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.