proof-checker

Name: proof-checker
Availability: InStock
Author: lightrain-a

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

Updated May 20, 2026

Search Tags:#latex #research paper #proof verification #math auditing #counterexample testing #theorem repair #proof obligations

Ready to run

npx skills add https://github.com/lightrain-a/medtrace-aris --skill proof-checker-lightrain-a

💬 Prompt for ChatGPT / Claude Chat▼

Please help me install this Agent Skill.
Skill: proof-checker
Source: https://github.com/lightrain-a/medtrace-aris/tree/main/.vendor/aris/skills/proof-checker
Command: npx skills add https://github.com/lightrain-a/medtrace-aris --skill proof-checker-lightrain-a

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

It helps you rigorously validate a mathematical proof, locate hidden gaps or unjustified steps, and produce corrected, fully derived text plus an audit trail you can trust.

Core Features & Use Cases

Proof verification with adversarial review: Runs a cross-model audit to stress-test each theorem/lemma against rigorous proof-obligation rules.
Gap fixing with re-review loops: Automatically patches missing derivations or weakened claims, then re-checks until the proof converges to an acceptance gate.
Formal audit reporting for traceability: Produces a structured audit log (and a TeX report) that accounts for assumptions, dependencies, and limit/interchange justifications.

Quick Start

Use the proof-checker skill to check the proof in main.tex and generate an audit report, then fix any gaps it finds.

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 in a LaTeX research paper?▼

Proof verification for LaTeX research papers works by reading theorem statements, running a cross-model adversarial review to stress-test each derivation, and generating a formal audit ledger that identifies gaps and unjustified steps.

What is the best way to find counterexamples for unjustified steps in a theorem proof?▼

The best way to find counterexamples for unjustified steps is applying automated counterexample red-teaming, which stress-tests theorem proof obligations against rigorous rules to expose hidden gaps and flag unjustified mathematical claims.

How do I repair missing derivations and fix gaps in a mathematical proof?▼

To repair missing derivations and fix gaps in a mathematical proof, use an automated gap-fixing workflow that rewrites missing steps with full derivations and re-checks them in iterative re-review loops until the proof converges to an acceptance gate.

Can I generate a formal audit report for proof obligations and limit justifications in LaTeX?▼

Yes, you can generate a formal audit report for proof obligations by producing a structured audit log and a TeX report that documents assumptions, dependencies, and limit or interchange justifications to ensure full traceability.

Does automated theorem repair work for hypothesis discharge and interchange justification?▼

Automated theorem repair works for hypothesis discharge and interchange justification by applying rigorous proof-obligation rules to verify these specific tasks, patching weakened claims, and re-checking them until the proof converges to an acceptance gate.

When should I not use an automated proof checker for my research paper?▼

You should not use an automated proof checker when your research paper lacks formal LaTeX theorem statements, as the verification workflow requires structured theorem and lemma inputs to identify gaps and generate an audit ledger.