lean-applied-reasoning

Formalizes applied reasoning tasks into Lean 4 proof workflows and zettelkasten handoffs.

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

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes references (resource) components.

What problem does it solve?

Formalize applied reasoning tasks within Lean 4 workflows to bridge mathematical formalization with domain-specific decision-making.

Core Features & Use Cases

  • Broad applicability to intelligence analysis formalization, strategy formalization, brainstorming methodologies, and investigative reasoning.
  • Supports defined handoffs to review and enforcement stages and clear cross-skill coordination.
  • References a central handbook for deep domain guidance and integration with Lean-based proof workflows.

Quick Start

Load the lean-applied-reasoning skill in your Lean 4 workflow and consult references/lean-applied-reasoning-handbook.md for detailed usage.

Frequently Asked Questions about lean-applied-reasoning

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

FAQPage Schema
How do I formalize applied reasoning tasks in a Lean 4 proof workflow?

You can formalize applied reasoning in Lean 4 by loading this skill, which provides a modular workflow and a dispatch contract to bridge mathematical proofs with domain-specific decision-making.

What is strategy formalization and how does it work with Lean proofs?

Strategy formalization translates domain-specific strategies into structured Lean proofs. This skill provides modular workflows and cross-skill handoffs to connect strategic decision-making with formal verification stages.

Can I use Lean 4 for intelligence analysis formalization and investigative reasoning?

Yes, Lean 4 supports intelligence analysis formalization and investigative reasoning through this skill. It structures these applied reasoning tasks and provides defined handoffs to peer-review and enforcement stages.

How do I manage cross-skill handoffs for peer-review and enforcement stages?

Manage cross-skill handoffs using the skill's defined dispatch contract in SKILL.md. It structures handoffs from applied reasoning tasks directly to downstream peer-review and enforcement stages.

Do I need a zettelkasten to formalize brainstorming methodologies in Lean 4?

A zettelkasten is not strictly required but supported. The skill integrates with zettelkasten and Lean-based proof workflows to structure brainstorming methodologies and applied reasoning tasks effectively.