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Posts tagged #Lean4

All Lean Books And Where To Find Them Respecting traditions of the city I'm currently in This could have been a classic "Awesome Lean" repo (like this), however I'd much prefer reading subjective o...

A great resource about learning #Lean4: lakesare.brick.do/all-lean-boo...

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This is also not too different to how #Lean4 implements mutability and loops in its do-notation.

(Though I think Lean does not use a key-value-store, but rather just nests multiple State Monad Transformers inside of each other.)

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Calling Lean Functions As Python Functions I think Lean is neat.

[New Blog Post] Calling Lean Functions As Python Functions www.philipzucker.com/leancall/ #lean4 #python

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797 downloads! Version 1.2 with Lean 4 formalization has 93% download-to-view ratio (136/146) just one week after update on Zenodo.

The Canonical Six zero divisor patterns compute from 16D sedenions to 256D in BOTH Clifford and Cayley-Dickson algebras.

doi.org/10.5281/zenodo.18357723

#Math #Lean4

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feat: Bisimilarity can be characterized through symmetric simulation relations by benkeks · Pull Request #273 · leanprover/cslib In formalized proofs, the characterization of bisimilarity through symmetric simulations often is more convenient than the one through bisimulation relations. (The reason is that paper proofs about...

My New Year's resolution has been to give #lean4 a serious try. There's a lot of wonderful stuff! I'm hyped to one day use the proof widgets to insert playable JS-examples into theories. 🤯 And today, my first tiny submission to leanprover/cslib has been merged, yay! 🥳

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709 downloads 🎯

V1.2 with Lean 4 formal verification surging: 63 downloads in 3 days, 96.9% conversion.

The Canonical Six gaining traction with rigorous proofs provided by Harmonic Math's Aristotle.

"Better math, less suffering."

doi.org/10.5281/zeno...

#Lean4 #FormalVerification #Mathematics

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500+ DOWNLOADS on Zenodo! 🎉📈

My paper on The Canonical Six crossed the 500-mark with a 71% conversion rate. Verified by #Lean4 with Harmonic Math's Aristotle. Moving high-dimensional algebra from "pathological" to predictable.

🔗 doi.org/10.5281/zeno...

#Math #ZeroDivisors #TwoAlgebras #Sedenions

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This week I started to learn #lean4 (programming language/proof assistant) and I'm positively in love

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The integrated explicit analytic number theory network Like many other areas of modern analysis, analytic number theory often relies on the convenient device of asymptotic notation to express its results. It is common to use notation such as or , for instance, to indicate a bound of the form for some unspecified constant . Such implied constants vary from line to line, […]
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2026 resolution:

- Reduce my office time from 3 days per week to 2. #workload #lean4 @ki.se

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This an unofficial Birgitta Henriques-Normark Lab manager account. #lean4 #procrastination

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hey @ki.se rate my pose at Karolinska Institutet office from -2 to 10. Feet on the table like HR would be proud of !Tack så mycket hey hey #lean4

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#lean4 posting because it consumed my life for three weeks

I can't figure out what people get from this software

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From Zero to QED: An informal introduction to formality in Lean 4 An informal introduction to formality in Lean 4

👉 From Zero to QED: An informal introduction to formality in Lean 4

#lean4 #plt #formal
sdiehl.github.io/zero-to-qed/

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From Zero to QED: An informal introduction to formality in Lean 4 An informal introduction to formality in Lean 4

The question is not whether you need something but whether it interests you."

https://sdiehl.github.io/zero-to-qed/02_why.html

#lean4

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ReasLab IDE launched: browser-based Lean 4 theorem proving with real-time collaboration. Zero-install setup, cloud projects, unified docs – like Overleaf for formal verification. Big boost for collaborative math. #FormalVerification #Lean4

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GitHub - sdiehl/aoc-2025-lean: Advent of Code 2025 done in Lean 4 Advent of Code 2025 done in Lean 4. Contribute to sdiehl/aoc-2025-lean development by creating an account on GitHub.

Solving the AOC problems with #lean4 github.com/sdiehl/aoc-2... (why the := syntax though? 😥)

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Aleph prover just went BEAST MODE
4 math problems unsolved for 20+ years. Formal proofs in Lean 4. Less than 48 hours. Under $5k total.

Aleph prover just went BEAST MODE 4 math problems unsolved for 20+ years. Formal proofs in Lean 4. Less than 48 hours. Under $5k total.

Things are moving in the world of automated theorem provers.
Are we witnessing the birth of a new era?
"Aleph prover just went BEAST MODE"
#Lean4

Source :
x.com/logic_int/st...

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Imagine AI advisers that suggest hypotheses and then automatically generate physics‑consistent proofs using Lean4. The future of safe, verifiable AI is here—check out how theorem proving meets large‑language models! #Lean4 #FormalVerification #AI

🔗 aidailypost.com/news/lean4-p...

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I nerdsniped myself into learning #Lean4 even though I have zero experience proving things.

Send help, for my sanity.

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It seems the new #Lean4 modules system has an "import all" keyword to work around this limitation, but the modules system is still considered experimental.

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feat: default `let rec` and `where` decls to private under the module system by Kha · Pull Request #9759 · leanprover/lean4 Re-lands #9666

It seems, where-clauses are now private, in recent #Lean4 versions...
(https://github.com/leanprover/lean4/pull/9759

This makes some things annoying. For instance, proving properties of functions in the prelude that use where-clauses (for instance Nat.nextPowerOfTwo) is no longer possible...

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Maths Proofs in Lean First Steps book cover

Maths Proofs in Lean First Steps book cover

You don't need a PhD to get started writing simple proofs in Lean.

This guide is written for newcomers.

◉ avoids jargon
◉ short chapters around a small example
◉ focus on concepts, not language
◉ designed to build confidence, not destroy it!

www.amazon.com/dp/B0DWHS1RDJ

#maths #leanprover #lean4

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Original post on mastodon.gamedev.place

It seems that #Lean4 has now broken case labels for nested application of the `split` tactic.

Previously, if I used
`split at foo <;> split at bar`
the generated case tags were of the form `h_1.h_1`, `h_1.h_2`, `h_2.h_1`, `h_2.h_2`. Now, in 4.21, they are just `h_1`, `h_2`, `h_1`, `h_2`. So […]

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Terence Tao (@tao@mathstodon.xyz) Attached: 1 image As a consequence of my #Lean4 formalization project I have found a small (but non-trivial) bug in my paper! While in the course of formalizing the arguments in page 6 of https://ar...

すごい

Terence Tao: "As a consequence of my #Lean4 …" - Mathstodon share.google/hvmFwKrEMSe0...

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Vibe Validation with Lean, ChatGPT-5, & Claude 4.5 (Part 1) Nine Rules for Proving (Rust) Algorithms Correct Without Knowing Formal Methods

"Vibe Validation" I got AI to prove my Rust algorithm correct with Lean. The good news: it worked. The bad news: it took weeks, $50, and 4,700 lines of proof for 50 lines of code.
medium.com/@carlmkadie/...
#RustLang #AI #OpenAI #FormalVerification #Lean4 #ChatGPT #ClaudeAI

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Original post on mastodon.gamedev.place

I want to get back into doing some #Lean4 again.

I stopped last time, because Lean 4.18 didn't compile, and back then I didn't have the nerves to patch it.

Some months have passed since then, and with them some Lean toolchain versions...

I want to update one version at a time, to keep […]

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Lean 4 Formalizes Mason‑Stothers Theorem and Polynomial Corollaries

Lean 4 Formalizes Mason‑Stothers Theorem and Polynomial Corollaries

The Mason‑Stothers theorem and polynomial corollaries have been formally verified in Lean 4 and merged into mathlib; the work was submitted on 27 Aug 2024 and revised on 25 Sep 2025. Read more: getnews.me/lean-4-formalizes-mason-... #lean4 #mathlib

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Lean Formalization of Harder‑Narasimhan Theory Enhances Proofs

Lean Formalization of Harder‑Narasimhan Theory Enhances Proofs

The Harder‑Narasimhan theory has been fully formalized in the Lean 4 proof assistant, with machine‑checked proofs of the canonical filtration released on 23 Sep 2025. Read more: getnews.me/lean-formalization-of-ha... #hardernarasimhan #lean4 #mathlib

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Gödel Mirror: A Formal System For Contradiction-Driven Recursion We introduce the Gödel Mirror, a formal system defined in Lean 4 that treats contradiction as a control signal for recursive structural evolution. Inspired by Gödelian self-reference, our system's o...

my first arXiv preprint is here ~~

Gödel Mirror: A Formal System for Contradiction-Driven Recursion.
A Lean4 mechanized system that treats contradiction as a control signal for recursion.
arxiv.org/abs/2509.16239

#logic #Lean4 #formalmethods #AI

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