math-proof

What problem does it solve?

This Skill addresses the need for producing rigorous, step-by-step mathematical proofs suitable for academic papers, ensuring every step is justified and well-documented.

Core Features & Use Cases

• Step-by-Step Proofs: Generates detailed mathematical proofs, with every transition between steps fully justified.
• Explicit Sign Justification: Ensures every derivative and expression is immediately signed and explained, avoiding gaps for the reader.
• Proof Structure Guidelines: Provides guidelines for proof structure, including setup, numbered steps, connecting steps, edge cases, and QED.
• Common Patterns: Offers guidance on common proof patterns like differentiating ratios, signing logs, and applying the chain rule.
• Use Case: Ideal for researchers and students who need to produce clear, academic-quality proofs for publication or coursework.

Quick Start

To generate a proof, use the 'math-proof' skill with the phrase 'prove this result'.