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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".

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Installing Lean and mathlib on Linux

This document explains how to get started with Lean and mathlib on a generic Linux distribution (there is a specific page for Debian and derived distribtions such as Ubuntu).

All commands below should be typed inside a terminal.

  • Lean itself doesn't depend on much infrastructure, but supporting tools needed by most users require git, curl, and python. So the first step is to get those.

  • You will also need a code editor that has a Lean plugin. The recommended choice is Visual Studio Code. The alternative is to use Emacs, and its 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. 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.

  • The next step installs a small tool called elan which will handle updating Lean according to the needs of your current project (hit Enter when a question is asked). It will live in $HOME/.elan and add a line to $HOME/.profile.

    curl https://raw.githubusercontent.com/Kha/elan/master/elan-init.sh -sSf | sh

  • Then we install a small tool called update-mathlib that which will handle updating mathlib according to the needs of your current project. It will live in $HOME/.mathlib and add a line to $HOME/.profile.

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

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