proof-writer

Generate structured proof packages with dependency maps for ML/AI theorems.

Updated Apr 29, 2026
One-click install
npx skills add https://github.com/jkfee/Auto-Research --skill proof-writer-jkfee
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: proof-writer
Source: https://github.com/jkfee/Auto-Research/tree/main/skills/proof-writer
Command: npx skills add https://github.com/jkfee/Auto-Research --skill proof-writer-jkfee

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill helps researchers and AI agents construct rigorous mathematical proofs for ML/AI theory, identify gaps, and convert informal sketches into verifiable arguments.

Core Features & Use Cases

  • Generate complete, verifiable proofs for theorems, lemmas, propositions, and corollaries in ML/AI contexts.
  • Identify gaps, propose corrected statements, and supply step-by-step justifications.
  • Produce a formal proof package ready for review, including assumptions, notation, and a dependency map.

Quick Start

Provide a complete proof package for the given theorem and assumptions.

Frequently Asked Questions about proof-writer

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

FAQPage Schema
How do I write rigorous mathematical proofs for ML theory?

To write rigorous mathematical proofs for ML theory, provide exact claims, assumptions, and notation to generate a complete proof package with stepwise justifications and a dependency map ready for review.

What is the best way to validate an informal proof sketch for machine learning theorems?

Validating an informal proof sketch for ML theorems requires converting the sketch into verifiable arguments by identifying gaps, proposing corrected statements, and supplying stepwise justifications.

Can I generate corrected claims when my formal proof has logical gaps?

Yes, you can generate corrected claims when your formal proof has logical gaps by identifying missing steps and proposing corrected statements with the necessary stepwise justifications.

What do I need to provide to generate a complete formal proof package?

To generate a complete formal proof package, you must provide exact claims, assumptions, notation, and any informal sketch to output a structured document with a dependency map and stepwise justifications.

Does proof validation work for lemmas and corollaries in AI research?

Proof validation works for lemmas, propositions, and corollaries in AI research by automating rigorous theorem drafting across math-heavy AI topics to produce verifiable arguments from your assumptions.

When should I not use automated theorem drafting for ML/AI theory?

You should not use automated theorem drafting for ML/AI theory when you lack exact claims, assumptions, and notation, as the Skill requires these precise inputs to generate verifiable proof packages.