Machine-checked statistical learning theory in Lean 4: empirical-Bernstein and time-uniform PAC-Bayes, Markov risk, Rademacher/VC, and Dudley chaining.
The intent of this repository is to build a database of control theoretic proofs in lean.
MathTensor Lean 4 formalizations of Putnam 2025 problems, with machine-verified Mathlib proofs.
University Master Thesis
A complete navigation index for every one of Mathlib4's 9,150 modules — plain-English descriptions, systematic disambiguation of similarly named modules, and five deliverables: JSON, RAG export, Claude Skill, spreadsheet, and website.
Simplify arithmetic expressions of ENNReal numbers in Lean4
Formal verification of the logical incompatibility between the P=NP hypothesis and the Witten-Helffer-Sjöstrand tunneling theorems in spectral geometry. Implemented in Lean 4.
Formally verified MBSE framework in Lean 4 — dependent type semantics for SysML v2 / KerML with V&V matrix completeness by type checking
Formalised mathematics in Lean 4.
Kleene algebra, KAT, and relation algebra in Lean 4 / Mathlib, with completeness proofs and proof-producing tactics. Based on Damien Pous’s relation-algebra library.
APM-installable agent skills for Lean 4 and Mathlib4 — proof tactics, math domains, review and research workflows, generic tooling.
Retrieval-grounded reviewer-memory tool over closed-PR review history of leanprover-community/mathlib4. Indexes ~158k past reviewer comments across ~35k closed PRs to flag concerns past reviewers have raised before.
Lean 4 formalization of Gleason's theorem via Busch's effects formulation
Lean 4 formalizations of results from my research on graphs, networks, and the modulus of families of objects.
Lean 4 formalization of ord_{2^t}(3) = 2^{t-2} and supporting lemmas for Collatz analysis
Beal Conjecture Level 26: Gap-3 A^4+B^4=(B+3)^13 → Baker B0=10^6 unconditional | Lean4 Mathlib 4.12 83 modules v24.4.0 db7a556 DOI 10.5281/zenodo.22732209 → v25.0.0 wiring e823a52 f7bbdc5, Matveev 2000 Thm1.4 n=2 C1=143186215390 hGen ∀α1,α2>1 α2=B+3 + Bugeaud LLL hLLL → ∀B¬∃A, one sorry at 716 in beal-level-26-foundations 4bd15bd
Visualizer for mathlib library inspired in https://github.com/Crispher/MathlibExplorer . The idea is to connect each topic based on standard curricula to each file in mathlib so new code and math topics can be implemented faster.
Automated theorem generalization in Lean
A literature library for Lean4.
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