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Try doing some basic maths questions in the Lean Theorem Prover. Functions, real numbers, equivalence relations and groups. Click on README.md and then on "Open in CoCalc with one click".
License: APACHE
Installing Lean and mathlib on Windows
This document explains how to get started with Lean and mathlib.
If you get stuck, please come to the chat room to ask for assistance. If you prefer, you can watch a short video tutorial
We'll need to set up Lean, an editor that knows about Lean, and mathlib
(the standard library). Rather than installing Lean directly, we'll install a small program called elan
which automatically provides the correct version of Lean on a per-project basis. This is recommended for all users.
Installing elan
We'll need a terminal, along with some basic prerequisites.
We recommend that you use
git bash
and notmsys2
, since installing the supporting tools (below) causes issues inmsys2
.Install Git for Windows (you can accept all default answers during installation). Then open a terminal by typing
git bash
in the Windows search bar.In terminal, run the command
curl https://raw.githubusercontent.com/Kha/elan/master/elan-init.sh -sSf | sh
and hit enter when a question is asked. To make sure the terminal will find the installed files, run
echo 'PATH="$HOME/.elan/bin:$PATH"' >> $HOME/.profile
.
Then close and reopen Git Bash.
Installing mathlib supporting tools
In order to use mathlib supporting tools, you need to get python first.
Get Python
Download the latest version of python here.
Run the downloaded file (
python-3.x.x.exe
)Check
Add Python 3.x to PATH
.Choose the default installation.
Open Git Bash (type
git bash
in the Start Menu)Run
which python
The expected output is something like
/c/Users/<user>/AppData/Local/Programs/Python/Pythonxx-xx/python
. In this case, proceed to the next step.If it's something like
/c/Users/<user>/AppData/Local/Microsoft/WindowsApps/python
, then you need to disable a Windows setting.Type
manage app execution aliases
into the Windows search prompt (start menu) and open the corresponding System Settings page.There should be two entries
App Installer python.exe
andApp Installer python3.exe
. Ensure that both of these are set toOff
.Close and reopen Git Bash and restart this step.
If it is any other directory, you might have an existing version of Python. Ask for help in the Zulip chat room (linked above).
If you get
command not found
, you should add the Python directory to your path. Google how to do this, or ask on Zulip.
Run
cp "$(which python)" "$(which python)"3
. This ensures that we can use the commandpython3
to call Python.Test whether everything is working by typing
python3 --version
andpip3 --version
. If both commands give a short output and no error, everything is set up correctly.If
pip3 --version
doesn't give any output, run the commandpython3 -m pip install --upgrade pip
, which should fix it.
Configure Git
Run
git config --global core.autocrlf input
in Git BashAlternatively, you can set it to
false
. If it is set totrue
, you might run into issues when runningupdate-mathlib
orcache-olean --fetch
.
Get Scripts
Then, at a terminal, run the command
Run source ~/.profile
or close and reopen Git Bash.
Installing and configuring an editor
There are two Lean-aware editors, VS Code and emacs. This document describes using VS Code (for emacs, look at https://github.com/leanprover/lean-mode).
Install VS Code.
Launch VS Code.
Click on the extension icon (or in older versions) in the side bar on the left edge of the screen (or press ShiftCtrlX) and search for
leanprover
.Click "install" (In old versions of VSCode, you might need to click "reload" afterwards)
Setup the default shell:
If you're using
git bash
, pressctrl-shift-p
to open the command palette, and typeSelect Default Shell
, then selectgit bash
from the menu.If you're using
msys2
, pressctrl-comma
again to open the settings, and add two settings:
Verify Lean is working, for example by saving a file
test.lean
and entering#eval 1+1
. A green line should appear underneath#eval 1+1
, and hovering the mouse over it you should see2
displayed.
You can now read instructions about creating and working on Lean projects