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Elias Judin

PROFILE

Elias Judin

Over three months, contributed to leanprover-community/mathlib4 by generalizing the MvPolynomial API to support arbitrary uniquely inhabited index types, broadening its algebraic applicability. This involved extending equivalence constructs, introducing migration paths, and maintaining backward compatibility through deprecated aliases. Developed new coefficient identification lemmas to strengthen reasoning about multivariable polynomials under algebraic equivalence, enhancing proof automation and robustness. Further work established API parity between multivariate and univariate polynomial evaluation, enabling consistent semantics and smoother cross-module reuse. All contributions were implemented in Lean, leveraging skills in algebraic geometry, formal verification, and type theory to improve the reliability and extensibility of the library.

Overall Statistics

Feature vs Bugs

100%Features

Repository Contributions

3Total
Bugs
0
Commits
3
Features
3
Lines of code
186
Activity Months3

Your Network

315 people

Work History

July 2026

1 Commits • 1 Features

Jul 1, 2026

July 2026 monthly summary focusing on key delivery and impact for leanprover-community/mathlib4. The primary work this month was delivering API parity between the multivariate polynomial API and the existing univariate polynomial API, along with parity lemmas to support consistent semantics across modules.

May 2026

1 Commits • 1 Features

May 1, 2026

May 2026 monthly summary for leanprover-community/mathlib4: Focused feature delivery in polynomial algebra under algebraic equivalence. Implemented coefficient identification lemmas to support uniqueAlgEquiv, strengthening coefficient reasoning in multivariable polynomials and enabling more robust algebraic proofs.

April 2026

1 Commits • 1 Features

Apr 1, 2026

April 2026 monthly work summary for leanprover-community/mathlib4. Focused on expanding the MvPolynomial API to support arbitrary index types and prepared a migration path. Generalized pUnitAlgEquiv to uniqueAlgEquiv for any uniquely inhabited index type, preserving backward-compatible aliases. Added autoformalised proofs via Aristotle-Harmonic. Initiated downstream migration plans and documented rationale. The change broadens applicability of the equivalence MvPolynomial σ R ≃ₐ[R] R[X], enabling more generic usages and smoother future extensions.

Activity

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Quality Metrics

Correctness100.0%
Maintainability100.0%
Architecture100.0%
Performance100.0%
AI Usage46.6%

Skills & Technologies

Programming Languages

Lean

Technical Skills

Algebraic GeometryFormal VerificationLeanalgebraformal verificationfunctional programmingmathematical proofsmathematicstheorem provingtype theory

Repositories Contributed To

1 repo

Overview of all repositories you've contributed to across your timeline

leanprover-community/mathlib4

Apr 2026 Jul 2026
3 Months active

Languages Used

Lean

Technical Skills

algebrafunctional programmingmathematical proofstype theoryformal verificationmathematics