proof-writer

Generate rigorous mathematical proofs for ML/AI theory claims.

14.4k|1.3k|Updated Mar 10, 2026
One-click install
npx skills add https://github.com/wanshuiyin/Auto-claude-code-research-in-sleep --skill proof-writer
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: proof-writer
Source: https://github.com/wanshuiyin/Auto-claude-code-research-in-sleep/tree/main/skills/proof-writer
Command: npx skills add https://github.com/wanshuiyin/Auto-claude-code-research-in-sleep --skill proof-writer

SYSTEM DOCUMENTATION & REQUIREMENTS

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

What problem does it solve?

This Skill automates the generation of rigorous mathematical proofs for theorems, lemmas, propositions, and corollaries, ensuring mathematical honesty and completeness.

Core Features & Use Cases

  • Formal Proof Generation: Writes complete, step-by-step proofs for mathematical claims.
  • Claim Verification: Assesses whether a claim is provable as stated, requires modifications, or is currently unjustified.
  • Use Case: When presented with a new theorem in an AI research paper, use this Skill to formally prove it, identify any missing assumptions, or formalize a provided proof sketch.

Quick Start

Use the proof-writer skill to write a proof for the following theorem statement 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 machine learning theory?

To write rigorous mathematical proofs for machine learning theory, you provide the theorem statement and assumptions to a proof generation tool. It then formalizes the argument step-by-step, validates claims against your assumptions, and identifies any missing steps required for mathematical honesty.

What is the best way to formalize a proof sketch for an AI research paper?

The best way to formalize a proof sketch is to use an automated proof generation tool that expands the sketch into complete arguments. It assesses whether the claim is provable as stated, identifies missing assumptions, and applies multiple proof strategies to ensure completeness.

Can I verify if a theorem is provable as stated before writing the full proof?

Yes, you can verify if a theorem is provable as stated by using claim verification features. This process assesses the mathematical claim against your stated assumptions, highlights any missing steps, and determines whether modifications are required for the proof to hold.

How do I generate lemmas and propositions for unstated assumptions in ML theory?

To generate lemmas and propositions for unstated assumptions in ML theory, you formalize the main theorem and let the proof writer identify missing dependencies. It automatically handles edge cases and generates the necessary intermediate mathematical claims to complete the proof.

Does automated theorem proving handle edge cases and missing steps in mathematical formalization?

Yes, automated theorem proving handles edge cases and missing steps in mathematical formalization by validating claims against stated assumptions. It ensures mathematical honesty by clearly stating dependencies and identifying necessary modifications when a proof sketch is incomplete.