Mathematicians welcome computer-assisted proof in ‘grand unification’ theory

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  • mathlib

    Lean 3's obsolete mathematical components library: please use mathlib4

  • If you're interested in interactive theorem proving with Lean (and not condensed mathematics), the Lean community landing page is a good place to start. https://leanprover-community.github.io/

    Especially the "Natural Number Game" under "Learning resources" has been successful in teaching folks the very basics for writing proofs. Once finished, a textbook like "Theorem Proving in Lean" can teach the full basics. Feel free to join the Lean Zulip at any point and ask questions at https://leanprover.zulipchat.com/ in the #new members stream.

    Mathlib has plenty of contributions from interested undergrads :)

  • coq

    Coq is a formal proof management system. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semi-interactive development of machine-checked proofs.

  • There's ongoing work[1] on fixing that. Also let's see how migrating setoids to cubical type theory might fix more issues for Coq. Will they follow the Arend[2] path? That remains to be seen.

    [1] https://github.com/coq/coq/pull/10764

    [2] https://arend-lang.github.io/

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NOTE: The number of mentions on this list indicates mentions on common posts plus user suggested alternatives. Hence, a higher number means a more popular project.

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