math-strategy-studio

Frame strategic questions and surface candidate proof approaches for Lean 4 formalization.

2|Updated May 26, 2026
One-click install
npx skills add https://github.com/r-irbe/proof-skills --skill math-strategy-studio
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: math-strategy-studio
Source: https://github.com/r-irbe/proof-skills/tree/main/skills/math-strategy-studio
Command: npx skills add https://github.com/r-irbe/proof-skills --skill math-strategy-studio

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes references (resource) components.

What problem does it solve?

Creative mathematical thinking and proof strategy design for Lean 4 formalization.

Core Features & Use Cases

  • Frame strategy questions: define the problem, constraints, and goals for a Lean formalization.
  • Surface candidate strategies: generate 3–5 approach options, compare strengths and risks.
  • Handoffs and integration: route work to lean-specification, research-council, and lean-zettelkasten for execution and vetting.

Quick Start

Frame the strategy question, select a matching method from the body, and surface three to five candidate strategies for evaluation.

Frequently Asked Questions about math-strategy-studio

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

FAQPage Schema
How do I design a proof strategy for Lean 4 formalization?

Brainstorming proof approaches for Lean 4 involves framing strategic questions, selecting matching methods, and surfacing three to five candidate strategies for evaluation. This process helps generate and compare potential formalization methods before execution.

What should I do when standard Lean 4 tactics fail during formalization?

When standard Lean 4 tactics fail, apply a structured strategy brainstorming workflow to the formalization challenge to frame the problem and surface alternative candidate approaches. This method helps bypass standard tactic limitations by exploring novel or cross-domain connections.

How does the proof design workflow handle handoffs to other tools?

The proof design workflow handles handoffs by routing work to lean-specification, research-council, and lean-zettelkasten for execution and vetting. This integration supports structured knowledge management after candidate strategies are scored and selected.

Can I use this approach for cross-domain mathematical connections in Lean?

Yes, you can apply this strategy design process to cross-domain connections in Lean 4. It specifically supports framing strategic questions and surfacing candidate approaches when dealing with novel formalization challenges spanning multiple mathematical domains.

Do I need a Zettelkasten setup to brainstorm Lean proof strategies?

You do not need a Zettelkasten setup to brainstorm Lean proof strategies initially. The workflow routes to lean-zettelkasten during the handoff phase for knowledge management, but the core framing and candidate generation steps proceed independently.