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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".

Project: Xena
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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

  1. We'll need a terminal, along with some basic prerequisites.

    We recommend that you use git bash and not msys2, since installing the supporting tools (below) causes issues in msys2.

    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.

  2. 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 and App Installer python3.exe. Ensure that both of these are set to Off.

      • 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 command python3 to call Python.

  • Test whether everything is working by typing python3 --version and pip3 --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 command python3 -m pip install --upgrade pip, which should fix it.

Configure Git

  • Run git config --global core.autocrlf input in Git Bash

    • Alternatively, you can set it to false. If it is set to true, you might run into issues when running update-mathlib or cache-olean --fetch.

Get Scripts

Then, at a terminal, run the command

curl https://raw.githubusercontent.com/leanprover-community/mathlib-tools/master/scripts/remote-install-update-mathlib.sh -sSf | bash

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).

  1. Install VS Code.

  2. Launch VS Code.

  3. Click on the extension icon (image of icon) (or (image of icon) in older versions) in the side bar on the left edge of the screen (or press ShiftCtrlX) and search for leanprover.

  4. Click "install" (In old versions of VSCode, you might need to click "reload" afterwards)

  5. Setup the default shell:

  • If you're using git bash, press ctrl-shift-p to open the command palette, and type Select Default Shell, then select git bash from the menu.

  • If you're using msys2, press ctrl-comma again to open the settings, and add two settings:

"terminal.integrated.shell.windows": "C:\\msys64\\usr\\bin\\bash.exe", "terminal.integrated.shellArgs.windows": ["--login", "-i"]
  1. 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 see 2 displayed.

You can now read instructions about creating and working on Lean projects