formalizing-hard-theorems

What problem does it solve?

This skill helps users formalize theorems that are mathematically true but difficult to formalize directly, especially when proof search times out, the statement is large, or the proof needs helper lemmas, dependency research, or structured decomposition.

Core Features & Use Cases

• Structured workflow: Defines a repeatable process to break complex theorems into manageable lemmas and steps.
• Dependency-first strategy: Encourages dependency research to surface required results before formalization.
• Acorn-specific guidance: Provides workflow notes tailored for Acorn’s prover and tooling to improve proof success.
• Use Case: When a theorem is true but unwieldy, use this skill to plan, skeletonize, and assemble the full formal proof with helper lemmas and a clear import path.

Quick Start

Propose a formalization plan for the target theorem, including informal understanding, dependencies, and decomposition ideas.