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lean4-theorem-proving

Automate Lean 4 proof organization, search, and repair workflows.

Updated Jan 15, 2026
Search Tags:#mathlib#lsp#lean#lean4#theorem-proving#proof-automation#type-class
One-click install
npx skills add https://github.com/KaiserWhoLearns/skillsbench --skill lean4-theorem-proving-kaiserwholearns
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: lean4-theorem-proving
Source: https://github.com/KaiserWhoLearns/skillsbench/tree/main/tasks/lean4-proof/environment/skills/lean4-theorem-proving
Command: npx skills add https://github.com/KaiserWhoLearns/skillsbench --skill lean4-theorem-proving-kaiserwholearns

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes references (resource) components.

What problem does it solve?

Lean4-theorem-proving workflows in large codebases can be brittle, require repeated searches, and suffer from fragmented proof development. This Skill provides structured, search-driven, and repair-oriented workflows to organize proofs, repair failing attempts, and maintain hygiene in mathlib-style projects.

Core Features & Use Cases

  • Structured workflows for search, repair, and decomposition of long proofs
  • LSP-assisted interactive development with compiler feedback and targeted suggestions
  • Domain-pattern guidance for Lean-specific challenges like sub-σ-algebras and type-class errors
  • Safety-focused practices for axiom-elimination, proof hygiene, and patch generation
  • Reusable patterns and automation hooks for repeated proof tasks

Quick Start

Initialize a Lean 4 project workspace and load the Lean theorem-proving skill to start interactive proof tasks.

Frequently Asked Questions about lean4-theorem-proving

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I automate Lean 4 theorem proving workflows in a large mathlib codebase?▼

Automate Lean 4 theorem proving workflows by integrating LSP-assisted development tools with compiler feedback to organize, search, and repair proofs in mathlib-style codebases.

What is the best way to decompose long proofs and search for lemmas in Lean 4?▼

Decompose long proofs and discover lemmas using structured, search-driven workflows that leverage LSP-assisted interactive development and targeted compiler suggestions.

How do I debug type-class errors and maintain proof hygiene in Lean 4 projects?▼

Debug type-class errors and maintain proof hygiene using domain-pattern guidance and safety-focused practices for axiom-elimination and patch generation in Lean 4 projects.

Can I use LSP interactive development to repair failing Lean 4 proofs?▼

Yes, you can use LSP-assisted interactive development with compiler feedback to repair failing Lean 4 proofs and maintain hygiene in scalable mathlib-style projects.

Does this approach to Lean 4 theorem proving require explicit dependencies and component tracking?▼

Yes, rigorous Lean 4 theorem proving automation requires explicit dependencies, component tracking, and safety checks to satisfy scalable tooling requirements in large codebases.

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