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.