lean-monad-proofs

Optimize Lean 4 proofs involving monads and do-notation.

1|Updated Apr 14, 2026

Search Tags:#formal verification #proofs #monads #Lean 4 #do-notation

Ready to run

npx skills add https://github.com/fmhall/lean-png --skill lean-monad-proofs-fmhall

💬 Prompt for ChatGPT / Claude Chat▼

Please help me install this Agent Skill.
Skill: lean-monad-proofs
Source: https://github.com/fmhall/lean-png/tree/main/.claude/skills/lean-monad-proofs
Command: npx skills add https://github.com/fmhall/lean-png --skill lean-monad-proofs-fmhall

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill addresses the complexities of Lean 4 proofs, providing optimized patterns and techniques to handle monads, do-notation, and more, saving time and reducing errors.

Core Features & Use Cases

Expert Patterns: Offers advanced proof patterns for monads, do-notation, and other Lean 4 constructs.
Optimizations: Includes techniques for simplifying and speeding up proofs.
Use Case: For instance, when proving properties of a function involving the Option or Except monad, this Skill provides optimized approaches to handle these cases efficiently.

Quick Start

Use the lean-monad-proofs skill to simplify and prove a property of a function using monadic constructs in Lean 4.

Frequently Asked Questions about lean-monad-proofs

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

FAQPage Schema

How do I prove properties of functions using the Option or Except monad in Lean 4?▼

Proving properties of Lean 4 functions using the Option or Except monad requires applying expert proof patterns and optimizations to handle monadic constructs and do-notation efficiently.

What are the best patterns for simplifying Lean 4 formal verification proofs?▼

The best patterns for simplifying Lean 4 formal verification proofs involve using expert-level optimizations designed for monads and do-notation, which reduce errors and save proof development time.

Why are my Lean 4 proofs failing when working with complex monadic do-notation?▼

Lean 4 proofs often fail with complex monadic do-notation due to lack of optimized proof techniques; applying expert patterns specifically designed for these constructs resolves errors and simplifies verification.

Do I need prior knowledge of monadic operations to use Lean 4 for mathematical proofs?▼

Yes, you need existing knowledge of Lean 4's proof system and monadic operations to effectively apply the advanced proof patterns and optimizations required for formal verification.

Can I optimize formal verification workflows in Lean 4 without manual proof rewriting?▼

You can optimize formal verification workflows in Lean 4 by applying specialized expert patterns for monads and do-notation, reducing the need for extensive manual proof rewriting and minimizing errors.