proof-checker

Audit LaTeX mathematical proofs for logical gaps and generate issue reports.

27|3|Updated Apr 9, 2026
One-click install
npx skills add https://github.com/sjtuytc/ResearchMathAgent --skill proof-checker-sjtuytc
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: proof-checker
Source: https://github.com/sjtuytc/ResearchMathAgent/tree/main/.claude/skills/proof-checker
Command: npx skills add https://github.com/sjtuytc/ResearchMathAgent --skill proof-checker-sjtuytc

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill helps researchers detect hidden gaps, invalid assumptions, and unsupported steps in mathematical proofs by applying a structured adversarial verification workflow instead of relying on informal review.

Core Features & Use Cases

  • Cross-Model Proof Review: Coordinates rigorous proof checking with external reviewer backends, issue classification, and multi-round verification.
  • Proof Repair Workflow: Identifies proof obligations, proposes mathematical fixes, tracks changes, and validates whether critical gaps are closed.
  • Use Case: A researcher preparing a theory paper can use this Skill to audit a LaTeX proof, locate weak arguments, generate an issue report, and guide revisions toward a fully justified result.

Quick Start

Use the proof-checker skill to rigorously verify the proof in my LaTeX file and generate a detailed audit report.

Frequently Asked Questions about proof-checker

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

FAQPage Schema
How do I verify a mathematical proof for logical gaps and unsupported assumptions?

To verify a mathematical proof for logical gaps, you can use a structured adversarial verification workflow that identifies invalid derivations and unsupported assumptions. This process applies formal proof auditing to detect hidden weaknesses instead of relying on informal review.

Can I check and repair LaTeX proofs for my theory paper automatically?

Yes, you can check and repair LaTeX proofs by running a proof repair workflow that identifies proof obligations, proposes mathematical fixes, and validates whether critical gaps are closed. It generates an issue report to guide your theory paper revisions.

What is cross-model proof review and how does it work for theorem verification?

Cross-model proof review coordinates rigorous theorem verification with external reviewer backends. It works by classifying identified issues and executing multi-round verification to ensure mathematical derivations are fully justified and logically sound.

How do I audit a mathematical proof and generate a formal audit artifact?

You audit a mathematical proof by applying structured issue tracking and cross-model review coordination to locate weak arguments. This generates a formal audit artifact that details unsupported steps and tracks changes toward a fully justified result.

Does adversarial proof review work for research mathematics and theorem proving?

Adversarial proof review works effectively for research mathematics and theorem proving by applying a structured verification workflow. It rigorously detects hidden gaps and invalid derivations that informal peer review might typically miss.

What is the best way to fix invalid derivations found during proof verification?

The best way to fix invalid derivations found during proof verification is to follow a proof repair workflow that proposes mathematical fixes and tracks changes. It validates whether these repairs successfully close the critical gaps in your proof.