proof-checker

To verify mathematical proofs in LaTeX, this Skill identifies gaps via cross-model adversarial review, fixes missing derivations, and iterates until convergence to ensure logical completeness. It applies to complex theorems, lemmas, and micro-claims across multiple sections.

Cross-model adversarial review for formal verification is a process that surfaces unjustified assertions and missing derivations in mathematical proofs. It requires explicit hypotheses, justified interchanges, and a formal proof-obligation ledger to track dependencies until convergence.

You generate an audit report for mathematical proofs by applying a rigorous workflow that records dependencies, claims, and resolutions. The Skill produces a formal PROOF_AUDIT-like document for reproducibility after identifying and fixing gaps in LaTeX documents.

Yes, proof-checking applies to complex theorems, lemmas, and micro-claims across multiple sections. The workflow reads LaTeX documents, identifies gaps, fills them with full derivations, and re-reviews until the proof converges.

You track proof dependencies and missing hypotheses in LaTeX documents using a formal proof-obligation ledger. The Skill requires explicit hypotheses and justified interchanges, iterating through cross-model review to discharge all outstanding obligations.

Automated proof-checking for LaTeX documents requires explicit hypotheses and justified interchanges to function properly. It may need multiple iterations to reach convergence, and complex proofs with implicit assumptions across sections could require extensive gap-filling derivations.