Lean Proof Assistant

Interface with Lean 4 proof assistant for formal theorem verification

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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

a5c-ai/babysitter/tree/main/library/specializations/domains/science/mathematics/skills/lean-proof-assistant commit 6b8cd7806d

Frequently asked questions

npx skillmds@latest add a5c-ai/lean-proof-assistant