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.