proof-checker

Verify and repair LaTeX mathematical proofs with cross-model adversarial review and audit reports.

Updated May 29, 2026
One-click install
npx skills add https://github.com/Mang30/myskills --skill proof-checker-mang30
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: proof-checker
Source: https://github.com/Mang30/myskills/tree/main/skills/proof-checker
Command: npx skills add https://github.com/Mang30/myskills --skill proof-checker-mang30

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

It helps you rigorously verify a mathematical proof, detect gaps and hidden assumptions, and produce corrected derivations with an explicit audit record you can trust.

Core Features & Use Cases

  • Cross-model proof verification: Reviews the full LaTeX proof to find logical, analytical, and parameter-tracking issues.
  • Gap fixing with re-review loops: Fixes each identified gap (optionally with deep-fix) and re-checks until the workflow converges.
  • Proof-obligation accounting: Builds an obligation ledger (dependency DAG, assumption ledger, symbol/type table, quantifier/limit-order maps) and emits a detailed audit report.
  • Objective acceptance gate: Uses a structured, requirement-based pass/fail criterion (fatal/critical issue counts, hypothesis discharge, interchange legality, counterexample pass).

Quick Start

Use the proof-checker skill to check and fix a LaTeX proof by running proof-checker on your paper’s main .tex file.

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 LaTeX mathematical proof for logical gaps and hidden assumptions?

Verify a LaTeX mathematical proof by running cross-model adversarial review to detect logical gaps, check hypothesis discharge, and generate full derivations for missing steps, producing a corrected proof with an audit trail.

What is proof-obligation accounting and how does it help with mathematical auditing?

Proof-obligation accounting builds a dependency DAG, assumption ledger, and symbol/type table to track quantifier and limit-order maps, ensuring uniformity and parameter dependence tracking throughout the mathematical auditing process.

Can I automatically fix gaps in a theory paper proof and re-check the corrections?

Yes, you can fix gaps in a theory paper proof using deep-fix iterations that generate complete derivations for each issue and re-check corrections until the verification workflow converges and passes acceptance gates.

Does the proof verification process support counterexample red-teaming and interchange audits?

Yes, the proof verification process supports counterexample red-teaming and interchange audits by enforcing objective acceptance gates that check interchange legality, limit-order maps, and fatal or critical issue counts to ensure proof validity.

What are the limitations of automated proof checking for complex mathematical derivations?

Automated proof checking for complex mathematical derivations requires a structured LaTeX .tex file input and relies on iterative deep-fix convergence, meaning unresolved fatal or critical issues will halt the acceptance gate and prevent validation.