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José A. Alonso<p>Readings shared April 21, 2025. <a href="https://jaalonso.github.io/vestigium/posts/2025/04/21-readings_shared_04-21-25" 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/2025/04/21-readings_shared_04-21-25</span></a> <a href="https://mathstodon.xyz/tags/CommonLisp" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CommonLisp</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></p>
José A. Alonso<p>Non-circular trigonometric proofs of the pythagorean theorem in Lean4: A comparison. ~ Paul Pajo. <a href="https://www.researchgate.net/publication/390875819_Non-Circular_Trigonometric_Proofs_of_the_Pythagorean_Theorem_in_Lean4_A_Comparison" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">researchgate.net/publication/3</span><span class="invisible">90875819_Non-Circular_Trigonometric_Proofs_of_the_Pythagorean_Theorem_in_Lean4_A_Comparison</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>Enhancing AI trustworthiness through automated reasoning: A novel method for explaining deep learning and LLM reasoning. ~ Julia Connolly, Oliver Stanton, Sarah Veronica, Liam Whitmore. <a href="https://www.researchgate.net/publication/390844466_Enhancing_AI_Trustworthiness_Through_Automated_Reasoning_A_Novel_Method_for_Explaining_Deep_Learning_and_LLM_Reasoning" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">researchgate.net/publication/3</span><span class="invisible">90844466_Enhancing_AI_Trustworthiness_Through_Automated_Reasoning_A_Novel_Method_for_Explaining_Deep_Learning_and_LLM_Reasoning</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/Reasoning" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Reasoning</span></a> <a href="https://mathstodon.xyz/tags/ITP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITP</span></a></p>
José A. Alonso<p>A formalisation of Aristotle’s assertoric syllogistic in Isabelle/HOL. ~ Angeliki Koutsoukou-Argyraki, Karol Wapniarski. <a href="https://link.springer.com/article/10.1007/s11245-025-10184-6" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">link.springer.com/article/10.1</span><span class="invisible">007/s11245-025-10184-6</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/Logic" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Logic</span></a></p>
José A. Alonso<p>Readings shared April 19, 2025. <a href="https://jaalonso.github.io/vestigium/posts/2025/04/19-readings_shared_04-19-25" 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/2025/04/19-readings_shared_04-19-25</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/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/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/Python" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Python</span></a> <a href="https://mathstodon.xyz/tags/SMT" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>SMT</span></a> <a href="https://mathstodon.xyz/tags/Z3" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Z3</span></a></p>
José A. Alonso<p>Neural theorem proving tutorial. ~ Sean Welleck. <a href="https://github.com/wellecks/ntptutorial" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">github.com/wellecks/ntptutoria</span><span class="invisible">l</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/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>Knuckledragger: A low barrier proof assistant. ~ Philip Zucker. <a href="https://github.com/philzook58/knuckledragger" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">github.com/philzook58/knuckled</span><span class="invisible">ragger</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/SMT" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>SMT</span></a> <a href="https://mathstodon.xyz/tags/Z3" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Z3</span></a> <a href="https://mathstodon.xyz/tags/Python" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Python</span></a></p>
José A. Alonso<p>Readings shared April 17, 2025. <a href="https://jaalonso.github.io/vestigium/posts/2025/04/17-readings_shared_04-17-25" 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/2025/04/17-readings_shared_04-17-25</span></a> <a href="https://mathstodon.xyz/tags/Agda" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Agda</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></p>
José A. Alonso<p>A readable and computable formalization of the Streamlet consensus protocol. ~ Mauro Jaskelioff, Orestis Melkonian, James Chapman. <a href="https://omelkonian.github.io/data/publications/formal-streamlet.pdf" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">omelkonian.github.io/data/publ</span><span class="invisible">ications/formal-streamlet.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/Agda" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Agda</span></a></p>
José A. Alonso<p>Formalization of Fraïssé limits in Lean. ~ Gabin Kolly. <a href="https://www.math.uni-bonn.de/people/phierony/Kolly.pdf" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">math.uni-bonn.de/people/phiero</span><span class="invisible">ny/Kolly.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/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p>Readings shared April 15, 2025. <a href="https://jaalonso.github.io/vestigium/posts/2025/04/15-readings_shared_04-15-25" 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/2025/04/15-readings_shared_04-15-25</span></a> <a href="https://mathstodon.xyz/tags/CommonLisp" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CommonLisp</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/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/Lisp" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Lisp</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/Programming" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Programming</span></a> <a href="https://mathstodon.xyz/tags/RacketLang" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>RacketLang</span></a></p>
José A. Alonso<p>Simplified and verified: A second look at a proof-producing union-find algorithm. ~ Lukas Stevens, Rebecca Ghidini. <a href="https://arxiv.org/abs/2504.10246" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">arxiv.org/abs/2504.10246</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/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a></p>
José A. Alonso<p>Proof terms for term rewriting (in Isabelle/HOL). ~ Christina Kirk. <a href="https://www.isa-afp.org/entries/Proof_Terms_Term_Rewriting.html" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">isa-afp.org/entries/Proof_Term</span><span class="invisible">s_Term_Rewriting.html</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></p>
José A. Alonso<p>First-order rewriting (in Isabelle/HOL). ~ René Thiemann et als. <a href="https://www.isa-afp.org/entries/First_Order_Rewriting.html" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">isa-afp.org/entries/First_Orde</span><span class="invisible">r_Rewriting.html</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></p>
José A. Alonso<p>The Kolmogorov-Chentsov theorem (in Isabelle/HOL). ~ Christian Pardillo-Laursen, Simon Foster. <a href="https://www.isa-afp.org/entries/Kolmogorov_Chentsov.html" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">isa-afp.org/entries/Kolmogorov</span><span class="invisible">_Chentsov.html</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/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p>Readings shared April 13, 2025. <a href="https://jaalonso.github.io/vestigium/posts/2025/04/13-readings_shared_04-13-25" 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/2025/04/13-readings_shared_04-13-25</span></a> <a href="https://mathstodon.xyz/tags/AI" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>AI</span></a> <a href="https://mathstodon.xyz/tags/ATP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ATP</span></a> <a href="https://mathstodon.xyz/tags/Coq" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Coq</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/Mace4" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mace4</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/Prover9" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Prover9</span></a> <a href="https://mathstodon.xyz/tags/SetTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>SetTheory</span></a></p>
José A. Alonso<p>Efficient formal verification of quantum error correcting programs. ~ Qifan Huang, Li Zhou, Wang Fang, Mengyu Zhao, Mingsheng Ying. <a href="https://arxiv.org/abs/2504.07732" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">arxiv.org/abs/2504.07732</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/Coq" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Coq</span></a></p>
José A. Alonso<p>Completeness of decreasing diagrams for the least uncountable cardinality (in Isabelle/HOL). ~ Ievgen Ivanov. <a href="https://www.isa-afp.org/entries/Completeness_Decreasing_Diagrams_for_N1.html" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">isa-afp.org/entries/Completene</span><span class="invisible">ss_Decreasing_Diagrams_for_N1.html</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/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/SetTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>SetTheory</span></a></p>
José A. Alonso<p>Readings shared April 11, 2025. <a href="https://jaalonso.github.io/vestigium/posts/2025/04/11-readings_shared_04-11-25" 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/2025/04/11-readings_shared_04-11-25</span></a> <a href="https://mathstodon.xyz/tags/Agda" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Agda</span></a> <a href="https://mathstodon.xyz/tags/Coq" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Coq</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/Hakell" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Hakell</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/Rocq" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Rocq</span></a> <a href="https://mathstodon.xyz/tags/SetTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>SetTheory</span></a></p>
José A. Alonso<p>A comparative review of ZFC, NBG, and MK axiom systems: Theoretical foundations and formalization in Coq. ~ Si Chen, Wensheng Yu. <a href="https://www.preprints.org/manuscript/202504.0684/v1" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">preprints.org/manuscript/20250</span><span class="invisible">4.0684/v1</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/Coq" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Coq</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/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/SetTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>SetTheory</span></a></p>