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José A. Alonso<p>Simple groups in Lean (Video). ~ Antoine Chambert-Loir. <a href="https://youtu.be/yy66Dgod2gE" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">youtu.be/yy66Dgod2gE</span><span class="invisible"></span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p>A crash course on type theory (Video). ~ Antoine Chambert-Loir. <a href="https://youtu.be/7Uux3Vuwnhg" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">youtu.be/7Uux3Vuwnhg</span><span class="invisible"></span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/TypeTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>TypeTheory</span></a></p>
José A. Alonso<p>A crash course on type theory. ~ Antoine Chambert-Loir. <a href="https://webusers.imj-prg.fr/~antoine.chambert-loir/exposes/accitt.pdf" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">webusers.imj-prg.fr/~antoine.c</span><span class="invisible">hambert-loir/exposes/accitt.pdf</span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/TypeTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>TypeTheory</span></a></p>
José A. Alonso<p>Doing elementary number theory in Lean (Video 2). ~ Antoine Chambert-Loir <a href="https://youtu.be/2w-PX3GhYXg" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">youtu.be/2w-PX3GhYXg</span><span class="invisible"></span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p>Readings shared July 29, 2025. <a href="https://jaalonso.github.io/vestigium/posts/2025/07/30-readings_shared_07-29-25" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/vestigium/p</span><span class="invisible">osts/2025/07/30-readings_shared_07-29-25</span></a> <a href="https://mathstodon.xyz/tags/CoqProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CoqProver</span></a> <a href="https://mathstodon.xyz/tags/FormalVerification" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>FormalVerification</span></a> <a href="https://mathstodon.xyz/tags/FunctionalProgramming" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>FunctionalProgramming</span></a> <a href="https://mathstodon.xyz/tags/Haskell" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Haskell</span></a> <a href="https://mathstodon.xyz/tags/IMO" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IMO</span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/LLMs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LLMs</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/MachineLearning" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MachineLearning</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/ProofAssistant" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ProofAssistant</span></a> <a href="https://mathstodon.xyz/tags/Rocq" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Rocq</span></a> <a href="https://mathstodon.xyz/tags/Rust" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Rust</span></a></p>
José A. Alonso<p>Symbolic world models in Lean 4 for reinforcement learning. ~ Matěj Kripner. <a href="https://openreview.net/forum?id=CBFAMnax09" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">openreview.net/forum?id=CBFAMn</span><span class="invisible">ax09</span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/MachineLearning" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MachineLearning</span></a></p>
José A. Alonso<p>Scaling mathematical reasoning through data, tools, and generative selection. ~ Ivan Moshkov et als. <a href="https://openreview.net/forum?id=OM7ZN0PmSS" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">openreview.net/forum?id=OM7ZN0</span><span class="invisible">PmSS</span></a> <a href="https://mathstodon.xyz/tags/LLMs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LLMs</span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
Lean<p>📣 We're excited to share the new lean-lang.org!</p><p>Relaunching our website was a key deliverable in our Year 2 roadmap to provide "improved navigation and access to valuable content, resources, and tools." We hope you like it!</p><p><a href="https://functional.cafe/tags/LeanLang" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanLang</span></a> <a href="https://functional.cafe/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a></p>
José A. Alonso<p>Readings shared July 4, 2025. <a href="https://jaalonso.github.io/vestigium/posts/2025/07/05-readings_shared_07-04-25" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/vestigium/p</span><span class="invisible">osts/2025/07/05-readings_shared_07-04-25</span></a> <a href="https://mathstodon.xyz/tags/CategoryTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CategoryTheory</span></a> <a href="https://mathstodon.xyz/tags/FunctionalProgramming" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>FunctionalProgramming</span></a> <a href="https://mathstodon.xyz/tags/Haskell" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Haskell</span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/LLMs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LLMs</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/Logic" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Logic</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/Rust" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Rust</span></a> <a href="https://mathstodon.xyz/tags/TypeTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>TypeTheory</span></a></p>
José A. Alonso<p>ProofAug: Efficient neural theorem proving via fine-grained proof structure analysis. ~ Haoxiong Liu et als. <a href="https://openreview.net/pdf?id=GCjsjnl8yA" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">openreview.net/pdf?id=GCjsjnl8</span><span class="invisible">yA</span></a> <a href="https://mathstodon.xyz/tags/LLMs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LLMs</span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a></p>
José A. Alonso<p>Formalizing zeta and L-functions in Lean. ~ David Loeffler, Michael Stoll. <a href="https://arxiv.org/abs/2503.00959" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">arxiv.org/abs/2503.00959</span><span class="invisible"></span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
Lean<p>We are deeply grateful to ACM SIGPLAN for recognizing <a href="https://functional.cafe/tags/LeanLang" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanLang</span></a> with the Programming Languages Software Award 2025 at <a href="https://functional.cafe/tags/PLDI2025" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>PLDI2025</span></a>.</p><p>The citation states: "The Lean theorem prover is a remarkable software artifact. Grounded on strong theoretical and engineering foundations, Lean has had and continues to have a broad impact on industrial practice and scientific research."</p><p>Unquestionably, this recognition belongs to the community as much as it does the original authors - especially to the many mathematicians and contributors who have helped to build Mathlib to over 1.8M lines of code. As Soonho Kong said on accepting the award: "This award goes to the actual Lean community and all the people who love Lean and using Lean." </p><p>Thank you to everyone who has contributed to making formal mathematics more accessible and reliable!</p><p><a href="https://functional.cafe/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://functional.cafe/tags/FormalMathmatics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>FormalMathmatics</span></a></p>
Andrej Bauer<p>I taught a class on formalized mathematics in Lean. Today two projects were handed in, and both of them are quite impressive.</p><p>In the first project, Luka Opravš formalized Polya's enumeration theorem, and then proceeded to also implement and formally verify an efficient algorithmic version.</p><p>It takes Lean only a moment to formally compute that there are</p><p>3734642804542694673304928339684903440360290548300415176063232044682349196517954782034451010203315482100413928177255823637569999967383129500169880004095283194405966596476413742304023127572767115899</p><p>distinct colorings of a necklace with 99 beads and 99 colors. See Luka's blueprint for details (and give his repository a star while you're at it).</p><p><a href="https://github.com/Luka-O/polya-enumeration-theorem" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">github.com/Luka-O/polya-enumer</span><span class="invisible">ation-theorem</span></a></p><p><a href="https://mathstodon.xyz/tags/Leanprover" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Leanprover</span></a></p>
José A. Alonso<p>A complete formalization of Fermat's Last Theorem for regular primes in Lean. ~ Alex Best, Christopher Birkbeck, Riccardo Brasca, Eric Rodriguez Boidi, Ruben van De Velde, Andrew Yang. <a href="https://arxiv.org/abs/2410.01466" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">arxiv.org/abs/2410.01466</span><span class="invisible"></span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p>Readings shared June 14, 2025. <a href="https://jaalonso.github.io/vestigium/posts/2025/06/15-readings_shared_06-14-25" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/vestigium/p</span><span class="invisible">osts/2025/06/15-readings_shared_06-14-25</span></a> <a href="https://mathstodon.xyz/tags/Algorithms" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Algorithms</span></a> <a href="https://mathstodon.xyz/tags/Emacs" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Emacs</span></a> <a href="https://mathstodon.xyz/tags/FunctionalProgramming" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>FunctionalProgramming</span></a> <a href="https://mathstodon.xyz/tags/Haskell" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Haskell</span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/Maxima" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Maxima</span></a></p>
José A. Alonso<p>Formalizing zeta and L-functions in Lean. ~ David Loeffler, Michael Stoll. <a href="https://arxiv.org/abs/2503.00959" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">arxiv.org/abs/2503.00959</span><span class="invisible"></span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p>Lean meta-theory: The proofs behind the proofs. ~ Mario Carneiro. <a href="https://www.youtube.com/live/YtbfIjgzNDI" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="">youtube.com/live/YtbfIjgzNDI</span><span class="invisible"></span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a></p>
José A. Alonso<p>Formalizing the divided power envelope in Lean. ~ María Inés de Frutos Fernández. <a href="https://www.youtube.com/live/R2t9ZRWiWEk" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="">youtube.com/live/R2t9ZRWiWEk</span><span class="invisible"></span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p>Common Lean pitfalls. ~ Niels Voss. <a href="https://github.com/nielsvoss/lean-pitfalls" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">github.com/nielsvoss/lean-pitf</span><span class="invisible">alls</span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a></p>
José A. Alonso<p>Sequencelib: A platform for formalizing in Lean 4 sequences from "The On-Line Encyclopedia of Integer Sequences" (OEIS). ~ Walter Moreira, Joe Stubbs. <a href="https://provables.github.io/sequencelib/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">provables.github.io/sequenceli</span><span class="invisible">b/</span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>