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Lean proof assistant

Skill a5c-ai/babysitter/library/specializations/domains/science/mathematics/skills/lean-proof-assistant

Interface with Lean 4 proof assistant for formal theorem verificationFrom its SKILL.md

Install
npx -y skills add a5c-ai/babysitter --skill lean-proof-assistant

Assembled from the repository path, not quoted from the project. Check it against their README if it does not work.

SKILL.md

1.4 KB, 180 tokens by cl100k_base, as published. Nobody here has run it

Lean Proof Assistant

Purpose

Provides expert guidance on using the Lean 4 proof assistant for formal theorem verification and mathematical formalization.

Capabilities

  • Parse informal proofs into Lean 4 syntax
  • Generate tactic-based proof scripts
  • Access Mathlib4 library for standard results
  • Automated term rewriting and simplification
  • Generate proof outlines with sorry placeholders
  • Extract executable code from proofs

Usage Guidelines

  1. Proof Development: Use Lean 4 syntax with Mathlib4 conventions
  2. Tactic Application: Apply tactics systematically (intro, apply, exact, rw)
  3. Library Navigation: Search Mathlib4 for existing lemmas and theorems
  4. Proof Completion: Fill sorry placeholders incrementally

Tools/Libraries

  • Lean 4
  • Mathlib4
  • Lake build system
  • VS Code Lean extension

What ships with it

Read from the repository

Just SKILL.md. No reference files, no scripts.

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