proof-checker

Verify LaTeX mathematical proofs, fix gaps, and generate audit reports.

Updated Jul 6, 2026
One-click install
npx skills add https://github.com/caw111/2026-SoftwareCup --skill proof-checker-caw111
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: proof-checker
Source: https://github.com/caw111/2026-SoftwareCup/tree/main/.agents/skills/proof-checker
Command: npx skills add https://github.com/caw111/2026-SoftwareCup --skill proof-checker-caw111

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill requires python, numpy, sympy, matplotlib, and includes scripts (resource) and references (resource) and assets (resource) components.

What problem does it solve?

This Skill automates the process of verifying and fixing rigorous mathematical proofs, significantly reducing the time and effort required for such tasks.

Core Features & Use Cases

  • Proof Verification: Systematically verify mathematical proofs using cross-model adversarial review.
  • Gap Identification: Identify gaps in the proof through detailed analysis and review.
  • Fix Implementation: Implement fixes for identified gaps with full derivations and re-reviews.
  • Audit Report Generation: Generate detailed audit reports with proof-obligation accounting.
  • Use Case: Ideal for researchers, educators, and professionals working on complex mathematical papers where rigorous proof verification is essential.

Quick Start

To check a proof, use the proof-checker skill with the path to your LaTeX proof file: 'proof-checker path/to/proof.tex'.

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 written in LaTeX?

To verify a LaTeX mathematical proof, you need an automated proof checker that parses the file, identifies logical gaps, and generates an audit report. This process systematically cross-reviews derivations to ensure rigorous validation of your work.

Can I automatically fix gaps identified during mathematical proof verification?

Yes, automated proof fixing can identify gaps in your mathematical proof and implement fixes with full derivations. After fixing, the system re-reviews the corrected steps to ensure logical consistency before finalizing the output.

Do I need Python to run a LaTeX proof checker?

Yes, Python is required for LaTeX proof checking because it uses libraries like numpy and sympy to parse mathematical syntax and perform symbolic analysis. These dependencies are essential for validating complex algebraic derivations.

What is cross-model adversarial review in mathematical proof checking?

Cross-model adversarial review in mathematical proof checking is a verification mechanism where multiple models challenge the logical steps of a proof. This process identifies hidden gaps and strengthens the rigor of the final audit report.

How do I generate a proof-obligation audit report for a complex mathematical paper?

To generate a proof-obligation audit report, use an automated proof checker that processes your LaTeX file and accounts for every logical step. The resulting document details verified steps, identified gaps, and applied fixes with full derivations.

What are the limitations of automated proof checking for mathematical papers?

Automated proof checking for mathematical papers is limited by its dependency on Python-based symbolic parsing and the clarity of the LaTeX input. Highly ambiguous proofs or non-standard notation may require manual review despite automated gap identification.