lean-math-foundations
CommunityFoundations for Lean 4 mathematics and proofs.
Education & Research#lean4#formalization#foundations#category-theory#mathlib4#typeuniverses#prop-type
Authorr-irbe
Version1.0.0
Installs0
System Documentation
What problem does it solve?
Provides foundational reasoning and patterns for Lean 4 formalization, including universe management, Prop/Type distinctions, and Mathlib's algebraic hierarchy, enabling robust foundational libraries.
Core Features & Use Cases
- Foundation patterns for Lean type system design (Prop/Type, universes, classical vs constructive choices) across mathematical domains.
- Guidance on using Mathlib's typeclass hierarchy (Group, Ring, Module, Category Theory basics) and domain conventions for scalable formalizations.
- Real-world workflows: structure a new formalization with clean universe levels and a coherent hierarchy, then share reusable components across projects.
Quick Start
Start by reading the foundational routing notes and references, then open a small Lean project to explore universe levels and Prop/Type distinctions.
Dependency Matrix
Required Modules
None requiredComponents
Standard package💻 Claude Code Installation
Recommended: Let Claude install automatically. Simply copy and paste the text below to Claude Code.
Please help me install this Skill: Name: lean-math-foundations Download link: https://github.com/r-irbe/proof-skills/archive/main.zip#lean-math-foundations Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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