EXCEEDS logo
Exceeds
dhyan-aranha

PROFILE

Dhyan-aranha

Dhyan Aranha developed formal geometry and combinatorics modules for the FormalBook repository, focusing on rigorous mathematical proof and code maintainability. Over four months, Dhyan formalized rainbow colorings and triangle properties in Lean, implemented a painter function mapping points in R² to colors under valuation constraints, and proved key lemmas such as bounded_det. The work included upgrading the Lean toolchain, integrating mathlib dependencies, and refactoring proofs for clarity and modularity. By resolving all placeholder proofs and maintaining repository hygiene, Dhyan ensured reproducible builds and robust formal verification workflows, demonstrating depth in Lean theorem proving, environment management, and mathematical formalization.

Overall Statistics

Feature vs Bugs

78%Features

Repository Contributions

23Total
Bugs
2
Commits
23
Features
7
Lines of code
3,725
Activity Months4

Work History

February 2025

3 Commits • 1 Features

Feb 1, 2025

Concise monthly summary for 2025-02 focusing on delivered features, fixed bugs, impact, and skills demonstrated for the dhyan-aranha/FormalBook project.

January 2025

10 Commits • 4 Features

Jan 1, 2025

Month 2025-01 focused on modernization, robustness, and maintainability of the FormalBook project, delivering key features, fixes, and foundational groundwork for future geometry formalization. The work emphasizes business value through dependency health, clearer proofs, and modularization that supports ongoing development and onboarding.

December 2024

2 Commits • 1 Features

Dec 1, 2024

December 2024 monthly summary for dhyan-aranha/FormalBook: Focused on tooling stability, formal correctness, and reproducible builds. Delivered a Lean toolchain upgrade and completed critical proofs to strengthen the reliability and maintainability of the formalization, with clear business value in reduced risk and faster onboarding.

November 2024

8 Commits • 1 Features

Nov 1, 2024

In November 2024, the FormalBook project delivered a formal Lean formalization of rainbow colorings, added new structures for rainbow triangles, completed previously placeholder proofs, and improved repository hygiene. Highlights include defining Rainbow color type, a painter function mapping R^2 points to Red/Green/Blue under valuation conditions, establishing valuation bounds, proving that a line segment cannot contain three points of the same color, and introducing main lemma bounded_det. Two new files Rainbow_triangles.lean and rainbow_triangles definitions were added, with refactorings to replace all placeholders with actual lemmas. All outstanding 'sorry' placeholders were resolved. The work demonstrates end-to-end formal verification, modular design, and groundwork for broader combinatorial geometry formalization.

Activity

Loading activity data...

Quality Metrics

Correctness92.2%
Maintainability86.2%
Architecture83.4%
Performance82.6%
AI Usage20.0%

Skills & Technologies

Programming Languages

Lean

Technical Skills

DocumentationEnvironment ManagementFormal VerificationGeometryLean Theorem ProverLinear AlgebraMathematical FormalizationMathematical ProofMathematical ProofsSet TheoryTheorem ProvingToolchain Configuration

Repositories Contributed To

1 repo

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

dhyan-aranha/FormalBook

Nov 2024 Feb 2025
4 Months active

Languages Used

Lean

Technical Skills

DocumentationFormal VerificationLean Theorem ProverMathematical ProofMathematical ProofsEnvironment Management

Generated by Exceeds AIThis report is designed for sharing and indexing