proof-checker

Verify mathematical proofs in LaTeX documents and generate audit reports.

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

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill provides a rigorous workflow to verify mathematical proofs in LaTeX documents, identify gaps, fix them with full derivations, re-review, and generate an audit report.

Core Features & Use Cases

  • Cross-model adversarial review to detect gaps and inconsistencies in proofs.
  • Automatic generation of detailed micro-claims and audit logs.
  • End-to-end proof-audit workflow that produces a reproducible PROOF_AUDIT artifact for publication readiness.
  • Use cases include validating the correctness of research papers, lecture notes, and formal theses.

Quick Start

Feed your LaTeX proof (e.g., main.tex) to the workflow and start the end-to-end proof-audit process.

Frequently Asked Questions about proof-checker

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

FAQPage Schema
How do I verify mathematical proofs in LaTeX documents for missing hypotheses?

Verify mathematical proofs in LaTeX by running an adversarial cross-model review that identifies missing hypotheses, unverified steps, and improper interchanges. The workflow applies multiple review rounds to ensure rigorous validation and outputs a reproducible audit report.

What is cross-model review for mathematical proof checking?

Cross-model review for mathematical proof checking uses multiple configurable reviewer models to adversarially audit derivations. It enforces explicit hypothesis discharge and interchange auditing, including DCT, MCT, and Fubini, to detect gaps and inconsistencies across multiple rounds.

Can I use automated proof verification for lecture notes and formal theses?

Yes, automated proof verification applies directly to lecture notes, formal theses, and research papers. It generates traceable micro-claims and a PROOF_AUDIT artifact, ensuring publication readiness by validating correctness and fixing gaps with full derivations.

How do I audit improper interchanges like DCT or Fubini in research papers?

Audit improper interchanges like DCT or Fubini by applying an interchange auditing process that flags unverified steps in your LaTeX proofs. The workflow enforces explicit hypothesis discharge and generates detailed audit logs for reproducibility.

What is the best way to generate an audit report for LaTeX proofs?

Generate an audit report for LaTeX proofs by feeding your document into an end-to-end proof-audit workflow. It produces a reproducible PROOF_AUDIT artifact containing detailed micro-claims, audit logs, and reproducible LaTeX-ready outputs for publication readiness.