proof-checker

Verify and repair LaTeX mathematical proofs with audit reports.

2|1|Updated Apr 19, 2026
One-click install
npx skills add https://github.com/raja21068/AutoResearch --skill proof-checker-raja21068
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: proof-checker
Source: https://github.com/raja21068/AutoResearch/tree/main/skills/aris/proof-checker
Command: npx skills add https://github.com/raja21068/AutoResearch --skill proof-checker-raja21068

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

It solves the problem of unreliable or incomplete mathematical writing by rigorously checking whether every step in a LaTeX proof is justified under the stated assumptions, then repairing any gaps.

Core Features & Use Cases

  • Proof verification with proof-obligation accounting: Builds a dependency and obligation ledger (definitions, hypothesis discharge, inequality/interchange audits, and uniformity checks) to ensure each theorem/lemma is actually supported.
  • Cross-model adversarial review: Uses a Codex-backed reviewer to identify logic gaps, illegitimate interchanges (limits/expectations/integrals/derivatives), missing domination/integrability, and scope/quantifier errors.
  • Gap fixing and audit reporting: Fixes issues (with optional deep-fix plans), re-reviews until convergence, and generates a detailed audit report including before/after logic.

Use case examples:

  • When writing a theory paper, use it to validate that a main theorem’s quantifiers, big-O/Θ rates, and case coverage are correct.
  • When a collaborator claims a result is “standard” or “follows immediately,” use it to force micro-claim–level justification and prevent hidden assumptions.
  • When experimenting with asymptotic bounds, use it to detect missing parameter dependence and unclear uniformity scope.

Quick Start

Use the proof-checker skill to check and repair the proof in your LaTeX file by providing the path to the .tex file containing the proof.

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 logic gaps and missing hypothesis discharge?

To verify a LaTeX mathematical proof, you can use a proof-checker to read the source, build an obligation ledger, and cross-review for missing hypothesis discharge, quantifier errors, and illegitimate interchanges before generating a formal audit report.

What is proof-obligation accounting and how does it check asymptotic reasoning in theory papers?

Proof-obligation accounting is a verification mechanism that builds a dependency ledger to ensure each theorem is supported, checking asymptotic reasoning by tracking parameter dependence and uniformity scope to prevent hidden assumptions in theory papers.

Can I detect illegitimate interchanges of limits and expectations in a LaTeX proof?

Yes, you can detect illegitimate interchanges of limits, expectations, integrals, and derivatives by running an adversarial cross-model review that identifies missing domination or integrability conditions within your LaTeX proof.

How do I fix missing uniformity scope and quantifier errors in mathematical proofs?

You can fix missing uniformity scope and quantifier errors by applying iterative gap-fixing plans that re-review the mathematical proof until convergence, outputting a re-checked fixed proof with before/after logic documentation.

Does this proof verification workflow require specific LaTeX packages or dependencies?

No specific LaTeX packages or external dependencies are required; the proof verification workflow operates by parsing your standard LaTeX source file to construct a symbol table and run iterative cross-model reviews.

What is the best way to audit micro-claims in a theory paper to prevent hidden assumptions?

The best way to audit micro-claims in a theory paper is to force micro-claim–level justification through a structured issue taxonomy, ensuring standard or immediately-following results are rigorously checked against stated assumptions.