leanprover-community/mathlib4
Jul 2025 – Mar 2026
6 Months active
Languages Used
MarkdownLean
Technical Skills
DocumentationGitAbstract AlgebraFormal VerificationOrder TheoryTheorem Proving
Lua Viana Reis
PROFILE
Lua Viana Reis
Over six months, Lua contributed to leanprover-community/mathlib4 by developing and refining formal mathematics infrastructure in Lean. Lua implemented new lemmas for ordered algebra, extended ergodic theory with semiconjugacy, and introduced an almost-everywhere version of the integral complement theorem, streamlining measure-theoretic proofs. Their work included refactoring probability measure code for correctness and maintainability, improving contributor workflows through documentation updates, and enhancing integration utilities for linear orders and Bochner integration. Lua’s technical approach emphasized formal verification, mathematical logic, and functional programming, resulting in robust, reusable proofs and clearer APIs that support faster formalization and more reliable downstream reasoning.
Overall Statistics
Feature vs Bugs
100%Features
Repository Contributions
9Total
Bugs
0
Commits
9
Features
6
Lines of code
208
Activity Months6
Your Network
301 peopleShared Repositories
301
Work History
March 2026
2 Commits • 1 Features
Mar 1, 2026March 2026 monthly summary for leanprover-community/mathlib4: Delivered core math library enhancements and improved integration utilities. Strengthened foundations for linear orders and Bochner integration, with emphasis on correctness, readability, and API consistency. No major bugs fixed this month; minor refactors and naming updates for clarity. Overall impact: more robust downstream proofs, faster formalization, and clearer APIs. Technologies demonstrated: Lean 4, mathlib4, formal verification, monotone convergence reasoning, and collaboration.
2 Commits • 1 Features
Mar 1, 2026March 2026 monthly summary for leanprover-community/mathlib4: Delivered core math library enhancements and improved integration utilities. Strengthened foundations for linear orders and Bochner integration, with emphasis on correctness, readability, and API consistency. No major bugs fixed this month; minor refactors and naming updates for clarity. Overall impact: more robust downstream proofs, faster formalization, and clearer APIs. Technologies demonstrated: Lean 4, mathlib4, formal verification, monotone convergence reasoning, and collaboration.
March 2026
January 2026
1 Commits • 1 Features
Jan 1, 2026Month 2026-01: Implemented a new a.e. version of the integral complement theorem (setIntegral_compl₀) and refactored the existing integral machinery to use it, improving clarity and usability of measure-theoretic integrals in mathlib4. The previous setIntegral_compl is now a direct application of setIntegral_compl₀, streamlining proofs and reducing duplication.
January 2026
1 Commits • 1 Features
Jan 1, 2026Month 2026-01: Implemented a new a.e. version of the integral complement theorem (setIntegral_compl₀) and refactored the existing integral machinery to use it, improving clarity and usability of measure-theoretic integrals in mathlib4. The previous setIntegral_compl is now a direct application of setIntegral_compl₀, streamlining proofs and reducing duplication.
November 2025
1 Commits • 1 Features
Nov 1, 2025In 2025-11, leanprover-community/mathlib4 delivered a focused advance in ergodic theory by extending ergodicity through semiconjugacy. The work adds a new theorem, enhancing the framework for measure-preserving transformations and enabling ergodic properties to be pushed along semiconjugate mappings. Implemented as a formalization under Dynamics/Ergodic, this contribution is tracked by commit 3f3cd98ce9404a7d52f8bb50cd5447678618d1b3 (feat(Dynamics/Ergodic): add `ergodic_of_ergodic_semiconj` (#31793)), which introduces MeasureTheory.MeasurePreserving.ergodic_of_ergodic_semiconj. Overall, this strengthens reusability of ergodic reasoning and sets a solid foundation for future semiconjugate dynamics formalizations.
1 Commits • 1 Features
Nov 1, 2025In 2025-11, leanprover-community/mathlib4 delivered a focused advance in ergodic theory by extending ergodicity through semiconjugacy. The work adds a new theorem, enhancing the framework for measure-preserving transformations and enabling ergodic properties to be pushed along semiconjugate mappings. Implemented as a formalization under Dynamics/Ergodic, this contribution is tracked by commit 3f3cd98ce9404a7d52f8bb50cd5447678618d1b3 (feat(Dynamics/Ergodic): add `ergodic_of_ergodic_semiconj` (#31793)), which introduces MeasureTheory.MeasurePreserving.ergodic_of_ergodic_semiconj. Overall, this strengthens reusability of ergodic reasoning and sets a solid foundation for future semiconjugate dynamics formalizations.
November 2025
October 2025
2 Commits • 1 Features
Oct 1, 2025Monthly summary for 2025-10: Implemented a Probability Measures Correctness and Maintainability Refactor in leanprover-community/mathlib4, introducing an implicit MeasurableSpace argument inferred from the measure/kernel to strengthen disintegration correctness and reduce redundancy. The refactor also reuses existing proofs for FiniteMeasure.map and ProbabilityMeasure.map, streamlining the codebase and easing future maintenance.
October 2025
2 Commits • 1 Features
Oct 1, 2025Monthly summary for 2025-10: Implemented a Probability Measures Correctness and Maintainability Refactor in leanprover-community/mathlib4, introducing an implicit MeasurableSpace argument inferred from the measure/kernel to strengthen disintegration correctness and reduce redundancy. The refactor also reuses existing proofs for FiniteMeasure.map and ProbabilityMeasure.map, streamlining the codebase and easing future maintenance.
August 2025
2 Commits • 1 Features
Aug 1, 2025Concise monthly summary for 2025-08 focused on mathlib4 contribution in ordered algebra: implemented new lemmas for partialSups with constants, organized changes to minimize imports, and prepared constant-based lemmas in a group context. This supports more robust algebraic reasoning and future enhancements.
2 Commits • 1 Features
Aug 1, 2025Concise monthly summary for 2025-08 focused on mathlib4 contribution in ordered algebra: implemented new lemmas for partialSups with constants, organized changes to minimize imports, and prepared constant-based lemmas in a group context. This supports more robust algebraic reasoning and future enhancements.
August 2025
July 2025
1 Commits • 1 Features
Jul 1, 2025Monthly performance summary for 2025-07 focusing on developer collaboration improvements in leanprover-community/mathlib4. Delivered changes enhance contributor attribution reliability and PR workflow clarity, supporting smoother collaboration and faster integration.
July 2025
1 Commits • 1 Features
Jul 1, 2025Monthly performance summary for 2025-07 focusing on developer collaboration improvements in leanprover-community/mathlib4. Delivered changes enhance contributor attribution reliability and PR workflow clarity, supporting smoother collaboration and faster integration.
Activity
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Quality Metrics
Correctness100.0%
Maintainability100.0%
Architecture100.0%
Performance100.0%
AI Usage20.0%
Skills & Technologies
Programming Languages
LeanMarkdown
Technical Skills
Abstract AlgebraDocumentationFormal VerificationGitLeanOrder TheoryTheorem Provingformal verificationfunctional programmingmathematical logicmathematical proofsmathematicsprobability theorytheorem proving
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