadata
run: |
set -e
python3 -c 'import base64; print("alias="+base64.urlsafe_b64encode(bytes.fromhex("${{github.sha}}")).decode("utf-8").rstrip("="))' >> "$GITHUB_OUTPUT"
echo "message=`git log -1 --pretty=format:"%s"`" >> "$GITHUB_OUTPUT"
- name: Publish manual to Netlify
uses: nwtgck/actions-netlify@v2.0
id: publish-manual
- name: Publish manual
uses: peaceiris/actions-gh-pages@v3
with:
publish-dir: ./dist
production-branch: master
github-token: ${{ secrets.GITHUB_TOKEN }}
deploy-message: |
${{ github.event_name == 'pull_request' && format('pr#{0}: {1}', github.event.number, github.event.pull_request.title) || format('ref/{0}: {1}', github.ref_name, steps.deploy-info.outputs.message) }}
alias: ${{ steps.deploy-info.outputs.alias }}
enable-commit-comment: false
enable-pull-request-comment: false
github-deployment-environment: "lean-lang.org/lean4/doc"
fails-without-credentials: false
env:
NETLIFY_AUTH_TOKEN: ${{ secrets.NETLIFY_AUTH_TOKEN }}
NETLIFY_SITE_ID: "b8e805d2-7e9b-4f80-91fb-a84d72fc4a68"
github_token: ${{ secrets.GITHUB_TOKEN }}
publish_dir: ./result
destination_dir: ./doc
if: matrix.name == 'Nix Linux' && github.ref == 'refs/heads/master' && github.event_name == 'push'
- name: Fixup CCache Cache
run: |
sudo chown -R $USER /nix/var/cache

View File

@@ -1,339 +0,0 @@
# Push a release to the lean4-pr-releases repository, whenever someone pushes to a PR branch.
# This needs to run with the `secrets.PR_RELEASES_TOKEN` token available,
# but PR branches will generally come from forks,
# so it is not possible to run this using the `pull_request` or `pull_request_target` workflows.
# Instead we use `workflow_run`, which essentially allows us to escalate privileges
# (but only runs the CI as described in the `master` branch, not in the PR branch).
# The main specification/documentation for this workflow is at
# https://leanprover-community.github.io/contribute/tags_and_branches.html
# Keep that in sync!
name: PR release
on:
workflow_run: # https://docs.github.com/en/actions/using-workflows/events-that-trigger-workflows#workflow_run
workflows: [CI]
types: [completed]
jobs:
on-success:
runs-on: ubuntu-latest
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
# This action is deprecated and archived, but it seems hard to find a better solution for getting the PR number
# see https://github.com/orgs/community/discussions/25220 for some discussion
id: workflow-info
with:
token: ${{ secrets.GITHUB_TOKEN }}
sourceRunId: ${{ github.event.workflow_run.id }}
- name: Download artifact from the previous workflow.
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
id: download-artifact
uses: dawidd6/action-download-artifact@v2 # https://github.com/marketplace/actions/download-workflow-artifact
with:
run_id: ${{ github.event.workflow_run.id }}
path: artifacts
name: build-.*
name_is_regexp: true
- name: Push tag
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
run: |
git init --bare lean4.git
git -C lean4.git remote add origin https://github.com/${{ github.repository_owner }}/lean4.git
git -C lean4.git fetch -n origin master
git -C lean4.git fetch -n origin "${{ steps.workflow-info.outputs.sourceHeadSha }}"
git -C lean4.git tag -f pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }} "${{ steps.workflow-info.outputs.sourceHeadSha }}"
git -C lean4.git remote add pr-releases https://foo:'${{ secrets.PR_RELEASES_TOKEN }}'@github.com/${{ github.repository_owner }}/lean4-pr-releases.git
git -C lean4.git push -f pr-releases pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}
- name: Delete existing release if present
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
run: |
# Try to delete any existing release for the current PR.
gh release delete --repo ${{ github.repository_owner }}/lean4-pr-releases pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }} -y || true
env:
GH_TOKEN: ${{ secrets.PR_RELEASES_TOKEN }}
- name: Release
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
uses: softprops/action-gh-release@v1
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:
# The token used here must have `workflow` privileges.
GITHUB_TOKEN: ${{ secrets.PR_RELEASES_TOKEN }}
- name: Report release status
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
uses: actions/github-script@v6
with:
script: |
await github.rest.repos.createCommitStatus({
owner: context.repo.owner,
repo: context.repo.repo,
sha: "${{ steps.workflow-info.outputs.sourceHeadSha }}",
state: "success",
context: "PR toolchain",
description: "${{ github.repository_owner }}/lean4-pr-releases:pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}",
});
- name: Add label
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
uses: actions/github-script@v7
with:
script: |
await github.rest.issues.addLabels({
issue_number: ${{ steps.workflow-info.outputs.pullRequestNumber }},
owner: context.repo.owner,
repo: context.repo.repo,
labels: ['toolchain-available']
})
# Next, determine the most recent nightly release in this PR's history.
- name: Find most recent nightly in feature branch
id: most-recent-nightly-tag
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
run: |
git -C lean4.git remote add nightly https://github.com/leanprover/lean4-nightly.git
git -C lean4.git fetch nightly '+refs/tags/nightly-*:refs/tags/nightly-*'
git -C lean4.git tag --merged "${{ steps.workflow-info.outputs.sourceHeadSha }}" --list "nightly-*" \
| sort -rV | head -n 1 | sed "s/^nightly-*/MOST_RECENT_NIGHTLY=/" | tee -a "$GITHUB_ENV"
- name: 'Setup jq'
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
uses: dcarbone/install-jq-action@v1.0.1
# Check that the most recently nightly coincides with 'git merge-base HEAD master'
- name: Check merge-base and nightly-testing-YYYY-MM-DD
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' }}
id: ready
run: |
echo "Most recent nightly release in your branch: $MOST_RECENT_NIGHTLY"
NIGHTLY_SHA=$(git -C lean4.git rev-parse "nightly-$MOST_RECENT_NIGHTLY^{commit}")
echo "SHA of most recent nightly release: $NIGHTLY_SHA"
MERGE_BASE_SHA=$(git -C lean4.git merge-base origin/master "${{ steps.workflow-info.outputs.sourceHeadSha }}")
echo "SHA of merge-base: $MERGE_BASE_SHA"
if [ "$NIGHTLY_SHA" = "$MERGE_BASE_SHA" ]; then
echo "The merge base of this PR coincides with the nightly release"
STD_REMOTE_TAGS="$(git ls-remote https://github.com/leanprover/std4.git nightly-testing-"$MOST_RECENT_NIGHTLY")"
MATHLIB_REMOTE_TAGS="$(git ls-remote https://github.com/leanprover-community/mathlib4.git nightly-testing-"$MOST_RECENT_NIGHTLY")"
if [[ -n "$STD_REMOTE_TAGS" ]]; then
echo "... and Std has a 'nightly-testing-$MOST_RECENT_NIGHTLY' tag."
MESSAGE=""
if [[ -n "$MATHLIB_REMOTE_TAGS" ]]; then
echo "... and Mathlib has a 'nightly-testing-$MOST_RECENT_NIGHTLY' tag."
else
echo "... but Mathlib does not yet have a 'nightly-testing-$MOST_RECENT_NIGHTLY' tag."
MESSAGE="- ❗ Mathlib CI can not be attempted yet, as the \`nightly-testing-$MOST_RECENT_NIGHTLY\` tag does not exist there yet. We will retry when you push more commits. If you rebase your branch onto \`nightly-with-mathlib\`, Mathlib CI should run now."
fi
else
echo "... but Std does not yet have a 'nightly-testing-$MOST_RECENT_NIGHTLY' tag."
MESSAGE="- ❗ Std CI can not be attempted yet, as the \`nightly-testing-$MOST_RECENT_NIGHTLY\` tag does not exist there yet. We will retry when you push more commits. If you rebase your branch onto \`nightly-with-mathlib\`, Std CI should run now."
fi
else
echo "The most recently nightly tag on this branch has SHA: $NIGHTLY_SHA"
echo "but 'git merge-base origin/master HEAD' reported: $MERGE_BASE_SHA"
git -C lean4.git log -10 origin/master
git -C lean4.git fetch origin nightly-with-mathlib
NIGHTLY_WITH_MATHLIB_SHA="$(git -C lean4.git rev-parse "nightly-with-mathlib")"
MESSAGE="- ❗ Std/Mathlib CI will not be attempted unless your PR branches off the \`nightly-with-mathlib\` branch. Try \`git rebase $MERGE_BASE_SHA --onto $NIGHTLY_WITH_MATHLIB_SHA\`."
fi
if [[ -n "$MESSAGE" ]]; then
echo "Checking existing messages"
# The code for updating comments is duplicated in mathlib's
# scripts/lean-pr-testing-comments.sh
# so keep in sync
# Use GitHub API to check if a comment already exists
existing_comment="$(curl -L -s -H "Authorization: token ${{ secrets.MATHLIB4_BOT }}" \
-H "Accept: application/vnd.github.v3+json" \
"https://api.github.com/repos/leanprover/lean4/issues/${{ steps.workflow-info.outputs.pullRequestNumber }}/comments" \
| jq 'first(.[] | select(.body | test("^- . Mathlib") or startswith("Mathlib CI status")) | select(.user.login == "leanprover-community-mathlib4-bot"))')"
existing_comment_id="$(echo "$existing_comment" | jq -r .id)"
existing_comment_body="$(echo "$existing_comment" | jq -r .body)"
if [[ "$existing_comment_body" != *"$MESSAGE"* ]]; then
MESSAGE="$MESSAGE ($(date "+%Y-%m-%d %H:%M:%S"))"
echo "Posting message to the comments: $MESSAGE"
# Append new result to the existing comment or post a new comment
# It's essential we use the MATHLIB4_BOT token here, so that Mathlib CI can subsequently edit the comment.
if [ -z "$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 ${{ secrets.MATHLIB4_BOT }}" \
-H "Accept: application/vnd.github.v3+json" \
-d "$(jq --null-input --arg intro "$INTRO" --arg val "$MESSAGE" '{"body":($intro + "\n" + $val)}')" \
"https://api.github.com/repos/leanprover/lean4/issues/${{ steps.workflow-info.outputs.pullRequestNumber }}/comments"
else
# Append new result to the existing comment
echo "Appending to existing comment at leanprover/lean4/issues/${{ steps.workflow-info.outputs.pullRequestNumber }}/comments"
curl -L -s \
-X PATCH \
-H "Authorization: token ${{ secrets.MATHLIB4_BOT }}" \
-H "Accept: application/vnd.github.v3+json" \
-d "$(jq --null-input --arg existing "$existing_comment_body" --arg message "$MESSAGE" '{"body":($existing + "\n" + $message)}')" \
"https://api.github.com/repos/leanprover/lean4/issues/comments/$existing_comment_id"
fi
else
echo "The message already exists in the comment body."
fi
echo "mathlib_ready=false" >> "$GITHUB_OUTPUT"
else
echo "mathlib_ready=true" >> "$GITHUB_OUTPUT"
fi
- name: Report mathlib base
if: ${{ steps.workflow-info.outputs.pullRequestNumber != '' && steps.ready.outputs.mathlib_ready == 'true' }}
uses: actions/github-script@v6
with:
script: |
const description =
process.env.MOST_RECENT_NIGHTLY ?
"nightly-" + process.env.MOST_RECENT_NIGHTLY :
"not branched off nightly";
await github.rest.repos.createCommitStatus({
owner: context.repo.owner,
repo: context.repo.repo,
sha: "${{ steps.workflow-info.outputs.sourceHeadSha }}",
state: "success",
context: "PR branched off:",
description: description,
});
# We next automatically create a Std branch using this toolchain.
# Std 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 Std fails.
- name: Cleanup workspace
if: steps.workflow-info.outputs.pullRequestNumber != '' && steps.ready.outputs.mathlib_ready == 'true'
run: |
sudo rm -rf ./*
# Checkout the Std repository with all branches
- name: Checkout Std repository
if: steps.workflow-info.outputs.pullRequestNumber != '' && steps.ready.outputs.mathlib_ready == 'true'
uses: actions/checkout@v3
with:
repository: leanprover/std4
token: ${{ secrets.MATHLIB4_BOT }}
ref: nightly-testing
fetch-depth: 0 # This ensures we check out all tags and branches.
- name: Check if tag exists
if: steps.workflow-info.outputs.pullRequestNumber != '' && steps.ready.outputs.mathlib_ready == 'true'
id: check_std_tag
run: |
git config user.name "leanprover-community-mathlib4-bot"
git config user.email "leanprover-community-mathlib4-bot@users.noreply.github.com"
if git ls-remote --heads --tags --exit-code origin "nightly-testing-${MOST_RECENT_NIGHTLY}" >/dev/null; then
BASE="nightly-testing-${MOST_RECENT_NIGHTLY}"
else
echo "This shouldn't be possible: couldn't find a 'nightly-testing-${MOST_RECENT_NIGHTLY}' tag at Std. Falling back to 'nightly-testing'."
BASE=nightly-testing
fi
echo "Using base branch: $BASE"
EXISTS="$(git ls-remote --heads origin lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }} | wc -l)"
echo "Branch exists: $EXISTS"
if [ "$EXISTS" = "0" ]; then
echo "Branch does not exist, creating it."
git switch -c lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }} "$BASE"
echo "leanprover/lean4-pr-releases:pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}" > lean-toolchain
git add lean-toolchain
git commit -m "Update lean-toolchain for testing https://github.com/leanprover/lean4/pull/${{ steps.workflow-info.outputs.pullRequestNumber }}"
else
echo "Branch already exists, pushing an empty commit."
git switch lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }}
# The Std `nightly-testing` or `nightly-testing-YYYY-MM-DD` branch may have moved since this branch was created, so merge their changes.
# (This should no longer be possible once `nightly-testing-YYYY-MM-DD` is a tag, but it is still safe to merge.)
git merge "$BASE" --strategy-option ours --no-commit --allow-unrelated-histories
git commit --allow-empty -m "Trigger CI for https://github.com/leanprover/lean4/pull/${{ steps.workflow-info.outputs.pullRequestNumber }}"
fi
- name: Push changes
if: steps.workflow-info.outputs.pullRequestNumber != '' && steps.ready.outputs.mathlib_ready == 'true'
run: |
git push origin lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }}
# We next automatically create a Mathlib branch using this toolchain.
# Mathlib CI will be responsible for reporting back success or failure
# to the PR comments asynchronously.
- name: Cleanup workspace
if: steps.workflow-info.outputs.pullRequestNumber != '' && steps.ready.outputs.mathlib_ready == 'true'
run: |
sudo rm -rf ./*
# Checkout the mathlib4 repository with all branches
- name: Checkout mathlib4 repository
if: steps.workflow-info.outputs.pullRequestNumber != '' && steps.ready.outputs.mathlib_ready == 'true'
uses: actions/checkout@v3
with:
repository: leanprover-community/mathlib4
token: ${{ secrets.MATHLIB4_BOT }}
ref: nightly-testing
fetch-depth: 0 # This ensures we check out all tags and branches.
- name: Check if tag exists
if: steps.workflow-info.outputs.pullRequestNumber != '' && steps.ready.outputs.mathlib_ready == 'true'
id: check_mathlib_tag
run: |
git config user.name "leanprover-community-mathlib4-bot"
git config user.email "leanprover-community-mathlib4-bot@users.noreply.github.com"
if git ls-remote --heads --tags --exit-code origin "nightly-testing-${MOST_RECENT_NIGHTLY}" >/dev/null; then
BASE="nightly-testing-${MOST_RECENT_NIGHTLY}"
else
echo "This shouldn't be possible: couldn't find a 'nightly-testing-${MOST_RECENT_NIGHTLY}' branch at Mathlib. Falling back to 'nightly-testing'."
BASE=nightly-testing
fi
echo "Using base tag: $BASE"
EXISTS="$(git ls-remote --heads origin lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }} | wc -l)"
echo "Branch exists: $EXISTS"
if [ "$EXISTS" = "0" ]; then
echo "Branch does not exist, creating it."
git switch -c lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }} "$BASE"
echo "leanprover/lean4-pr-releases:pr-release-${{ steps.workflow-info.outputs.pullRequestNumber }}" > lean-toolchain
git add lean-toolchain
sed -i "s/require std from git \"https:\/\/github.com\/leanprover\/std4\" @ \".\+\"/require std from git \"https:\/\/github.com\/leanprover\/std4\" @ \"nightly-testing-${MOST_RECENT_NIGHTLY}\"/" lakefile.lean
git add lakefile.lean
git commit -m "Update lean-toolchain for testing https://github.com/leanprover/lean4/pull/${{ steps.workflow-info.outputs.pullRequestNumber }}"
else
echo "Branch already exists, pushing an empty commit."
git switch lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }}
# The Mathlib `nightly-testing` branch or `nightly-testing-YYYY-MM-DD` tag may have moved since this branch was created, so merge their changes.
# (This should no longer be possible once `nightly-testing-YYYY-MM-DD` is a tag, but it is still safe to merge.)
git merge "$BASE" --strategy-option ours --no-commit --allow-unrelated-histories
git commit --allow-empty -m "Trigger CI for https://github.com/leanprover/lean4/pull/${{ steps.workflow-info.outputs.pullRequestNumber }}"
fi
- name: Push changes
if: steps.workflow-info.outputs.pullRequestNumber != '' && steps.ready.outputs.mathlib_ready == 'true'
run: |
git push origin lean-pr-testing-${{ steps.workflow-info.outputs.pullRequestNumber }}

View File

@@ -1,20 +0,0 @@
name: Check PR title for commit convention
on:
merge_group:
pull_request:
types: [opened, synchronize, reopened, edited]
jobs:
check-pr-title:
runs-on: ubuntu-latest
steps:
- name: Check PR title
uses: actions/github-script@v7
with:
script: |
const msg = context.payload.pull_request? context.payload.pull_request.title : context.payload.merge_group.head_commit.message;
console.log(`Message: ${msg}`)
if (!/^(feat|fix|doc|style|refactor|test|chore|perf): .*[^.]($|\n\n)/.test(msg)) {
core.setFailed('PR title does not follow the Commit Convention (https://leanprover.github.io/lean4/doc/dev/commit_convention.html).');
}

31
.github/workflows/pr.yml vendored Normal file
View File

@@ -0,0 +1,31 @@
name: sanity-check opened PRs
on:
# needs read/write GH token, do *not* execute arbitrary code from PR
pull_request_target:
types: [opened]
jobs:
check-pr:
runs-on: ubuntu-latest
steps:
- name: Check Commit Message
uses: actions/github-script@v3
with:
github-token: ${{ secrets.GITHUB_TOKEN }}
script: |
const { data: commits } = await github.pulls.listCommits({
owner: context.repo.owner,
repo: context.repo.repo,
pull_number: context.issue.number,
});
console.log(commits[0].commit.message);
// check first commit only (and only once) since later commits might be intended to be squashed away
if (!/^(feat|fix|doc|style|refactor|test|chore|perf): .*[^.]($|\n\n)/.test(commits[0].commit.message)) {
await github.issues.createComment({
owner: context.repo.owner,
repo: context.repo.repo,
issue_number: context.issue.number,
body: 'Thanks for your contribution! Please make sure to follow our [Commit Convention](https://leanprover.github.io/lean4/doc/dev/commit_convention.html).',
});
}

View File

@@ -1,20 +0,0 @@
name: 'Label stale PRs'
on:
schedule:
- cron: '30 1 * * *'
workflow_dispatch:
permissions:
pull-requests: write
jobs:
stale:
runs-on: ubuntu-latest
steps:
- uses: actions/stale@v8
with:
days-before-stale: -1
days-before-pr-stale: 30
days-before-close: -1
stale-pr-label: 'stale'
only-labels: 'awaiting-author'

View File

@@ -1,78 +0,0 @@
name: Update stage0
# This action will update stage0 on master as soon as
# src/stdlib_flags.h and stage0/src/stdlib_flags.h
# are out of sync there, or when manually triggered.
# The update bypasses the merge queue to be quick.
# Also see <doc/dev/bootstrap.md>.
on:
push:
branches:
- 'master'
workflow_dispatch:
concurrency:
group: stage0
cancel-in-progress: true
jobs:
update-stage0:
runs-on: ubuntu-latest
steps:
# This action should push to an otherwise protected branch, so it
# uses a deploy key with write permissions, as suggested at
# https://stackoverflow.com/a/76135647/946226
- uses: actions/checkout@v3
with:
ssh-key: ${{secrets.STAGE0_SSH_KEY}}
- run: echo "should_update_stage0=yes" >> "$GITHUB_ENV"
- name: Check if automatic update is needed
if: github.event_name == 'push'
run: |
if diff -u src/stdlib_flags.h stage0/src/stdlib_flags.h
then
echo "src/stdlib_flags.h and stage0/src/stdlib_flags.h agree, nothing to do"
echo "should_update_stage0=no" >> "$GITHUB_ENV"
fi
- name: Setup git user
if: env.should_update_stage0 == 'yes'
run: |
git config --global user.name "Lean stage0 autoupdater"
git config --global user.email "<>"
# Would be nice, but does not work yet:
# https://github.com/DeterminateSystems/magic-nix-cache/issues/39
# This action does not run that often and building runs in a few minutes, so ok for now
#- if: env.should_update_stage0 == 'yes'
# uses: DeterminateSystems/magic-nix-cache-action@v2
- if: env.should_update_stage0 == 'yes'
name: Restore Build Cache
uses: actions/cache/restore@v3
with:
path: nix-store-cache
key: Nix Linux-nix-store-cache-${{ github.sha }}
# fall back to (latest) previous cache
restore-keys: |
Nix Linux-nix-store-cache
- if: env.should_update_stage0 == 'yes'
name: Further Set Up Nix Cache
shell: bash -euxo pipefail {0}
run: |
# Nix seems to mutate the cache, so make a copy
cp -r nix-store-cache nix-store-cache-copy || true
- if: env.should_update_stage0 == 'yes'
name: Install Nix
uses: DeterminateSystems/nix-installer-action@main
with:
extra-conf: |
substituters = file://${{ github.workspace }}/nix-store-cache-copy?priority=10&trusted=true https://cache.nixos.org
- if: env.should_update_stage0 == 'yes'
run: nix run .#update-stage0-commit
- if: env.should_update_stage0 == 'yes'
run: git show --stat
- if: env.should_update_stage0 == 'yes' && github.event_name == 'push'
name: Sanity check # to avoid loops
run: |
diff -u src/stdlib_flags.h stage0/src/stdlib_flags.h || exit 1
- if: env.should_update_stage0 == 'yes'
run: git push origin

5
.gitignore vendored
View File

@@ -2,10 +2,7 @@
\#*
.#*
*.lock
.lake
lake-manifest.json
build
!/src/lake/Lake/Build
GPATH
GRTAGS
GSYMS
@@ -28,4 +25,4 @@ fwIn.txt
fwOut.txt
wdErr.txt
wdIn.txt
wdOut.txt
wdOut.txt

4
.gitmodules vendored Normal file
View File

@@ -0,0 +1,4 @@
[submodule "lake"]
path = src/lake
url = https://github.com/leanprover/lake.git
ignore = untracked

7
.vscode/settings.json vendored Normal file
View File

@@ -0,0 +1,7 @@
{
"files.insertFinalNewline": true,
"files.trimTrailingWhitespace": true,
"[markdown]": {
"rewrap.wrappingColumn": 70
}
}

View File

@@ -11,13 +11,10 @@ foreach(var ${vars})
list(APPEND STAGE0_ARGS "-D${CMAKE_MATCH_1}=${${var}}")
elseif("${currentHelpString}" MATCHES "No help, variable specified on the command line." OR "${currentHelpString}" STREQUAL "")
list(APPEND CL_ARGS "-D${var}=${${var}}")
if("${var}" MATCHES "USE_GMP|CHECK_OLEAN_VERSION")
if("${var}" STREQUAL "USE_GMP")
# must forward options that generate incompatible .olean format
list(APPEND STAGE0_ARGS "-D${var}=${${var}}")
endif()
if("${var}" MATCHES "LLVM*")
list(APPEND STAGE0_ARGS "-D${var}=${${var}}")
endif()
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()
@@ -26,17 +23,28 @@ endforeach()
include(ExternalProject)
project(LEAN CXX C)
if(NOT (DEFINED STAGE0_CMAKE_EXECUTABLE_SUFFIX))
set(STAGE0_CMAKE_EXECUTABLE_SUFFIX "${CMAKE_EXECUTABLE_SUFFIX}")
if("${CMAKE_SYSTEM_NAME}" MATCHES "Emscripten")
# For Emscripten, we build GMP before any of the stages and reuse it in all of them.
set(GMP_INSTALL_PREFIX ${CMAKE_BINARY_DIR}/gmp-root)
set(EMSCRIPTEN_FLAGS "-s ALLOW_MEMORY_GROWTH=1 -s MAIN_MODULE=1 -O3")
ExternalProject_Add(
gmp
URL https://gmplib.org/download/gmp/gmp-6.2.1.tar.bz2
URL_HASH SHA256=eae9326beb4158c386e39a356818031bd28f3124cf915f8c5b1dc4c7a36b4d7c
BUILD_IN_SOURCE 1
CONFIGURE_COMMAND emconfigure ./configure "CFLAGS=${EMSCRIPTEN_FLAGS}" --host=wasm32-unknown-emscripten --disable-assembly --prefix=${GMP_INSTALL_PREFIX}
BUILD_COMMAND emmake make -j4
INSTALL_COMMAND emmake make install
)
set(EXTRA_DEPENDS "gmp")
list(APPEND CL_ARGS "-DGMP_INSTALL_PREFIX=${GMP_INSTALL_PREFIX}")
list(APPEND PLATFORM_ARGS "-DGMP_INSTALL_PREFIX=${GMP_INSTALL_PREFIX}")
endif()
ExternalProject_add(stage0
SOURCE_DIR "${LEAN_SOURCE_DIR}/stage0"
SOURCE_SUBDIR src
BINARY_DIR stage0
# do not rebuild stage0 when git hash changes; it's not from this commit anyway
# (however, `CHECK_OLEAN_VERSION=ON` in 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} ${STAGE0_ARGS}
BUILD_ALWAYS ON # cmake doesn't auto-detect changes without a download method
INSTALL_COMMAND "" # skip install
@@ -46,7 +54,7 @@ ExternalProject_add(stage1
SOURCE_DIR "${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} ${CL_ARGS}
CMAKE_ARGS -DSTAGE=1 -DPREV_STAGE=${CMAKE_BINARY_DIR}/stage0 ${CL_ARGS}
BUILD_ALWAYS ON
INSTALL_COMMAND ""
DEPENDS stage0
@@ -55,7 +63,7 @@ ExternalProject_add(stage2
SOURCE_DIR "${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 ${CL_ARGS}
BUILD_ALWAYS ON
INSTALL_COMMAND ""
DEPENDS stage1
@@ -65,7 +73,7 @@ ExternalProject_add(stage3
SOURCE_DIR "${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 ${CL_ARGS}
BUILD_ALWAYS ON
INSTALL_COMMAND ""
DEPENDS stage2
@@ -78,10 +86,6 @@ 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(test
COMMAND $(MAKE) -C stage1 test
DEPENDS stage1)

View File

@@ -1,23 +0,0 @@
# Code Owners
#
# Documents responsible people per component.
# Listed persons will automatically be asked by GitHub to review a PR touching these paths.
# If multiple names are listed, a review by any of them is considered sufficient by default.
/.github/ @Kha @semorrison
/RELEASES.md @semorrison
/src/Init/IO.lean @joehendrix
/src/kernel/ @leodemoura
/src/lake/ @tydeu
/src/Lean/Compiler/ @leodemoura
/src/Lean/Data/Lsp/ @mhuisi
/src/Lean/Elab/Deriving/ @semorrison
/src/Lean/Elab/Tactic/ @semorrison
/src/Lean/Language/ @Kha
/src/Lean/Meta/Tactic/ @leodemoura
/src/Lean/Parser/ @Kha
/src/Lean/PrettyPrinter/ @Kha
/src/Lean/PrettyPrinter/Delaborator/ @kmill
/src/Lean/Server/ @mhuisi
/src/Lean/Widget/ @Vtec234
/src/runtime/io.cpp @joehendrix

View File

@@ -1,79 +1,57 @@
External Contribution Guidelines
============
# Contribution Guidelines
In the past, we accepted most pull requests. This practice produced hard to maintain code, performance problems, and bugs. In order to improve the quality and maintainability of our codebase, we've established the following guidelines for external contributions.
Thank you for your interest in contributing to Lean! There are many ways to contribute and we appreciate all of them.
Helpful links
-------
## Bug reports
* [Development Setup](./doc/dev/index.md)
* [Testing](./doc/dev/testing.md)
* [Commit convention](./doc/dev/commit_convention.md)
Bug reports as new issues are always welcome. Please check the existing [issues](https://github.com/leanprover/lean4/issues) first.
Reduce the issue to a self-contained, reproducible test case.
If you have the chance, before reporting a bug, please search existing issues, as it's possible that
someone else has already reported your error.
If you're not sure if something is a bug or not, feel free to file a bug anyway. You may also want to discuss it with the Lean
community using the [lean4 Zulip channel](https://leanprover.zulipchat.com/#narrow/stream/270676-lean4).
Before You Submit a Pull Request (PR):
-------
## Simple fixes
**Start with an Issue**: Before submitting a PR, always open an issue discussing the problem you wish to solve or the feature you'd like to add. Use the prefix `RFC:` (request for comments) if you are proposing a new feature. Ask for feedback from other users. Take the time to summarize all the feedback. This allows the maintainers to evaluate your proposal more efficiently. When creating a RFC, consider the following questions:
Simple fixes for **typos and clear bugs** are welcome.
- **User Experience**: How does this feature improve the user experience?
## Documentation
- **Beneficiaries**: Which Lean users and projects do benefit most from this feature/change?
Tutorial-like examples are very welcome.
They are useful for finding rough edges and bugs in Lean 4, for highlighting new features, and for showing how to use Lean.
If you want to store your tutorial in the Lean 4 repository to make sure future changes will not break it, we suggest the following workflow:
* Contact one of the Lean developers on Zulip, and check whether your tutorial is a good match for the Lean 4 repository.
* Send bug reports and report rough edges. We will work with you until the tutorial looks great.
* Add plenty of comments and make sure others will be able to follow it.
* Create a pull request in the Lean 4 repository. After merging, we will link it to the official documentation and make sure it becomes part of our test suite.
- **Community Feedback**: Have you sought feedback or insights from other Lean users?
You can use `.lean` or `.md` files to create your tutorial. The `.md` files are ideal when you want to format your prose using markdown. For an example, see [this `.md` file](https://github.com/leanprover/lean4/blob/master/doc/lean3changes.md).
- **Maintainability**: Will this change streamline code maintenance or simplify its structure?
Contributions to the reference manual are also welcome, but since Lean 4 is changing rapidly, please contact us first using Zulip
to find out which parts are stable enough to document. We will work with you to get this kind of
pull request merged. We are also happy to meet using Zoom, Skype or Google hangout to coordinate this kind of effort.
**Understand the Project**: Familiarize yourself with the project, existing issues, and latest commits. Ensure your contribution aligns with the project's direction and priorities.
As Lean 4 matures, other forms of documentation (e.g., doc-strings) will be welcome too.
**Stay Updated**: Regularly fetch and merge changes from the main branch to ensure your branch is up-to-date and can be smoothly integrated.
## "Help wanted"
**Help wanted**: We have issues tagged with ["help wanted"](https://github.com/leanprover/lean4/issues?q=is%3Aissue+is%3Aopen+label%3A%22help+wanted%22), if you want to contribute to the project, please take a look at them. If you are interested in one of them, post comments, ask questions, and engage with the core developers there.
For issues marked as [`help wanted`](https://github.com/leanprover/lean4/issues?q=is%3Aissue+is%3Aopen+label%3A%22help+wanted%22), pull requests (PR) are welcome and we will work with you to get a PR merged. Some of these issues are nontrivial. If you are interested, please consider adding comments to the issue and/or messaging the Lean developers in [Zulip](https://leanprover.zulipchat.com/#).
Quality Over Quantity:
-----
## Unexpected Pull Requests
**Focused Changes**: Each PR should address a single, clearly-defined issue or feature. Avoid making multiple unrelated changes in a single PR.
We have very few core developers, and we cannot review arbitrary pull requests (PRs). Moreover, many features involve subtle tradeoffs, and it may require significant time and energy to even assess a proposed design. We suggest the following workflow:
**Write Tests**: Every new feature or bug fix should come with relevant tests. This ensures the robustness and reliability of the contribution.
* First, discuss your idea with the Lean community on Zulip. Ask the community to help collect examples, document the requirements, and detect complications.
* If there is broad support, create a detailed issue for it on the Lean 4 repository at GitHub, and tag the issue with `RFC`.
* Ask the community for help documenting the requirements, and for collecting examples and concerns.
* Wait for one of the core developers to give you a "go ahead". At this point, the core developers will work with you to make sure your PR gets merged.
**Documentation**: Update relevant documentation, including comments in the code, to explain the logic and reasoning behind your changes.
We don't want to waste your time by you implementing a feature and then us not being able to merge it.
Coding Standards:
----
## How to Contribute
**Follow the Code Style**: Ensure that your code follows the established coding style of the project.
**Lean on Lean**: Use Lean's built-in features and libraries effectively, avoiding reinventions.
**Performance**: Make sure that your changes do not introduce performance regressions. If possible, optimize the solution for speed and resource usage.
PR Submission:
---
**Descriptive Title and Summary**: The PR title should briefly explain the purpose of the PR. The summary should give more detailed information on what changes are made and why. Links to Zulip threads are not acceptable as a summary. You are responsible for summarizing the discussion, and getting support for it.
**Follow the commit convention**: Pull requests are squash merged, and the
commit message is taken from the pull request title and body, so make sure they adhere to the [commit convention](https://github.com/leanprover/lean4/blob/master/doc/dev/commit_convention.md). Put questions and extra information, which should not be part of the final commit message, into a first comment rather than the Pull Request description.
Because the change will be squashed, there is no need to polish the commit messages and history on the branch.
**Link to Relevant Issues**: Reference any issues that your PR addresses to provide context.
**Stay Responsive**: Once the PR is submitted, stay responsive to feedback and be prepared to make necessary revisions. We will close any PR that has been inactive (no response or updates from the submitter) for more than a month.
Reviews and Feedback:
----
**Be Patient**: Given the limited number of full-time maintainers and the volume of PRs, reviews may take some time.
**Engage Constructively**: Always approach feedback positively and constructively. Remember, reviews are about ensuring the best quality for the project, not personal criticism.
**Continuous Integration**: Ensure that all CI checks pass on your PR. Failed checks will delay the review process. The maintainers will not check PRs containing failures.
What to Expect:
----
**Not All PRs Get Merged**: While we appreciate every contribution, not all PRs will be merged. Ensure your changes align with the project's goals and quality standards.
**Feedback is a Gift**: It helps improve the project and can also help you grow as a developer or contributor.
**Community Involvement**: Engage with the Lean community on our communication channels. This can lead to better collaboration and understanding of the project's direction.
* Always follow the [commit convention](https://leanprover.github.io/lean4/doc/dev/commit_convention.html).
* Follow the style of the surrounding code. When in doubt, look at other files using the particular syntax as well.
* Make sure your code is documented.
* New features or bug fixes should come with appropriate tests.
* Ensure all tests work before submitting a PR; see [Development Setup](https://leanprover.github.io/lean4/doc/make/index.html#development-setup) and [Fixing Tests](https://leanprover.github.io/lean4/doc/dev/fixing_tests.html).

View File

@@ -1,20 +1,22 @@
This is the repository for **Lean 4**.
This is the repository for **Lean 4**, which is currently being released as milestone releases towards a first stable release.
[Lean 3](https://github.com/leanprover/lean) is still the latest stable release.
# About
- [Quickstart](https://lean-lang.org/lean4/doc/quickstart.html)
- [Homepage](https://lean-lang.org)
- [Theorem Proving Tutorial](https://lean-lang.org/theorem_proving_in_lean4/)
- [Functional Programming in Lean](https://lean-lang.org/functional_programming_in_lean/)
- [Manual](https://lean-lang.org/lean4/doc/)
- [Quickstart](https://github.com/leanprover/lean4/blob/master/doc/quickstart.md)
- [Walkthrough installation video](https://www.youtube.com/watch?v=yZo6k48L0VY)
- [Quick tour video](https://youtu.be/zyXtbb_eYbY)
- [Homepage](https://leanprover.github.io)
- [Theorem Proving Tutorial](https://leanprover.github.io/theorem_proving_in_lean4/)
- [Functional Programming in Lean](https://leanprover.github.io/functional_programming_in_lean/) **first chapter is available!**
- [Manual](https://leanprover.github.io/lean4/doc/)
- [Release notes](RELEASES.md) starting at v4.0.0-m3
- [Examples](https://lean-lang.org/lean4/doc/examples.html)
- [External Contribution Guidelines](CONTRIBUTING.md)
- [FAQ](https://lean-lang.org/lean4/doc/faq.html)
- [Examples](https://leanprover.github.io/lean4/doc/examples.html)
- [FAQ](https://leanprover.github.io/lean4/doc/faq.html)
# Installation
See [Setting Up Lean](https://lean-lang.org/lean4/doc/setup.html).
See [Setting Up Lean](https://leanprover.github.io/lean4/doc/setup.html).
# Contributing
@@ -22,4 +24,4 @@ Please read our [Contribution Guidelines](CONTRIBUTING.md) first.
# Building from Source
See [Building Lean](https://lean-lang.org/lean4/doc/make/index.html).
See [Building Lean](https://leanprover.github.io/lean4/doc/make/index.html).

View File

@@ -1,862 +1,3 @@
# Lean 4 releases
We intend to provide regular "minor version" releases of the Lean language at approximately monthly intervals.
There is not yet a strong guarantee of backwards compatibility between versions,
only an expectation that breaking changes will be documented in this file.
This file contains work-in-progress notes for the upcoming release, as well as previous stable releases.
Please check the [releases](https://github.com/leanprover/lean4/releases) page for the current status
of each version.
v4.8.0 (development in progress)
---------
* **Executables configured with `supportInterpreter := true` on Windows should now be run via `lake exe` to function properly.**
The way Lean is built on Windows has changed (see PR [#3601](https://github.com/leanprover/lean4/pull/3601)). As a result, Lake now dynamically links executables with `supportInterpreter := true` on Windows to `libleanshared.dll` and `libInit_shared.dll`. Therefore, such executables will not run unless those shared libraries are co-located with the executables or part of `PATH`. Running the executable via `lake exe` will ensure these libraries are part of `PATH`.
In a related change, the signature of the `nativeFacets` Lake configuration options has changed from a static `Array` to a function `(shouldExport : Bool) → Array`. See its docstring or Lake's [README](src/lake/README.md) for further details on the changed option.
* Lean now generates an error if the type of a theorem is **not** a proposition.
* Importing two different files containing proofs of the same theorem is no longer considered an error. This feature is particularly useful for theorems that are automatically generated on demand (e.g., equational theorems).
* Funcitonal induction principles.
Derived from the definition of a (possibly mutually) recursive function, a **functional induction principle** is created that is tailored to proofs about that function.
For example from:
```
def ackermann : Nat → Nat → Nat
| 0, m => m + 1
| n+1, 0 => ackermann n 1
| n+1, m+1 => ackermann n (ackermann (n + 1) m)
```
we get
```
ackermann.induct (motive : Nat → Nat → Prop) (case1 : ∀ (m : Nat), motive 0 m)
(case2 : ∀ (n : Nat), motive n 1 → motive (Nat.succ n) 0)
(case3 : ∀ (n m : Nat), motive (n + 1) m → motive n (ackermann (n + 1) m) → motive (Nat.succ n) (Nat.succ m))
(x x : Nat) : motive x x
```
It can be used in the `induction` tactic using the `using` syntax:
```
induction n, m using ackermann.induct
```
* The termination checker now recognizes more recursion patterns without an
explicit `termination_by`. In particular the idiom of counting up to an upper
bound, as in
```
def Array.sum (arr : Array Nat) (i acc : Nat) : Nat :=
if _ : i < arr.size then
Array.sum arr (i+1) (acc + arr[i])
else
acc
```
is recognized without having to say `termination_by arr.size - i`.
* Attribute `@[pp_using_anonymous_constructor]` to make structures pretty print like `⟨x, y, z⟩`
rather than `{a := x, b := y, c := z}`.
This attribute is applied to `Sigma`, `PSigma`, `PProd`, `Subtype`, `And`, and `Fin`.
* Now structure instances pretty print with parent structures' fields inlined.
That is, if `B` extends `A`, then `{ toA := { x := 1 }, y := 2 }` now pretty prints as `{ x := 1, y := 2 }`.
Setting option `pp.structureInstances.flatten` to false turns this off.
* Option `pp.structureProjections` is renamed to `pp.fieldNotation`, and there is now a suboption `pp.fieldNotation.generalized`
to enable pretty printing function applications using generalized field notation (defaults to true).
Field notation can be disabled on a function-by-function basis using the `@[pp_nodot]` attribute.
* Added options `pp.mvars` (default: true) and `pp.mvars.withType` (default: false).
When `pp.mvars` is false, metavariables pretty print as `?_`,
and when `pp.mvars.withType` is true, metavariables pretty print with a type ascription.
These can be set when using `#guard_msgs` to make tests not rely on the unique ids assigned to anonymous metavariables.
[#3798](https://github.com/leanprover/lean4/pull/3798).
* Added `@[induction_eliminator]` and `@[cases_eliminator]` attributes to be able to define custom eliminators
for the `induction` and `cases` tactics, replacing the `@[eliminator]` attribute.
Gives custom eliminators for `Nat` so that `induction` and `cases` put goal states into terms of `0` and `n + 1`
rather than `Nat.zero` and `Nat.succ n`.
Added option `tactic.customEliminators` to control whether to use custom eliminators.
[#3629](https://github.com/leanprover/lean4/pull/3629) and
[#3655](https://github.com/leanprover/lean4/pull/3655).
Breaking changes:
* Automatically generated equational theorems are now named using suffix `.eq_<idx>` instead of `._eq_<idx>`, and `.def` instead of `._unfold`. Example:
```
def fact : Nat → Nat
| 0 => 1
| n+1 => (n+1) * fact n
theorem ex : fact 0 = 1 := by unfold fact; decide
#check fact.eq_1
-- fact.eq_1 : fact 0 = 1
#check fact.eq_2
-- fact.eq_2 (n : Nat) : fact (Nat.succ n) = (n + 1) * fact n
#check fact.def
/-
fact.def :
∀ (x : Nat),
fact x =
match x with
| 0 => 1
| Nat.succ n => (n + 1) * fact n
-/
```
* The coercion from `String` to `Name` was removed. Previously, it was `Name.mkSimple`, which does not separate strings at dots, but experience showed that this is not always the desired coercion. For the previous behavior, manually insert a call to `Name.mkSimple`.
v4.7.0
---------
* `simp` and `rw` now use instance arguments found by unification,
rather than always resynthesizing. For backwards compatibility, the original behaviour is
available via `set_option tactic.skipAssignedInstances false`.
[#3507](https://github.com/leanprover/lean4/pull/3507) and
[#3509](https://github.com/leanprover/lean4/pull/3509).
* When the `pp.proofs` is false, now omitted proofs use `` rather than `_`,
which gives a more helpful error message when copied from the Infoview.
The `pp.proofs.threshold` option lets small proofs always be pretty printed.
[#3241](https://github.com/leanprover/lean4/pull/3241).
* `pp.proofs.withType` is now set to false by default to reduce noise in the info view.
* The pretty printer for applications now handles the case of over-application itself when applying app unexpanders.
In particular, the ``| `($_ $a $b $xs*) => `(($a + $b) $xs*)`` case of an `app_unexpander` is no longer necessary.
[#3495](https://github.com/leanprover/lean4/pull/3495).
* New `simp` (and `dsimp`) configuration option: `zetaDelta`. It is `false` by default.
The `zeta` option is still `true` by default, but their meaning has changed.
- When `zeta := true`, `simp` and `dsimp` reduce terms of the form
`let x := val; e[x]` into `e[val]`.
- When `zetaDelta := true`, `simp` and `dsimp` will expand let-variables in
the context. For example, suppose the context contains `x := val`. Then,
any occurrence of `x` is replaced with `val`.
See [issue #2682](https://github.com/leanprover/lean4/pull/2682) for additional details. Here are some examples:
```
example (h : z = 9) : let x := 5; let y := 4; x + y = z := by
intro x
simp
/-
New goal:
h : z = 9; x := 5 |- x + 4 = z
-/
rw [h]
example (h : z = 9) : let x := 5; let y := 4; x + y = z := by
intro x
-- Using both `zeta` and `zetaDelta`.
simp (config := { zetaDelta := true })
/-
New goal:
h : z = 9; x := 5 |- 9 = z
-/
rw [h]
example (h : z = 9) : let x := 5; let y := 4; x + y = z := by
intro x
simp [x] -- asks `simp` to unfold `x`
/-
New goal:
h : z = 9; x := 5 |- 9 = z
-/
rw [h]
example (h : z = 9) : let x := 5; let y := 4; x + y = z := by
intro x
simp (config := { zetaDelta := true, zeta := false })
/-
New goal:
h : z = 9; x := 5 |- let y := 4; 5 + y = z
-/
rw [h]
```
* When adding new local theorems to `simp`, the system assumes that the function application arguments
have been annotated with `no_index`. This modification, which addresses [issue #2670](https://github.com/leanprover/lean4/issues/2670),
restores the Lean 3 behavior that users expect. With this modification, the following examples are now operational:
```
example {α β : Type} {f : α × β → β → β} (h : ∀ p : α × β, f p p.2 = p.2)
(a : α) (b : β) : f (a, b) b = b := by
simp [h]
example {α β : Type} {f : α × β → β → β}
(a : α) (b : β) (h : f (a,b) (a,b).2 = (a,b).2) : f (a, b) b = b := by
simp [h]
```
In both cases, `h` is applicable because `simp` does not index f-arguments anymore when adding `h` to the `simp`-set.
It's important to note, however, that global theorems continue to be indexed in the usual manner.
* Improved the error messages produced by the `decide` tactic. [#3422](https://github.com/leanprover/lean4/pull/3422)
* Improved auto-completion performance. [#3460](https://github.com/leanprover/lean4/pull/3460)
* Improved initial language server startup performance. [#3552](https://github.com/leanprover/lean4/pull/3552)
* Changed call hierarchy to sort entries and strip private header from names displayed in the call hierarchy. [#3482](https://github.com/leanprover/lean4/pull/3482)
* There is now a low-level error recovery combinator in the parsing framework, primarily intended for DSLs. [#3413](https://github.com/leanprover/lean4/pull/3413)
* You can now write `termination_by?` after a declaration to see the automatically inferred
termination argument, and turn it into a `termination_by …` clause using the “Try this” widget or a code action. [#3514](https://github.com/leanprover/lean4/pull/3514)
* A large fraction of `Std` has been moved into the Lean repository.
This was motivated by:
1. Making universally useful tactics such as `ext`, `by_cases`, `change at`,
`norm_cast`, `rcases`, `simpa`, `simp?`, `omega`, and `exact?`
available to all users of Lean, without imports.
2. Minimizing the syntactic changes between plain Lean and Lean with `import Std`.
3. Simplifying the development process for the basic data types
`Nat`, `Int`, `Fin` (and variants such as `UInt64`), `List`, `Array`,
and `BitVec` as we begin making the APIs and simp normal forms for these types
more complete and consistent.
4. Laying the groundwork for the Std roadmap, as a library focused on
essential datatypes not provided by the core langauge (e.g. `RBMap`)
and utilities such as basic IO.
While we have achieved most of our initial aims in `v4.7.0-rc1`,
some upstreaming will continue over the coming months.
* The `/` and `%` notations in `Int` now use `Int.ediv` and `Int.emod`
(i.e. the rounding conventions have changed).
Previously `Std` overrode these notations, so this is no change for users of `Std`.
There is now kernel support for these functions.
[#3376](https://github.com/leanprover/lean4/pull/3376).
* `omega`, our integer linear arithmetic tactic, is now availabe in the core langauge.
* It is supplemented by a preprocessing tactic `bv_omega` which can solve goals about `BitVec`
which naturally translate into linear arithmetic problems.
[#3435](https://github.com/leanprover/lean4/pull/3435).
* `omega` now has support for `Fin` [#3427](https://github.com/leanprover/lean4/pull/3427),
the `<<<` operator [#3433](https://github.com/leanprover/lean4/pull/3433).
* During the port `omega` was modified to no longer identify atoms up to definitional equality
(so in particular it can no longer prove `id x ≤ x`). [#3525](https://github.com/leanprover/lean4/pull/3525).
This may cause some regressions.
We plan to provide a general purpose preprocessing tactic later, or an `omega!` mode.
* `omega` is now invoked in Lean's automation for termination proofs
[#3503](https://github.com/leanprover/lean4/pull/3503) as well as in
array indexing proofs [#3515](https://github.com/leanprover/lean4/pull/3515).
This automation will be substantially revised in the medium term,
and while `omega` does help automate some proofs, we plan to make this much more robust.
* The library search tactics `exact?` and `apply?` that were originally in
Mathlib are now available in Lean itself. These use the implementation using
lazy discrimination trees from `Std`, and thus do not require a disk cache but
have a slightly longer startup time. The order used for selection lemmas has
changed as well to favor goals purely based on how many terms in the head
pattern match the current goal.
* The `solve_by_elim` tactic has been ported from `Std` to Lean so that library
search can use it.
* New `#check_tactic` and `#check_simp` commands have been added. These are
useful for checking tactics (particularly `simp`) behave as expected in test
suites.
* Previously, app unexpanders would only be applied to entire applications. However, some notations produce
functions, and these functions can be given additional arguments. The solution so far has been to write app unexpanders so that they can take an arbitrary number of additional arguments. However this leads to misleading hover information in the Infoview. For example, while `HAdd.hAdd f g 1` pretty prints as `(f + g) 1`, hovering over `f + g` shows `f`. There is no way to fix the situation from within an app unexpander; the expression position for `HAdd.hAdd f g` is absent, and app unexpanders cannot register TermInfo.
This commit changes the app delaborator to try running app unexpanders on every prefix of an application, from longest to shortest prefix. For efficiency, it is careful to only try this when app delaborators do in fact exist for the head constant, and it also ensures arguments are only delaborated once. Then, in `(f + g) 1`, the `f + g` gets TermInfo registered for that subexpression, making it properly hoverable.
[#3375](https://github.com/leanprover/lean4/pull/3375)
Breaking changes:
* `Lean.withTraceNode` and variants got a stronger `MonadAlwaysExcept` assumption to
fix trace trees not being built on elaboration runtime exceptions. Instances for most elaboration
monads built on `EIO Exception` should be synthesized automatically.
* The `match ... with.` and `fun.` notations previously in Std have been replaced by
`nomatch ...` and `nofun`. [#3279](https://github.com/leanprover/lean4/pull/3279) and [#3286](https://github.com/leanprover/lean4/pull/3286)
Other improvements:
* several bug fixes for `simp`:
* we should not crash when `simp` loops [#3269](https://github.com/leanprover/lean4/pull/3269)
* `simp` gets stuck on `autoParam` [#3315](https://github.com/leanprover/lean4/pull/3315)
* `simp` fails when custom discharger makes no progress [#3317](https://github.com/leanprover/lean4/pull/3317)
* `simp` fails to discharge `autoParam` premises even when it can reduce them to `True` [#3314](https://github.com/leanprover/lean4/pull/3314)
* `simp?` suggests generated equations lemma names, fixes [#3547](https://github.com/leanprover/lean4/pull/3547) [#3573](https://github.com/leanprover/lean4/pull/3573)
* fixes for `match` expressions:
* fix regression with builtin literals [#3521](https://github.com/leanprover/lean4/pull/3521)
* accept `match` when patterns cover all cases of a `BitVec` finite type [#3538](https://github.com/leanprover/lean4/pull/3538)
* fix matching `Int` literals [#3504](https://github.com/leanprover/lean4/pull/3504)
* patterns containing int values and constructors [#3496](https://github.com/leanprover/lean4/pull/3496)
* improve `termination_by` error messages [#3255](https://github.com/leanprover/lean4/pull/3255)
* fix `rename_i` in macros, fixes [#3553](https://github.com/leanprover/lean4/pull/3553) [#3581](https://github.com/leanprover/lean4/pull/3581)
* fix excessive resource usage in `generalize`, fixes [#3524](https://github.com/leanprover/lean4/pull/3524) [#3575](https://github.com/leanprover/lean4/pull/3575)
* an equation lemma with autoParam arguments fails to rewrite, fixing [#2243](https://github.com/leanprover/lean4/pull/2243) [#3316](https://github.com/leanprover/lean4/pull/3316)
* `add_decl_doc` should check that declarations are local [#3311](https://github.com/leanprover/lean4/pull/3311)
* instantiate the types of inductives with the right parameters, closing [#3242](https://github.com/leanprover/lean4/pull/3242) [#3246](https://github.com/leanprover/lean4/pull/3246)
* New simprocs for many basic types. [#3407](https://github.com/leanprover/lean4/pull/3407)
Lake fixes:
* Warn on fetch cloud release failure [#3401](https://github.com/leanprover/lean4/pull/3401)
* Cloud release trace & `lake build :release` errors [#3248](https://github.com/leanprover/lean4/pull/3248)
v4.6.1
---------
* Backport of [#3552](https://github.com/leanprover/lean4/pull/3552) fixing a performance regression
in server startup.
v4.6.0
---------
* Add custom simplification procedures (aka `simproc`s) to `simp`. Simprocs can be triggered by the simplifier on a specified term-pattern. Here is an small example:
```lean
import Lean.Meta.Tactic.Simp.BuiltinSimprocs.Nat
def foo (x : Nat) : Nat :=
x + 10
/--
The `simproc` `reduceFoo` is invoked on terms that match the pattern `foo _`.
-/
simproc reduceFoo (foo _) :=
/- A term of type `Expr → SimpM Step -/
fun e => do
/-
The `Step` type has three constructors: `.done`, `.visit`, `.continue`.
* The constructor `.done` instructs `simp` that the result does
not need to be simplied further.
* The constructor `.visit` instructs `simp` to visit the resulting expression.
* The constructor `.continue` instructs `simp` to try other simplification procedures.
All three constructors take a `Result`. The `.continue` contructor may also take `none`.
`Result` has two fields `expr` (the new expression), and `proof?` (an optional proof).
If the new expression is definitionally equal to the input one, then `proof?` can be omitted or set to `none`.
-/
/- `simp` uses matching modulo reducibility. So, we ensure the term is a `foo`-application. -/
unless e.isAppOfArity ``foo 1 do
return .continue
/- `Nat.fromExpr?` tries to convert an expression into a `Nat` value -/
let some n ← Nat.fromExpr? e.appArg!
| return .continue
return .done { expr := Lean.mkNatLit (n+10) }
```
We disable simprocs support by using the command `set_option simprocs false`. This command is particularly useful when porting files to v4.6.0.
Simprocs can be scoped, manually added to `simp` commands, and suppressed using `-`. They are also supported by `simp?`. `simp only` does not execute any `simproc`. Here are some examples for the `simproc` defined above.
```lean
example : x + foo 2 = 12 + x := by
set_option simprocs false in
/- This `simp` command does not make progress since `simproc`s are disabled. -/
fail_if_success simp
simp_arith
example : x + foo 2 = 12 + x := by
/- `simp only` must not use the default simproc set. -/
fail_if_success simp only
simp_arith
example : x + foo 2 = 12 + x := by
/-
`simp only` does not use the default simproc set,
but we can provide simprocs as arguments. -/
simp only [reduceFoo]
simp_arith
example : x + foo 2 = 12 + x := by
/- We can use `-` to disable `simproc`s. -/
fail_if_success simp [-reduceFoo]
simp_arith
```
The command `register_simp_attr <id>` now creates a `simp` **and** a `simproc` set with the name `<id>`. The following command instructs Lean to insert the `reduceFoo` simplification procedure into the set `my_simp`. If no set is specified, Lean uses the default `simp` set.
```lean
simproc [my_simp] reduceFoo (foo _) := ...
```
* The syntax of the `termination_by` and `decreasing_by` termination hints is overhauled:
* They are now placed directly after the function they apply to, instead of
after the whole `mutual` block.
* Therefore, the function name no longer has to be mentioned in the hint.
* If the function has a `where` clause, the `termination_by` and
`decreasing_by` for that function come before the `where`. The
functions in the `where` clause can have their own termination hints, each
following the corresponding definition.
* The `termination_by` clause can only bind “extra parameters”, that are not
already bound by the function header, but are bound in a lambda (`:= fun x
y z =>`) or in patterns (`| x, n + 1 => …`). These extra parameters used to
be understood as a suffix of the function parameters; now it is a prefix.
Migration guide: In simple cases just remove the function name, and any
variables already bound at the header.
```diff
def foo : Nat → Nat → Nat := …
-termination_by foo a b => a - b
+termination_by a b => a - b
```
or
```diff
def foo : Nat → Nat → Nat := …
-termination_by _ a b => a - b
+termination_by a b => a - b
```
If the parameters are bound in the function header (before the `:`), remove them as well:
```diff
def foo (a b : Nat) : Nat := …
-termination_by foo a b => a - b
+termination_by a - b
```
Else, if there are multiple extra parameters, make sure to refer to the right
ones; the bound variables are interpreted from left to right, no longer from
right to left:
```diff
def foo : Nat → Nat → Nat → Nat
| a, b, c => …
-termination_by foo b c => b
+termination_by a b => b
```
In the case of a `mutual` block, place the termination arguments (without the
function name) next to the function definition:
```diff
-mutual
-def foo : Nat → Nat → Nat := …
-def bar : Nat → Nat := …
-end
-termination_by
- foo a b => a - b
- bar a => a
+mutual
+def foo : Nat → Nat → Nat := …
+termination_by a b => a - b
+def bar : Nat → Nat := …
+termination_by a => a
+end
```
Similarly, if you have (mutual) recursion through `where` or `let rec`, the
termination hints are now placed directly after the function they apply to:
```diff
-def foo (a b : Nat) : Nat := …
- where bar (x : Nat) : Nat := …
-termination_by
- foo a b => a - b
- bar x => x
+def foo (a b : Nat) : Nat := …
+termination_by a - b
+ where
+ bar (x : Nat) : Nat := …
+ termination_by x
-def foo (a b : Nat) : Nat :=
- let rec bar (x : Nat) : Nat := …
- …
-termination_by
- foo a b => a - b
- bar x => x
+def foo (a b : Nat) : Nat :=
+ let rec bar (x : Nat) : Nat := …
+ termination_by x
+ …
+termination_by a - b
```
In cases where a single `decreasing_by` clause applied to multiple mutually
recursive functions before, the tactic now has to be duplicated.
* The semantics of `decreasing_by` changed; the tactic is applied to all
termination proof goals together, not individually.
This helps when writing termination proofs interactively, as one can focus
each subgoal individually, for example using `·`. Previously, the given
tactic script had to work for _all_ goals, and one had to resort to tactic
combinators like `first`:
```diff
def foo (n : Nat) := … foo e1 … foo e2 …
-decreasing_by
-simp_wf
-first | apply something_about_e1; …
- | apply something_about_e2; …
+decreasing_by
+all_goals simp_wf
+· apply something_about_e1; …
+· apply something_about_e2; …
```
To obtain the old behaviour of applying a tactic to each goal individually,
use `all_goals`:
```diff
def foo (n : Nat) := …
-decreasing_by some_tactic
+decreasing_by all_goals some_tactic
```
In the case of mutual recursion each `decreasing_by` now applies to just its
function. If some functions in a recursive group do not have their own
`decreasing_by`, the default `decreasing_tactic` is used. If the same tactic
ought to be applied to multiple functions, the `decreasing_by` clause has to
be repeated at each of these functions.
* Modify `InfoTree.context` to facilitate augmenting it with partial contexts while elaborating a command. This breaks backwards compatibility with all downstream projects that traverse the `InfoTree` manually instead of going through the functions in `InfoUtils.lean`, as well as those manually creating and saving `InfoTree`s. See [PR #3159](https://github.com/leanprover/lean4/pull/3159) for how to migrate your code.
* Add language server support for [call hierarchy requests](https://www.youtube.com/watch?v=r5LA7ivUb2c) ([PR #3082](https://github.com/leanprover/lean4/pull/3082)). The change to the .ilean format in this PR means that projects must be fully rebuilt once in order to generate .ilean files with the new format before features like "find references" work correctly again.
* Structure instances with multiple sources (for example `{a, b, c with x := 0}`) now have their fields filled from these sources
in strict left-to-right order. Furthermore, the structure instance elaborator now aggressively use sources to fill in subobject
fields, which prevents unnecessary eta expansion of the sources,
and hence greatly reduces the reliance on costly structure eta reduction. This has a large impact on mathlib,
reducing total CPU instructions by 3% and enabling impactful refactors like leanprover-community/mathlib4#8386
which reduces the build time by almost 20%.
See [PR #2478](https://github.com/leanprover/lean4/pull/2478) and [RFC #2451](https://github.com/leanprover/lean4/issues/2451).
* Add pretty printer settings to omit deeply nested terms (`pp.deepTerms false` and `pp.deepTerms.threshold`) ([PR #3201](https://github.com/leanprover/lean4/pull/3201))
* Add pretty printer options `pp.numeralTypes` and `pp.natLit`.
When `pp.numeralTypes` is true, then natural number literals, integer literals, and rational number literals
are pretty printed with type ascriptions, such as `(2 : Rat)`, `(-2 : Rat)`, and `(-2 / 3 : Rat)`.
When `pp.natLit` is true, then raw natural number literals are pretty printed as `nat_lit 2`.
[PR #2933](https://github.com/leanprover/lean4/pull/2933) and [RFC #3021](https://github.com/leanprover/lean4/issues/3021).
Lake updates:
* improved platform information & control [#3226](https://github.com/leanprover/lean4/pull/3226)
* `lake update` from unsupported manifest versions [#3149](https://github.com/leanprover/lean4/pull/3149)
Other improvements:
* make `intro` be aware of `let_fun` [#3115](https://github.com/leanprover/lean4/pull/3115)
* produce simpler proof terms in `rw` [#3121](https://github.com/leanprover/lean4/pull/3121)
* fuse nested `mkCongrArg` calls in proofs generated by `simp` [#3203](https://github.com/leanprover/lean4/pull/3203)
* `induction using` followed by a general term [#3188](https://github.com/leanprover/lean4/pull/3188)
* allow generalization in `let` [#3060](https://github.com/leanprover/lean4/pull/3060), fixing [#3065](https://github.com/leanprover/lean4/issues/3065)
* reducing out-of-bounds `swap!` should return `a`, not `default`` [#3197](https://github.com/leanprover/lean4/pull/3197), fixing [#3196](https://github.com/leanprover/lean4/issues/3196)
* derive `BEq` on structure with `Prop`-fields [#3191](https://github.com/leanprover/lean4/pull/3191), fixing [#3140](https://github.com/leanprover/lean4/issues/3140)
* refine through more `casesOnApp`/`matcherApp` [#3176](https://github.com/leanprover/lean4/pull/3176), fixing [#3175](https://github.com/leanprover/lean4/pull/3175)
* do not strip dotted components from lean module names [#2994](https://github.com/leanprover/lean4/pull/2994), fixing [#2999](https://github.com/leanprover/lean4/issues/2999)
* fix `deriving` only deriving the first declaration for some handlers [#3058](https://github.com/leanprover/lean4/pull/3058), fixing [#3057](https://github.com/leanprover/lean4/issues/3057)
* do not instantiate metavariables in kabstract/rw for disallowed occurrences [#2539](https://github.com/leanprover/lean4/pull/2539), fixing [#2538](https://github.com/leanprover/lean4/issues/2538)
* hover info for `cases h : ...` [#3084](https://github.com/leanprover/lean4/pull/3084)
v4.5.0
---------
* Modify the lexical syntax of string literals to have string gaps, which are escape sequences of the form `"\" newline whitespace*`.
These have the interpetation of an empty string and allow a string to flow across multiple lines without introducing additional whitespace.
The following is equivalent to `"this is a string"`.
```lean
"this is \
a string"
```
[PR #2821](https://github.com/leanprover/lean4/pull/2821) and [RFC #2838](https://github.com/leanprover/lean4/issues/2838).
* Add raw string literal syntax. For example, `r"\n"` is equivalent to `"\\n"`, with no escape processing.
To include double quote characters in a raw string one can add sufficiently many `#` characters before and after
the bounding `"`s, as in `r#"the "the" is in quotes"#` for `"the \"the\" is in quotes"`.
[PR #2929](https://github.com/leanprover/lean4/pull/2929) and [issue #1422](https://github.com/leanprover/lean4/issues/1422).
* The low-level `termination_by'` clause is no longer supported.
Migration guide: Use `termination_by` instead, e.g.:
```diff
-termination_by' measure (fun ⟨i, _⟩ => as.size - i)
+termination_by i _ => as.size - i
```
If the well-founded relation you want to use is not the one that the
`WellFoundedRelation` type class would infer for your termination argument,
you can use `WellFounded.wrap` from the std libarary to explicitly give one:
```diff
-termination_by' ⟨r, hwf⟩
+termination_by x => hwf.wrap x
```
* Support snippet edits in LSP `TextEdit`s. See `Lean.Lsp.SnippetString` for more details.
* Deprecations and changes in the widget API.
- `Widget.UserWidgetDefinition` is deprecated in favour of `Widget.Module`. The annotation `@[widget]` is deprecated in favour of `@[widget_module]`. To migrate a definition of type `UserWidgetDefinition`, remove the `name` field and replace the type with `Widget.Module`. Removing the `name` results in a title bar no longer being drawn above your panel widget. To add it back, draw it as part of the component using `<details open=true><summary class='mv2 pointer'>{name}</summary>{rest_of_widget}</details>`. See an example migration [here](https://github.com/leanprover/std4/pull/475/files#diff-857376079661a0c28a53b7ff84701afabbdf529836a6944d106c5294f0e68109R43-R83).
- The new command `show_panel_widgets` allows displaying always-on and locally-on panel widgets.
- `RpcEncodable` widget props can now be stored in the infotree.
- See [RFC 2963](https://github.com/leanprover/lean4/issues/2963) for more details and motivation.
* If no usable lexicographic order can be found automatically for a termination proof, explain why.
See [feat: GuessLex: if no measure is found, explain why](https://github.com/leanprover/lean4/pull/2960).
* Option to print [inferred termination argument](https://github.com/leanprover/lean4/pull/3012).
With `set_option showInferredTerminationBy true` you will get messages like
```
Inferred termination argument:
termination_by
ackermann n m => (sizeOf n, sizeOf m)
```
for automatically generated `termination_by` clauses.
* More detailed error messages for [invalid mutual blocks](https://github.com/leanprover/lean4/pull/2949).
* [Multiple](https://github.com/leanprover/lean4/pull/2923) [improvements](https://github.com/leanprover/lean4/pull/2969) to the output of `simp?` and `simp_all?`.
* Tactics with `withLocation *` [no longer fail](https://github.com/leanprover/lean4/pull/2917) if they close the main goal.
* Implementation of a `test_extern` command for writing tests for `@[extern]` and `@[implemented_by]` functions.
Usage is
```
import Lean.Util.TestExtern
test_extern Nat.add 17 37
```
The head symbol must be the constant with the `@[extern]` or `@[implemented_by]` attribute. The return type must have a `DecidableEq` instance.
Bug fixes for
[#2853](https://github.com/leanprover/lean4/issues/2853), [#2953](https://github.com/leanprover/lean4/issues/2953), [#2966](https://github.com/leanprover/lean4/issues/2966),
[#2971](https://github.com/leanprover/lean4/issues/2971), [#2990](https://github.com/leanprover/lean4/issues/2990), [#3094](https://github.com/leanprover/lean4/issues/3094).
Bug fix for [eager evaluation of default value](https://github.com/leanprover/lean4/pull/3043) in `Option.getD`.
Avoid [panic in `leanPosToLspPos`](https://github.com/leanprover/lean4/pull/3071) when file source is unavailable.
Improve [short-circuiting behavior](https://github.com/leanprover/lean4/pull/2972) for `List.all` and `List.any`.
Several Lake bug fixes: [#3036](https://github.com/leanprover/lean4/issues/3036), [#3064](https://github.com/leanprover/lean4/issues/3064), [#3069](https://github.com/leanprover/lean4/issues/3069).
v4.4.0
---------
* Lake and the language server now support per-package server options using the `moreServerOptions` config field, as well as options that apply to both the language server and `lean` using the `leanOptions` config field. Setting either of these fields instead of `moreServerArgs` ensures that viewing files from a dependency uses the options for that dependency. Additionally, `moreServerArgs` is being deprecated in favor of the `moreGlobalServerArgs` field. See PR [#2858](https://github.com/leanprover/lean4/pull/2858).
A Lakefile with the following deprecated package declaration:
```lean
def moreServerArgs := #[
"-Dpp.unicode.fun=true"
]
def moreLeanArgs := moreServerArgs
package SomePackage where
moreServerArgs := moreServerArgs
moreLeanArgs := moreLeanArgs
```
... can be updated to the following package declaration to use per-package options:
```lean
package SomePackage where
leanOptions := #[⟨`pp.unicode.fun, true⟩]
```
* [Rename request handler](https://github.com/leanprover/lean4/pull/2462).
* [Import auto-completion](https://github.com/leanprover/lean4/pull/2904).
* [`pp.beta`` to apply beta reduction when pretty printing](https://github.com/leanprover/lean4/pull/2864).
* [Embed and check githash in .olean](https://github.com/leanprover/lean4/pull/2766).
* [Guess lexicographic order for well-founded recursion](https://github.com/leanprover/lean4/pull/2874).
* [Allow trailing comma in tuples, lists, and tactics](https://github.com/leanprover/lean4/pull/2643).
Bug fixes for [#2628](https://github.com/leanprover/lean4/issues/2628), [#2883](https://github.com/leanprover/lean4/issues/2883),
[#2810](https://github.com/leanprover/lean4/issues/2810), [#2925](https://github.com/leanprover/lean4/issues/2925), and [#2914](https://github.com/leanprover/lean4/issues/2914).
**Lake:**
* `lake init .` and a bare `lake init` and will now use the current directory as the package name. [#2890](https://github.com/leanprover/lean4/pull/2890)
* `lake new` and `lake init` will now produce errors on invalid package names such as `..`, `foo/bar`, `Init`, `Lean`, `Lake`, and `Main`. See issue [#2637](https://github.com/leanprover/lean4/issues/2637) and PR [#2890](https://github.com/leanprover/lean4/pull/2890).
* `lean_lib` no longer converts its name to upper camel case (e.g., `lean_lib bar` will include modules named `bar.*` rather than `Bar.*`). See issue [#2567](https://github.com/leanprover/lean4/issues/2567) and PR [#2889](https://github.com/leanprover/lean4/pull/2889).
* Lean and Lake now properly support non-identifier library names (e.g., `lake new 123-hello` and `import «123Hello»` now work correctly). See issue [#2865](https://github.com/leanprover/lean4/issues/2865) and PR [#2889](https://github.com/leanprover/lean4/pull/2888).
* Lake now filters the environment extensions loaded from a compiled configuration (`lakefile.olean`) to include only those relevant to Lake's workspace loading process. This resolves segmentation faults caused by environment extension type mismatches (e.g., when defining custom elaborators via `elab` in configurations). See issue [#2632](https://github.com/leanprover/lean4/issues/2632) and PR [#2896](https://github.com/leanprover/lean4/pull/2896).
* Cloud releases will now properly be re-unpacked if the build directory is removed. See PR [#2928](https://github.com/leanprover/lean4/pull/2928).
* Lake's `math` template has been simplified. See PR [#2930](https://github.com/leanprover/lean4/pull/2930).
* `lake exe <target>` now parses `target` like a build target (as the help text states it should) rather than as a basic name. For example, `lake exe @mathlib/runLinter` should now work. See PR [#2932](https://github.com/leanprover/lean4/pull/2932).
* `lake new foo.bar [std]` now generates executables named `foo-bar` and `lake new foo.bar exe` properly creates `foo/bar.lean`. See PR [#2932](https://github.com/leanprover/lean4/pull/2932).
* Later packages and libraries in the dependency tree are now preferred over earlier ones. That is, the later ones "shadow" the earlier ones. Such an ordering is more consistent with how declarations generally work in programming languages. This will break any package that relied on the previous ordering. See issue [#2548](https://github.com/leanprover/lean4/issues/2548) and PR [#2937](https://github.com/leanprover/lean4/pull/2937).
* Executable roots are no longer mistakenly treated as importable. They will no longer be picked up by `findModule?`. See PR [#2937](https://github.com/leanprover/lean4/pull/2937).
v4.3.0
---------
* `simp [f]` does not unfold partial applications of `f` anymore. See issue [#2042](https://github.com/leanprover/lean4/issues/2042).
To fix proofs affected by this change, use `unfold f` or `simp (config := { unfoldPartialApp := true }) [f]`.
* By default, `simp` will no longer try to use Decidable instances to rewrite terms. In particular, not all decidable goals will be closed by `simp`, and the `decide` tactic may be useful in such cases. The `decide` simp configuration option can be used to locally restore the old `simp` behavior, as in `simp (config := {decide := true})`; this includes using Decidable instances to verify side goals such as numeric inequalities.
* Many bug fixes:
* [Add left/right actions to term tree coercion elaborator and make `^`` a right action](https://github.com/leanprover/lean4/pull/2778)
* [Fix for #2775, don't catch max recursion depth errors](https://github.com/leanprover/lean4/pull/2790)
* [Reduction of `Decidable` instances very slow when using `cases` tactic](https://github.com/leanprover/lean4/issues/2552)
* [`simp` not rewriting in binder](https://github.com/leanprover/lean4/issues/1926)
* [`simp` unfolding `let` even with `zeta := false` option](https://github.com/leanprover/lean4/issues/2669)
* [`simp` (with beta/zeta disabled) and discrimination trees](https://github.com/leanprover/lean4/issues/2281)
* [unknown free variable introduced by `rw ... at h`](https://github.com/leanprover/lean4/issues/2711)
* [`dsimp` doesn't use `rfl` theorems which consist of an unapplied constant](https://github.com/leanprover/lean4/issues/2685)
* [`dsimp` does not close reflexive equality goals if they are wrapped in metadata](https://github.com/leanprover/lean4/issues/2514)
* [`rw [h]` uses `h` from the environment in preference to `h` from the local context](https://github.com/leanprover/lean4/issues/2729)
* [missing `withAssignableSyntheticOpaque` for `assumption` tactic](https://github.com/leanprover/lean4/issues/2361)
* [ignoring default value for field warning](https://github.com/leanprover/lean4/issues/2178)
* [Cancel outstanding tasks on document edit in the language server](https://github.com/leanprover/lean4/pull/2648).
* [Remove unnecessary `%` operations in `Fin.mod` and `Fin.div`](https://github.com/leanprover/lean4/pull/2688)
* [Avoid `DecidableEq` in `Array.mem`](https://github.com/leanprover/lean4/pull/2774)
* [Ensure `USize.size` unifies with `?m + 1`](https://github.com/leanprover/lean4/issues/1926)
* [Improve compatibility with emacs eglot client](https://github.com/leanprover/lean4/pull/2721)
**Lake:**
* [Sensible defaults for `lake new MyProject math`](https://github.com/leanprover/lean4/pull/2770)
* Changed `postUpdate?` configuration option to a `post_update` declaration. See the `post_update` syntax docstring for more information on the new syntax.
* [A manifest is automatically created on workspace load if one does not exists.](https://github.com/leanprover/lean4/pull/2680).
* The `:=` syntax for configuration declarations (i.e., `package`, `lean_lib`, and `lean_exe`) has been deprecated. For example, `package foo := {...}` is deprecated.
* [support for overriding package URLs via `LAKE_PKG_URL_MAP`](https://github.com/leanprover/lean4/pull/2709)
* Moved the default build directory (e.g., `build`), default packages directory (e.g., `lake-packages`), and the compiled configuration (e.g., `lakefile.olean`) into a new dedicated directory for Lake outputs, `.lake`. The cloud release build archives are also stored here, fixing [#2713](https://github.com/leanprover/lean4/issues/2713).
* Update manifest format to version 7 (see [lean4#2801](https://github.com/leanprover/lean4/pull/2801) for details on the changes).
* Deprecate the `manifestFile` field of a package configuration.
* There is now a more rigorous check on `lakefile.olean` compatibility (see [#2842](https://github.com/leanprover/lean4/pull/2842) for more details).
v4.2.0
---------
* [isDefEq cache for terms not containing metavariables.](https://github.com/leanprover/lean4/pull/2644).
* Make [`Environment.mk`](https://github.com/leanprover/lean4/pull/2604) and [`Environment.add`](https://github.com/leanprover/lean4/pull/2642) private, and add [`replay`](https://github.com/leanprover/lean4/pull/2617) as a safer alternative.
* `IO.Process.output` no longer inherits the standard input of the caller.
* [Do not inhibit caching](https://github.com/leanprover/lean4/pull/2612) of default-level `match` reduction.
* [List the valid case tags](https://github.com/leanprover/lean4/pull/2629) when the user writes an invalid one.
* The derive handler for `DecidableEq` [now handles](https://github.com/leanprover/lean4/pull/2591) mutual inductive types.
* [Show path of failed import in Lake](https://github.com/leanprover/lean4/pull/2616).
* [Fix linker warnings on macOS](https://github.com/leanprover/lean4/pull/2598).
* **Lake:** Add `postUpdate?` package configuration option. Used by a package to specify some code which should be run after a successful `lake update` of the package or one of its downstream dependencies. ([lake#185](https://github.com/leanprover/lake/issues/185))
* Improvements to Lake startup time ([#2572](https://github.com/leanprover/lean4/pull/2572), [#2573](https://github.com/leanprover/lean4/pull/2573))
* `refine e` now replaces the main goal with metavariables which were created during elaboration of `e` and no longer captures pre-existing metavariables that occur in `e` ([#2502](https://github.com/leanprover/lean4/pull/2502)).
* This is accomplished via changes to `withCollectingNewGoalsFrom`, which also affects `elabTermWithHoles`, `refine'`, `calc` (tactic), and `specialize`. Likewise, all of these now only include newly-created metavariables in their output.
* Previously, both newly-created and pre-existing metavariables occurring in `e` were returned inconsistently in different edge cases, causing duplicated goals in the infoview (issue [#2495](https://github.com/leanprover/lean4/issues/2495)), erroneously closed goals (issue [#2434](https://github.com/leanprover/lean4/issues/2434)), and unintuitive behavior due to `refine e` capturing previously-created goals appearing unexpectedly in `e` (no issue; see PR).
v4.1.0
---------
* The error positioning on missing tokens has been [improved](https://github.com/leanprover/lean4/pull/2393). In particular, this should make it easier to spot errors in incomplete tactic proofs.
* After elaborating a configuration file, Lake will now cache the configuration to a `lakefile.olean`. Subsequent runs of Lake will import this OLean instead of elaborating the configuration file. This provides a significant performance improvement (benchmarks indicate that using the OLean cuts Lake's startup time in half), but there are some important details to keep in mind:
+ Lake will regenerate this OLean after each modification to the `lakefile.lean` or `lean-toolchain`. You can also force a reconfigure by passing the new `--reconfigure` / `-R` option to `lake`.
+ Lake configuration options (i.e., `-K`) will be fixed at the moment of elaboration. Setting these options when `lake` is using the cached configuration will have no effect. To change options, run `lake` with `-R` / `--reconfigure`.
+ **The `lakefile.olean` is a local configuration and should not be committed to Git. Therefore, existing Lake packages need to add it to their `.gitignore`.**
* The signature of `Lake.buildO` has changed, `args` has been split into `weakArgs` and `traceArgs`. `traceArgs` are included in the input trace and `weakArgs` are not. See Lake's [FFI example](src/lake/examples/ffi/lib/lakefile.lean) for a demonstration of how to adapt to this change.
* The signatures of `Lean.importModules`, `Lean.Elab.headerToImports`, and `Lean.Elab.parseImports`
have [changed](https://github.com/leanprover/lean4/pull/2480) from taking `List Import` to `Array Import`.
* There is now [an `occs` field](https://github.com/leanprover/lean4/pull/2470)
in the configuration object for the `rewrite` tactic,
allowing control of which occurrences of a pattern should be rewritten.
This was previously a separate argument for `Lean.MVarId.rewrite`,
and this has been removed in favour of an additional field of `Rewrite.Config`.
It was not previously accessible from user tactics.
v4.0.0
---------
* [`Lean.Meta.getConst?` has been renamed](https://github.com/leanprover/lean4/pull/2454).
We have renamed `getConst?` to `getUnfoldableConst?` (and `getConstNoEx?` to `getUnfoldableConstNoEx?`).
These were not intended to be part of the public API, but downstream projects had been using them
(sometimes expecting different behaviour) incorrectly instead of `Lean.getConstInfo`.
* [`dsimp` / `simp` / `simp_all` now fail by default if they make no progress](https://github.com/leanprover/lean4/pull/2336).
This can be overridden with the `(config := { failIfUnchanged := false })` option.
This change was made to ease manual use of `simp` (with complicated goals it can be hard to tell if it was effective)
and to allow easier flow control in tactics internally using `simp`.
See the [summary discussion](https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/simp.20fails.20if.20no.20progress/near/380153295)
on zulip for more details.
* [`simp_all` now preserves order of hypotheses](https://github.com/leanprover/lean4/pull/2334).
In order to support the `failIfUnchanged` configuration option for `dsimp` / `simp` / `simp_all`
the way `simp_all` replaces hypotheses has changed.
In particular it is now more likely to preserve the order of hypotheses.
See [`simp_all` reorders hypotheses unnecessarily](https://github.com/leanprover/lean4/pull/2334).
(Previously all non-dependent propositional hypotheses were reverted and reintroduced.
Now only such hypotheses which were changed, or which come after a changed hypothesis,
are reverted and reintroduced.
This has the effect of preserving the ordering amongst the non-dependent propositional hypotheses,
but now any dependent or non-propositional hypotheses retain their position amongst the unchanged
non-dependent propositional hypotheses.)
This may affect proofs that use `rename_i`, `case ... =>`, or `next ... =>`.
* [New `have this` implementation](https://github.com/leanprover/lean4/pull/2247).
`this` is now a regular identifier again that is implicitly introduced by anonymous `have :=` for the remainder of the tactic block. It used to be a keyword that was visible in all scopes and led to unexpected behavior when explicitly used as a binder name.
* [Show typeclass and tactic names in profile output](https://github.com/leanprover/lean4/pull/2170).
* [Make `calc` require the sequence of relation/proof-s to have the same indentation](https://github.com/leanprover/lean4/pull/1844),
and [add `calc` alternative syntax allowing underscores `_` in the first relation](https://github.com/leanprover/lean4/pull/1844).
The flexible indentation in `calc` was often used to align the relation symbols:
```lean
example (x y : Nat) : (x + y) * (x + y) = x * x + y * x + x * y + y * y :=
calc
(x + y) * (x + y) = (x + y) * x + (x + y) * y := by rw [Nat.mul_add]
-- improper indentation
_ = x * x + y * x + (x + y) * y := by rw [Nat.add_mul]
_ = x * x + y * x + (x * y + y * y) := by rw [Nat.add_mul]
_ = x * x + y * x + x * y + y * y := by rw [←Nat.add_assoc]
```
This is no longer legal. The new syntax puts the first term right after the `calc` and each step has the same indentation:
```lean
example (x y : Nat) : (x + y) * (x + y) = x * x + y * x + x * y + y * y :=
calc (x + y) * (x + y)
_ = (x + y) * x + (x + y) * y := by rw [Nat.mul_add]
_ = x * x + y * x + (x + y) * y := by rw [Nat.add_mul]
_ = x * x + y * x + (x * y + y * y) := by rw [Nat.add_mul]
_ = x * x + y * x + x * y + y * y := by rw [←Nat.add_assoc]
```
* Update Lake to latest prerelease.
* [Make go-to-definition on a typeclass projection application go to the instance(s)](https://github.com/leanprover/lean4/pull/1767).
* [Include timings in trace messages when `profiler` is true](https://github.com/leanprover/lean4/pull/1995).
* [Pretty-print signatures in hover and `#check <ident>`](https://github.com/leanprover/lean4/pull/1943).
* [Introduce parser memoization to avoid exponential behavior](https://github.com/leanprover/lean4/pull/1799).
* [feat: allow `doSeq` in `let x <- e | seq`](https://github.com/leanprover/lean4/pull/1809).
* [Add hover/go-to-def/refs for options](https://github.com/leanprover/lean4/pull/1783).
* [Add empty type ascription syntax `(e :)`](https://github.com/leanprover/lean4/pull/1797).
* [Make tokens in `<|>` relevant to syntax match](https://github.com/leanprover/lean4/pull/1744).
* [Add `linter.deprecated` option to silence deprecation warnings](https://github.com/leanprover/lean4/pull/1768).
* [Improve fuzzy-matching heuristics](https://github.com/leanprover/lean4/pull/1710).
* [Implementation-detail hypotheses](https://github.com/leanprover/lean4/pull/1692).
* [Hover information for `cases`/`induction` case names](https://github.com/leanprover/lean4/pull/1660).
* [Prefer longer parse even if unsuccessful](https://github.com/leanprover/lean4/pull/1658).
* [Show declaration module in hover](https://github.com/leanprover/lean4/pull/1638).
* [New `conv` mode structuring tactics](https://github.com/leanprover/lean4/pull/1636).
* `simp` can track information and can print an equivalent `simp only`. [PR #1626](https://github.com/leanprover/lean4/pull/1626).
* Enforce uniform indentation in tactic blocks / do blocks. See issue [#1606](https://github.com/leanprover/lean4/issues/1606).
* Moved `AssocList`, `HashMap`, `HashSet`, `RBMap`, `RBSet`, `PersistentArray`, `PersistentHashMap`, `PersistentHashSet` to the Lean package. The [standard library](https://github.com/leanprover/std4) contains versions that will evolve independently to simplify bootstrapping process.
* Standard library moved to the [std4 GitHub repository](https://github.com/leanprover/std4).
* `InteractiveGoals` now has information that a client infoview can use to show what parts of the goal have changed after applying a tactic. [PR #1610](https://github.com/leanprover/lean4/pull/1610).
* Add `[inheritDoc]` attribute. [PR #1480](https://github.com/leanprover/lean4/pull/1480).
* Expose that `panic = default`. [PR #1614](https://github.com/leanprover/lean4/pull/1614).
* New [code generator](https://github.com/leanprover/lean4/tree/master/src/Lean/Compiler/LCNF) project has started.
* Remove description argument from `register_simp_attr`. [PR #1566](https://github.com/leanprover/lean4/pull/1566).
* [Additional concurrency primitives](https://github.com/leanprover/lean4/pull/1555).
* [Collapsible traces with messages](https://github.com/leanprover/lean4/pull/1448).
* [Hygienic resolution of namespaces](https://github.com/leanprover/lean4/pull/1442).
* [New `Float` functions](https://github.com/leanprover/lean4/pull/1460).
* Many new doc strings have been added to declarations at `Init`.
v4.0.0-m5 (07 August 2022)
---------
@@ -1365,7 +506,7 @@ v4.0.0-m5 (07 August 2022)
`Foo : {Foo : Type u} → List Foo → Type`.
* Fix syntax highlighting for recursive declarations. Example
* Fix syntax hightlighting for recursive declarations. Example
```lean
inductive List (α : Type u) where
| nil : List α -- `List` is not highlighted as a variable anymore
@@ -1418,7 +559,7 @@ v4.0.0-m5 (07 August 2022)
...
```
* Remove support for `{}` annotation from inductive datatype constructors. This annotation was barely used, and we can control the binder information for parameter bindings using the new inductive family indices to parameter promotion. Example: the following declaration using `{}`
* Remove support for `{}` annotation from inductive datatype contructors. This annotation was barely used, and we can control the binder information for parameter bindings using the new inductive family indices to parameter promotion. Example: the following declaration using `{}`
```lean
inductive LE' (n : Nat) : Nat → Prop where
| refl {} : LE' n n -- Want `n` to be explicit
@@ -1583,7 +724,7 @@ v4.0.0-m4 (23 March 2022)
initialize my_ext : SimpExtension ← registerSimpAttr `my_simp "my own simp attribute"
```
If you don't need to access `my_ext`, you can also use the macro
If you don't neet to acces `my_ext`, you can also use the macro
```lean
import Lean
@@ -1674,7 +815,7 @@ For example, given `f : Nat → Nat` and `g : Nat → Nat`, `f.comp g` is now no
* Various improvements to go-to-definition & find-all-references accuracy.
* Auto generated congruence lemmas with support for casts on proofs and `Decidable` instances (see [wishlist](https://github.com/leanprover/lean4/issues/988)).
* Auto generated congruence lemmas with support for casts on proofs and `Decidable` instances (see [whishlist](https://github.com/leanprover/lean4/issues/988)).
* Rename option `autoBoundImplicitLocal` => `autoImplicit`.

9
default.nix Normal file
View File

@@ -0,0 +1,9 @@
# used for `nix-shell https://github.com/leanprover/lean4/archive/master.tar.gz -A nix`
{ nix = (import ./shell.nix {}).nix; } //
(import (
fetchTarball {
url = "https://github.com/edolstra/flake-compat/archive/c75e76f80c57784a6734356315b306140646ee84.tar.gz";
sha256 = "071aal00zp2m9knnhddgr2wqzlx6i6qa1263lv1y7bdn2w20h10h"; }
) {
src = ./.;
}).defaultNix

View File

@@ -1,3 +1,4 @@
import Std
open Std
open Lean

View File

@@ -59,15 +59,6 @@
- [Thunk](./thunk.md)
- [Task and Thread](./task.md)
- [Functions](./functions.md)
- [Monads](./monads/intro.md)
- [Functor](./monads/functors.lean.md)
- [Applicative](./monads/applicatives.lean.md)
- [Monad](./monads/monads.lean.md)
- [Reader](./monads/readers.lean.md)
- [State](./monads/states.lean.md)
- [Except](./monads/except.lean.md)
- [Transformers](./monads/transformers.lean.md)
- [Laws](./monads/laws.lean.md)
# Other
@@ -75,7 +66,6 @@
- [Significant Changes from Lean 3](./lean3changes.md)
- [Syntax Highlighting Lean in LaTeX](./syntax_highlight_in_latex.md)
- [User Widgets](examples/widgets.lean.md)
- [Semantic Highlighting](./semantic_highlighting.md)
# Development
@@ -85,10 +75,10 @@
- [macOS Setup](./make/osx-10.9.md)
- [Windows MSYS2 Setup](./make/msys2.md)
- [Windows with WSL](./make/wsl.md)
- [Nix Setup (*Experimental*)](./make/nix.md)
- [Bootstrapping](./dev/bootstrap.md)
- [Testing](./dev/testing.md)
- [Debugging](./dev/debugging.md)
- [Commit Convention](./dev/commit_convention.md)
- [Release checklist](./dev/release_checklist.md)
- [Building This Manual](./dev/mdbook.md)
- [Foreign Function Interface](./dev/ffi.md)

View File

@@ -43,5 +43,3 @@ set_option autoImplicit false
-- def compose (g : β → γ) (f : α → β) (x : α) : γ :=
-- g (f x)
```
The Lean language server provides [semantic highlighting](./semantic_highlighting.md) information to editors, and it provides
visual feedback whether an identifier has been interpreted as an auto bound implicit argument.

View File

@@ -11,4 +11,4 @@ the following command executes a simple set of examples
% bin/lean examples/ex.lean
For more information on Lean and supported editors, please see https://lean-lang.org/documentation/.
For more information on Lean and supported editors, please see https://leanprover.github.io/documentation/.

File diff suppressed because it is too large Load Diff

View File

@@ -22,7 +22,7 @@ stage1/
lib/
lean/**/*.olean # the Lean library (incl. the compiler) compiled by the previous stage's `lean`
temp/**/*.{c,o} # the library extracted to C and compiled by `leanc`
libInit.a libLean.a # static libraries of the Lean library
libInit.a libStd.a libLean.a # static libraries of the Lean library
libleancpp.a # a static library of the C++ sources of Lean
libleanshared.so # a dynamic library including the static libraries above
bin/
@@ -65,24 +65,9 @@ You now have a Lean binary and library that include your changes, though their
own compilation was not influenced by them, that you can use to test your
changes on test programs whose compilation *will* be influenced by the changes.
## Updating stage0
Finally, when we want to use new language features in the library, we need to
update the archived C source code of the stage 0 compiler in `stage0/src`.
The github repository will automatically update stage0 on `master` once
`src/stdlib_flags.h` and `stage0/src/stdlib_flags.h` are out of sync.
If you have write access to the lean4 repository, you can also also manually
trigger that process, for example to be able to use new features in the compiler itself.
You can do that on <https://github.com/nomeata/lean4/actions/workflows/update-stage0.yml>
or using Github CLI with
```
gh workflow run update-stage0.yml
```
Leaving stage0 updates to the CI automation is preferable, but should you need to do it locally, you can use `make update-stage0-commit` in `build/release` to update `stage0` from `stage1` or `make -C stageN update-stage0-commit` to update from another stage.
This command will automatically stage the updated files and introduce a commit, so make sure to commit your work before that. Then coordinate with the admins to not squash your PR so that stage 0 updates are preserved as separate commits.
update the stage 0 compiler, which can be done via `make -C stageN update-stage0`.
`make update-stage0` without `-C` defaults to stage1.
## Further Bootstrapping Complications

View File

@@ -1,15 +1,10 @@
Git Commit Convention
=====================
We are using the following convention for writing git commit messages. For pull
requests, make sure the pull request title and description follow this
convention, as the squash-merge commit will inherit title and body from the
pull request.
This convention is based on the one from the AngularJS project ([doc][angularjs-doc],
We are using the following convention for writing git-commit messages.
It is based on the one from AngularJS project([doc][angularjs-doc],
[commits][angularjs-git]).
[angularjs-git]: https://github.com/angular/angular.js/commits/master
[angularjs-doc]: https://docs.google.com/document/d/1QrDFcIiPjSLDn3EL15IJygNPiHORgU1_OOAqWjiDU5Y/edit#

View File

@@ -11,8 +11,6 @@ There are two primary attributes for interoperating with other languages:
It can also be used with `def` to provide an internal definition, but ensuring consistency of both definitions is up to the user.
* `@[export sym] def leanSym : ...` exports `leanSym` under the unmangled symbol name `sym`.
For simple examples of how to call foreign code from Lean and vice versa, see <https://github.com/leanprover/lean4/blob/master/src/lake/examples/ffi> and <https://github.com/leanprover/lean4/blob/master/src/lake/examples/reverse-ffi>, respectively.
## The Lean ABI
The Lean Application Binary Interface (ABI) describes how the signature of a Lean declaration is encoded as a native calling convention.
@@ -23,7 +21,7 @@ If `n` is 0, the corresponding C declaration is
extern s sym;
```
where `s` is the C translation of `β` as specified in the next section.
In the case of an `@[extern]` definition, the symbol's value is guaranteed to be initialized only after calling the Lean module's initializer or that of an importing module; see [Initialization](#initialization).
In the case of an `@[extern]` definition, the symbol's value is guaranteed to be initialized only after calling the Lean module's initializer or that of an importing module; see [Initialization](.#init).
If `n` is greater than 0, the corresponding C declaration is
```c
@@ -34,7 +32,7 @@ In the case of `@[extern]` all *irrelevant* types are removed first; see next se
### Translating Types from Lean to C
* The integer types `UInt8`, ..., `UInt64`, `USize` are represented by the C types `uint8_t`, ..., `uint64_t`, `size_t`, respectively
* The integer types `UInt8`, ..., `UInt64`, `USize` are represented by the C types `uint8_t`, ..., `uint64_t`, `usize_t`, respectively
* `Char` is represented by `uint32_t`
* `Float` is represented by `double`
* An *enum* inductive type of at least 2 and at most 2^32 constructors, each of which with no parameters, is represented by the first type of `uint8_t`, `uint16_t`, `uint32_t` that is sufficient to represent all constructor indices.
@@ -47,7 +45,7 @@ In the case of `@[extern]` all *irrelevant* types are removed first; see next se
* it has a single constructor with a single parameter of *relevant* type
is represented by the representation of that parameter's type.
For example, `{ x : α // p }`, the `Subtype` structure of a value of type `α` and an irrelevant proof, is represented by the representation of `α`.
* `Nat` is represented by `lean_object *`.
Its runtime value is either a pointer to an opaque bignum object or, if the lowest bit of the "pointer" is 1 (`lean_is_scalar`), an encoded unboxed natural number (`lean_box`/`lean_unbox`).
@@ -72,13 +70,13 @@ When including Lean code as part of a larger program, modules must be *initializ
Module initialization entails
* initialization of all "constants" (nullary functions), including closed terms lifted out of other functions
* execution of all `[init]` functions
* execution of all `[builtin_init]` functions, if the `builtin` parameter of the module initializer has been set
* execution of all `[builtinInit]` functions, if the `builtin` parameter of the module initializer has been set
The module initializer is automatically run with the `builtin` flag for executables compiled from Lean code and for "plugins" loaded with `lean --plugin`.
For all other modules imported by `lean`, the initializer is run without `builtin`.
Thus `[init]` functions are run iff their module is imported, regardless of whether they have native code available or not, while `[builtin_init]` functions are only run for native executable or plugins, regardless of whether their module is imported or not.
Thus `[init]` functions are run iff their module is imported, regardless of whether they have native code available or not, while `[builtinInit]` functions are only run for native executable or plugins, regardless of whether their module is imported or not.
`lean` uses built-in initializers for e.g. registering basic parsers that should be available even without importing their module (which is necessary for bootstrapping).
The initializer for module `A.B` is called `initialize_A_B` and will automatically initialize any imported modules.
Module initializers are idempotent (when run with the same `builtin` flag), but not thread-safe.
Together with initialization of the Lean runtime, you should execute code like the following exactly once before accessing any Lean declarations:
@@ -111,15 +109,6 @@ if (lean_io_result_is_ok(res)) {
lean_io_mark_end_initialization();
```
In addition, any other thread not spawned by the Lean runtime itself must be initialized for Lean use by calling
```c
void lean_initialize_thread();
```
and should be finalized in order to free all thread-local resources by calling
```c
void lean_finalize_thread();
```
## `@[extern]` in the Interpreter
The interpreter can run Lean declarations for which symbols are available in loaded shared libraries, which includes `@[extern]` declarations.
@@ -130,4 +119,4 @@ Thus to e.g. run `#eval` on such a declaration, you need to
Note that it is not sufficient to load the foreign library containing the external symbol because the interpreter depends on code that is emitted for each `@[extern]` declaration.
Thus it is not possible to interpret an `@[extern]` declaration in the same file.
See [`tests/compiler/foreign`](https://github.com/leanprover/lean4/tree/master/tests/compiler/foreign/) for an example.
See `tests/compiler/foreign` for an example.

View File

@@ -1,6 +1,6 @@
# Development Workflow
If you want to make changes to Lean itself, start by [building Lean](../make/index.md) from a clean checkout to make sure that everything is set up correctly.
If you want to make changes to Lean itself, start by [building Lean](../make/index.html) from a clean checkout to make sure that everything is set up correctly.
After that, read on below to find out how to set up your editor for changing the Lean source code, followed by further sections of the development manual where applicable such as on the [test suite](testing.md) and [commit convention](commit_convention.md).
If you are planning to make any changes that may affect the compilation of Lean itself, e.g. changes to the parser, elaborator, or compiler, you should first read about the [bootstrapping pipeline](bootstrap.md).
@@ -30,14 +30,20 @@ powershell -f elan-init.ps1 --default-toolchain none
del elan-init.ps1
```
The `lean-toolchain` files in the Lean 4 repository are set up to use the `lean4-stage0`
toolchain for editing files in `src` and the `lean4` toolchain for editing files in `tests`.
Run the following commands to make `lean4` point at `stage1` and `lean4-stage0` point at `stage0`:
You can use `elan toolchain link` to give a specific stage build
directory a reference name, then use `elan override set` to associate
such a name to the current directory. We usually want to use `stage0`
for editing files in `src` and `stage1` for everything else (e.g.
tests).
```bash
# in the Lean rootdir
elan toolchain link lean4 build/release/stage1
elan toolchain link lean4-stage0 build/release/stage0
# make `lean` etc. point to stage1 in the rootdir and subdirs
elan override set lean4
cd src
# make `lean` etc. point to stage0 anywhere inside `src`
elan override set lean4-stage0
```
You can also use the `+toolchain` shorthand (e.g. `lean +lean4-debug`) to switch
@@ -51,32 +57,3 @@ You might find that debugging through elan, e.g. via `gdb lean`, disables some
things like symbol autocompletion because at first only the elan proxy binary
is loaded. You can instead pass the explicit path to `bin/lean` in your build
folder to gdb, or use `gdb $(elan which lean)`.
It is also possible to generate releases that others can use,
simply by pushing a tag to your fork of the Lean 4 github repository
(and waiting about an hour; check the `Actions` tab for completion).
If you push `my-tag` to a fork in your github account `my_name`,
you can then put `my_name/lean4:my-tag` in your `lean-toolchain` file in a project using `lake`.
(You must use a tag name that does not start with a numeral, or contain `_`).
### VS Code
There is a `lean.code-workspace` file that correctly sets up VS Code with workspace roots for the stage0/stage1 setup described above as well as with other settings.
You should always load it when working on Lean, such as by invoking
```
code lean.code-workspace
```
on the command line.
### `ccache`
Lean's build process uses [`ccache`](https://ccache.dev/) if it is
installed to speed up recompilation of the generated C code. Without
`ccache`, you'll likely spend more time than necessary waiting on
rebuilds - it's a good idea to make sure it's installed.
### `prelude`
Unlike most Lean projects, all submodules of the `Lean` module begin with the
`prelude` keyword. This disables the automated import of `Init`, meaning that
developers need to figure out their own subset of `Init` to import. This is done
such that changing files in `Init` doesn't force a full rebuild of `Lean`.

View File

@@ -1,12 +1,3 @@
# Documentation
The Lean `doc` folder contains the [Lean Manual](https://lean-lang.org/lean4/doc/) and is
authored in a combination of markdown (`*.md`) files and literate Lean files. The .lean files are
preprocessed using a tool called [LeanInk](https://github.com/leanprover/leanink) and
[Alectryon](https://github.com/Kha/alectryon) which produces a generated markdown file. We then run
`mdbook` on the result to generate the html pages.
## Settings
We are using the following settings while editing the markdown docs.
@@ -23,87 +14,30 @@ We are using the following settings while editing the markdown docs.
## Build
### Using Nix
Building the manual using Nix (which is what the CI does) is as easy as
```bash
$ nix build --update-input lean ./doc
```
You can also open a shell with `mdbook` for running the commands mentioned below with
`nix develop ./doc#book`. Otherwise, read on.
### Manually
To build and test the book you have to preprocess the .lean files with Alectryon then use our own
fork of the Rust tool named [mdbook](https://github.com/leanprover/mdbook). We have our own fork of
mdBook with the following additional features:
This manual is generated by
[mdBook](https://github.com/rust-lang/mdBook). We are currently using
a [fork](https://github.com/leanprover/mdBook) of it for the following
additional features:
* Add support for hiding lines in other languages
[#1339](https://github.com/rust-lang/mdBook/pull/1339)
* Make `mdbook test` call the `lean` compiler to test the snippets.
* Ability to test a single chapter at a time which is handy when you
are working on that chapter. See the `--chapter` option.
* Replace calling `rustdoc --test` from `mdbook test` with `./test`
So you need to setup these tools before you can run `mdBook`.
To build this manual, first install the fork via
```bash
cargo install --git https://github.com/leanprover/mdBook mdbook
```
Then use e.g. [`mdbook watch`](https://rust-lang.github.io/mdBook/cli/watch.html) in the `doc/` folder:
1. install [Rust](https://www.rust-lang.org/tools/install)
which provides you with the `cargo` tool for building rust packages.
Then run the following:
```bash
cargo install --git https://github.com/leanprover/mdBook mdbook
```
```bash
cd doc
mdbook watch --open # opens the output in `out/` in your default browser
```
1. Clone https://github.com/leanprover/LeanInk.git and run `lake build` then make the resulting
binary available to Alectryon using e.g.
```bash
# make `leanInk` available in the current shell
export PATH=$PWD/build/bin:$PATH
```
Run `mdbook test` to test all `lean` code blocks.
1. Create a Python 3.10 environment.
1. Install Alectryon:
```
python3 -m pip install git+https://github.com/Kha/alectryon.git@typeid
```
1. Now you are ready to process the `*.lean` files using Alectryon as follows:
```
cd lean4/doc
alectryon --frontend lean4+markup examples/palindromes.lean --backend webpage -o palindromes.lean.md
```
Repeat this for the other .lean files you care about or write a script to process them all.
1. Now you can build the book using:
```
cd lean4/doc
mdbook build
```
This will put the HTML in a `out` folder so you can load `out/index.html` in your web browser and
it should look like https://lean-lang.org/lean4/doc/.
1. It is also handy to use e.g. [`mdbook watch`](https://rust-lang.github.io/mdBook/cli/watch.html)
in the `doc/` folder so that it keeps the html up to date while you are editing.
```bash
mdbook watch --open # opens the output in `out/` in your default browser
```
## Testing Lean Snippets
You can run the following in the `doc/` folder to test all the lean code snippets.
```bash
mdbook test
```
and you can use the `--chapter` option to test a specific chapter that you are working on:
```bash
mdbook test --chapter Array
```
Use chapter name `?` to get a list of all the chapter names.
Using the [Nix setup](make/nix.md), you can instead open a shell with
the mdBook fork downloaded from our binary cache:
```bash
nix develop .#doc
```

View File

@@ -1,201 +0,0 @@
# Releasing a stable version
This checklist walks you through releasing a stable version.
See below for the checklist for release candidates.
We'll use `v4.6.0` as the intended release version as a running example.
- One week before the planned release, ensure that someone has written the first draft of the release blog post
- `git checkout releases/v4.6.0`
(This branch should already exist, from the release candidates.)
- `git pull`
- In `src/CMakeLists.txt`, verify you see
- `set(LEAN_VERSION_MINOR 6)` (for whichever `6` is appropriate)
- `set(LEAN_VERSION_IS_RELEASE 1)`
- (both of these should already be in place from the release candidates)
- It is possible that the `v4.6.0` section of `RELEASES.md` is out of sync between
`releases/v4.6.0` and `master`. This should be reconciled:
- Run `git diff master RELEASES.md`.
- You should expect to see additons on `master` in the `v4.7.0-rc1` section; ignore these.
(i.e. the new release notes for the upcoming release candidate).
- Reconcile discrepancies in the `v4.6.0` section,
usually via copy and paste and a commit to `releases/v4.6.0`.
- `git tag v4.6.0`
- `git push origin v4.6.0`
- Now wait, while CI runs.
- You can monitor this at `https://github.com/leanprover/lean4/actions/workflows/ci.yml`,
looking for the `v4.6.0` tag.
- This step can take up to an hour.
- If you are intending to cut the next release candidate on the same day,
you may want to start on the release candidate checklist now.
- Go to https://github.com/leanprover/lean4/releases and verify that the `v4.6.0` release appears.
- Edit the release notes on Github to select the "Set as the latest release".
- Copy and paste the Github release notes from the previous releases candidate for this version
(e.g. `v4.6.0-rc1`), and quickly sanity check.
- Next, we will move a curated list of downstream repos to the latest stable release.
- For each of the repositories listed below:
- Make a PR to `master`/`main` changing the toolchain to `v4.6.0`.
The PR title should be "chore: bump toolchain to v4.6.0".
Since the `v4.6.0` release should be functionally identical to the last release candidate,
which the repository should already be on, this PR is a no-op besides changing the toolchain.
- Once this is merged, create the tag `v4.6.0` from `master`/`main` and push it.
- Merge the tag `v4.6.0` into the stable branch.
- We do this for the repositories:
- [lean4checker](https://github.com/leanprover/lean4checker)
- `lean4checker` uses a different version tagging scheme: use `toolchain/v4.6.0` rather than `v4.6.0`.
- [Std](https://github.com/leanprover-community/repl)
- [ProofWidgets4](https://github.com/leanprover-community/ProofWidgets4)
- `ProofWidgets` uses a sequential version tagging scheme, e.g. `v0.0.29`,
which does not refer to the toolchain being used.
- Make a new release in this sequence after merging the toolchain bump PR.
- `ProofWidgets` does not maintain a `stable` branch.
- [Aesop](https://github.com/leanprover-community/aesop)
- [Mathlib](https://github.com/leanprover-community/mathlib4)
- In addition to updating the `lean-toolchain` and `lakefile.lean`,
in `.github/workflows/build.yml.in` in the `lean4checker` section update the line
`git checkout toolchain/v4.6.0` to the appropriate tag,
and then run `.github/workflows/mk_build_yml.sh`.
- [REPL](https://github.com/leanprover-community/repl)
- Note that there are two copies of `lean-toolchain`/`lakefile.lean`:
in the root, and in `test/Mathlib/`.
- Note that there are dependencies between these packages:
you should update the lakefile so that you are using the `v4.6.0` tag of upstream repositories
(or the sequential tag for `ProofWidgets4`), and run `lake update` before committing.
- This means that this process is sequential; each repository must have its bump PR merged,
and the new tag pushed, before you can make the PR for the downstream repositories.
- `lean4checker` has no dependencies
- `Std` has no dependencies
- `Aesop` depends on `Std`
- `ProofWidgets4` depends on `Std`
- `Mathlib` depends on `Aesop`, `ProofWidgets4`, and `lean4checker` (and transitively on `Std`)
- `REPL` depends on `Mathlib` (this dependency is only for testing).
- Merge the release announcement PR for the Lean website - it will be deployed automatically
- Finally, make an announcement!
This should go in https://leanprover.zulipchat.com/#narrow/stream/113486-announce, with topic `v4.6.0`.
Please see previous announcements for suggested language.
You will want a few bullet points for main topics from the release notes.
Link to the blog post from the Zulip announcement.
Please also make sure that whoever is handling social media knows the release is out.
## Optimistic(?) time estimates:
- Initial checks and push the tag: 30 minutes.
- Note that if `RELEASES.md` has discrepancies this could take longer!
- Waiting for the release: 60 minutes.
- Fixing release notes: 10 minutes.
- Bumping toolchains in downstream repositories, up to creating the Mathlib PR: 30 minutes.
- Waiting for Mathlib CI and bors: 120 minutes.
- Finalizing Mathlib tags and stable branch, and updating REPL: 15 minutes.
- Posting announcement and/or blog post: 20 minutes.
# Creating a release candidate.
This checklist walks you through creating the first release candidate for a version of Lean.
We'll use `v4.7.0-rc1` as the intended release version in this example.
- Decide which nightly release you want to turn into a release candidate.
We will use `nightly-2024-02-29` in this example.
- It is essential that Std and Mathlib already have reviewed branches compatible with this nightly.
- Check that both Std and Mathlib's `bump/v4.7.0` branch contain `nightly-2024-02-29`
in their `lean-toolchain`.
- The steps required to reach that state are beyond the scope of this checklist, but see below!
- Create the release branch from this nightly tag:
```
git remote add nightly https://github.com/leanprover/lean4-nightly.git
git fetch nightly tag nightly-2024-02-29
git checkout nightly-2024-02-29
git checkout -b releases/v4.7.0
```
- In `RELEASES.md` remove `(development in progress)` from the `v4.7.0` section header.
- Our current goal is to have written release notes only about major language features or breaking changes,
and to rely on automatically generated release notes for bugfixes and minor changes.
- Do not wait on `RELEASES.md` being perfect before creating the `release/v4.7.0` branch. It is essential to choose the nightly which will become the release candidate as early as possible, to avoid confusion.
- If there are major changes not reflected in `RELEASES.md` already, you may need to solicit help from the authors.
- Minor changes and bug fixes do not need to be documented in `RELEASES.md`: they will be added automatically on the Github release page.
- Commit your changes to `RELEASES.md`, and push.
- Remember that changes to `RELEASES.md` after you have branched `releases/v4.7.0` should also be cherry-picked back to `master`.
- In `src/CMakeLists.txt`,
- verify that you see `set(LEAN_VERSION_MINOR 7)` (for whichever `7` is appropriate); this should already have been updated when the development cycle began.
- `set(LEAN_VERSION_IS_RELEASE 1)` (this should be a change; on `master` and nightly releases it is always `0`).
- Commit your changes to `src/CMakeLists.txt`, and push.
- `git tag v4.7.0-rc1`
- `git push origin v4.7.0-rc1`
- Now wait, while CI runs.
- You can monitor this at `https://github.com/leanprover/lean4/actions/workflows/ci.yml`, looking for the `v4.7.0-rc1` tag.
- This step can take up to an hour.
- Once the release appears at https://github.com/leanprover/lean4/releases/
- Edit the release notes on Github to select the "Set as a pre-release box".
- Copy the section of `RELEASES.md` for this version into the Github release notes.
- Use the title "Changes since v4.6.0 (from RELEASES.md)"
- Then in the "previous tag" dropdown, select `v4.6.0`, and click "Generate release notes".
- This will add a list of all the commits since the last stable version.
- Delete anything already mentioned in the hand-written release notes above.
- Delete "update stage0" commits, and anything with a completely inscrutable commit message.
- Briefly rearrange the remaining items by category (e.g. `simp`, `lake`, `bug fixes`),
but for minor items don't put any work in expanding on commit messages.
- (How we want to release notes to look is evolving: please update this section if it looks wrong!)
- Next, we will move a curated list of downstream repos to the release candidate.
- This assumes that there is already a *reviewed* branch `bump/v4.7.0` on each repository
containing the required adaptations (or no adaptations are required).
The preparation of this branch is beyond the scope of this document.
- For each of the target repositories:
- Checkout the `bump/v4.7.0` branch.
- Verify that the `lean-toolchain` is set to the nightly from which the release candidate was created.
- `git merge origin/master`
- Change the `lean-toolchain` to `leanprover/lean4:v4.7.0-rc1`
- In `lakefile.lean`, change any dependencies which were using `nightly-testing` or `bump/v4.7.0` branches
back to `master` or `main`, and run `lake update` for those dependencies.
- Run `lake build` to ensure that dependencies are found (but it's okay to stop it after a moment).
- `git commit`
- `git push`
- Open a PR from `bump/v4.7.0` to `master`, and either merge it yourself after CI, if appropriate,
or notify the maintainers that it is ready to go.
- Once this PR has been merged, tag `master` with `v4.7.0-rc1` and push this tag.
- We do this for the same list of repositories as for stable releases, see above.
As above, there are dependencies between these, and so the process above is iterative.
It greatly helps if you can merge the `bump/v4.7.0` PRs yourself!
- For Std/Aesop/Mathlib, which maintain a `nightly-testing` branch, make sure there is a tag
`nightly-testing-2024-02-29` with date corresponding to the nightly used for the release
(create it if not), and then on the `nightly-testing` branch `git reset --hard master`, and force push.
- Make an announcement!
This should go in https://leanprover.zulipchat.com/#narrow/stream/113486-announce, with topic `v4.7.0-rc1`.
Please see previous announcements for suggested language.
You will want a few bullet points for main topics from the release notes.
Please also make sure that whoever is handling social media knows the release is out.
- Begin the next development cycle (i.e. for `v4.8.0`) on the Lean repository, by making a PR that:
- Updates `src/CMakeLists.txt` to say `set(LEAN_VERSION_MINOR 8)`
- Removes `(in development)` from the section heading in `RELEASES.md` for `v4.7.0`,
and creates a new `v4.8.0 (in development)` section heading.
## Time estimates:
Slightly longer than the corresponding steps for a stable release.
Similar process, but more things go wrong.
In particular, updating the downstream repositories is significantly more work
(because we need to merge existing `bump/v4.7.0` branches, not just update a toolchain).
# Preparing `bump/v4.7.0` branches
While not part of the release process per se,
this is a brief summary of the work that goes into updating Std/Aesop/Mathlib to new versions.
Please read https://leanprover-community.github.io/contribute/tags_and_branches.html
* Each repo has an unreviewed `nightly-testing` branch that
receives commits automatically from `master`, and
has its toolchain updated automatically for every nightly.
(Note: the aesop branch is not automated, and is updated on an as needed basis.)
As a consequence this branch is often broken.
A bot posts in the (private!) "Mathlib reviewers" stream on Zulip about the status of these branches.
* We fix the breakages by committing directly to `nightly-testing`: there is no PR process.
* This can either be done by the person managing this process directly,
or by soliciting assistance from authors of files, or generally helpful people on Zulip!
* Each repo has a `bump/v4.7.0` which accumulates reviewed changes adapting to new versions.
* Once `nightly-testing` is working on a given nightly, say `nightly-2024-02-15`, we:
* Make sure `bump/v4.7.0` is up to date with `master` (by merging `master`, no PR necessary)
* Create from `bump/v4.7.0` a `bump/nightly-2024-02-15` branch.
* In that branch, `git merge --squash nightly-testing` to bring across changes from `nightly-testing`.
* Sanity check changes, commit, and make a PR to `bump/v4.7.0` from the `bump/nightly-2024-02-15` branch.
* Solicit review, merge the PR into `bump/v4,7,0`.
* It is always okay to merge in the following directions:
`master` -> `bump/v4.7.0` -> `bump/nightly-2024-02-15` -> `nightly-testing`.
Please remember to push any merges you make to intermediate steps!

View File

@@ -5,6 +5,7 @@ After [building Lean](../make/index.md) you can run all the tests using
cd build/release
make test ARGS=-j4
```
Change the 4 to the maximum number of parallel tests you want to
allow. The best choice is the number of CPU cores on your machine as
the tests are mostly CPU bound. You can find the number of processors
@@ -16,12 +17,6 @@ adding the `-C stageN` argument. The default when run as above is stage 1. The
Lean tests will automatically use that stage's corresponding Lean
executables
Running `make test` will not pick up new test files; run
```bash
cmake build/release/stage1
```
to update the list of tests.
You can also use `ctest` directly if you are in the right folder. So
to run stage1 tests with a 300 second timeout run this:
@@ -29,9 +24,6 @@ to run stage1 tests with a 300 second timeout run this:
cd build/release/stage1
ctest -j 4 --output-on-failure --timeout 300
```
Useful `ctest` flags are `-R <name of test>` to run a single test, and
`--rerun-failed` to run all tests that failed during the last run.
You can also pass `ctest` flags via `make test ARGS="--rerun-failed"`.
To get verbose output from ctest pass the `--verbose` command line
option. Test output is normally suppressed and only summary
@@ -41,17 +33,17 @@ information is displayed. This option will show all test output.
All these tests are included by [src/shell/CMakeLists.txt](https://github.com/leanprover/lean4/blob/master/src/shell/CMakeLists.txt):
- [`tests/lean`](https://github.com/leanprover/lean4/tree/master/tests/lean/): contains tests that come equipped with a
.lean.expected.out file. The driver script [`test_single.sh`](https://github.com/leanprover/lean4/tree/master/tests/lean/test_single.sh) runs
- `tests/lean`: contains tests that come equipped with a
.lean.expected.out file. The driver script `test_single.sh` runs
each test and checks the actual output (*.produced.out) with the
checked in expected output.
- [`tests/lean/run`](https://github.com/leanprover/lean4/tree/master/tests/lean/run/): contains tests that are run through the lean
- `tests/lean/run`: contains tests that are run through the lean
command line one file at a time. These tests only look for error
codes and do not check the expected output even though output is
produced, it is ignored.
- [`tests/lean/interactive`](https://github.com/leanprover/lean4/tree/master/tests/lean/interactive/): are designed to test server requests at a
- `tests/lean/interactive`: are designed to test server requests at a
given position in the input file. Each .lean file contains comments
that indicate how to simulate a client request at that position.
using a `--^` point to the line position. Example:
@@ -61,7 +53,7 @@ All these tests are included by [src/shell/CMakeLists.txt](https://github.com/le
Bla.
--^ textDocument/completion
```
In this example, the test driver [`test_single.sh`](https://github.com/leanprover/lean4/tree/master/tests/lean/interactive/test_single.sh) will simulate an
In this example, the test driver `test_single.sh` will simulate an
auto-completion request at `Bla.`. The expected output is stored in
a .lean.expected.out in the json format that is part of the
[Language Server
@@ -78,33 +70,23 @@ All these tests are included by [src/shell/CMakeLists.txt](https://github.com/le
--^ collectDiagnostics
```
- [`tests/lean/server`](https://github.com/leanprover/lean4/tree/master/tests/lean/server/): Tests more of the Lean `--server` protocol.
- `tests/lean/server`: Tests more of the Lean `--server` protocol.
There are just a few of them, and it uses .log files containing
JSON.
- [`tests/compiler`](https://github.com/leanprover/lean4/tree/master/tests/compiler/): contains tests that will run the Lean compiler and
- `tests/compiler`: contains tests that will run the Lean compiler and
build an executable that is executed and the output is compared to
the .lean.expected.out file. This test also contains a subfolder
[`foreign`](https://github.com/leanprover/lean4/tree/master/tests/compiler/foreign/) which shows how to extend Lean using C++.
`foreign` which shows how to extend Lean using C++.
- [`tests/lean/trust0`](https://github.com/leanprover/lean4/tree/master/tests/lean/trust0): tests that run Lean in a mode that Lean doesn't
- `tests/lean/trust0`: tests that run Lean in a mode that Lean doesn't
even trust the .olean files (i.e., trust 0).
- [`tests/bench`](https://github.com/leanprover/lean4/tree/master/tests/bench/): contains performance tests.
- `tests/bench`: contains performance tests.
- [`tests/plugin`](https://github.com/leanprover/lean4/tree/master/tests/plugin/): tests that compiled Lean code can be loaded into
- `tests/plugin`: tests that compiled Lean code can be loaded into
`lean` via the `--plugin` command line option.
## Writing Good Tests
Every test file should contain:
* an initial `/-! -/` module docstring summarizing the test's purpose
* a module docstring for each test section that describes what is tested
and, if not 100% clear, why that is the desirable behavior
At the time of writing, most tests do not follow these new guidelines yet.
For an example of a conforming test, see [`tests/lean/1971.lean`](https://github.com/leanprover/lean4/tree/master/tests/lean/1971.lean).
## Fixing Tests
When the Lean source code or the standard library are modified, some of the
@@ -119,7 +101,7 @@ First, we must install [meld](http://meldmerge.org/). On Ubuntu, we can do it by
sudo apt-get install meld
```
Now, suppose `bad_class.lean` test is broken. We can see the problem by going to [`tests/lean`](https://github.com/leanprover/lean4/tree/master/tests/lean) directory and
Now, suppose `bad_class.lean` test is broken. We can see the problem by going to `test/lean` directory and
executing
```
@@ -132,3 +114,8 @@ outputs. `meld` can also be used to repair the problems.
In Emacs, we can also execute `M-x lean4-diff-test-file` to check/diff the file of the current buffer.
To mass-copy all `.produced.out` files to the respective `.expected.out` file, use `tests/lean/copy-produced`.
When using the Nix setup, add `--keep-failed` to the `nix build` call and then call
```sh
tests/lean/copy-produced <build-dir>/source/tests/lean
```
instead where `<build-dir>` is the path printed out by `nix build`.

View File

@@ -1,22 +0,0 @@
/- "Hello world" -/
#eval "hello" ++ " " ++ "world"
-- "hello world"
#check true
-- Bool
def x := 10
#eval x + 2
-- 12
def double (x : Int) := 2*x
#eval double 3
-- 6
#check double
-- Int → Int
example : double 4 = 8 := rfl

View File

@@ -1,19 +0,0 @@
/- Dependent pattern matching -/
inductive Vector (α : Type u) : Nat Type u
| nil : Vector α 0
| cons : α Vector α n Vector α (n+1)
infix:67 "::" => Vector.cons
def Vector.zip : Vector α n Vector β n Vector (α × β) n
| nil, nil => nil
| a::as, b::bs => (a, b) :: zip as bs
#print Vector.zip
/-
def Vector.zip.{u_1, u_2} : {α : Type u_1} → {n : Nat} → {β : Type u_2} → Vector α n → Vector β n → Vector (α × β) n :=
fun {α} {n} {β} x x_1 =>
Vector.brecOn (motive := fun {n} x => {β : Type u_2} → Vector β n → Vector (α × β) n) x
...
-/

View File

@@ -1,22 +0,0 @@
/- Structures -/
structure Point where
x : Int := 0
y : Int := 0
deriving Repr
#eval Point.x (Point.mk 10 20)
-- 10
#eval { x := 10, y := 20 : Point }
def p : Point := { y := 20 }
#eval p.x
#eval p.y
#eval { p with x := 5 }
-- { x := 5, y := 20 }
structure Point3D extends Point where
z : Int

View File

@@ -1,28 +0,0 @@
/- Type classes -/
namespace Example
class ToString (α : Type u) where
toString : α String
#check @ToString.toString
-- {α : Type u_1} → [self : ToString α] → α → String
instance : ToString String where
toString s := s
instance : ToString Bool where
toString b := if b then "true" else "false"
#eval ToString.toString "hello"
export ToString (toString)
#eval toString true
-- "true"
-- #eval toString (true, "hello") -- Error
instance [ToString α] [ToString β] : ToString (α × β) where
toString p := "(" ++ toString p.1 ++ ", " ++ toString p.2 ++ ")"
#eval toString (true, "hello")
-- "(true, hello)"
end Example

View File

@@ -1,44 +0,0 @@
/- Type classes are heavily used in Lean -/
namespace Example
class Mul (α : Type u) where
mul : α α α
infixl:70 " * " => Mul.mul
def double [Mul α] (a : α) := a * a
class Semigroup (α : Type u) extends Mul α where
mul_assoc : a b c : α, (a * b) * c = a * (b * c)
instance : Semigroup Nat where
mul := Nat.mul
mul_assoc := Nat.mul_assoc
#eval double 5
class Functor (f : Type u Type v) : Type (max (u+1) v) where
map : (α β) f α f β
infixr:100 " <$> " => Functor.map
class LawfulFunctor (f : Type u Type v) [Functor f] : Prop where
id_map (x : f α) : id <$> x = x
comp_map (g : α β) (h : β γ) (x : f α) :(h g) <$> x = h <$> g <$> x
end Example
/-
`Deriving instances automatically`
We have seen `deriving Repr` in a few examples.
It is an instance generator.
Lean comes equipped with generators for the following classes.
`Repr`, `Inhabited`, `BEq`, `DecidableEq`,
`Hashable`, `Ord`, `FromToJson`, `SizeOf`
-/
inductive Tree (α : Type u) where
| leaf (val : α)
| node (left right : Tree α)
deriving DecidableEq, Ord, Inhabited, Repr

View File

@@ -1,31 +0,0 @@
/- Tactics -/
example : p q p q p := by
intro hp hq
apply And.intro
exact hp
apply And.intro
exact hq
exact hp
example : p q p q p := by
intro hp hq; apply And.intro hp; exact And.intro hq hp
/- Structuring proofs -/
example : p q p q p := by
intro hp hq
apply And.intro
case left => exact hp
case right =>
apply And.intro
case left => exact hq
case right => exact hp
example : p q p q p := by
intro hp hq
apply And.intro
. exact hp
. apply And.intro
. exact hq
. exact hp

View File

@@ -1,19 +0,0 @@
/- intro tactic variants -/
example (p q : α Prop) : ( x, p x q x) x, q x p x := by
intro h
match h with
| Exists.intro w (And.intro hp hq) => exact Exists.intro w (And.intro hq hp)
example (p q : α Prop) : ( x, p x q x) x, q x p x := by
intro (Exists.intro _ (And.intro hp hq))
exact Exists.intro _ (And.intro hq hp)
example (p q : α Prop) : ( x, p x q x) x, q x p x := by
intro _, hp, hq
exact _, hq, hp
example (α : Type) (p q : α Prop) : ( x, p x q x) x, q x p x := by
intro
| _, .inl h => exact _, .inr h
| _, .inr h => exact _, .inl h

View File

@@ -1,12 +0,0 @@
/- Inaccessible names -/
example : x y : Nat, x = y y = x := by
intros
apply Eq.symm
assumption
example : x y : Nat, x = y y = x := by
intros
apply Eq.symm
rename_i a b hab
exact hab

View File

@@ -1,19 +0,0 @@
/- More tactics -/
example (p q : Nat Prop) : ( x, p x q x) x, q x p x := by
intro h
cases h with
| intro x hpq =>
cases hpq with
| intro hp hq =>
exists x
example : p q q p := by
intro p
cases p
constructor <;> assumption
example : p ¬ p q := by
intro h
cases h
contradiction

View File

@@ -1,20 +0,0 @@
/- Structuring proofs (cont.) -/
example : p (q r) (p q) (p r) := by
intro h
have hp : p := h.left
have hqr : q r := h.right
show (p q) (p r)
cases hqr with
| inl hq => exact Or.inl hp, hq
| inr hr => exact Or.inr hp, hr
example : p (q r) (p q) (p r) := by
intro hp, hqr
cases hqr with
| inl hq =>
have := And.intro hp hq
apply Or.inl; exact this
| inr hr =>
have := And.intro hp hr
apply Or.inr; exact this

View File

@@ -1,10 +0,0 @@
/- Tactic combinators -/
example : p q r p ((p q) r) (q r p) := by
intros
repeat (any_goals constructor)
all_goals assumption
example : p q r p ((p q) r) (q r p) := by
intros
repeat (any_goals (first | assumption | constructor))

View File

@@ -1,14 +0,0 @@
/- First-class functions -/
def twice (f : Nat Nat) (a : Nat) :=
f (f a)
#check twice
-- (Nat → Nat) → Nat → Nat
#eval twice (fun x => x + 2) 10
theorem twice_add_2 (a : Nat) : twice (fun x => x + 2) a = a + 4 := rfl
-- `(· + 2)` is syntax sugar for `(fun x => x + 2)`.
#eval twice (· + 2) 10

View File

@@ -1,22 +0,0 @@
/- Rewriting -/
example (f : Nat Nat) (k : Nat) (h₁ : f 0 = 0) (h₂ : k = 0) : f k = 0 := by
rw [h₂] -- replace k with 0
rw [h₁] -- replace f 0 with 0
example (f : Nat Nat) (k : Nat) (h₁ : f 0 = 0) (h₂ : k = 0) : f k = 0 := by
rw [h₂, h₁]
example (f : Nat Nat) (a b : Nat) (h₁ : a = b) (h₂ : f a = 0) : f b = 0 := by
rw [ h₁, h₂]
example (f : Nat Nat) (a : Nat) (h : 0 + a = 0) : f a = f 0 := by
rw [Nat.zero_add] at h
rw [h]
def Tuple (α : Type) (n : Nat) :=
{ as : List α // as.length = n }
example (n : Nat) (h : n = 0) (t : Tuple α n) : Tuple α 0 := by
rw [h] at t
exact t

View File

@@ -1,21 +0,0 @@
/- Simplifier -/
example (p : Nat Prop) : (x + 0) * (0 + y * 1 + z * 0) = x * y := by
simp
example (p : Nat Prop) (h : p (x * y)) : p ((x + 0) * (0 + y * 1 + z * 0)) := by
simp; assumption
example (p : Nat Prop) (h : p ((x + 0) * (0 + y * 1 + z * 0))) : p (x * y) := by
simp at h; assumption
def f (m n : Nat) : Nat :=
m + n + m
example (h : n = 1) (h' : 0 = m) : (f m n) = n := by
simp [h, h', f]
example (p : Nat Prop) (h₁ : x + 0 = x') (h₂ : y + 0 = y')
: x + y + 0 = x' + y' := by
simp at *
simp [*]

View File

@@ -1,13 +0,0 @@
/- Simplifier -/
def mk_symm (xs : List α) :=
xs ++ xs.reverse
@[simp] theorem reverse_mk_symm : (mk_symm xs).reverse = mk_symm xs := by
simp [mk_symm]
theorem tst : (xs ++ mk_symm ys).reverse = mk_symm ys ++ xs.reverse := by
simp
#print tst
-- Lean reverse_mk_symm, and List.reverse_append

View File

@@ -1,26 +0,0 @@
/- split tactic -/
def f (x y z : Nat) : Nat :=
match x, y, z with
| 5, _, _ => y
| _, 5, _ => y
| _, _, 5 => y
| _, _, _ => 1
example : x 5 y 5 z 5 z = w f x y w = 1 := by
intros
simp [f]
split
. contradiction
. contradiction
. contradiction
. rfl
def g (xs ys : List Nat) : Nat :=
match xs, ys with
| [a, b], _ => a+b+1
| _, [b, c] => b+1
| _, _ => 1
example (xs ys : List Nat) (h : g xs ys = 0) : False := by
unfold g at h; split at h <;> simp_arith at h

View File

@@ -1,9 +0,0 @@
/- induction tactic -/
example (as : List α) (a : α) : (as.concat a).length = as.length + 1 := by
induction as with
| nil => rfl
| cons _ xs ih => simp [List.concat, ih]
example (as : List α) (a : α) : (as.concat a).length = as.length + 1 := by
induction as <;> simp! [*]

View File

@@ -1,59 +0,0 @@
/- Enumerated types -/
inductive Weekday where
| sunday | monday | tuesday | wednesday
| thursday | friday | saturday
#check Weekday.sunday
-- Weekday
open Weekday
#check sunday
def natOfWeekday (d : Weekday) : Nat :=
match d with
| sunday => 1
| monday => 2
| tuesday => 3
| wednesday => 4
| thursday => 5
| friday => 6
| saturday => 7
def Weekday.next (d : Weekday) : Weekday :=
match d with
| sunday => monday
| monday => tuesday
| tuesday => wednesday
| wednesday => thursday
| thursday => friday
| friday => saturday
| saturday => sunday
def Weekday.previous : Weekday Weekday
| sunday => saturday
| monday => sunday
| tuesday => monday
| wednesday => tuesday
| thursday => wednesday
| friday => thursday
| saturday => friday
/- Proving theorems using tactics -/
theorem Weekday.next_previous (d : Weekday) : d.next.previous = d :=
match d with
| sunday => rfl
| monday => rfl
| tuesday => rfl
| wednesday => rfl
| thursday => rfl
| friday => rfl
| saturday => rfl
theorem Weekday.next_previous' (d : Weekday) : d.next.previous = d := by -- switch to tactic mode
cases d -- Creates 7 goals
rfl; rfl; rfl; rfl; rfl; rfl; rfl
theorem Weekday.next_previous'' (d : Weekday) : d.next.previous = d := by
cases d <;> rfl

View File

@@ -1,20 +0,0 @@
/- What is the type of Nat? -/
#check 0
-- Nat
#check Nat
-- Type
#check Type
-- Type 1
#check Type 1
-- Type 2
#check Eq.refl 2
-- 2 = 2
#check 2 = 2
-- Prop
#check Prop
-- Type
example : Prop = Sort 0 := rfl
example : Type = Sort 1 := rfl
example : Type 1 = Sort 2 := rfl

View File

@@ -1,21 +0,0 @@
/- Implicit arguments and universe polymorphism -/
def f (α β : Sort u) (a : α) (b : β) : α := a
#eval f Nat String 1 "hello"
-- 1
def g {α β : Sort u} (a : α) (b : β) : α := a
#eval g 1 "hello"
def h (a : α) (b : β) : α := a
#check g
-- ?m.1 → ?m.2 → ?m.1
#check @g
-- {α β : Sort u} → α → β → α
#check @h
-- {α : Sort u_1} → {β : Sort u_2} → α → β → α
#check g (α := Nat) (β := String)
-- Nat → String → Nat

View File

@@ -1,14 +0,0 @@
/- Inductive Types -/
inductive Tree (β : Type v) where
| leaf
| node (left : Tree β) (key : Nat) (value : β) (right : Tree β)
deriving Repr
#eval Tree.node .leaf 10 true .leaf
-- Tree.node Tree.leaf 10 true Tree.leaf
inductive Vector (α : Type u) : Nat Type u
| nil : Vector α 0
| cons : α Vector α n Vector α (n+1)

View File

@@ -1,25 +0,0 @@
/- Recursive functions -/
#print Nat -- Nat is an inductive datatype
def fib (n : Nat) : Nat :=
match n with
| 0 => 1
| 1 => 1
| n+2 => fib (n+1) + fib n
example : fib 5 = 8 := rfl
example : fib (n+2) = fib (n+1) + fib n := rfl
#print fib
/-
def fib : Nat → Nat :=
fun n =>
Nat.brecOn n fun n f =>
(match (motive := (n : Nat) → Nat.below n → Nat) n with
| 0 => fun x => 1
| 1 => fun x => 1
| Nat.succ (Nat.succ n) => fun x => x.fst.fst + x.fst.snd.fst.fst)
f
-/

View File

@@ -1,25 +0,0 @@
/- Well-founded recursion -/
def ack : Nat Nat Nat
| 0, y => y+1
| x+1, 0 => ack x 1
| x+1, y+1 => ack x (ack (x+1) y)
termination_by ack x y => (x, y)
def sum (a : Array Int) : Int :=
let rec go (i : Nat) :=
if i < a.size then
a[i] + go (i+1)
else
0
go 0
termination_by go i => a.size - i
set_option pp.proofs true
#print sum.go
/-
def sum.go : Array Int → Nat → Int :=
fun a =>
WellFounded.fix (sum.go.proof_1 a) fun i a_1 =>
if h : i < Array.size a then Array.getOp a i + a_1 (i + 1) (sum.go.proof_2 a i h) else 0
-/

View File

@@ -1,44 +0,0 @@
/- Mutual recursion -/
inductive Term where
| const : String Term
| app : String List Term Term
namespace Term
mutual
def numConsts : Term Nat
| const _ => 1
| app _ cs => numConstsLst cs
def numConstsLst : List Term Nat
| [] => 0
| c :: cs => numConsts c + numConstsLst cs
end
mutual
def replaceConst (a b : String) : Term Term
| const c => if a = c then const b else const c
| app f cs => app f (replaceConstLst a b cs)
def replaceConstLst (a b : String) : List Term List Term
| [] => []
| c :: cs => replaceConst a b c :: replaceConstLst a b cs
end
/- Mutual recursion in theorems -/
mutual
theorem numConsts_replaceConst (a b : String) (e : Term)
: numConsts (replaceConst a b e) = numConsts e := by
match e with
| const c => simp [replaceConst]; split <;> simp [numConsts]
| app f cs => simp [replaceConst, numConsts, numConsts_replaceConstLst a b cs]
theorem numConsts_replaceConstLst (a b : String) (es : List Term)
: numConstsLst (replaceConstLst a b es) = numConstsLst es := by
match es with
| [] => simp [replaceConstLst, numConstsLst]
| c :: cs =>
simp [replaceConstLst, numConstsLst, numConsts_replaceConst a b c,
numConsts_replaceConstLst a b cs]
end

View File

@@ -5,7 +5,7 @@ If the type of keys can be totally ordered -- that is, it supports a well-behave
then maps can be implemented with binary search trees (BSTs). Insert and lookup operations on BSTs take time
proportional to the height of the tree. If the tree is balanced, the operations therefore take logarithmic time.
This example is based on a similar example found in the ["Software Foundations"](https://softwarefoundations.cis.upenn.edu/vfa-current/SearchTree.html)
This example is based on a similar example found in the ["Sofware Foundations"](https://softwarefoundations.cis.upenn.edu/vfa-current/SearchTree.html)
book (volume 3).
-/
@@ -81,9 +81,9 @@ def Tree.toList (t : Tree β) : List (Nat × β) :=
|>.toList
/-!
The implementation of `Tree.toList` is inefficient because of how it uses the `++` operator.
The implemention of `Tree.toList` is inefficient because of how it uses the `++` operator.
On a balanced tree its running time is linearithmic, because it does a linear number of
concatenations at each level of the tree. On an unbalanced tree it's quadratic time.
concatentations at each level of the tree. On an unbalanced tree it's quadratic time.
Here's a tail-recursive implementation than runs in linear time, regardless of whether the tree is balanced:
-/
def Tree.toListTR (t : Tree β) : List (Nat × β) :=
@@ -114,9 +114,9 @@ concatenating all goals produced by `tac'`. In this theorem, we use it to apply
The `simp` parameters `toListTR.go` and `toList` instruct the simplifier to try to reduce
and/or apply auto generated equation theorems for these two functions.
The parameter `*` instructs the simplifier to use any equation in a goal as rewriting rules.
The parameter `*` intructs the simplifier to use any equation in a goal as rewriting rules.
In this particular case, `simp` uses the induction hypotheses as rewriting rules.
Finally, the parameter `List.append_assoc` instructs the simplifier to use the
Finally, the parameter `List.append_assoc` intructs the simplifier to use the
`List.append_assoc` theorem as a rewriting rule.
-/
theorem Tree.toList_eq_toListTR (t : Tree β)
@@ -176,8 +176,7 @@ The modifier `local` specifies the scope of the macro.
/-- The `have_eq lhs rhs` tactic (tries to) prove that `lhs = rhs`,
and then replaces `lhs` with `rhs`. -/
local macro "have_eq " lhs:term:max rhs:term:max : tactic =>
`(tactic|
(have h : $lhs = $rhs :=
`((have h : $lhs = $rhs :=
-- TODO: replace with linarith
by simp_arith at *; apply Nat.le_antisymm <;> assumption
try subst $lhs))
@@ -186,13 +185,13 @@ local macro "have_eq " lhs:term:max rhs:term:max : tactic =>
The `by_cases' e` is just the regular `by_cases` followed by `simp` using all
hypotheses in the current goal as rewriting rules.
Recall that the `by_cases` tactic creates two goals. One where we have `h : e` and
another one containing `h : ¬ e`. The simplifier uses the `h` to rewrite `e` to `True`
another one containing `h : ¬ e`. The simplier uses the `h` to rewrite `e` to `True`
in the first subgoal, and `e` to `False` in the second. This is particularly
useful if `e` is the condition of an `if`-statement.
-/
/-- `by_cases' e` is a shorthand form `by_cases e <;> simp[*]` -/
local macro "by_cases' " e:term : tactic =>
`(tactic| by_cases $e <;> simp [*])
`(by_cases $e <;> simp [*])
/-!
@@ -277,13 +276,14 @@ theorem BinTree.find_insert (b : BinTree β) (k : Nat) (v : β)
. by_cases' key < k
cases h; apply ihr; assumption
theorem BinTree.find_insert_of_ne (b : BinTree β) (ne : k k') (v : β)
theorem BinTree.find_insert_of_ne (b : BinTree β) (h : k k') (v : β)
: (b.insert k v).find? k' = b.find? k' := by
let t, h := b; simp
induction t with simp
| leaf =>
intros le
exact Nat.lt_of_le_of_ne le ne
split <;> simp <;> split <;> simp
have_eq k k'
contradiction
| node left key value right ihl ihr =>
let .node hl hr bl br := h
specialize ihl bl

View File

@@ -152,7 +152,7 @@ We prove all cases but the one for `plus` using `simp [*]`. This tactic instruct
use hypotheses such as `a = b` as rewriting/simplications rules.
We use the `split` to break the nested `match` expression in the `plus` case into two cases.
The local variables `iha` and `ihb` are the induction hypotheses for `a` and `b`.
The modifier `←` in a term simplifier argument instructs the term simplifier to use the equation as a rewriting rule in
The modifier `←` in a term simplifier argument instructs the term simplier to use the equation as a rewriting rule in
the "reverse direction". That is, given `h : a = b`, `← h` instructs the term simplifier to rewrite `b` subterms to `a`.
-/
theorem Term.constFold_sound (e : Term ctx ty) : e.constFold.denote env = e.denote env := by

View File

@@ -83,7 +83,7 @@ In practice, this means we use `stop` to refer to the most recently defined vari
A value `Expr.val` carries a concrete representation of an integer.
A lambda `Expr.lam` creates a function. In the scope of a function of type `Ty.fn a ty`, there is a
A lambda `Expr.lam` creates a function. In the scope of a function ot type `Ty.fn a ty`, there is a
new local variable of type `a`.
A function application `Expr.app` produces a value of type `ty` given a function from `a` to `ty` and a value of type `a`.
@@ -139,7 +139,7 @@ def add : Expr ctx (Ty.fn Ty.int (Ty.fn Ty.int Ty.int)) :=
More interestingly, a factorial function fact (e.g. `fun x => if (x == 0) then 1 else (fact (x-1) * x)`), can be written as.
Note that this is a recursive (non-terminating) definition. For every input value, the interpreter terminates, but the
definition itself is non-terminating. We use two tricks to make sure Lean accepts it. First, we use the auxiliary constructor
`Expr.delay` to delay its unfolding. Second, we add the annotation `decreasing_by sorry` which can be viewed as
`Expr.delay` to delay its unfolding. Second, we add the annotation `decreasing_by sorry` which can be viwed as
"trust me, this recursive definition makes sense". Recall that `sorry` is an unsound axiom in Lean.
-/

View File

@@ -82,7 +82,7 @@ theorem List.palindrome_ind (motive : List α → Prop)
have ih := palindrome_ind motive h₁ h₂ h₃ (a₂::as').dropLast
have : [a₁] ++ (a₂::as').dropLast ++ [(a₂::as').last (by simp)] = a₁::a₂::as' := by simp
this h₃ _ _ _ ih
termination_by as.length
termination_by _ as => as.length
/-!
We use our new induction principle to prove that if `as.reverse = as`, then `Palindrome as` holds.

View File

@@ -228,7 +228,7 @@ We prove all cases but the one for `plus` using `simp [*]`. This tactic instruct
use hypotheses such as `a = b` as rewriting/simplications rules.
We use the `split` to break the nested `match` expression in the `plus` case into two cases.
The local variables `iha` and `ihb` are the induction hypotheses for `a` and `b`.
The modifier `←` in a term simplifier argument instructs the term simplifier to use the equation as a rewriting rule in
The modifier `←` in a term simplifier argument instructs the term simplier to use the equation as a rewriting rule in
the "reverse direction. That is, given `h : a = b`, `← h` instructs the term simplifier to rewrite `b` subterms to `a`.
-/
theorem constFold_sound (e : Term' Ty.denote ty) : denote (constFold e) = denote e := by

View File

@@ -38,7 +38,7 @@ theorem HasType.det (h₁ : HasType e t₁) (h₂ : HasType e t₂) : t₁ = t
cases h₁ <;> cases h₂ <;> rfl
/-!
The inductive type `Maybe p` has two constructors: `found a h` and `unknown`.
The inductive type `Maybe p` has two contructors: `found a h` and `unknown`.
The former contains an element `a : α` and a proof that `a` satisfies the predicate `p`.
The constructor `unknown` is used to encode "failure".
-/

View File

@@ -15,8 +15,9 @@ sections of a Lean document. User widgets are rendered in the Lean infoview.
To try it out, simply type in the following code and place your cursor over the `#widget` command.
-/
@[widget_module]
def helloWidget : Widget.Module where
@[widget]
def helloWidget : UserWidgetDefinition where
name := "Hello"
javascript := "
import * as React from 'react';
export default function(props) {
@@ -24,7 +25,7 @@ def helloWidget : Widget.Module where
return React.createElement('p', {}, name + '!')
}"
#widget helloWidget
#widget helloWidget .null
/-!
If you want to dive into a full sample right away, check out
@@ -55,11 +56,7 @@ to the React component. In our first invocation of `#widget`, we set it to `.nul
happens when you type in:
-/
structure HelloWidgetProps where
name? : Option String := none
deriving Server.RpcEncodable
#widget helloWidget with { name? := "<your name here>" : HelloWidgetProps }
#widget helloWidget (Json.mkObj [("name", "<your name here>")])
/-!
💡 NOTE: The RPC system presented below does not depend on JavaScript. However the primary use case
@@ -109,13 +106,13 @@ more information for us, in the form of a `snap : Snapshot`. With this in hand,
-/
open Server RequestM in
@[server_rpc_method]
@[serverRpcMethod]
def getType (params : GetTypeParams) : RequestM (RequestTask CodeWithInfos) :=
withWaitFindSnapAtPos params.pos fun snap => do
runTermElabM snap do
let name resolveGlobalConstNoOverloadCore params.name
let c try getConstInfo name
catch _ => throwThe RequestError .invalidParams, s!"no constant named '{name}'"
let some c Meta.getConst? name
| throwThe RequestError .invalidParams, s!"no constant named '{name}'"
Widget.ppExprTagged c.type
/-!
@@ -129,14 +126,14 @@ as seen in the goal view. We will use it to implement our custom `#check` displa
⚠️ WARNING: Like the other widget APIs, the infoview JS API is **unstable** and subject to breaking changes.
The code below demonstrates useful parts of the API. To make RPC method calls, we use the `RpcContext`.
The `useAsync` helper packs the results of a call into an `AsyncState` structure which indicates
whether the call has resolved successfully, has returned an error, or is still in-flight. Based
on this we either display an `InteractiveCode` with the type, `mapRpcError` the error in order
to turn it into a readable message, or show a `Loading..` message, respectively.
The `useAsync` helper packs the results of a call into a `status` enum, the returned `val`ue in case
the call was successful, and otherwise an `err`or. Based on the `status` we either display
an `InteractiveCode`, or `mapRpcError` the error in order to turn it into a readable message.
-/
@[widget_module]
def checkWidget : Widget.Module where
@[widget]
def checkWidget : UserWidgetDefinition where
name := "#check as a service"
javascript := "
import * as React from 'react';
const e = React.createElement;
@@ -146,15 +143,18 @@ export default function(props) {
const rs = React.useContext(RpcContext)
const [name, setName] = React.useState('getType')
const st = useAsync(() =>
const [status, val, err] = useAsync(() =>
rs.call('getType', { name, pos: props.pos }), [name, rs, props.pos])
const type = st.state === 'resolved' ? st.value && e(InteractiveCode, {fmt: st.value})
: st.state === 'rejected' ? e('p', null, mapRpcError(st.error).message)
: e('p', null, 'Loading..')
const type = status === 'fulfilled' ? val && e(InteractiveCode, {fmt: val})
: status === 'rejected' ? e('p', null, mapRpcError(err).message)
: e('p', null, 'Loading..')
const onChange = (event) => { setName(event.target.value) }
return e('div', null,
e('input', { value: name, onChange }), ' : ', type)
e('input', { value: name, onChange }),
' : ',
type)
}
"
@@ -162,7 +162,7 @@ export default function(props) {
Finally we can try out the widget.
-/
#widget checkWidget
#widget checkWidget .null
/-!
![`#check` as a service](../images/widgets_caas.png)
@@ -183,35 +183,4 @@ the infoview we need to:
In the RubiksCube sample, we provide a working `rollup.js` build configuration in
[rollup.config.js](https://github.com/leanprover/lean4-samples/blob/main/RubiksCube/widget/rollup.config.js).
## Inserting text
We can also instruct the editor to insert text, copy text to the clipboard, or
reveal a certain location in the document.
To do this, use the `React.useContext(EditorContext)` React context.
This will return an `EditorConnection` whose `api` field contains a number of methods to
interact with the text editor.
You can see the full API for this [here](https://github.com/leanprover/vscode-lean4/blob/master/lean4-infoview-api/src/infoviewApi.ts#L52)
-/
@[widget_module]
def insertTextWidget : Widget.Module where
javascript := "
import * as React from 'react';
const e = React.createElement;
import { EditorContext } from '@leanprover/infoview';
export default function(props) {
const editorConnection = React.useContext(EditorContext)
function onClick() {
editorConnection.api.insertText('-- hello!!!', 'above')
}
return e('div', null, e('button', { value: name, onClick }, 'insert'))
}
"
/-! Finally, we can try this out: -/
#widget insertTextWidget

View File

@@ -406,7 +406,7 @@ The reduction relation is transitive, which is to say, is ``s`` reduces to ``s'`
This last fact reflects the intuition that once we have proved a proposition ``p``, we only care that is has been proved; the proof does nothing more than witness the fact that ``p`` is true.
Definitional equality is a strong notion of equality of values. Lean's logical foundations sanction treating definitionally equal terms as being the same when checking that a term is well-typed and/or that it has a given type.
Definitional equality is a strong notion of equalty of values. Lean's logical foundations sanction treating definitionally equal terms as being the same when checking that a term is well-typed and/or that it has a given type.
The reduction relation is believed to be strongly normalizing, which is to say, every sequence of reductions applied to a term will eventually terminate. The property guarantees that Lean's type-checking algorithm terminates, at least in principle. The consistency of Lean and its soundness with respect to set-theoretic semantics do not depend on either of these properties.

View File

@@ -7,6 +7,15 @@ Lean is a new open source theorem prover being developed at Microsoft Research.
It is a research project that aims to bridge the gap between interactive and automated theorem proving.
Lean can be also used as a programming language. Actually, some Lean features are implemented in Lean itself.
### Are pull requests welcome?
In the past, we accepted most pull requests. This practice produced hard to maintain code, performance problems, and bugs.
It takes time to review a pull request and make sure it is correct, useful and is not in conflict with our plans.
Small bug fixes (few lines of code) are always welcome. Any other kind of unrequested pull request is not.
Thus, before implementing a feature or modifying the system, please ask whether the change is welcome or not.
We have issues tagged with ["help wanted"](https://github.com/leanprover/lean4/issues?q=is%3Aissue+is%3Aopen+label%3A%22help+wanted%22), if you want to contribute to the project, please take a look at them.
If you are interested in one of them, post comments, ask questions, and engage with the core developers there.
### Should I use Lean?
Lean is under heavy development, and we are constantly trying new
@@ -27,7 +36,7 @@ It is a good place to interact with other Lean users.
### Should I use Lean to teach a course?
Lean has been used to teach courses on logic, type theory and programming languages at CMU and the University of Washington.
The lecture notes for the CMU course [Logic and Proof](https://lean-lang.org/logic_and_proof) are available online,
The lecture notes for the CMU course [Logic and Proof](https://leanprover.github.io/logic_and_proof) are available online,
but they are for Lean 3.
If you decide to teach a course using Lean, we suggest you prepare all material before the beginning of the course, and
make sure that Lean attends all your needs. You should not expect we will fix bugs and/or add features needed for your course.
@@ -47,7 +56,7 @@ We expect similar independent checkers will be built for Lean 4.
We use [GitHub](https://github.com/leanprover/lean4/issues) to track bugs and new features.
Bug reports are always welcome, but nitpicking issues are not (e.g., the error message is confusing).
See also our [contribution guidelines](https://github.com/leanprover/lean4/blob/master/CONTRIBUTING.md).
See also our [contribution guidelines](../CONTRIBUTING.md).
### Is it Lean, LEAN, or L∃∀N?

67
doc/flake.lock generated
View File

@@ -19,11 +19,11 @@
},
"flake-utils": {
"locked": {
"lastModified": 1656928814,
"narHash": "sha256-RIFfgBuKz6Hp89yRr7+NR5tzIAbn52h8vT6vXkYjZoM=",
"lastModified": 1644229661,
"narHash": "sha256-1YdnJAsNy69bpcjuoKdOYQX0YxZBiCYZo4Twxerqv7k=",
"owner": "numtide",
"repo": "flake-utils",
"rev": "7e2a3b3dfd9af950a856d66b0a7d01e3c18aa249",
"rev": "3cecb5b042f7f209c56ffd8371b2711a290ec797",
"type": "github"
},
"original": {
@@ -35,13 +35,14 @@
"lean": {
"inputs": {
"flake-utils": "flake-utils",
"lean-stage0": "lean-stage0",
"lean4-mode": "lean4-mode",
"nix": "nix",
"nixpkgs": "nixpkgs_2"
},
"locked": {
"lastModified": 0,
"narHash": "sha256-YnYbmG0oou1Q/GE4JbMNb8/yqUVXBPIvcdQQJHBqtPk=",
"narHash": "sha256-AfBkKX6Ahb9YbZke+eWLmsUk1Z9BwdJ1CpIoPY8Msx8=",
"path": "../.",
"type": "path"
},
@@ -50,14 +51,29 @@
"type": "path"
}
},
"lean-stage0": {
"locked": {
"lastModified": 0,
"narHash": "sha256-3K/43lSW4WIHNG+HHVKCD1odS63mHuaQ4ueHyTIkcls=",
"owner": "leanprover",
"repo": "lean4",
"rev": "0000000000000000000000000000000000000000",
"type": "github"
},
"original": {
"owner": "leanprover",
"repo": "lean4",
"type": "github"
}
},
"lean4-mode": {
"flake": false,
"locked": {
"lastModified": 1659020985,
"narHash": "sha256-+dRaXB7uvN/weSZiKcfSKWhcdJVNg9Vg8k0pJkDNjpc=",
"lastModified": 1647694750,
"narHash": "sha256-0rV61KhevG9IAjZDN2Ts2VS65fiUAPAezbf282u7yy8=",
"owner": "leanprover",
"repo": "lean4-mode",
"rev": "37d5c99b7b29c80ab78321edd6773200deb0bca6",
"rev": "c016c7aeee92564836355083664c49ed57024427",
"type": "github"
},
"original": {
@@ -69,16 +85,15 @@
"leanInk": {
"flake": false,
"locked": {
"lastModified": 1704976501,
"narHash": "sha256-FSBUsbX0HxakSnYRYzRBDN2YKmH9EkA0q9p7TSPEJTI=",
"lastModified": 1656863690,
"narHash": "sha256-9tmynTTeJGhYZaltS4xhSJgLTpe7Ta1ofV6U1SA/5V4=",
"owner": "leanprover",
"repo": "LeanInk",
"rev": "51821e3c2c032c88e4b2956483899d373ec090c4",
"rev": "4b5e606ea8cc54c2447ce48706f8ec1d133d19e9",
"type": "github"
},
"original": {
"owner": "leanprover",
"ref": "refs/pull/57/merge",
"repo": "LeanInk",
"type": "github"
}
@@ -122,11 +137,11 @@
"nixpkgs-regression": "nixpkgs-regression"
},
"locked": {
"lastModified": 1657097207,
"narHash": "sha256-SmeGmjWM3fEed3kQjqIAO8VpGmkC2sL1aPE7kKpK650=",
"lastModified": 1648022028,
"narHash": "sha256-HtwmifW6STPcym+3uJ4YavgTKTYVIoiQHg3f0wXOm+Q=",
"owner": "NixOS",
"repo": "nix",
"rev": "f6316b49a0c37172bca87ede6ea8144d7d89832f",
"rev": "98ce1a21b7d959c5575fac566c8699e91703a9f7",
"type": "github"
},
"original": {
@@ -137,18 +152,17 @@
},
"nixpkgs": {
"locked": {
"lastModified": 1653988320,
"narHash": "sha256-ZaqFFsSDipZ6KVqriwM34T739+KLYJvNmCWzErjAg7c=",
"lastModified": 1632864508,
"narHash": "sha256-d127FIvGR41XbVRDPVvozUPQ/uRHbHwvfyKHwEt5xFM=",
"owner": "NixOS",
"repo": "nixpkgs",
"rev": "2fa57ed190fd6c7c746319444f34b5917666e5c1",
"rev": "82891b5e2c2359d7e58d08849e4c89511ab94234",
"type": "github"
},
"original": {
"owner": "NixOS",
"ref": "nixos-22.05-small",
"repo": "nixpkgs",
"type": "github"
"id": "nixpkgs",
"ref": "nixos-21.05-small",
"type": "indirect"
}
},
"nixpkgs-regression": {
@@ -161,19 +175,18 @@
"type": "github"
},
"original": {
"owner": "NixOS",
"repo": "nixpkgs",
"id": "nixpkgs",
"rev": "215d4d0fd80ca5163643b03a33fde804a29cc1e2",
"type": "github"
"type": "indirect"
}
},
"nixpkgs_2": {
"locked": {
"lastModified": 1657208011,
"narHash": "sha256-BlIFwopAykvdy1DYayEkj6ZZdkn+cVgPNX98QVLc0jM=",
"lastModified": 1648219316,
"narHash": "sha256-Ctij+dOi0ZZIfX5eMhgwugfvB+WZSrvVNAyAuANOsnQ=",
"owner": "NixOS",
"repo": "nixpkgs",
"rev": "2770cc0b1e8faa0e20eb2c6aea64c256a706d4f2",
"rev": "30d3d79b7d3607d56546dd2a6b49e156ba0ec634",
"type": "github"
},
"original": {

View File

@@ -4,15 +4,15 @@
inputs.lean.url = path:../.;
inputs.flake-utils.follows = "lean/flake-utils";
inputs.mdBook = {
url = "github:leanprover/mdBook";
url = github:leanprover/mdBook;
flake = false;
};
inputs.alectryon = {
url = "github:Kha/alectryon/typeid";
url = github:Kha/alectryon/typeid;
flake = false;
};
inputs.leanInk = {
url = "github:leanprover/LeanInk/refs/pull/57/merge";
url = github:leanprover/LeanInk;
flake = false;
};
@@ -27,7 +27,7 @@
src = inputs.mdBook;
cargoDeps = drv.cargoDeps.overrideAttrs (_: {
inherit src;
outputHash = "sha256-CO3A9Kpp4sIvkT9X3p+GTidazk7Fn4jf0AP2PINN44A=";
outputHash = "sha256-mhTWHs/bsmm3FH59SkUxBTl5lEH2Rlz/aF9CuBTu1TE=";
});
doCheck = false;
});
@@ -40,7 +40,7 @@
# necessary for `additional-css`...?
cp -r --no-preserve=mode $src/doc/* .
# overwrite stub .lean.md files
cp -r ${inked}/* .
cp -r ${examples}/* examples/
mdbook build -d $out
'';
};
@@ -78,30 +78,17 @@
(with python3Packages; [ pygments dominate beautifulsoup4 docutils ]);
doCheck = false;
};
renderLeanMod = mod: mod.overrideAttrs (final: prev: {
name = "${prev.name}.md";
buildInputs = prev.buildInputs ++ [ alectryon ];
outputs = [ "out" ];
buildCommand = ''
dir=$(dirname $relpath)
mkdir -p $dir out/$dir
if [ -d $src ]; then cp -r $src/. $dir/; else cp $src $leanPath; fi
alectryon --frontend lean4+markup $leanPath --backend webpage -o $out/$leanPath.md
'';
});
renderPackage = pkg: symlinkJoin {
name = "${pkg.name}-mds";
paths = map renderLeanMod (lib.attrValues pkg.mods);
};
literate = buildLeanPackage {
name = "literate";
src = ./.;
roots = [
{ mod = "examples"; glob = "submodules"; }
{ mod = "monads"; glob = "submodules"; }
];
};
inked = renderPackage literate;
renderLean = name: file: runCommandNoCC "${name}.md" { buildInputs = [ alectryon ]; } ''
mkdir -p $out/examples
alectryon --frontend lean4+markup ${file} --backend webpage -o $out/${name}.md
'';
renderDir = name: dir: let
ents = builtins.readDir dir;
inputs = lib.filterAttrs (n: t: builtins.match ".*\.lean" n != null && t == "regular") ents;
outputs = lib.mapAttrs (n: _: renderLean n "${dir}/${n}") inputs;
in
outputs // symlinkJoin { inherit name; paths = lib.attrValues outputs; };
examples = renderDir "examples" ./examples;
doc = book;
};
defaultPackage = self.packages.${system}.doc;

View File

@@ -1,7 +1,7 @@
Functional Programming in Lean
=======================
The goal of [this book](https://lean-lang.org/functional_programming_in_lean/) is to be an accessible introduction to using Lean 4 as a programming language.
The goal of [this book](https://leanprover.github.io/functional_programming_in_lean/) is to be an accessible introduction to using Lean 4 as a programming language.
It should be useful both to people who want to use Lean as a general-purpose programming language and to mathematicians who want to develop larger-scale proof automation but do not have a background in functional programming.
It does not assume any background with functional programming, though it's probably not a good first book on programming in general.
New content will be added once per month until it's done.

View File

@@ -32,8 +32,8 @@ def fact x :=
#eval fact 100
```
By default, Lean only accepts total functions.
The `partial` keyword may be used to define a recursive function without a termination proof; `partial` functions compute in compiled programs, but are opaque in proofs and during type checking.
By default, Lean only accepts total functions. The `partial` keyword should be used when Lean cannot
establish that a function always terminates.
```lean
partial def g (x : Nat) (p : Nat -> Bool) : Nat :=
if p x then

View File

@@ -1143,7 +1143,7 @@ hljs.registerLanguage("lean", function(hljs) {
'sorry admit',
};
var LEAN_IDENT_RE = /[A-Za-z_][\\w\u207F-\u209C\u1D62-\u1D6A\u2079\'0-9?]*/;
var LEAN_IDENT_RE = /[A-Za-z_][\\w\u207F-\u209C\u1D62-\u1D6A\u2079\'0-9]*/;
var DASH_COMMENT = hljs.COMMENT('--', '$');
var MULTI_LINE_COMMENT = hljs.COMMENT('/-[^-]', '-/');
@@ -1167,7 +1167,7 @@ hljs.registerLanguage("lean", function(hljs) {
var LEAN_DEFINITION = {
className: 'theorem',
begin: '\\b(def|theorem|lemma|class|structure|(?<!deriving\\s+)instance)\\b',
beginKeywords: 'def theorem lemma class instance structure',
end: ':= | where',
excludeEnd: true,
contains: [

Binary file not shown.

Before

Width:  |  Height:  |  Size: 20 KiB

After

Width:  |  Height:  |  Size: 28 KiB

View File

@@ -1,55 +0,0 @@
<?xml version="1.0" encoding="utf-8"?>
<DirectedGraph GraphDirection="TopToBottom" Layout="Sugiyama" Offset="-1264.63833333333,-729.52" ZoomLevel="1" xmlns="http://schemas.microsoft.com/vs/2009/dgml">
<Nodes>
<Node Id="Applicative" Bounds="-839,-412,78.3066666666667,25.96" UseManualLocation="True" />
<Node Id="Bind" Bounds="-703,-412.990048779297,50,25.96" UseManualLocation="True" />
<Node Id="Except" Category="concrete" Bounds="-631,-238,54.5166666666667,25.96" UseManualLocation="True" />
<Node Id="Functor" Bounds="-890.021657986111,-509,60.2533333333333,25.96" UseManualLocation="True" />
<Node Id="List" Category="concrete" Bounds="-922,-412,50,25.96" UseManualLocation="True" />
<Node Id="Monad" Bounds="-765,-339,57.77,25.96" UseManualLocation="True" />
<Node Id="Option" Category="concrete" Bounds="-903,-238,56.8933333333333,25.96" UseManualLocation="True" />
<Node Id="Pure" Bounds="-799,-509,50,25.96" UseManualLocation="True" />
<Node Id="ReaderM" Category="concrete" Bounds="-816,-238,67.5033333333333,25.96" UseManualLocation="True" />
<Node Id="Seq" Bounds="-719,-509,50,25.96" UseManualLocation="True" />
<Node Id="SeqLeft" Bounds="-639,-509,59.4666666666667,25.96" UseManualLocation="True" />
<Node Id="SeqRight" Bounds="-544,-509,67.7233333333333,25.96" UseManualLocation="True" />
<Node Id="StateM" Category="concrete" Bounds="-718.358888888889,-238,57.28,25.96" UseManualLocation="True" />
</Nodes>
<Links>
<Link Source="Applicative" Target="Functor" Bounds="-847.12242702921,-475.387638592472,39.2404278471513,63.3876385924717" />
<Link Source="Applicative" Target="Pure" Bounds="-796.388009621993,-474.343439288465,16.6120628262117,62.3434392884653" />
<Link Source="Applicative" Target="Seq" Bounds="-785.682854982818,-476.959367842732,70.8838407724442,64.9593678427323" />
<Link Source="Applicative" Target="SeqLeft" Bounds="-774.344312027491,-478.957606209781,131.554439087217,66.9576062097807" />
<Link Source="Applicative" Target="SeqRight" Bounds="-762.225406557428,-481.91850535998,209.970366938847,70.3021737715571" />
<Link Source="Except" Target="Monad" Bounds="-711.95378637201,-307.579654923495,91.1658051838909,69.5796549234947" />
<Link Source="List" Target="Functor" Bounds="-892.034814302334,-474.634018472681,23.9591319497622,62.6340184726814" />
<Link Source="Monad" Target="Applicative" Bounds="-782.595654197137,-379.260216894652,35.1486400418858,40.2602168946518" />
<Link Source="Monad" Target="Bind" Bounds="-725.919943874952,-379.952252619104,32.1656790368972,40.9522526191042" />
<Link Source="Option" Target="Monad" Bounds="-856.761951485149,-307.735551794831,95.5848867777901,69.7355517948313" />
<Link Source="ReaderM" Target="Monad" Bounds="-776.319514851485,-304.853562563497,30.5364127352738,66.8535625634966" />
<Link Source="StateM" Target="Monad" Bounds="-726.395530552052,-304.861622913356,30.7140523342301,66.8616229133556" />
</Links>
<Categories>
<Category Id="concrete" />
</Categories>
<Properties>
<Property Id="Bounds" DataType="System.Windows.Rect" />
<Property Id="Expression" DataType="System.String" />
<Property Id="GraphDirection" DataType="Microsoft.VisualStudio.Diagrams.Layout.LayoutOrientation" />
<Property Id="GroupLabel" DataType="System.String" />
<Property Id="IsEnabled" DataType="System.Boolean" />
<Property Id="Layout" DataType="System.String" />
<Property Id="Offset" DataType="System.String" />
<Property Id="TargetType" DataType="System.Type" />
<Property Id="UseManualLocation" DataType="System.Boolean" />
<Property Id="Value" DataType="System.String" />
<Property Id="ValueLabel" DataType="System.String" />
<Property Id="ZoomLevel" DataType="System.String" />
</Properties>
<Styles>
<Style TargetType="Node" GroupLabel="concrete" ValueLabel="True">
<Condition Expression="HasCategory('concrete')" />
<Setter Property="Background" Value="#FF91E7ED" />
</Style>
</Styles>
</DirectedGraph>

View File

@@ -1,106 +0,0 @@
<?xml version="1.0" encoding="utf-8"?>
<svg stroke-linecap="round" font-size="12" font-family="Segoe UI" width="485.7233333333333" height="336.96000000000004" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
<defs />
<g transform="translate(942,529)">
<g id="Applicative-&gt;Functor">
<path d="M -807.881999182059,-412 L -847.12242702921,-475.387638592472" fill="none" stroke="#A0A0A0" stroke-width="1" />
<path d="M -851.859658804052,-483.04 L -849.997117457574,-472.431939869483 C -848.256110200696,-474.68582647768 -845.988743857725,-476.089450707263 -843.19501842866,-476.642812558231 z" fill="#A0A0A0" stroke="#A0A0A0" stroke-width="1" stroke-linejoin="round" />
</g>
<g id="Applicative-&gt;Pure">
<path d="M -796.388009621993,-412 L -779.775946795781,-474.343439288465" fill="none" stroke="#A0A0A0" stroke-width="1" />
<path d="M -777.458657044673,-483.04 L -783.898561528809,-474.407061321009 C -781.064326160453,-474.686741473815 -778.487567431109,-474.000137103116 -776.168285340778,-472.347248208913 z" fill="#A0A0A0" stroke="#A0A0A0" stroke-width="1" stroke-linejoin="round" />
</g>
<g id="Applicative-&gt;Seq">
<path d="M -785.682854982818,-412 L -714.799014210374,-476.959367842732" fill="none" stroke="#A0A0A0" stroke-width="1" />
<path d="M -708.163811683849,-483.04 L -718.238762116551,-479.232720948158 C -715.699848604043,-477.942360809625 -713.898179816704,-475.97637487584 -712.833755754535,-473.334763146803 z" fill="#A0A0A0" stroke="#A0A0A0" stroke-width="1" stroke-linejoin="round" />
</g>
<g id="Applicative-&gt;SeqLeft">
<path d="M -774.344312027491,-412 L -642.789872940275,-478.957606209781" fill="none" stroke="#A0A0A0" stroke-width="1" />
<path d="M -634.769021305842,-483.04 L -645.495475917531,-482.068829848393 C -643.394672020307,-480.145880525993 -642.185073860242,-477.769331893569 -641.866681437336,-474.93918395112 z" fill="#A0A0A0" stroke="#A0A0A0" stroke-width="1" stroke-linejoin="round" />
</g>
<g id="Applicative-&gt;SeqRight">
<path d="M -762.225406557428,-411.616331588423 L -552.255039618581,-481.91850535998" fill="none" stroke="#A0A0A0" stroke-width="1" />
<path d="M -543.720702607113,-484.775967831244 L -554.473282607084,-485.394048201604 C -552.678367392102,-483.182851583901 -551.831711845061,-480.654159136059 -551.93331596596,-477.807970858076 z" fill="#A0A0A0" stroke="#A0A0A0" stroke-width="1" stroke-linejoin="round" />
</g>
<g id="Except-&gt;Monad">
<path d="M -620.787981188119,-238 L -711.95378637201,-307.579654923495" fill="none" stroke="#A0A0A0" stroke-width="1" />
<path d="M -719.108129922992,-313.04 L -713.585679344792,-303.793241670113 C -712.762726383344,-306.519752175201 -711.144846360676,-308.639557671788 -708.732039276787,-310.152658159875 z" fill="#A0A0A0" stroke="#A0A0A0" stroke-width="1" stroke-linejoin="round" />
</g>
<g id="List-&gt;Functor">
<path d="M -892.034814302334,-412 L -868.075682352572,-474.634018472681" fill="none" stroke="#A0A0A0" stroke-width="1" />
<path d="M -864.86017701711,-483.04 L -872.168952513098,-475.129134007629 C -869.321012949211,-475.110389633491 -866.830351755932,-474.157647311872 -864.696968933259,-472.270907042774 z" fill="#A0A0A0" stroke="#A0A0A0" stroke-width="1" stroke-linejoin="round" />
</g>
<g id="Monad-&gt;Applicative">
<path d="M -747.447014155251,-339 L -782.595654197137,-379.260216894652" fill="none" stroke="#A0A0A0" stroke-width="1" />
<path d="M -788.514652511416,-386.04 L -784.951224653483,-375.876241743267 C -783.60006650904,-378.383328255499 -781.591241885233,-380.137105533804 -778.924750782062,-381.137573578181 z" fill="#A0A0A0" stroke="#A0A0A0" stroke-width="1" stroke-linejoin="round" />
</g>
<g id="Monad-&gt;Bind">
<path d="M -725.919943874952,-339 L -693.754264838054,-379.952252619104" fill="none" stroke="#A0A0A0" stroke-width="1" />
<path d="M -688.195056125048,-387.030048779297 L -697.517641877363,-381.63659025153 C -694.802827232157,-380.775839095105 -692.705702443952,-379.128666143103 -691.226267512747,-376.695071395525 z" fill="#A0A0A0" stroke="#A0A0A0" stroke-width="1" stroke-linejoin="round" />
</g>
<g id="Option-&gt;Monad">
<path d="M -856.761951485149,-238 L -761.177064707358,-307.735551794831" fill="none" stroke="#A0A0A0" stroke-width="1" />
<path d="M -753.906381848185,-313.04 L -764.342450894008,-310.377583265001 C -761.962908885902,-308.81268999619 -760.391220528815,-306.658413593472 -759.627385822747,-303.914754056846 z" fill="#A0A0A0" stroke="#A0A0A0" stroke-width="1" stroke-linejoin="round" />
</g>
<g id="ReaderM-&gt;Monad">
<path d="M -776.319514851485,-238 L -745.783102116211,-304.853562563497" fill="none" stroke="#A0A0A0" stroke-width="1" />
<path d="M -742.043818481848,-313.04 L -749.836994714031,-305.60586224138 C -746.99590766236,-305.407530509328 -744.570296570063,-304.299594617665 -742.560161437139,-302.28205456639 z" fill="#A0A0A0" stroke="#A0A0A0" stroke-width="1" stroke-linejoin="round" />
</g>
<g id="StateM-&gt;Monad">
<path d="M -695.681478217822,-238 L -726.395530552052,-304.861622913356" fill="none" stroke="#A0A0A0" stroke-width="1" />
<path d="M -730.152410671067,-313.04 L -729.612933688448,-302.283189850833 C -727.607141972296,-304.305048080909 -725.183919131808,-305.418197745802 -722.343265166986,-305.622638845513 z" fill="#A0A0A0" stroke="#A0A0A0" stroke-width="1" stroke-linejoin="round" />
</g>
<g id="Applicative">
<rect x="-839" y="-412" rx="3" ry="3" width="78.3066666666667" height="25.96" fill="#FFFFFF" stroke="#A5A6A9" stroke-width="1" />
<text x="-829" y="-394.05" fill="#3D3D3D">Applicative</text>
</g>
<g id="Bind">
<rect x="-703" y="-412.990048779297" rx="3" ry="3" width="50" height="25.96" fill="#FFFFFF" stroke="#A5A6A9" stroke-width="1" />
<text x="-690" y="-395.040048779297" fill="#3D3D3D">Bind</text>
</g>
<g id="Except">
<rect x="-631" y="-238" rx="3" ry="3" width="54.5166666666667" height="25.96" fill="#91E7ED" stroke="#A5A6A9" stroke-width="1" />
<text x="-621" y="-220.05" fill="#3D3D3D">Except</text>
</g>
<g id="Functor">
<rect x="-890.021657986111" y="-509" rx="3" ry="3" width="60.2533333333333" height="25.96" fill="#FFFFFF" stroke="#A5A6A9" stroke-width="1" />
<text x="-880.021657986111" y="-491.05" fill="#3D3D3D">Functor</text>
</g>
<g id="List">
<rect x="-922" y="-412" rx="3" ry="3" width="50" height="25.96" fill="#91E7ED" stroke="#A5A6A9" stroke-width="1" />
<text x="-906" y="-394.05" fill="#3D3D3D">List</text>
</g>
<g id="Monad">
<rect x="-765" y="-339" rx="3" ry="3" width="57.77" height="25.96" fill="#FFFFFF" stroke="#A5A6A9" stroke-width="1" />
<text x="-755" y="-321.05" fill="#3D3D3D">Monad</text>
</g>
<g id="Option">
<rect x="-903" y="-238" rx="3" ry="3" width="56.8933333333333" height="25.96" fill="#91E7ED" stroke="#A5A6A9" stroke-width="1" />
<text x="-893" y="-220.05" fill="#3D3D3D">Option</text>
</g>
<g id="Pure">
<rect x="-799" y="-509" rx="3" ry="3" width="50" height="25.96" fill="#FFFFFF" stroke="#A5A6A9" stroke-width="1" />
<text x="-786" y="-491.05" fill="#3D3D3D">Pure</text>
</g>
<g id="ReaderM">
<rect x="-816" y="-238" rx="3" ry="3" width="67.5033333333333" height="25.96" fill="#91E7ED" stroke="#A5A6A9" stroke-width="1" />
<text x="-806" y="-220.05" fill="#3D3D3D">ReaderM</text>
</g>
<g id="Seq">
<rect x="-719" y="-509" rx="3" ry="3" width="50" height="25.96" fill="#FFFFFF" stroke="#A5A6A9" stroke-width="1" />
<text x="-704" y="-491.05" fill="#3D3D3D">Seq</text>
</g>
<g id="SeqLeft">
<rect x="-639" y="-509" rx="3" ry="3" width="59.4666666666667" height="25.96" fill="#FFFFFF" stroke="#A5A6A9" stroke-width="1" />
<text x="-629" y="-491.05" fill="#3D3D3D">SeqLeft</text>
</g>
<g id="SeqRight">
<rect x="-544" y="-509" rx="3" ry="3" width="67.7233333333333" height="25.96" fill="#FFFFFF" stroke="#A5A6A9" stroke-width="1" />
<text x="-534" y="-491.05" fill="#3D3D3D">SeqRight</text>
</g>
<g id="StateM">
<rect x="-718.358888888889" y="-238" rx="3" ry="3" width="57.28" height="25.96" fill="#91E7ED" stroke="#A5A6A9" stroke-width="1" />
<text x="-708.358888888889" y="-220.05" fill="#3D3D3D">StateM</text>
</g>
</g>
</svg>

Binary file not shown.

Before

Width:  |  Height:  |  Size: 57 KiB

Binary file not shown.

Before

Width:  |  Height:  |  Size: 23 KiB

View File

@@ -1,3 +1,3 @@
# Inductive Types
[Theorem Proving in Lean](https://lean-lang.org/theorem_proving_in_lean4/inductive_types.html) has a chapter about inductive datatypes.
[Theorem Proving in Lean](https://leanprover.github.io/theorem_proving_in_lean4/inductive_types.html) has a chapter about inductive datatypes.

View File

@@ -4,7 +4,7 @@
\lstdefinelanguage{lean} {
% Anything between $ becomes LaTeX math mode
% Anything betweeen $ becomes LaTeX math mode
mathescape=false,
% Comments may or not include Latex commands
texcl=false,
@@ -201,7 +201,6 @@ literate=
{}{{\ensuremath{_n}}}1
{}{{\ensuremath{_m}}}1
{}{{\ensuremath{_p}}}1
{}{{\ensuremath{\uparrow}}}1
{}{{\ensuremath{\downarrow}}}1
@@ -265,7 +264,7 @@ columns=[l]fullflexible,
% Style for (listings') identifiers
identifierstyle={\ttfamily\color{black}},
% Note : highlighting of Coq identifiers is done through a new
% delimiter definition through an lstset at the beginning of the
% delimiter definition through an lstset at the begining of the
% document. Don't know how to do better.
% Style for declaration keywords

View File

@@ -42,7 +42,7 @@ def Sum.str : Option Nat → String :=
## Implicit lambdas
In Lean 3 stdlib, we find many [instances](https://github.com/leanprover/lean/blob/master/library/init/category/reader.lean#L39) of the dreadful `@`+`_` idiom.
It is often used when the expected type is a function type with implicit arguments,
It is often used when we the expected type is a function type with implicit arguments,
and we have a constant (`reader_t.pure` in the example) which also takes implicit arguments. In Lean 4, the elaborator automatically introduces lambdas
for consuming implicit arguments. We are still exploring this feature and analyzing its impact, but the experience so far has been very positive. As an example,
here is the example in the link above using Lean 4 implicit lambdas.
@@ -85,7 +85,7 @@ def id5 : {α : Type} → αα :=
## Sugar for simple functions
In Lean 3, we can create simple functions from infix operators by using parentheses. For example, `(+1)` is sugar for `fun x, x + 1`. In Lean 4, we generalize this notation using `·` as a placeholder. Here are a few examples:
In Lean 3, we can create simple functions from infix operators by using parentheses. For example, `(+1)` is sugar for `fun x, x + 1`. In Lean 4, we generalize this notation using `·` As a placeholder. Here are a few examples:
```lean
# namespace ex3
@@ -196,8 +196,6 @@ example (f : Nat → Nat) (a b c : Nat) : f (a + b + c) = f (a + (b + c)) :=
congrArg f (Nat.add_assoc ..)
```
In Lean 4, writing `f(x)` in place of `f x` is no longer allowed, you must use whitespace between the function and its arguments (e.g., `f (x)`).
## Dependent function types
Given `α : Type` and `β : α → Type`, `(x : α) → β x` denotes the type of functions `f` with the property that,
@@ -289,11 +287,11 @@ Lean execution runtime. For example, we cannot prove in Lean that arrays have a
the runtime used to execute Lean programs guarantees that an array cannot have more than 2^64 (2^32) elements
in a 64-bit (32-bit) machine. We can take advantage of this fact to provide a more efficient implementation for
array functions. However, the efficient version would not be very useful if it can only be used in
unsafe code. Thus, Lean 4 provides the attribute `@[implemented_by functionName]`. The idea is to provide
unsafe code. Thus, Lean 4 provides the attribute `@[implementedBy functionName]`. The idea is to provide
an unsafe (and potentially more efficient) version of a safe definition or constant. The function `f`
at the attribute `@[implemented_by f]` is very similar to an extern/foreign function,
at the attribute `@[implementedBy f]` is very similar to an extern/foreign function,
the key difference is that it is implemented in Lean itself. Again, the logical soundness of the system
cannot be compromised by using the attribute `implemented_by`, but if the implementation is incorrect your
cannot be compromised by using the attribute `implementedBy`, but if the implementation is incorrect your
program may crash at runtime. In the following example, we define `withPtrUnsafe a k h` which
executes `k` using the memory address where `a` is stored in memory. The argument `h` is proof
that `k` is a constant function. Then, we "seal" this unsafe implementation at `withPtr`. The proof `h`
@@ -304,7 +302,7 @@ unsafe
def withPtrUnsafe {α β : Type} (a : α) (k : USize β) (h : u, k u = k 0) : β :=
k (ptrAddrUnsafe a)
@[implemented_by withPtrUnsafe]
@[implementedBy withPtrUnsafe]
def withPtr {α β : Type} (a : α) (k : USize β) (h : u, k u = k 0) : β :=
k 0
```
@@ -342,7 +340,8 @@ partial def f (x : Nat) : IO Unit := do
These are changes to the library which may trip up Lean 3 users:
- `List` is no longer a monad.
- `Option` and `List` are no longer monads. Instead there is `OptionM`. This was done to avoid some performance traps. For example `o₁ <|> o₂` where `o₁ o₂ : Option α` will evaluate both `o₁` and `o₂` even if `o₁` evaluates to `some x`. This can be a problem if `o₂` requires a lot of compute to evaluate. A zulip discussion on this design choice is [here](https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Option.20do.20notation.20regression.3F).
## Style changes

View File

@@ -8,7 +8,7 @@ A Lean program consists of a stream of UTF-8 tokens where each token
is one of the following:
```
token: symbol | command | ident | string | raw_string | char | numeral |
token: symbol | command | ident | string | char | numeral |
: decimal | doc_comment | mod_doc_comment | field_notation
```
@@ -79,35 +79,15 @@ special characters:
[Unicode table](https://unicode-table.com/en/) so "\xA9 Copyright 2021" is "© Copyright 2021".
- `\uHHHH` puts the character represented by the 4 digit hexadecimal into the string, so the following
string "\u65e5\u672c" will become "日本" which means "Japan".
- `\` followed by a newline and then any amount of whitespace is a "gap" that is equivalent to the empty string,
useful for letting a string literal span across multiple lines. Gaps spanning multiple lines can be confusing,
so the parser raises an error if the trailing whitespace contains any newlines.
So the complete syntax is:
```
string : '"' string_item '"'
string_item : string_char | char_escape | string_gap
string_char : [^"\\]
char_escape : "\" ("\" | '"' | "'" | "n" | "t" | "x" hex_char{2} | "u" hex_char{4})
string_item : string_char | string_escape
string_char : [^\\]
string_escape: "\" ("\" | '"' | "'" | "n" | "t" | "x" hex_char{2} | "u" hex_char{4} )
hex_char : [0-9a-fA-F]
string_gap : "\" newline whitespace*
```
Raw String Literals
===================
Raw string literals are string literals without any escape character processing.
They begin with `r##...#"` (with zero or more `#` characters) and end with `"#...##` (with the same number of `#` characters).
The contents of a raw string literal may contain `"##..#` so long as the number of `#` characters
is less than the number of `#` characters used to begin the raw string literal.
```
raw_string : raw_string_aux(0) | raw_string_aux(1) | raw_string_aux(2) | ...
raw_string_aux(n) : 'r' '#'{n} '"' raw_string_item '"' '#'{n}
raw_string_item(n) : raw_string_char | raw_string_quote(n)
raw_string_char : [^"]
raw_string_quote(n) : '"' '#'{0..n-1}
```
Char Literals
@@ -116,9 +96,7 @@ Char Literals
Char literals are enclosed by single quotes (``'``).
```
char : "'" char_item "'"
char_item : char_char | char_escape
char_char : [^'\\]
char: "'" string_item "'"
```
Numeric Literals

View File

@@ -1,7 +1,7 @@
# Macro Overview
The official paper describing the mechanics behind Lean 4's macro system can be
The offical paper describing the mechanics behind Lean 4's macro system can be
found in [Beyond Notations: Hygienic Macro Expansion for Theorem Proving
Languages](https://arxiv.org/abs/2001.10490) by Sebastian Ullrich and Leonardo
de Moura, and the accompanying repo with example code can be found in the
@@ -68,7 +68,7 @@ carries state needed for macro expansion to work nicely, including the info
needed to implement hygiene.
As an example, we again refer to Mathlib's set builder notation:
```lean
```
/- Declares a parser -/
syntax (priority := high) "{" term,+ "}" : term
@@ -95,8 +95,7 @@ simplified representation which omits details in the `atom` and `ident`
constructors; users can create atoms and idents which comport with this
simplified representation using the `mkAtom` and `mkIdent` methods provided in
the `Lean` namespace.
```lean
# open Lean
```
inductive Syntax where
| missing : Syntax
| node (kind : SyntaxNodeKind) (args : Array Syntax) : Syntax
@@ -107,14 +106,12 @@ inductive Syntax where
For those interested, `MacroM` is a `ReaderT`:
```lean
# open Lean
```
abbrev MacroM := ReaderT Macro.Context (EStateM Macro.Exception Macro.State)
```
The other relevant components are defined as follows:
```lean
# open Lean
```
structure Context where
methods : MethodsRef
mainModule : Name
@@ -151,7 +148,7 @@ or mathlib4's `binderterm`. These are the different categories of things that
can be referred to in a quote/antiquote. `declare_syntax_cat` results in a call
to `registerParserCategory` and produces a new parser descriptor:
```lean
```
set_option trace.Elab.definition true in
declare_syntax_cat binderterm
@@ -181,8 +178,7 @@ macro/pattern language by way of the `syntax` keyword. This is the recommended
means of writing parsers. As an example, the parser for the `rwa` (rewrite, then
use assumption) tactic is:
```lean
# open Lean.Parser.Tactic
```
set_option trace.Elab.definition true in
syntax "rwa " rwRuleSeq (location)? : tactic
@@ -211,17 +207,15 @@ mark, which is not what we want.
The name `tacticRwa__` is automatically generated. You can name parser
descriptors declared with the `syntax` keyword like so:
```lean
```
set_option trace.Elab.definition true in
syntax (name := introv) "introv " (colGt ident)* : tactic
/-
[Elab.definition.body] introv : Lean.ParserDescr :=
Lean.ParserDescr.node `introv 1022
(Lean.ParserDescr.binary `andthen (Lean.ParserDescr.nonReservedSymbol "introv " false)
(Lean.ParserDescr.unary `many
(Lean.ParserDescr.binary `andthen (Lean.ParserDescr.const `colGt) (Lean.ParserDescr.const `ident))))
-/
```
## The pattern language
@@ -257,7 +251,7 @@ pretty printed output.
## Syntax expansions with `macro_rules`, and how it desugars.
`macro_rules` lets you declare expansions for a given `Syntax` element using a
syntax similar to a `match` statement. The left-hand side of a match arm is a
syntax simlar to a `match` statement. The left-hand side of a match arm is a
quotation (with a leading `<cat>|` for categories other than `term` and
`command`) in which users can specify the pattern they'd like to write an
expansion for. The right-hand side returns a syntax quotation which is the
@@ -274,7 +268,7 @@ declared with `macro_rules`. This `transitivity` tactic is implemented such that
it will work for either Nat.le or Nat.lt. The Nat.lt version was declared "most
recently", so it will be tried first, but if it fails (for example, if the
actual term in question is Nat.le) the next potential expansion will be tried:
```lean
```
macro "transitivity" e:(colGt term) : tactic => `(tactic| apply Nat.le_trans (m := $e))
macro_rules
| `(tactic| transitivity $e) => `(tactic| apply Nat.lt_trans (m := $e))
@@ -289,20 +283,18 @@ example (a b c : Nat) (h0 : a <= b) (h1 : b <= c) : a <= c := by
/- This will fail, but is interesting in that it exposes the "most-recent first" behavior, since the
error message complains about being unable to unify mvar1 <= mvar2, rather than mvar1 < mvar2. -/
/-
example (a b c : Nat) (h0 : a <= b) (h1 : b <= c) : False := by
transitivity b <;>
assumption
-/
```
To see the desugared definition of the actual expansion, we can again use
`set_option trace.Elab.definition true in` and observe the output of the humble
`exfalso` tactic defined in Mathlib4:
```lean
```
set_option trace.Elab.definition true in
macro "exfalso" : tactic => `(tactic| apply False.elim)
macro "exfalso" : tactic => `(apply False.elim)
/-
Results in the expansion:
@@ -336,8 +328,7 @@ fun x =>
We can also create the syntax transformer declaration ourselves instead of using
`macro_rules`. We'll need to name our parser and use the attribute `@[macro
myExFalsoParser]` to associate our declaration with the parser:
```lean
# open Lean
```
syntax (name := myExfalsoParser) "myExfalso" : tactic
-- remember that `Macro` is a synonym for `Syntax -> TacticM Unit`
@@ -352,12 +343,12 @@ example (p : Prop) (h : p) (f : p -> False) : 3 = 2 := by
In the above example, we're still using the sugar Lean provides for creating
quotations, as it feels more intuitive and saves us some work. It is possible to
forego the sugar altogether:
```lean
```
syntax (name := myExfalsoParser) "myExfalso" : tactic
@[macro myExfalsoParser] def implMyExfalso : Lean.Macro :=
fun stx => pure (Lean.mkNode `Lean.Parser.Tactic.apply
#[Lean.mkAtomFrom stx "apply", Lean.mkCIdentFrom stx ``False.elim])
fun stx => Lean.mkNode `Lean.Parser.Tactic.apply
#[Lean.mkAtomFrom stx "apply", Lean.mkCIdentFrom stx ``False.elim]
example (p : Prop) (h : p) (f : p -> False) : 3 = 2 := by
myExfalso

View File

@@ -10,9 +10,12 @@ Platform-Specific Setup
- [Linux (Ubuntu)](ubuntu.md)
- [Windows (msys2)](msys2.md)
- [Windows (Visual Studio)](msvc.md)
- [Windows (WSL)](wsl.md)
- [macOS (homebrew)](osx-10.9.md)
- Linux/macOS/WSL via [Nix](https://nixos.org/nix/): Call `nix develop` in the project root. That's it.
- Linux/macOS/WSL via [Nix](https://nixos.org/nix/): Call `nix-shell` in the project root. That's it.
- There is also an [**experimental** setup based purely on Nix](nix.md) that works fundamentally differently from the
make/CMake setup described on this page.
Generic Build Instructions
--------------------------

110
doc/make/nix.md Normal file
View File

@@ -0,0 +1,110 @@
# Building with Nix
While [Nix](https://nixos.org/nix/) can be used to quickly open a shell with all dependencies for the [standard setup](index.md) installed, the user-facing [Nix Setup](../setup.md#nix-setup) can also be used to work *on* Lean.
## Setup
Follow the setup in the link above; to open the Lean shell inside a Lean checkout, you can also use
```bash
# in the Lean root directory
$ nix-shell -A nix
```
On top of the local and remote Nix cache, we do still rely on CCache as well to make C/C++ build steps incremental, which are atomic steps from Nix's point of view.
To enable CCache, add the following line to the config file mentioned in the setup:
```bash
extra-sandbox-paths = /nix/var/cache/ccache
```
Then set up that directory as follows:
```bash
sudo mkdir -m0770 -p /nix/var/cache/ccache
# macOS standard chown doesn't support --reference
nix shell .#nixpkgs.coreutils -c sudo chown --reference=/nix/store /nix/var/cache/ccache
```
## Basic Build Commands
From the Lean root directory inside the Lean shell:
```bash
nix build .#stage1 # build this stage's stdlib & executable
nix build .#stage1.test # run all tests
nix run .#stage1.update-stage0 # update ./stage0 from this stage
nix run .#stage1.update-stage0-commit # ...and commit the results
```
The `stage1.` part in each command is optional:
```bash
nix build .#test # run tests for stage 1
nix build . # build stage 1
nix build # ditto
```
## Build Process Description
The Nix build process conceptually works the same as described in [Lean Build Pipeline](index.md#lean-build-pipeline).
However, there are two important differences in practice apart from the standard Nix properties (hermeneutic, reproducible builds stored in a global hash-indexed store etc.):
* Only files tracked by git (using `git add` or at least `git add --intent-to-add`) are compiled.
This is actually a general property of Nix flakes, and has the benefit of making it basically impossible to forget to commit a file (at least in `src/`).
* Only files reachable from `src/Lean.lean` are compiled.
This is because modules are discovered not from a directory listing anymore but by recursively compiling all dependencies of that top module.
## Editor Integration
As in the standard Nix setup.
After adding `src/` as an LSP workspace, it should automatically fall back to using stage 0 in there.
Note that the UX of `{emacs,vscode}-dev` is quite different from the Make-based setup regarding the compilation of dependencies:
there is no mutable directory incrementally filled by the build that we could point the editor at for .olean files.
Instead, `emacs-dev` will gather the individual dependency outputs from the Nix store when checking a file -- and build them on the fly when necessary.
However, it will only ever load changes saved to disk, not ones opened in other buffers.
The absence of a mutable output directory also means that the Lean server will not automatically pick up `.ilean` metadata from newly compiled files.
Instead, you can run `nix run .#link-ilean` to symlink the `.ilean` tree of the stdlib state at that point in time to `src/build/lib`, where the server should automatically find them.
## Other Fun Stuff to Do with Nix
Open Emacs with Lean set up from an arbitrary commit (without even cloning Lean beforehand... if your Nix is new enough):
```bash
nix run github:leanprover/lean4/7e4edeb#emacs-package
```
Open a shell with `lean` and `LEAN_PATH` set up for compiling a specific module (this is exactly what `emacs-dev` is doing internally):
```bash
nix develop .#mods.\"Lean.Parser.Basic\"
# alternatively, directly pass a command to execute:
nix develop .#stage2.mods.\"Init.Control.Basic\" -c bash -c 'lean $src -Dtrace.Elab.command=true'
```
Not sure what you just broke? Run Lean from (e.g.) the previous commit on a file:
```bash
nix run .\?rev=$(git rev-parse @^) scratch.lean
```
Work on two adjacent stages at the same time without the need for repeatedly updating and reverting `stage0/`:
```bash
# open an editor that will use only committed changes (so first commit them when changing files)
nix run .#HEAD-as-stage1.emacs-dev&
# open a second editor that will use those commited changes as stage 0
# (so don't commit changes done here until you are done and ran a final `update-stage0-commit`)
nix run .#HEAD-as-stage0.emacs-dev&
```
To run `nix build` on the second stage outside of the second editor, use
```bash
nix build .#stage0-from-input --override-input lean-stage0 .\?rev=$(git rev-parse HEAD)
```
This setup will inadvertently change your `flake.lock` file, which you can revert when you are done.
...more surely to come...
## Debugging
Since Nix copies all source files before compilation, you will need to map debug symbols back to the original path using `set substitute-path` in GDB.
For example, for a build on Linux with the Nix sandbox activated:
```bash
(gdb) f
#1 0x0000000000d23a4f in lean_inc (o=0x1) at /build/source/build/include/lean/lean.h:562
562 /build/source/build/include/lean/lean.h: No such file or directory.
(gdb) set substitute-path /build/source/build src
(gdb) f
#1 0x0000000000d23a4f in lean_inc (o=0x1) at /build/source/build/include/lean/lean.h:562
562 static inline void lean_inc(lean_object * o) { if (!lean_is_scalar(o)) lean_inc_ref(o); }
```

View File

@@ -60,7 +60,7 @@ While parsing `a * (b + c)`, `(b + c)` is assigned a precedence `60` by the addi
the right argument to have precedence **at least** 71. Thus, this parse is invalid. In contrast, `(a * b) + c` assigns
a precedence of `70` to `(a * b)`. This is compatible with addition which expects the left argument to have precedence
**at least `60` ** (`70` is greater than `60`). Thus, the string `a * b + c` is parsed as `(a * b) + c`.
For more details, please look at the [Lean manual on syntax extensions](./notation.md#notations-and-precedence).
For more details, please look at the [Lean manual on syntax extensions](../syntax.md#notations-and-precedence).
To go from strings into `Arith`, we define a macro to
translate the syntax category `arith` into an `Arith` inductive value that

View File

@@ -1 +0,0 @@
*.lean.md

View File

@@ -1,334 +0,0 @@
/-!
# Applicative Functors
Building on [Functors](functors.lean.md) is the [Applicative
Functor](https://en.wikipedia.org/wiki/Applicative_functor). For simplicity, you can refer to these
simply as "Applicatives". These are a little tricker than functors, but still simpler than monads.
Let's see how they work!
## What is an Applicative Functor?
An applicative functor defines a default or "base" construction for an object and allows
function application to be chained across multiple instances of the structure. All applicative
functors are functors, meaning they must also support the "map" operation.
## How are Applicatives represented in Lean?
An [applicative functor](https://en.wikipedia.org/wiki/Applicative_functor) is an intermediate
structure between `Functor` and `Monad`. It mainly consists of two operations:
* `pure : α → F α`
* `seq : F (α → β) → F α → F β` (written as `<*>`)
The `pure` operator specifies how you can wrap a normal object `α` into an instance of this structure `F α`.
This is the "default" mechanism mentioned above.
The `seq` operator allows you to chain operations by wrapping a function in a structure. The name
"applicative" comes from the fact that you "apply" functions from within the structure, rather than
simply from outside the structure, as was the case with `Functor.map`.
Applicative in Lean is built on some helper type classes, `Functor`, `Pure` and `Seq`:
-/
namespace hidden -- hidden
class Applicative (f : Type u Type v) extends Functor f, Pure f, Seq f, SeqLeft f, SeqRight f where
map := fun x y => Seq.seq (pure x) fun _ => y
seqLeft := fun a b => Seq.seq (Functor.map (Function.const _) a) b
seqRight := fun a b => Seq.seq (Functor.map (Function.const _ id) a) b
end hidden -- hidden
/-!
Notice that as with `Functor` it is also a type transformer `(f : Type u → Type v)` and notice the
`extends Functor f` is ensuring the base `Functor` also performs that same type transformation.
As stated above, all applicatives are then functors. This means you can assume that `map` already
exists for all these types.
The `Pure` base type class is a very simple type class that supplies the `pure` function.
-/
namespace hidden -- hidden
class Pure (f : Type u Type v) where
pure {α : Type u} : α f α
end hidden -- hidden
/-!
You can think of it as lifting the result of a pure value to some monadic type. The simplest example
of `pure` is the `Option` type:
-/
#eval (pure 10 : Option Nat) -- some 10
/-!
Here we used the `Option` implementation of `pure` to wrap the `Nat 10` value in an `Option Nat`
type resulting in the value `some 10`, and in fact if you look at the Monad instance of `Option` , you
will see that `pure` is indeed implemented using `Option.some`:
-/
instance : Monad Option where
pure := Option.some
/-!
The `Seq` type class is also a simple type class that provides the `seq` operator which can
also be written using the special syntax `<*>`.
-/
namespace hidden -- hidden
class Seq (f : Type u Type v) : Type (max (u+1) v) where
seq : {α β : Type u} f (α β) (Unit f α) f β
end hidden -- hidden
/-!
## Basic Applicative Examples
Many of the basic functors also have instances of `Applicative`.
For example, `Option` is also `Applicative`.
So let's take a look and what the `seq` operator can do. Suppose you want to multiply two `Option Nat`
objects. Your first attempt might be this:
-/
#check_failure (some 4) * (some 5) -- failed to synthesize instance
/-!
You then might wonder how to use the `Functor.map` to solve this since you could do these before:
-/
#eval (some 4).map (fun x => x * 5) -- some 20
#eval (some 4).map (· * 5) -- some 20
#eval (· * 5) <$> (some 4) -- some 20
/-!
Remember that `<$>` is the infix notation for `Functor.map`.
The functor `map` operation can apply a multiplication to the value in the `Option` and then lift the
result back up to become a new `Option` , but this isn't what you need here.
The `Seq.seq` operator `<*>` can help since it can apply a function to the items inside a
container and then lift the result back up to the desired type, namely `Option` .
There are two ways to do this:
-/
#eval pure (.*.) <*> some 4 <*> some 5 -- some 20
#eval (.*.) <$> some 4 <*> some 5 -- some 20
/-!
In the first way, we start off by wrapping the function in an applicative using pure. Then we apply
this to the first `Option` , and again to the second `Option` in a chain of operations. So you can see
how `Seq.seq` can be chained in fact, `Seq.seq` is really all about chaining of operations.
But in this case there is a simpler way. In the second way, you can see that "applying" a single
function to a container is the same as using `Functor.map`. So you use `<$>` to "transform" the first
option into an `Option` containing a function, and then apply this function over the second value.
Now if either side is `none`, the result is `none`, as expected, and in this case the
`seq` operator was able to eliminate the multiplication:
-/
#eval (.*.) <$> none <*> some 5 -- none
#eval (.*.) <$> some 4 <*> none -- none
/-!
For a more interesting example, let's make `List` an applicative by adding the following
definition:
-/
instance : Applicative List where
pure := List.pure
seq f x := List.bind f fun y => Functor.map y (x ())
/-!
Notice you can now sequence a _list_ of functions and a _list_ of items.
The trivial case of sequencing a singleton list is in fact the same as `map`, as you saw
earlier with the `Option` examples:
-/
#eval [ (·+2)] <*> [4, 6] -- [6, 8]
#eval (·+2) <$> [4,6] -- [6, 8]
/-!
But now with list it is easier to show the difference when you do this:
-/
#eval [(·+2), (· *3)] <*> [4, 6] -- [6, 8, 12, 18]
/-!
Why did this produce 4 values? The reason is because `<*>` applies _every_ function to _every_
value in a pairwise manner. This makes sequence really convenient for solving certain problems. For
example, how do you get the pairwise combinations of all values from two lists?
-/
#eval Prod.mk <$> [1, 2, 3] <*> [4, 5, 6]
-- [(1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6)]
/-!
How do you get the sum of these pairwise values?
-/
#eval (·+·) <$> [1, 2, 3] <*> [4, 5, 6]
-- [5, 6, 7, 6, 7, 8, 7, 8, 9]
/-!
Here you can use `<$>` to "transform" each element of the first list into a function, and then apply
these functions over the second list.
If you have 3 lists, and want to find all combinations of 3 values across those lists you
would need helper function that can create a tuple out of 3 values, and Lean provides a
very convenient syntax for that `(·,·,·)`:
-/
#eval (·,·,·) <$> [1, 2] <*> [3, 4] <*> [5, 6]
-- [(1, 3, 5), (1, 3, 6), (1, 4, 5), (1, 4, 6), (2, 3, 5), (2, 3, 6), (2, 4, 5), (2, 4, 6)]
/-!
And you could sum these combinations if you first define a sum function that takes three inputs and
then you could chain apply this over the three lists. Again lean can create such a function
with the expression `(·+·+·)`:
-/
#eval (·+·+·) <$> [1, 2] <*> [3, 4] <*> [5, 6]
-- [9, 10, 10, 11, 10, 11, 11, 12]
/-!
And indeed each sum here matches the expected values if you manually sum the triples we
show above.
**Side note:** there is another way to combine lists with a function that does not do the pairwise
combinatorics, it is called `List.zipWith`:
-/
#eval List.zipWith (·+·) [1, 2, 3] [4, 5, 6]
-- [5, 7, 9]
/-!
And there is a helper function named `List.zip` that calls `zipWith` using the function `Prod.mk`
so you get a nice zipped list like this:
-/
#eval List.zip [1, 2, 3] [4, 5, 6]
-- [(1, 4), (2, 5), (3, 6)]
/-!
And of course, as you would expect, there is an `unzip` also:
-/
#eval List.unzip (List.zip [1, 2, 3] [4, 5, 6])
-- ([1, 2, 3], [4, 5, 6])
/-!
## Example: A Functor that is not Applicative
From the chapter on [functors](functors.lean.md) you might remember this example of `LivingSpace`
that had a `Functor` instance:
-/
structure LivingSpace (α : Type) where
totalSize : α
numBedrooms : Nat
masterBedroomSize : α
livingRoomSize : α
kitchenSize : α
deriving Repr, BEq
def LivingSpace.map (f : α β) (s : LivingSpace α) : LivingSpace β :=
{ totalSize := f s.totalSize
numBedrooms := s.numBedrooms
masterBedroomSize := f s.masterBedroomSize
livingRoomSize := f s.livingRoomSize
kitchenSize := f s.kitchenSize }
instance : Functor LivingSpace where
map := LivingSpace.map
/-!
It wouldn't really make sense to make an `Applicative` instance here. How would you write `pure` in
the `Applicative` instance? By taking a single value and plugging it in for total size _and_ the
master bedroom size _and_ the living room size? That wouldn't really make sense. And what would the
numBedrooms value be for the default? What would it mean to "chain" two of these objects together?
If you can't answer these questions very well, then it suggests this type isn't really an
Applicative functor.
## SeqLeft and SeqRight
You may remember seeing the `SeqLeft` and `SeqRight` base types on `class Applicative` earlier.
These provide the `seqLeft` and `seqRight` operations which also have some handy notation
shorthands `<*` and `*>` respectively. Where: `x <* y` evaluates `x`, then `y`, and returns the
result of `x` and `x *> y` evaluates `x`, then `y`, and returns the result of `y`.
To make it easier to remember, notice that it returns that value that the `<*` or `*>` notation is
pointing at. For example:
-/
#eval (some 1) *> (some 2) -- Some 2
#eval (some 1) <* (some 2) -- Some 1
/-!
So these are a kind of "discard" operation. Run all the actions, but only return the values that you
care about. It will be easier to see these in action when you get to full Monads, but they are used
heavily in the Lean `Parsec` parser combinator library where you will find parsing functions like
this one which parses the XML declaration `<?xml version="1.0" encoding='utf-8' standalone="yes">`:
```lean
def XMLdecl : Parsec Unit := do
skipString "<?xml"
VersionInfo
optional EncodingDecl *> optional SDDecl *> optional S *> skipString "?>"
```
But you will need to understand full Monads before this will make sense.
## Lazy Evaluation
Diving a bit deeper, (you can skip this and jump to the [Applicative
Laws](laws.lean.md#what-are-the-applicative-laws) if don't want to dive into this implementation detail right
now). But, if you write a simple `Option` example `(.*.) <$> some 4 <*> some 5` that produces `some 20`
using `Seq.seq` you will see something interesting:
-/
#eval Seq.seq ((.*.) <$> some 4) (fun (_ : Unit) => some 5) -- some 20
/-!
This may look a bit cumbersome, specifically, why did we need to invent this funny looking function
`fun (_ : Unit) => (some 5)`?
Well if you take a close look at the type class definition:
```lean
class Seq (f : Type u → Type v) where
seq : {α β : Type u} → f (α → β) → (Unit → f α) → f β
```
You will see this function defined here: `(Unit → f α)`, this is a function that takes `Unit` as input
and produces the output of type `f α` where `f` is the container type `Type u -> Type v`, in this example `Option`
and `α` is the element type `Nat`, so `fun (_ : Unit) => some 5` matches this definition because
it is taking an input of type Unit and producing `some 5` which is type `Option Nat`.
The that `seq` is defined this way is because Lean is an eagerly evaluated language
(call-by-value), you have to use this kind of Unit function whenever you want to explicitly delay
evaluation and `seq` wants that so it can eliminate unnecessary function evaluations whenever
possible.
Fortunately the `<*>` infix notation hides this from you by creating this wrapper function for you.
If you look up the notation using F12 in VS Code you will find it contains `(fun _ : Unit => b)`.
Now to complete this picture you will find the default implementation of `seq` on the Lean `Monad`
type class:
```lean
class Monad (m : Type u → Type v) extends Applicative m, Bind m where
seq f x := bind f fun y => Functor.map y (x ())
```
Notice here that `x` is the `(Unit → f α)` function, and it is calling that function by passing the
Unit value `()`, which is the Unit value (Unit.unit). All this just to ensure delayed evaluation.
## How do Applicatives help with Monads?
Applicatives are helpful for the same reasons as functors. They're a relatively simple abstract
structure that has practical applications in your code. Now that you understand how chaining
operations can fit into a structure definition, you're in a good position to start learning about
[Monads](monads.lean.md)!
-/

View File

@@ -1,178 +0,0 @@
/-!
# Except
The `Except` Monad adds exception handling behavior to your functions. Exception handling
in other languages like Python or Java is done with a built in `throw` method that you
can use anywhere. In `Lean` you can only `throw` an exception when your function is
executing in the context of an `Except` monad.
-/
def divide (x y: Float): Except String Float :=
if y == 0 then
throw "can't divide by zero"
else
pure (x / y)
#eval divide 5 2 -- Except.ok 2.500000
#eval divide 5 0 -- Except.error "can't divide by zero"
/-!
Just as the `read` operation was available from the `ReaderM` monad and the `get` and `set`
operations came with the `StateM` monad, here you can see a `throw` operation is provided by the
`Except` monad.
So in Lean, `throw` is not available everywhere like it is in most imperative programming languages.
You have to declare your function can throw by changing the type signature to `Except String Float`.
This creates a function that might return an error of type `String` or it might return a value of
type `Float` in the non-error case.
Once your function is monadic you also need to use the `pure` constructor of the `Except` monad to
convert the pure non-monadic value `x / y` into the required `Except` object. See
[Applicatives](applicatives.lean.md) for details on `pure`.
Now this return typing would get tedious if you had to include it everywhere that you call this
function, however, Lean type inference can clean this up. For example, you can define a test
function that calls the `divide` function and you don't need to say anything here about the fact that
it might throw an error, because that is inferred:
-/
def test := divide 5 0
#check test -- Except String Float
/-!
Notice the Lean compiler infers the required `Except String Float` type information for you.
And now you can run this test and get the expected exception:
-/
#eval test -- Except.error "can't divide by zero"
/-!
## Chaining
Now as before you can build a chain of monadic actions that can be composed together using `bind (>>=)`:
-/
def square (x : Float) : Except String Float :=
if x >= 100 then
throw "it's absolutely huge"
else
pure (x * x)
#eval divide 6 2 >>= square -- Except.ok 9.000000
#eval divide 6 0 >>= square -- Except.error "can't divide by zero"
#eval divide 100 1 >>= square -- Except.error "it's absolutely huge"
def chainUsingDoNotation := do
let r divide 6 0
square r
#eval chainUsingDoNotation -- Except.error "can't divide by zero"
/-!
Notice in the second `divide 6 0` the exception from that division was nicely propagated along
to the final result and the square function was ignored in that case. You can see why the
`square` function was ignored if you look at the implementation of `Except.bind`:
-/
def bind (ma : Except ε α) (f : α Except ε β) : Except ε β :=
match ma with
| Except.error err => Except.error err
| Except.ok v => f v
/-!
Specifically notice that it only calls the next function `f v` in the `Except.ok`, and
in the error case it simply passes the same error along.
Remember also that you can chain the actions with implicit binding by using the `do` notation
as you see in the `chainUsingDoNotation` function above.
## Try/Catch
Now with all good exception handling you also want to be able to catch exceptions so your program
can continue on or do some error recovery task, which you can do like this:
-/
def testCatch :=
try
let r divide 8 0 -- 'r' is type Float
pure (toString r)
catch e =>
pure s!"Caught exception: {e}"
#check testCatch -- Except String String
/-!
Note that the type inferred by Lean for this function is `Except String String` so unlike the
`test` function earlier, this time Lean type inference has figured out that since the pure
value `(toString r)` is of type `String`, then this function must have type `Except String String`
so you don't have to explicitly state this. You can always hover your mouse over `testCatch`
or use `#check testCatch` to query Lean interactively to figure out what type inference
has decided. Lean type inference makes life easy for you, so it's good to use it
when you can.
You can now see the try/catch working in this eval:
-/
#eval testCatch -- Except.ok "Caught exception: can't divide by zero"
/-!
Notice the `Caught exception:` wrapped message is returned, and that it is returned as an
`Except.ok` value, meaning `testCatch` eliminated the error result as expected.
So you've interleaved a new concept into your functions (exception handling) and the compiler is still
able to type check everything just as well as it does for pure functions and it's been able to infer
some things along the way to make it even easier to manage.
Now you might be wondering why `testCatch` doesn't infer the return type `String`? Lean does this as a
convenience since you could have a rethrow in or after the catch block. If you really want to stop
the `Except` type from bubbling up you can unwrap it like this:
-/
def testUnwrap : String := Id.run do
let r divide 8 0 -- r is type Except String Float
match r with
| .ok a => toString a -- 'a' is type Float
| .error e => s!"Caught exception: {e}"
#check testUnwrap -- String
#eval testUnwrap -- "Caught exception: can't divide by zero"
/-!
The `Id.run` function is a helper function that executes the `do` block and returns the result where
`Id` is the _identity monad_. So `Id.run do` is a pattern you can use to execute monads in a
function that is not itself monadic. This works for all monads except `IO` which, as stated earlier,
you cannot invent out of thin air, you must use the `IO` monad given to your `main` function.
## Monadic functions
You can also write functions that are designed to operate in the context of a monad.
These functions typically end in upper case M like `List.forM` used below:
-/
def validateList (x : List Nat) (max : Nat): Except String Unit := do
x.forM fun a => do
if a > max then throw "illegal value found in list"
#eval validateList [1, 2, 5, 3, 8] 10 -- Except.ok ()
#eval validateList [1, 2, 5, 3, 8] 5 -- Except.error "illegal value found in list"
/-!
Notice here that the `List.forM` function passes the monadic context through to the inner function
so it can use the `throw` function from the `Except` monad.
The `List.forM` function is defined like this where `[Monad m]` means "in the context of a monad `m`":
-/
def forM [Monad m] (as : List α) (f : α m PUnit) : m PUnit :=
match as with
| [] => pure
| a :: as => do f a; List.forM as f
/-!
## Summary
Now that you know all these different monad constructs, you might be wondering how you can combine
them. What if there was some part of your state that you wanted to be able to modify (using the
State monad), but you also needed exception handling. How can you get multiple monadic capabilities
in the same function. To learn the answer, head to [Monad Transformers](transformers.lean.md).
-/

View File

@@ -1,227 +0,0 @@
/-!
# Functor
A `Functor` is any type that can act as a generic container that allows you to transform the
underlying values inside the container using a function, so that the values are all updated, but the
structure of the container is the same. This is called "mapping".
A List is one of the most basic examples of a `Functor`.
A list contains zero or more elements of the same, underlying type. When you `map` a function over
a list, you create a new list with the same number of elements, where each has been transformed by
the function:
-/
#eval List.map (λ x => toString x) [1,2,3] -- ["1", "2", "3"]
-- you can also write this using dot notation on the List object
#eval [1,2,3].map (λ x => toString x) -- ["1", "2", "3"]
/-!
Here we converted a list of natural numbers (Nat) to a list of strings where the lambda function
here used `toString` to do the transformation of each element. Notice that when you apply `map` the
"structure" of the object remains the same, in this case the result is always a `List` of the same
size.
Note that in Lean a lambda function can be written using `fun` keyword or the unicode
symbol `λ` which you can type in VS code using `\la `.
List has a specialized version of `map` defined as follows:
-/
def map (f : α β) : List α List β
| [] => []
| a::as => f a :: map f as
/-!
This is a very generic `map` function that can take any function that converts `(α → β)` and use it
to convert `List α → List β`. Notice the function call `f a` above, this application of `f` is
producing the converted items for the new list.
Let's look at some more examples:
-/
-- List String → List Nat
#eval ["elephant", "tiger", "giraffe"].map (fun s => s.length)
-- [8, 5, 7]
-- List Nat → List Float
#eval [1,2,3,4,5].map (fun s => (s.toFloat) ^ 3.0)
-- [1.000000, 8.000000, 27.000000, 64.000000, 125.000000]
--- List String → List String
#eval ["chris", "david", "mark"].map (fun s => s.capitalize)
-- ["Chris", "David", "Mark"]
/-!
Another example of a functor is the `Option` type. Option contains a value or nothing and is handy
for code that has to deal with optional values, like optional command line arguments.
Remember you can construct an Option using the type constructors `some` or `none`:
-/
#check some 5 -- Option Nat
#eval some 5 -- some 5
#eval (some 5).map (fun x => x + 1) -- some 6
#eval (some 5).map (fun x => toString x) -- some "5"
/-!
Lean also provides a convenient short hand syntax for `(fun x => x + 1)`, namely `(· + 1)`
using the middle dot unicode character which you can type in VS code using `\. `.
-/
#eval (some 4).map (· * 5) -- some 20
/-!
The `map` function preserves the `none` state of the Option, so again
map preserves the structure of the object.
-/
def x : Option Nat := none
#eval x.map (fun x => toString x) -- none
#check x.map (fun x => toString x) -- Option String
/-!
Notice that even in the `none` case it has transformed `Option Nat` into `Option String` as
you see in the `#check` command.
## How to make a Functor Instance?
The `List` type is made an official `Functor` by the following type class instance:
-/
instance : Functor List where
map := List.map
/-!
Notice all you need to do is provide the `map` function implementation. For a quick
example, let's supposed you create a new type describing the measurements of a home
or apartment:
-/
structure LivingSpace (α : Type) where
totalSize : α
numBedrooms : Nat
masterBedroomSize : α
livingRoomSize : α
kitchenSize : α
deriving Repr, BEq
/-!
Now you can construct a `LivingSpace` in square feet using floating point values:
-/
abbrev SquareFeet := Float
def mySpace : LivingSpace SquareFeet :=
{ totalSize := 1800, numBedrooms := 4, masterBedroomSize := 500,
livingRoomSize := 900, kitchenSize := 400 }
/-!
Now, suppose you want anyone to be able to map a `LivingSpace` from one type of measurement unit to
another. Then you would provide a `Functor` instance as follows:
-/
def LivingSpace.map (f : α β) (s : LivingSpace α) : LivingSpace β :=
{ totalSize := f s.totalSize
numBedrooms := s.numBedrooms
masterBedroomSize := f s.masterBedroomSize
livingRoomSize := f s.livingRoomSize
kitchenSize := f s.kitchenSize }
instance : Functor LivingSpace where
map := LivingSpace.map
/-!
Notice this functor instance takes `LivingSpace` and not the fully qualified type `LivingSpace SquareFeet`.
Notice below that `LivingSpace` is a function from Type to Type. For example, if you give it type `SquareFeet`
it gives you back the fully qualified type `LivingSpace SquareFeet`.
-/
#check LivingSpace -- Type → Type
/-!
So the `instance : Functor` then is operating on the more abstract, or generic `LivingSpace` saying
for the whole family of types `LivingSpace α` you can map to `LivingSpace β` using the generic
`LivingSpace.map` map function by simply providing a function that does the more primitive mapping
from `(f : α → β)`. So `LivingSpace.map` is a sort of function applicator.
This is called a "higher order function" because it takes a function as input
`(α → β)` and returns another function as output `F α → F β`.
Notice that `LivingSpace.map` applies a function `f` to convert the units of all the LivingSpace
fields, except for `numBedrooms` which is a count (and therefore is not a measurement that needs
converting).
So now you can define a simple conversion function, let's say you want square meters instead:
-/
abbrev SquareMeters := Float
def squareFeetToMeters (ft : SquareFeet ) : SquareMeters := (ft / 10.7639104)
/-!
and now bringing it all together you can use the simple function `squareFeetToMeters` to map
`mySpace` to square meters:
-/
#eval mySpace.map squareFeetToMeters
/-
{ totalSize := 167.225472,
numBedrooms := 4,
masterBedroomSize := 46.451520,
livingRoomSize := 83.612736,
kitchenSize := 37.161216 }
-/
/-!
Lean also defines custom infix operator `<$>` for `Functor.map` which allows you to write this:
-/
#eval (fun s => s.length) <$> ["elephant", "tiger", "giraffe"] -- [8, 5, 7]
#eval (fun x => x + 1) <$> (some 5) -- some 6
/-!
Note that the infix operator is left associative which means it binds more tightly to the
function on the left than to the expression on the right, this means you can often drop the
parentheses on the right like this:
-/
#eval (fun x => x + 1) <$> some 5 -- some 6
/-!
Note that Lean lets you define your own syntax, so `<$>` is nothing special.
You can define your own infix operator like this:
-/
infixr:100 " doodle " => Functor.map
#eval (· * 5) doodle [1, 2, 3] -- [5, 10, 15]
/-!
Wow, this is pretty powerful. By providing a functor instance on `LivingSpace` with an
implementation of the `map` function it is now super easy for anyone to come along and
transform the units of a `LivingSpace` using very simple functions like `squareFeetToMeters`. Notice
that squareFeetToMeters knows nothing about `LivingSpace`.
## How do Functors help with Monads ?
Functors are an abstract mathematical structure that is represented in Lean with a type class. The
Lean functor defines both `map` and a special case for working on constants more efficiently called
`mapConst`:
```lean
class Functor (f : Type u → Type v) : Type (max (u+1) v) where
map : {α β : Type u} → (α → β) → f α → f β
mapConst : {α β : Type u} → α → f β → f α
```
Note that `mapConst` has a default implementation, namely:
`mapConst : {α β : Type u} → α → f β → f α := Function.comp map (Function.const _)` in the `Functor`
type class. So you can use this default implementation and you only need to replace it if
your functor has a more specialized variant than this (usually the custom version is more performant).
In general then, a functor is a function on types `F : Type u → Type v` equipped with an operator
called `map` such that if you have a function `f` of type `α → β` then `map f` will convert your
container type from `F α → F β`. This corresponds to the category-theory notion of
[functor](https://en.wikipedia.org/wiki/Functor) in the special case where the category is the
category of types and functions between them.
Understanding abstract mathematical structures is a little tricky for most people. So it helps to
start with a simpler idea like functors before you try to understand monads. Building on
functors is the next abstraction called [Applicatives](applicatives.lean.md).
-/

View File

@@ -1,63 +0,0 @@
# Monads
Monads are used heavily in Lean, as they are also in Haskell. Monads come from the wonderful world
of [Category Theory](https://en.wikipedia.org/wiki/Monad_%28category_theory%29).
Monads in Lean are so similar to Haskell that this introduction to monads is heavily based on the
similar chapter of the [Monday Morning Haskell](https://mmhaskell.com/monads/). Many thanks to
the authors of that material for allowing us to reuse it here.
Monads build on the following fundamental type classes which you will need to understand
first before fully understanding monads. Shown in light blue are some concrete functors
and monads that will also be covered in this chapter:
![image](../images/monads.svg)
This chapter is organized to give you a bottom up introduction to monads, starting with functors and
applicative functors, you'll get an intuition for how these abstract structures work in Lean. Then
you'll dive into monads and learn how to use some of the most useful built-in ones.
## [Functor](functors.lean.md)
A functor is a type class that provides a map function and the map function is something many
people are already familiar with so this should be easy to follow. Here you will see some
concrete examples in action with `List` and `Option`.
## [Applicative Functors](applicatives.lean.md)
Applicatives are a little more difficult to understand than functors, but their functionality can
still be summed up in a couple simple functions. Here you will learn how to create an
`Applicative List` and a completely custom `Applicative` type.
## [Monads Tutorial](monads.lean.md)
Now that you have an intuition for how abstract structures work, you'll examine some of the problems
that functors and applicative functors don't help you solve. Then you'll learn the specifics of how
to actually use monads with some examples using the `Option` monad and the all important `IO` monad.
## [Reader Monad](readers.lean.md)
Now that you understand the details of what makes a monadic structure work, in this section, you'll
learn about one of the most useful built in monads `ReaderM`, which gives your programs a
global read-only context.
## [State Monad](states.lean.md)
This section introduces the `StateM` monad. This monad allows you to access a particular type that you can
both read from and write to. It opens the door to fully stateful programming, allowing you to do many
of the things a function programming language supposedly "can't" do.
## [Except Monad](except.lean.md)
Similar to the `Option` monad the `Except` monad allows you to change the signature of a function so
that it can return an `ok` value or an `error` and it provides the classic exception handling
operations `throw/try/catch` so that your programs can do monad-based exception handling.
## [Monad Transformers](transformers.lean.md)
Now that you are familiar with all the above monads it is time to answer the question - how you can
make them work together? After all, there are definitely times when you need multiple kinds of
monadic behavior. This section introduces the concept of monad transformers, which allow you to
combine multiple monads into one.
## [Monad Laws](laws.lean.md)
This section examines what makes a monad a legal monad. You could just implement your monadic type
classes any way you want and write "monad" instances, but starting back with functors and
applicative functors, you'll learn that all these structures have "laws" that they are expected to
obey with respect to their behavior. You can make instances that don't follow these laws. But you do
so at your peril, as other programmers will be very confused when they try to use them.

View File

@@ -1,322 +0,0 @@
/-!
# Monad Laws
In the previous sections you learned how to use [Functors](functors.lean.md),
[Applicatives](applicatives.lean.md), and [Monads](monads.lean.md), and you played with some useful
instances including [Option](monads.lean.md), [IO](monads.lean.md), [Reader](readers.lean.md),
[State](states.lean.md) and [Except](except.lean.md) and you learned about composition using [Monad
Transformers](transformers.lean.md).
So far, you've learned the concrete details you need in order to _use_ monads in your Lean programs.
But there's still one more important concept you need if you want to _create_ new functors,
applicatives and monads. Namely, the notion of _structural "laws"_ -- rules that these type
classes should follow in order to meet other programmers' expectations about your code.
## Life without Laws
Remember Lean represents each of these abstract structures by a type class. Each of these type classes
has one or two main functions. So, as long as you implement those functions and it type checks, you
have a new functor, applicative, or monad, right?
Well not quite. Yes, your program will compile and you'll be able to use the instances. But this
doesn't mean your instances follow the mathematical constructs. If they don't, your instances won't
fulfill other programmers' expectations. Each type class has its own "laws". For instance, suppose
you have the following Point Functor:
-/
structure Point (α : Type) where
x : α
y : α
deriving Repr, BEq
def Point.map (f : α β) (s : Point α) : Point β :=
{ x := f s.y, -- an example of something weird
y := f s.x }
instance : Functor Point where
map := Point.map
#eval (·+2) <$> (Point.mk 1 2) -- { x := 4, y := 3 }
/-!
This Point does something weird, when you `map` it because it transposes the `x` and `y` coordinates
which is not what other people would expect from a `map` function. In fact, it breaks the rules
as you will see below.
## What are the Functor laws?
Functors have two laws: the _identity_ law, and the _composition_ law. These laws express behaviors that
your functor instances should follow. If they don't, other programmers will be very confused at the
effect your instances have on their program.
The identity law says that if you "map" the identity function (`id`) over your functor, the
resulting functor should be the same. A succinct way of showing this on a `List` functor is:
-/
def list1 := [1,2,3]
#eval id <$> list1 == list1 -- true
/-!
Now let's try the same test on the `Point` functor:
-/
def p1 : Point Nat := (Point.mk 1 2)
#eval id <$> p1 == p1 -- false
/-!
Oh, and look while the `List` is behaving well, the `Point` functor fails this identity test.
The _composition_ law says that if you "map" two functions in succession over a functor, this
should be the same as "composing" the functions and simply mapping that one super-function over the
functor. In Lean you can compose two functions using `Function.comp f g` (or the syntax `f ∘ g`,
which you can type in VS code using `\o `) and you will get the same results from both of these
showing that the composition law holds for `List Nat`:
-/
def double (x : Nat) := x + x
def square (x : Nat) := x * x
#eval double <$> (square <$> list1) -- [2, 8, 18]
#eval (double <$> (square <$> list1)) == ((double square) <$> list1) -- true
-- ok, what about the Point class?
#eval double <$> (square <$> p1) -- { x := 2, y := 8 }
#eval (double square) <$> p1 -- { x := 8, y := 2 }
#eval double <$> (square <$> p1) == (double square) <$> p1 -- false
/-!
Note that composition also fails on the bad `Point` because the x/y transpose.
As you can see this bad `Point` implementation violates both of the functor laws. In this case it
would not be a true functor. Its behavior would confuse any other programmers trying to use it. You
should take care to make sure that your instances make sense. Once you get a feel for these type
classes, the likelihood is that the instances you'll create will follow the laws.
You can also write a bad functor that passes one law but not the other like this:
-/
def bad_option_map {α β : Type u} : (α β) Option α Option β
| _, _ => none
instance : Functor Option where
map := bad_option_map
def t1 : Option Nat := some 10
#eval id <$> t1 == t1 -- false
#eval double <$> (square <$> t1) == (double square) <$> t1 -- true
/-!
This fails the id law but obeys the composition law. Hopefully this explains the value of these
laws, and you don't need to see any more bad examples!
## What are the Applicative Laws?
While functors have two laws, applicatives have four laws:
- Identity
- Homomorphism
- Interchange
- Composition
### Identity
`pure id <*> v = v`
Applying the identity function through an applicative structure should not change the underlying
values or structure. For example:
-/
instance : Applicative List where
pure := List.pure
seq f x := List.bind f fun y => Functor.map y (x ())
#eval pure id <*> [1, 2, 3] -- [1, 2, 3]
/-!
The `pure id` statement here is wrapping the identity function in an applicative structure
so that you can apply that over the container `[1, 2, 3]` using the Applicative `seq` operation
which has the notation `<*>`.
To prove this for all values `v` and any applicative `m` you can write this theorem:
-/
example [Applicative m] [LawfulApplicative m] (v : m α) :
pure id <*> v = v :=
by simp -- Goals accomplished 🎉
/-!
### Homomorphism
`pure f <*> pure x = pure (f x)`
Suppose you wrap a function and an object in `pure`. You can then apply the wrapped function over the
wrapped object. Of course, you could also apply the normal function over the normal object, and then
wrap it in `pure`. The homomorphism law states these results should be the same.
For example:
-/
def x := 1
def f := (· + 2)
#eval pure f <*> pure x = (pure (f x) : List Nat) -- true
/-!
You should see a distinct pattern here. The overriding theme of almost all these laws is that these
`Applicative` types should behave like normal containers. The `Applicative` functions should not
have any side effects. All they should do is facilitate the wrapping, unwrapping, and transformation
of data contained in the container resulting in a new container that has the same structure.
### Interchange
`u <*> pure y = pure (. y) <*> u`.
This law is is a little more complicated, so don't sweat it too much. It states that the order that
you wrap things shouldn't matter. One the left, you apply any applicative `u` over a pure wrapped
object. On the right, you first wrap a function applying the object as an argument. Note that `(·
y)` is short hand for: `fun f => f y`. Then you apply this to the first applicative `u`. These
should be the same.
For example:
-/
def y := 4
def g : List (Nat Nat) := [(· + 2)]
#eval g <*> pure y = pure (· y) <*> g -- true
/-!
You can prove this with the following theorem:
-/
example [Applicative m] [LawfulApplicative m] (u : m (α β)) (y : α) :
u <*> pure y = pure (· y) <*> u :=
by simp [pure_seq] -- Goals accomplished 🎉
/-!
### Composition:
`u <*> v <*> w = u <*> (v <*> w)`
This final applicative law mimics the second functor law. It is a composition law. It states that
function composition holds across applications within the applicative:
For example:
-/
def u := [1, 2]
def v := [3, 4]
def w := [5, 6]
#eval pure (·+·+·) <*> u <*> v <*> w
-- [9, 10, 10, 11, 10, 11, 11, 12]
#eval let grouping := pure (·+·) <*> v <*> w
pure (·+·) <*> u <*> grouping
-- [9, 10, 10, 11, 10, 11, 11, 12]
/-!
To test composition you see the separate grouping `(v <*> w)` then that can be used in the outer
sequence `u <*> grouping` to get the same final result `[9, 10, 10, 11, 10, 11, 11, 12]`.
## What are the Monad Laws?
Monads have three laws:
- Left Identity
- Right Identity
- Associativity
### Left Identity
Identity laws for monads specify that `pure` by itself shouldn't really change anything about the
structure or its values.
Left identity is `x >>= pure = x` and is demonstrated by the following examples on a monadic `List`:
-/
instance : Monad List where
pure := List.pure
bind := List.bind
def a := ["apple", "orange"]
#eval a >>= pure -- ["apple", "orange"]
#eval a >>= pure = a -- true
/-!
### Right Identity
Right identity is `pure x >>= f = f x` and is demonstrated by the following example:
-/
def h (x : Nat) : Option Nat := some (x + 1)
def z := 5
#eval pure z >>= h -- some 6
#eval h z -- some 6
#eval pure z >>= h = h z -- true
/-!
So in this example, with this specific `z` and `h`, you see that the rule holds true.
### Associativity
The associativity law is written as:
```lean,ignore
x >>= f >>= g = x >>= (λ x => f x >>= g)
```
where `(x : m α)` and `(f : α → m β)` and `(g : β → m γ)`.
The associativity law is difficult to parse like some of the applicative laws, but what it is saying
is that if you change the grouping of `bind` operations, you should still get the same result.
This law has a parallel structure to the other composition laws.
You can see this in action in the following rewrite of `runOptionFuncsBind` from [monads](monads.lean.md):
-/
def optionFunc1 : String -> Option Nat
| "" => none
| str => some str.length
def optionFunc2 (i : Nat) : Option Float :=
if i % 2 == 0 then none else some (i.toFloat * 3.14159)
def optionFunc3 (f : Float) : Option (List Nat) :=
if f > 15.0 then none else some [f.floor.toUInt32.toNat, f.ceil.toUInt32.toNat]
def runOptionFuncsBind (input : String) : Option (List Nat) :=
optionFunc1 input >>= optionFunc2 >>= optionFunc3
def runOptionFuncsBindGrouped (input : String) : Option (List Nat) :=
optionFunc1 input >>= (λ x => optionFunc2 x >>= optionFunc3)
#eval runOptionFuncsBind "big" -- some [9, 10]
#eval runOptionFuncsBindGrouped "big" -- some [9, 10]
/-!
Notice here we had to insert a `λ` function just like the definition says: `(λ x => f x >>= g)`.
This is because unlike applicatives, you can't resolve the structure of later operations without the
results of earlier operations quite as well because of the extra context monads provide. But you can
still group their later operations into composite functions taking their inputs from earlier on, and
the result should be the same.
## Summary
While these laws may be a bit difficult to understand just by looking at them, the good news is that
most of the instances you'll make will naturally follow the laws so long as you keep it simple, so
you shouldn't have to worry about them too much.
There are two main ideas from all the laws:
1. Applying the identity or pure function should not change the underlying values or structure.
1. It should not matter what order you group operations in. Another way to state this is function
composition should hold across your structures.
Following these laws will ensure other programmers are not confused by the behavior of your
new functors, applicatives and monads.
-/

View File

@@ -1,300 +0,0 @@
/-!
# Monads
Building on [Functors](functors.lean.md) and [Applicatives](applicatives.lean.md) we can now
introduce [monads](https://en.wikipedia.org/wiki/Monad_%28category_theory%29).
A monad is another type of abstract, functional structure. Let's explore what makes it different
from the first two structures.
## What is a Monad?
A monad is a computational context. It provides a structure that allows you to chain together
operations that have some kind of shared state or similar effect. Whereas pure functional code can
only operate on explicit input parameters and affect the program through explicit return values,
operations in a monad can affect other computations in the chain implicitly through side effects,
especially modification of an implicitly shared value.
## How are monads represented in Lean?
Like functors and applicatives, monads are represented with a type class in Lean:
```lean,ignore
class Monad (m : Type u → Type v) extends Applicative m, Bind m where
```
Just as every applicative is a functor, every monad is also an applicative and there's one more new
base type class used here that you need to understand, namely, `Bind`.
```lean,ignore
class Bind (f : Type u → Type v) where
bind : {α β : Type u} → f α → (α → f β) → f β
```
The `bind` operator also has infix notation `>>=` where `x >>= g` represents the result of executing
`x` to get a value of type `f α` then unwrapping the value `α` from that and passing it to function
`g` of type `α → f β` returning the result of type `f β` where `f` is the target structure type
(like `Option` or List)
This `bind` operation looks similar to the other ones you've seen so far, if you put them all
together `Monad` has the following operations:
```lean,ignore
class Monad (f : Type u → Type v) extends Applicative f, Bind f where
pure {α : Type u} : α → f α
map : {α β : Type u} → (α → β) → f α → f β
seq : {α β : Type u} → f (α → β) → (Unit → f α) → f β
bind : {α β : Type u} → f α → (α → f β) → f β
...
```
Notice `Monad` also contains `pure` it must also have a "default" way to wrap a value in the
structure.
The `bind` operator is similar to the applicative `seq` operator in that it chains two operations,
with one of them being function related. Notice that `bind`, `seq` and `map` all take a function of
some kind. Let's examine those function types:
- map: `(α → β)`
- seq: `f (α → β)`
- bind: `(α → f β)`
So `map` is a pure function, `seq` is a pure function wrapped in the structure, and `bind` takes a
pure input but produces an output wrapped in the structure.
Note: we are ignoring the `(Unit → f α)` function used by `seq` here since that has a special
purpose explained in [Applicatives Lazy Evaluation](applicatives.lean.md#lazy-evaluation).
## Basic Monad Example
Just as `Option` is a functor and an applicative functor, it is also a monad! Let's start with how
`Option` implements the Monad type class.
-/
instance : Monad Option where
pure := Option.some
bind := Option.bind
/-!
where:
```lean,ignore
def Option.bind : Option α → (α → Option β) → Option β
| none, _ => none
| some a, f => f a
```
> **Side note**: this function definition is using a special shorthand syntax in Lean where the `:=
match a, b with` code can be collapsed away. To make this more clear consider the following simpler
example, where `Option.bind` is using the second form like `bar`:
-/
def foo (x : Option Nat) (y : Nat) : Option Nat :=
match x, y with
| none, _ => none
| some x, y => some (x + y)
def bar : Option Nat Nat Option Nat
| none, _ => none
| some x, y => some (x + y)
#eval foo (some 1) 2 -- some 3
#eval bar (some 1) 2 -- some 3
/-!
What is important is that `Option.bind` is using a `match` statement to unwrap the input value
`Option α`, if it is `none` then it does nothing and returns `none`, if it has a value of type `α`
then it applies the function in the second argument `(α → Option β)` to this value, which is
the expression `f a` that you see in the line ` | some a, f => f a` above. The function
returns a result of type `Option β` which then becomes the return value for `bind`. So there
is no structure wrapping required on the return value since the input function already did that.
But let's bring in the definition of a monad. What does it mean to describe `Option` as a
computational context?
The `Option` monad encapsulates the context of failure. Essentially, the `Option` monad lets us
abort a series of operations whenever one of them fails. This allows future operations to assume
that all previous operations have succeeded. Here's some code to motivate this idea:
-/
def optionFunc1 : String -> Option Nat
| "" => none
| str => some str.length
def optionFunc2 (i : Nat) : Option Float :=
if i % 2 == 0 then none else some (i.toFloat * 3.14159)
def optionFunc3 (f : Float) : Option (List Nat) :=
if f > 15.0 then none else some [f.floor.toUInt32.toNat, f.ceil.toUInt32.toNat]
def runOptionFuncs (input : String) : Option (List Nat) :=
match optionFunc1 input with
| none => none
| some i => match optionFunc2 i with
| none => none
| some f => optionFunc3 f
#eval runOptionFuncs "big" -- some [9, 10]
/-!
Here you see three different functions that could fail. These are then combined in `runOptionFuncs`.
But then you have to use nested `match` expressions to check if the previous result succeeded. It
would be very tedious to continue this pattern much longer.
The `Option` monad helps you fix this. Here's what this function looks like using the `bind`
operator.
-/
def runOptionFuncsBind (input : String) : Option (List Nat) :=
optionFunc1 input >>= optionFunc2 >>= optionFunc3
#eval runOptionFuncsBind "big" -- some [9, 10]
/-!
It's much cleaner now! You take the first result and pass it into the second and third functions
using the `bind` operation. The monad instance handles all the failure cases so you don't have to!
Let's see why the types work out. The result of `optionFunc1` input is simply `Option Nat`. Then the
bind operator allows you to take this `Option Nat` value and combine it with `optionFunc2`, whose type
is `Nat → Option Float` The **bind operator resolves** these to an `Option Float`. Then you pass this
similarly through the bind operator to `optionFunc3`, resulting in the final type, `Option (List Nat)`.
Your functions will not always combine so cleanly though. This is where `do` notation comes into play.
This notation allows you to write monadic operations one after another, line-by-line. It almost makes
your code look like imperative programming. You can rewrite the above as:
-/
def runOptionFuncsDo (input : String) : Option (List Nat) := do
let i optionFunc1 input
let f optionFunc2 i
optionFunc3 f
#eval runOptionFuncsDo "big" -- some [9, 10]
/-!
The `←` operator used here is special. It effectively unwraps the value on the right-hand side from
the monad. This means the value `i` has type `Nat`, _even though_ the result of `optionFunc1` is
`Option Nat`. This is done using a `bind` operation under the hood.
> Note you can use `<-` or the nice unicode symbol `←` which you can type into VS code by typing
these characters `\l `. When you type the final space, `\l` is replaced with `←`.
Observe that we do not unwrap the final line of the computation. The function result is `Option
(List Nat)` which matches what `optionFunc3` returns. At first glance, this may look more complicated
than the `bind` example. However, it gives you a lot more flexibility, like mixing monadic and
non-monadic statements, using if then/else structures with their own local do blocks and so on. It
is particularly helpful when one monadic function depends on multiple previous functions.
## Example using List
You can easily make `List` into a monad with the following, since List already provides an
implementation of `pure` and `bind`.
-/
instance : Monad List where
pure := List.pure
bind := List.bind
/-!
Like you saw with the applicative `seq` operator, the `bind` operator applies the given function
to every element of the list. It is useful to look at the bind implementation for List:
-/
open List
def bind (a : List α) (b : α List β) : List β := join (map b a)
/-!
So `Functor.map` is used to apply the function `b` to every element of `a` but this would
return a whole bunch of little lists, so `join` is used to turn those back into a single list.
Here's an example where you use `bind` to convert a list of strings into a combined list of chars:
-/
#eval "apple".toList -- ['a', 'p', 'p', 'l', 'e']
#eval ["apple", "orange"] >>= String.toList
-- ['a', 'p', 'p', 'l', 'e', 'o', 'r', 'a', 'n', 'g', 'e']
/-!
## The IO Monad
The `IO Monad` is perhaps the most important monad in Lean. It is also one of the hardest monads to
understand starting out. Its actual implementation is too intricate to discuss when first learning
monads. So it is best to learn by example.
What is the **computational context** that describes the IO monad? IO operations can read
information from or write information to the terminal, file system, operating system, and/or
network. They interact with systems outside of your program. If you want to get user input, print a
message to the user, read information from a file, or make a network call, you'll need to do so
within the IO Monad.
The state of the world outside your program can change at virtually any moment, and so this IO
context is particularly special. So these IO operations are "side effects" which means you cannot
perform them from "pure" Lean functions.
Now, the most important job of pretty much any computer program is precisely to perform this
interaction with the outside world. For this reason, the root of all executable Lean code is a
function called main, with the type `IO Unit`. So every program starts in the IO monad!
When your function is `IO` monadic, you can get any input you need, call into "pure" code with the
inputs, and then output the result in some way. The reverse does not work. You cannot call into IO
code from pure code like you can call into a function that takes `Option` as input. Another way to
say this is you cannot invent an `IO` context out of thin air, it has to be given to you in your
`main` function.
Let's look at a simple program showing a few of the basic IO functions. It also uses `do` notation
to make the code read nicely:
-/
def main : IO Unit := do
IO.println "enter a line of text:"
let stdin IO.getStdin -- IO IO.FS.Stream (monadic)
let input stdin.getLine -- IO.FS.Stream → IO String (monadic)
let uppercased := input.toUpper -- String → String (pure)
IO.println uppercased -- IO Unit (monadic)
/-!
So, once again you can see that the `do` notation lets you chain a series of monadic actions.
`IO.getStdin` is of type `IO IO.FS.Stream` and `stdin.getLine` is of type `IO String`
and `IO.println` is of type `IO Unit`.
In between you see a non-monadic expression `let uppercased := input.toUpper` which is fine too.
A let statement can occur in any monad. Just as you could unwrap `i` from `Option Nat` to get the
inner Nat, you can use `←` to unwrap the result of `getLine` to get a String. You can then manipulate
this value using normal pure string functions like `toUpper`, and then you can pass the result to the
`IO.println` function.
This is a simple echo program. It reads a line from the terminal, and then prints the line back out
capitalized to the terminal. Hopefully it gives you a basic understanding of how IO works.
You can test this program using `lean --run` as follows:
```
> lean --run Main.lean
enter a line of text:
the quick brown fox
THE QUICK BROWN FOX
```
Here the user entered the string `the quick brown fox` and got back the uppercase result.
## What separates Monads from Applicatives?
The key that separates these is **context**. You cannot really determine the structure of
"future" operations without knowing the results of "past" operations, because the past can alter the
context in which the future operations work. With applicatives, you can't get the final function
result without evaluating everything, but you can determine the structure of how the operation will
take place. This allows some degree of parallelism with applicatives that is not generally possible
with monads.
## Conclusion
Hopefully you now have a basic level understanding of what a monad is. But perhaps some more
examples of what a "computational context" means would be useful to you. The Reader, State and
Except monads each provide a concrete and easily understood context that can be compared easily to
function parameters. You can learn more about those in [Reader monads](readers.lean.md),
[State monads](states.lean.md), and the [Except monad](except.lean.md).
-/

View File

@@ -1,199 +0,0 @@
/-!
# Readers
In the [previous section](monads.lean.md) you learned about the conceptual idea of monads. You learned
what they are, and saw how some common types like `IO` and `Option` work as monads. Now in this
section, you will be looking at some other useful monads. In particular, the `ReaderM` monad.
## How to do Global Variables in Lean?
In Lean, your code is generally "pure", meaning functions can only interact with the arguments
passed to them. This effectively means you cannot have global variables. You can have global
definitions, but these are fixed at compile time. If some user behavior might change them, you would have
to wrap them in the `IO` monad, which means they can't be used from pure code.
Consider this example. Here, you want to have an `Environment` containing different parameters as a
global variable. However, you want to load these parameters from the process environment variables,
which requires the `IO` monad.
-/
structure Environment where
path : String
home : String
user : String
deriving Repr
def getEnvDefault (name : String): IO String := do
let val? IO.getEnv name
pure <| match val? with
| none => ""
| some s => s
def loadEnv : IO Environment := do
let path getEnvDefault "PATH"
let home getEnvDefault "HOME"
let user getEnvDefault "USER"
pure { path, home, user }
def func1 (e : Environment) : Float :=
let l1 := e.path.length
let l2 := e.home.length * 2
let l3 := e.user.length * 3
(l1 + l2 + l3).toFloat * 2.1
def func2 (env : Environment) : Nat :=
2 + (func1 env).floor.toUInt32.toNat
def func3 (env : Environment) : String :=
"Result: " ++ (toString (func2 env))
def main : IO Unit := do
let env loadEnv
let str := func3 env
IO.println str
#eval main -- Result: 7538
/-!
The only function actually using the environment is func1. However func1 is a pure function. This
means it cannot directly call loadEnv, an impure function in the IO monad. This means the
environment has to be passed through as a variable to the other functions, just so they can
ultimately pass it to func1. In a language with global variables, you could save env as a global
value in main. Then func1 could access it directly. There would be no need to have it as a parameter
to func1, func2 and func3. In larger programs, these "pass-through" variables can cause a lot of
headaches.
## The Reader Solution
The `ReaderM` monad solves this problem. It effectively creates a global read-only value of a
specified type. All functions within the monad can "read" the type. Let's look at how the `ReaderM`
monad changes the shape of this code. Now the functions **no longer need** to be given the
`Environment` as an explicit parameter, as they can access it through the monad.
-/
def readerFunc1 : ReaderM Environment Float := do
let env read
let l1 := env.path.length
let l2 := env.home.length * 2
let l3 := env.user.length * 3
return (l1 + l2 + l3).toFloat * 2.1
def readerFunc2 : ReaderM Environment Nat :=
readerFunc1 >>= (fun x => return 2 + (x.floor.toUInt32.toNat))
def readerFunc3 : ReaderM Environment String := do
let x readerFunc2
return "Result: " ++ toString x
def main2 : IO Unit := do
let env loadEnv
let str := readerFunc3.run env
IO.println str
#eval main2 -- Result: 7538
/-!
The `ReaderM` monad provides a `run` method and it is the `ReaderM` run method that takes the initial
`Environment` context. So here you see `main2` loads the environment as before, and establishes
the `ReaderM` context by passing `env` to the `run` method.
> **Side note 1**: The `return` statement used above also needs some explanation. The `return`
statement in Lean is closely related to `pure`, but a little different. First the similarity is that
`return` and `pure` both lift a pure value up to the Monad type. But `return` is a keyword so you do
not need to parenthesize the expression like you do when using `pure`. (Note: you can avoid
parentheses when using `pure` by using the `<|` operator like we did above in the initial
`getEnvDefault` function). Furthermore, `return` can also cause an early `return` in a monadic
function similar to how it can in an imperative language while `pure` cannot.
> So technically if `return` is the last statement in a function it could be replaced with `pure <|`,
but one could argue that `return` is still a little easier for most folks to read, just so long as
you understand that `return` is doing more than other languages, it is also wrapping pure values in
the monadic container type.
> **Side note 2**: If the function `readerFunc3` also took some explicit arguments then you would have
to write `(readerFunc3 args).run env` and this is a bit ugly, so Lean provides an infix operator
`|>` that eliminates those parentheses so you can write `readerFunc3 args |>.run env` and then you can
chain multiple monadic actions like this `m1 args1 |>.run args2 |>.run args3` and this is the
recommended style. You will see this pattern used heavily in Lean code.
The `let env ← read` expression in `readerFunc1` unwraps the environment from the `ReaderM` so we
can use it. Each type of monad might provide one or more extra functions like this, functions that
become available only when you are in the context of that monad.
Here the `readerFunc2` function uses the `bind` operator `>>=` just to show you that there are bind
operations happening here. The `readerFunc3` function uses the `do` notation you learned about in
[Monads](monads.lean.md) which hides that bind operation and can make the code look cleaner.
So the expression `let x ← readerFunc2` is also calling the `bind` function under the covers,
so that you can access the unwrapped value `x` needed for the `toString x` conversion.
The important difference here to the earlier code is that `readerFunc3` and `readerFunc2` no longer
have an **explicit** Environment input parameter that needs to be passed along all the way to
`readerFunc1`. Instead, the `ReaderM` monad is taking care of that for you, which gives you the
illusion of something like global context where the context is now available to all functions that use
the `ReaderM` monad.
The above code also introduces an important idea. Whenever you learn about a monad "X", there's
often (but not always) a `run` function to execute that monad, and sometimes some additional
functions like `read` that interact with the monad context.
You might be wondering, how does the context actually move through the `ReaderM` monad? How can you
add an input argument to a function by modifying its return type? There is a special command in
Lean that will show you the reduced types:
-/
#reduce ReaderM Environment String -- Environment → String
/-!
And you can see here that this type is actually a function! It's a function that takes an
`Environment` as input and returns a `String`.
Now, remember in Lean that a function that takes an argument of type `Nat` and returns a `String`
like `def f (a : Nat) : String` is the same as this function `def f : Nat → String`. These are
exactly equal as types. Well this is being used by the `ReaderM` Monad to add an input argument to
all the functions that use the `ReaderM` monad and this is why `main` is able to start things off by
simply passing that new input argument in `readerFunc3.run env`. So now that you know the implementation
details of the `ReaderM` monad you can see that what it is doing looks very much like the original
code we wrote at the beginning of this section, only it's taking a lot of the tedious work off your
plate and it is creating a nice clean separation between what your pure functions are doing, and the
global context idea that the `ReaderM` adds.
## withReader
One `ReaderM` function can call another with a modified version of the `ReaderM` context. You can
use the `withReader` function from the `MonadWithReader` type class to do this:
-/
def readerFunc3WithReader : ReaderM Environment String := do
let x withReader (λ env => { env with user := "new user" }) readerFunc2
return "Result: " ++ toString x
/-!
Here we changed the `user` in the `Environment` context to "new user" and then we passed that
modified context to `readerFunc2`.
So `withReader f m` executes monad `m` in the `ReaderM` context modified by `f`.
## Handy shortcut with (← e)
If you use the operator `←` in a let expression and the variable is only used once you can
eliminate the let expression and place the `←` operator in parentheses like this
call to loadEnv:
-/
def main3 : IO Unit := do
let str := readerFunc3 ( loadEnv)
IO.println str
/-!
## Conclusion
It might not seem like much has been accomplished with this `ReaderM Environment` monad, but you will
find that in larger code bases, with many different types of monads all composed together this
greatly cleans up the code. Monads provide a beautiful functional way of managing cross-cutting
concerns that would otherwise make your code very messy.
Having this control over the inherited `ReaderM` context via `withReader` is actually very useful
and something that is quite messy if you try and do this sort of thing with global variables, saving
the old value, setting the new one, calling the function, then restoring the old value, making sure
you do that in a try/finally block and so on. The `ReaderM` design pattern avoids that mess
entirely.
Now it's time to move on to [StateM Monad](states.lean.md) which is like a `ReaderM` that is
also updatable.
-/

View File

@@ -1,265 +0,0 @@
import Lean.Data.HashMap
/-!
# State
In the [previous section](readers.lean.md), you learned about the `ReaderM` monad. Hopefully this gave you
a new perspective on Lean. It showed that, in fact, you _can_ have global variables of some sort;
you just need to encode them in the type signature somehow, and this is what monads are for! In this
part, you will explore the `StateM` monad, which is like a `ReaderM` only the state can also be updated.
## Motivating example: Tic Tac Toe
For this section, let's build a simple model for a Tic Tace Toe game. The main object is the `GameState`
data type containing several important pieces of information. First and foremost, it has the
"board", a map from 2D tile indices to the "Tile State" (X, O or empty). Then it also knows the
current player, and it has a random generator.
-/
open Std (HashMap)
abbrev TileIndex := Nat × Nat -- a 2D index
inductive TileState where
| TileEmpty | TileX | TileO
deriving Repr, BEq
inductive Player where
| XPlayer | OPlayer
deriving Repr, BEq
abbrev Board := HashMap TileIndex TileState
structure GameState where
board : Board
currentPlayer : Player
generator : StdGen
/-!
Let's think at a high level about how some of the game functions would work. You could, for
instance, have a function for selecting a random move. This would output a `TileIndex` to play and
alter the game's number generator. You would then make a move based on the selected move and the
current player. This would change the board state as well as swap the current player. In other
words, you have operations that depend on the current state of the game, but also need to **update
that state**.
## The StateM Monad to the Rescue
This is exactly the situation the `StateM` monad deals with. The `StateM` monad wraps computations in
the context of reading and modifying a global state object.
It is parameterized by a single type parameter `s`, the state type in use. So just like the `ReaderM`
has a single type you read from, the `StateM` has a single type you can both **read from and write
to**. There are three primary actions you can take within the `StateM`monad:
- **get** - retrieves the state, like Reader.read
- **set** - updates the state
- **modifyGet** - retrieves the state, then updates it
There is also a `run` function, similar to `run` on `ReaderM`. Like the `ReaderM` monad, you must
provide an initial state, in addition to the computation to run. `StateM` then produces two outputs:
the result of the computation combined with the final updated state.
If you wish to discard the final state and just get the computation's result, you can use
`run'` method instead. Yes in Lean, the apostrophe can be part of a name, you read this "run
prime", and the general naming convention is that the prime method discards something.
So for your Tic Tac Toe game, many of your functions will have a signature like `State GameState a`.
## Stateful Functions
Now you can examine some of the different functions mentioned above and determine their types.
You can, for instance, pick a random move:
-/
open TileState
def findOpen : StateM GameState (List TileIndex) := do
let game get
return game.board.toList.filterMap fun (i, x) => guard (x == TileEmpty) *> pure i
def chooseRandomMove : StateM GameState TileIndex := do
let game get
let openSpots findOpen
let gen := game.generator
let (i, gen') := randNat gen 0 (openSpots.length - 1)
set { game with generator := gen' }
return openSpots[i]!
/-!
This returns a `TileIndex` and modifies the random number generator stored in the `GameState`!
Notice you have a fun little use of the `Applicative.seqRight` operator `*>` in `findOpen`
as described in [Applicatives](applicatives.lean.md).
Now you can create the function that can make a move:
-/
open Player
def tileStateForPlayer : Player TileState
| XPlayer => TileX
| OPlayer => TileO
def nextPlayer : Player Player
| XPlayer => OPlayer
| OPlayer => XPlayer
def applyMove (i : TileIndex): StateM GameState Unit := do
let game get
let p := game.currentPlayer
let newBoard := game.board.insert i (tileStateForPlayer p)
set { game with currentPlayer := nextPlayer p, board := newBoard }
/-!
This updates the board in the `GameState` with the new tile, and then changes the current player,
providing no output (`Unit` return type).
So finally, you can combine these functions together with `do` notation, and it actually looks quite
clean! You don't need to worry about the side effects. The different monadic functions handle them.
Here's a sample of what your function might look like to play one turn of the game. At the end, it
returns a boolean determining if all the spaces have been filled.
Notice in `isGameDone` and `nextTurn` we have stopped providing the full return type
`StateM GameState Unit`. This is because Lean is able to infer the correct monadic return type
from the context and as a result the code is now looking really clean.
-/
def isGameDone := do
return ( findOpen).isEmpty
def nextTurn := do
let i chooseRandomMove
applyMove i
isGameDone
/-!
To give you a quick test harness that runs all moves for both players you can run this:
-/
def initBoard : Board := Id.run do
let mut board := HashMap.empty
for i in [0:3] do
for j in [0:3] do
let t : TileIndex := (i, j)
board := board.insert t TileEmpty
board
def printBoard (board : Board) : IO Unit := do
let mut row : List String := []
for i in board.toList do
let s := match i.2 with
| TileEmpty => " "
| TileX => "X"
| TileO => "O"
row := row.append [s]
if row.length == 3 then
IO.println row
row := []
def playGame := do
while true do
let finished nextTurn
if finished then return
def main : IO Unit := do
let gen IO.stdGenRef.get
let (x, gen') := randNat gen 0 1
let gs := {
board := initBoard,
currentPlayer := if x = 0 then XPlayer else OPlayer,
generator := gen' }
let (_, g) := playGame |>.run gs
printBoard g.board
#eval main
-- [X, X, O]
-- [X, O, O]
-- [O, O, X]
/-!
Note that when you run the above code interactively the random number generator always starts in the
same place. But if you run `lean --run states.lean` then you will see randomness in the result.
## Implementation
It may be helpful to see how the `StateM` monad adds the input state and output state. If you look
at the reduced Type for `nextTurn`:
-/
#reduce StateM GameState Bool
-- GameState → Bool × GameState
/-!
So a function like `nextTurn` that might have just returned a `Bool` has been modified by the
`StateM` monad such that the initial `GameState` is passed in as a new input argument, and the output
value has been changed to the pair `Bool × GameState` so that it can return the pure `Bool` and the
updated `GameState`. So `playGame` then is automatically saving that updated game state so that each
time around the `while` loop it is acting on the new state, otherwise that would be an infinite loop!
It is also interesting to see how much work the `do` and `←` notation are doing for you. To
implement the `nextTurn` function without these you would have to write this, manually plumbing
the state all the way through:
-/
def nextTurnManually : StateM GameState Bool
| state =>
let (i, gs) := chooseRandomMove |>.run state
let (_, gs') := applyMove i |>.run gs
let (result, gs'') := isGameDone |>.run gs'
(result, gs'')
/-!
This expression `let (i, gs)` conveniently breaks a returned pair up into 2 variables.
In the expression `let (_, gs')` we didn't care what the first value was so we used underscore.
Notice that nextTurn is capturing the updated game state from `chooseRandomMove` in the variable
`gs`, which it is then passing to `applyMove` which returns `gs'` which is passed to `isGameDone`
and that function returns `gs''` which we then return from `nextTurnManually`. Phew, what a lot
of work you don't have to do when you use `do` notation!
## StateM vs ReaderM
While `ReaderM` functions can use `withReader` to modify the context before calling another function,
`StateM` functions are a little more powerful, let's look at this function again:
```
def nextTurn : StateM GameState Bool := do
let i ← chooseRandomMove
applyMove i
isGameDone
```
In this function `chooseRandomMove` is modifying the state that `applyMove` is getting
and `chooseRandomMove` knows nothing about `applyMove`. So `StateM` functions can have this
kind of downstream effect outside their own scope, whereas, `withReader` cannot do that.
So there is no equivalent to `withReader` for `StateM`, besides you can always use the `StateM`
`set` function to modify the state before calling the next function anyway. You could however,
manually call a `StateM` function like you see in `nextTurnManually` and completely override
the state at any point that way.
## State, IO and other languages
When thinking about Lean, it is often seen as a restriction that you can't have global variables or
`static` variables like you can with other languages like Python or C++. However, hopefully you see
now this isn't true. You can have a data type with exactly the same functionality as a Python class.
You would simply have many functions that can modify some global state using the `StateM` monad.
The difference is in Lean you simply put a label on these types of functions. You don't allow it to
happen for free anywhere in an uncontrolled fashion because that results in too many sleepless
nights debugging nasty code. You want to know when side effects can potentially happen, because
knowing when they can happen makes your code easier to reason about. In a Python class, many of the
methods won't actually need to modify the global state. But they could, which makes it harder to
debug them. In Lean you can simply make these pure functions, and the compiler will ensure they stay
pure and cannot modify any global state.
IO is the same way. It's not like you can't perform IO in Lean. Instead, you want to label the areas
where you can, to increase your certainty about the areas where you don't need to. When you know part of
your code cannot communicate with the outside world, you can be far more certain of its behavior.
The `StateM` monad is also a more disciplined way of managing side effects. Top level code could
call a `StateM` function multiple times with different independent initial states, even doing that
across multiple tasks in parallel and each of these cannot clobber the state belonging to other
tasks. Monadic code is more predictable and reusable than code that uses global variables.
## Summary
That wraps it up for the `StateM` monad! There is one more very useful monad that can be used to do
exception handling which will be covered in the [next section](except.lean.md).
-/

View File

@@ -1,316 +0,0 @@
/-!
# Monad Transformers
In the previous sections you learned about some handy monads [Option](monads.lean.md),
[IO](monads.lean.md), [Reader](readers.lean.md), [State](states.lean.md) and
[Except](except.lean.md), and you now know how to make your function use one of these, but what you
do not yet know is how to make your function use multiple monads at once.
For example, suppose you need a function that wants to access some Reader context and optionally throw
an exception? This would require composition of two monads `ReaderM` and `Except` and this is what
monad transformers are for.
A monad transformer is fundamentally a wrapper type. It is generally parameterized by another
monadic type. You can then run actions from the inner monad, while adding your own customized
behavior for combining actions in this new monad. The common transformers add `T` to the end of an
existing monad name. You will find `OptionT`, `ExceptT`, `ReaderT`, `StateT` but there is no transformer
for `IO`. So generally if you need `IO` it becomes the innermost wrapped monad.
In the following example we use `ReaderT` to provide some read only context to a function
and this `ReaderT` transformer will wrap an `Except` monad. If all goes well the
`requiredArgument` returns the value of a required argument and `optionalSwitch`
returns true if the optional argument is present.
-/
abbrev Arguments := List String
def indexOf? [BEq α] (xs : List α) (s : α) (start := 0): Option Nat :=
match xs with
| [] => none
| a :: tail => if a == s then some start else indexOf? tail s (start+1)
def requiredArgument (name : String) : ReaderT Arguments (Except String) String := do
let args read
let value := match indexOf? args name with
| some i => if i + 1 < args.length then args[i+1]! else ""
| none => ""
if value == "" then throw s!"Command line argument {name} missing"
return value
def optionalSwitch (name : String) : ReaderT Arguments (Except String) Bool := do
let args read
return match (indexOf? args name) with
| some _ => true
| none => false
#eval requiredArgument "--input" |>.run ["--input", "foo"]
-- Except.ok "foo"
#eval requiredArgument "--input" |>.run ["foo", "bar"]
-- Except.error "Command line argument --input missing"
#eval optionalSwitch "--help" |>.run ["--help"]
-- Except.ok true
#eval optionalSwitch "--help" |>.run []
-- Except.ok false
/-!
Notice that `throw` was available from the inner `Except` monad. The cool thing is you can switch
this around and get the exact same result using `ExceptT` as the outer monad transformer and
`ReaderM` as the wrapped monad. Try changing requiredArgument to `ExceptT String (ReaderM Arguments) Bool`.
Note: the `|>.` notation is described in [Readers](readers.lean.md#the-reader-solution).
## Adding more layers
Here's the best part about monad transformers. Since the result of a monad transformer is itself a
monad, you can wrap it inside another transformer! Suppose you need to pass in some read only context
like the command line arguments, update some read-write state (like program Config) and optionally
throw an exception, then you could write this:
-/
structure Config where
help : Bool := false
verbose : Bool := false
input : String := ""
deriving Repr
abbrev CliConfigM := StateT Config (ReaderT Arguments (Except String))
def parseArguments : CliConfigM Bool := do
let mut config get
if ( optionalSwitch "--help") then
throw "Usage: example [--help] [--verbose] [--input <input file>]"
config := { config with
verbose := ( optionalSwitch "--verbose"),
input := ( requiredArgument "--input") }
set config
return true
def main (args : List String) : IO Unit := do
let config : Config := { input := "default"}
match parseArguments |>.run config |>.run args with
| Except.ok (_, c) => do
IO.println s!"Processing input '{c.input}' with verbose={c.verbose}"
| Except.error s => IO.println s
#eval main ["--help"]
-- Usage: example [--help] [--verbose] [--input <input file>]
#eval main ["--input", "foo"]
-- Processing input file 'foo' with verbose=false
#eval main ["--verbose", "--input", "bar"]
-- Processing input 'bar' with verbose=true
/-!
In this example `parseArguments` is actually three stacked monads, `StateM`, `ReaderM`, `Except`. Notice
the convention of abbreviating long monadic types with an alias like `CliConfigM`.
## Monad Lifting
Lean makes it easy to compose functions that use different monads using a concept of automatic monad
lifting. You already used lifting in the above code, because you were able to compose
`optionalSwitch` which has type `ReaderT Arguments (Except String) Bool` and call it from
`parseArguments` which has a bigger type `StateT Config (ReaderT Arguments (Except String))`.
This "just worked" because Lean did some magic with monad lifting.
To give you a simpler example of this, suppose you have the following function:
-/
def divide (x : Float ) (y : Float): ExceptT String Id Float :=
if y == 0 then
throw "can't divide by zero"
else
pure (x / y)
#eval divide 6 3 -- Except.ok 2.000000
#eval divide 1 0 -- Except.error "can't divide by zero"
/-!
Notice here we used the `ExceptT` transformer, but we composed it with the `Id` identity monad.
This is then the same as writing `Except String Float` since the identity monad does nothing.
Now suppose you want to count the number of times divide is called and store the result in some
global state:
-/
def divideCounter (x : Float) (y : Float) : StateT Nat (ExceptT String Id) Float := do
modify fun s => s + 1
divide x y
#eval divideCounter 6 3 |>.run 0 -- Except.ok (2.000000, 1)
#eval divideCounter 1 0 |>.run 0 -- Except.error "can't divide by zero"
/-!
The `modify` function is a helper which makes it easier to use `modifyGet` from the `StateM` monad.
But something interesting is happening here, `divideCounter` is returning the value of
`divide`, but the types don't match, yet it works? This is monad lifting in action.
You can see this more clearly with the following test:
-/
def liftTest (x : Except String Float) :
StateT Nat (Except String) Float := x
#eval liftTest (divide 5 1) |>.run 3 -- Except.ok (5.000000, 3)
/-!
Notice that `liftTest` returned `x` without doing anything to it, yet that matched the return type
`StateT Nat (Except String) Float`. Monad lifting is provided by monad transformers. if you
`#print liftTest` you will see that Lean is implementing this using a call to a function named
`monadLift` from the `MonadLift` type class:
```lean,ignore
class MonadLift (m : Type u → Type v) (n : Type u → Type w) where
monadLift : {α : Type u} → m α → n α
```
So `monadLift` is a function for lifting a computation from an inner `Monad m α ` to an outer `Monad n α`.
You could replace `x` in `liftTest` with `monadLift x` if you want to be explicit about it.
The StateT monad transformer defines an instance of `MonadLift` like this:
```lean
@[inline] protected def lift {α : Type u} (t : m α) : StateT σ m α :=
fun s => do let a ← t; pure (a, s)
instance : MonadLift m (StateT σ m) := ⟨StateT.lift⟩
```
This means that any monad `m` can be wrapped in a `StateT` monad by using the function
`fun s => do let a ← t; pure (a, s)` that takes state `s`, runs the inner monad action `t`, and
returns the result and the new state in a pair `(a, s)` without making any changes to `s`.
Because `MonadLift` is a type class, Lean can automatically find the required `monadLift`
instances in order to make your code compile and in this way it was able to find the `StateT.lift`
function and use it to wrap the result of `divide` so that the correct type is returned from
`divideCounter`.
If you have an instance `MonadLift m n` that means there is a way to turn a computation that happens
inside of `m` into one that happens inside of `n` and (this is the key part) usually *without* the
instance itself creating any additional data that feeds into the computation. This means you can in
principle declare lifting instances from any monad to any other monad, it does not, however, mean
that you should do this in all cases. You can get a very nice report on how all this was done by
adding the line `set_option trace.Meta.synthInstance true in` before `divideCounter` and moving you
cursor to the end of the first line after `do`.
This was a lot of detail, but it is very important to understand how monad lifting works because it
is used heavily in Lean programs.
## Transitive lifting
There is also a transitive version of `MonadLift` called `MonadLiftT` which can lift multiple
monad layers at once. In the following example we added another monad layer with
`ReaderT String ...` and notice that `x` is also automatically lifted to match.
-/
def liftTest2 (x : Except String Float) :
ReaderT String (StateT Nat (Except String)) Float := x
#eval liftTest2 (divide 5 1) |>.run "" |>.run 3
-- Except.ok (5.000000, 3)
/-!
The ReaderT monadLift is even simpler than the one for StateT:
```lean,ignore
instance : MonadLift m (ReaderT ρ m) where
monadLift x := fun _ => x
```
This lift operation creates a function that defines the required `ReaderT` input
argument, but the inner monad doesn't know or care about `ReaderT` so the
monadLift function throws it away with the `_` then calls the inner monad action `x`.
This is a perfectly legal implementation of the `ReaderM` monad.
## Add your own Custom MonadLift
This does not compile:
-/
def main2 : IO Unit := do
try
let ret divideCounter 5 2 |>.run 0
IO.println (toString ret)
catch e =>
IO.println e
/-!
saying:
```
typeclass instance problem is stuck, it is often due to metavariables
ToString ?m.4786
```
The reason is `divideCounter` returns the big `StateT Nat (ExceptT String Id) Float` and that type
cannot be automatically lifted into the `main` return type of `IO Unit` unless you give it some
help.
The following custom `MonadLift` solves this problem:
-/
def liftIO (t : ExceptT String Id α) : IO α := do
match t with
| .ok r => EStateM.Result.ok r
| .error s => EStateM.Result.error s
instance : MonadLift (ExceptT String Id) IO where
monadLift := liftIO
def main3 : IO Unit := do
try
let ret divideCounter 5 2 |>.run 0
IO.println (toString ret)
catch e =>
IO.println e
#eval main3 -- (2.500000, 1)
/-!
It turns out that the `IO` monad you see in your `main` function is based on the `EStateM.Result` type
which is similar to the `Except` type but it has an additional return value. The `liftIO` function
converts any `Except String α` into `IO α` by simply mapping the ok case of the `Except` to the
`Result.ok` and the error case to the `Result.error`.
## Lifting ExceptT
In the previous [Except](except.lean.md) section you saw functions that `throw` Except
values. When you get all the way back up to your `main` function which has type `IO Unit` you have
the same problem you had above, because `Except String Float` doesn't match even if you use a
`try/catch`.
-/
def main4 : IO Unit := do
try
let ret divide 5 0
IO.println (toString ret) -- lifting happens here.
catch e =>
IO.println s!"Unhandled exception: {e}"
#eval main4 -- Unhandled exception: can't divide by zero
/-!
Without the `liftIO` the `(toString ret)` expression would not compile with a similar error:
```
typeclass instance problem is stuck, it is often due to metavariables
ToString ?m.6007
```
So the general lesson is that if you see an error like this when using monads, check for
a missing `MonadLift`.
## Summary
Now that you know how to combine your monads together, you're almost done with understanding the key
concepts of monads! You could probably go out now and start writing some pretty nice code! But to
truly master monads, you should know how to make your own, and there's one final concept that you
should understand for that. This is the idea of type "laws". Each of the structures you've learned
so far has a series of laws associated with it. And for your instances of these classes to make
sense, they should follow the laws! Check out [Monad Laws](laws.lean.md).
-/

View File

@@ -7,7 +7,7 @@ overloading existing) prefix, infix, and postfix operators.
infixl:65 " + " => HAdd.hAdd -- left-associative
infix:50 " = " => Eq -- non-associative
infixr:80 " ^ " => HPow.hPow -- right-associative
prefix:75 "-" => Neg.neg
prefix:100 "-" => Neg.neg
# set_option quotPrecheck false
postfix:max "⁻¹" => Inv.inv
```
@@ -26,7 +26,7 @@ can make this more precise by looking at what the commands above unfold to:
notation:65 lhs:65 " + " rhs:66 => HAdd.hAdd lhs rhs
notation:50 lhs:51 " = " rhs:51 => Eq lhs rhs
notation:80 lhs:81 " ^ " rhs:80 => HPow.hPow lhs rhs
notation:75 "-" arg:75 => Neg.neg arg
notation:100 "-" arg:100 => Neg.neg arg
# set_option quotPrecheck false
notation:1024 arg:1024 "⁻¹" => Inv.inv arg -- `max` is a shorthand for precedence 1024
```

Some files were not shown because too many files have changed in this diff Show More