lean-proof-planning

Plan and pre-validate Lean 4 proof strategies before theorem proving.

Updated Mar 16, 2026
One-click install
npx skills add https://github.com/my04337/shapez2-in-lean --skill lean-proof-planning
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: lean-proof-planning
Source: https://github.com/my04337/shapez2-in-lean/tree/main/.github/skills/lean-proof-planning
Command: npx skills add https://github.com/my04337/shapez2-in-lean --skill lean-proof-planning

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Plan and pre-validate Lean 4 proof strategies before starting to prove theorems, reducing wasted effort on false assumptions and dead ends.

Core Features & Use Cases

  • Pre-proof strategy evaluation to identify potential dead ends.
  • Checklist-driven planning covering hypotheses, lemmas, and dependencies.
  • Quick-start prompts to guide proof development and risk checks.

Quick Start

Outline a Lean 4 proof plan for your current theorem, listing goals, lemmas, and potential counterexamples before you begin.

Frequently Asked Questions about lean-proof-planning

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

FAQPage Schema
How do I plan a Lean 4 proof strategy before writing the actual proof?

To plan a Lean 4 proof strategy, outline your theorem goals, list initial hypotheses, and create a concise checklist of lemmas and dependencies to pre-validate the approach before execution.

What is proof planning in formal verification and why is it needed?

Proof planning in formal verification is the process of pre-evaluating theorem proving strategies to identify potential dead ends, reducing wasted effort on false assumptions and invalid proof paths.

How do I avoid dead ends and false theorems when proving theorems in Lean 4?

Avoid dead ends in Lean 4 by using a checklist-driven planning approach that evaluates hypotheses, dependencies, and potential counterexamples to pre-validate the proof strategy before you begin.

What do I need to start pre-validating Lean 4 theorem proving strategies?

To start pre-validating Lean 4 theorem proving strategies, you need a clear proof goal, an initial hypothesis set, and a concise plan checklist covering lemmas and potential counterexamples.

Does checklist-driven proof planning work for any Lean 4 theorem?

Checklist-driven proof planning applies to Lean theorem proving sessions and strategy selection, requiring a clear goal and initial hypothesis set to effectively evaluate potential dead ends for any theorem.