proof-checker

Verify LaTeX mathematical proofs and generate correction patch plans.

1|Updated Jul 21, 2026
One-click install
npx skills add https://github.com/dogekiki/SP-test --skill proof-checker-dogekiki
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: proof-checker
Source: https://github.com/dogekiki/SP-test/tree/main/.trae/skills/proof-checker
Command: npx skills add https://github.com/dogekiki/SP-test --skill proof-checker-dogekiki

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill addresses the high risk of logical errors, unjustified assertions, and hidden assumptions in complex mathematical proofs by providing an automated, cross-model adversarial review process.

Core Features & Use Cases

  • Cross-Model Adversarial Review: Uses a multi-tier reasoning backend to identify logical gaps, quantifier errors, and illegal interchanges in LaTeX proofs.
  • Proof-Obligation Ledger: Systematically tracks every theorem, lemma, and assumption to ensure all mathematical obligations are discharged.
  • Deep-Fix Workflow: Automatically generates precise LaTeX patch plans to resolve identified issues, followed by re-verification to ensure convergence.
  • Use Case: Use this when you need to verify a theory paper or a complex mathematical proof for correctness, ensuring that all steps are logically sound and all asymptotic claims are uniform.

Quick Start

Use the proof-checker skill to verify the mathematical proof contained in main.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 in LaTeX for logical gaps and errors?

Verify a LaTeX mathematical proof by applying cross-model adversarial review and a proof-obligation ledger to track theorems, ensuring all logical steps and asymptotic claims are uniformly sound and fully discharged.

What is a proof-obligation ledger and how does it help audit mathematics?

A proof-obligation ledger systematically tracks every theorem, lemma, and assumption during a mathematical audit to ensure all mathematical obligations are discharged and no hidden assumptions remain in the LaTeX document.

Can I automatically fix unjustified assertions and quantifier errors in theorem-heavy papers?

Automatically fix unjustified assertions and quantifier errors using a deep-fix workflow that generates precise LaTeX patch plans to resolve identified issues, followed by multi-round re-verification to ensure convergence.

Do I need external reasoning backends and file-editing tools to audit complex algorithmic proofs?

Auditing complex algorithmic proofs requires integration with external reasoning backends and file-editing tools to execute the multi-round adversarial review and automated correction cycles on your LaTeX documents.

What is the best way to check that asymptotic claims in a research paper are uniform?

Check asymptotic claims for uniformity by running a rigorous, multi-round mathematical proof verification that identifies illegal interchanges and quantifier errors within your LaTeX-based research papers.

When should I not use automated proof verification for my technical documentation?

Avoid automated proof verification when your technical documentation lacks theorem-heavy mathematical content or LaTeX formatting, as the adversarial review and obligation tracking require formal proof structures to function.