proof-checker

To verify mathematical proofs in LaTeX, submit the .tex file path to trigger a rigorous cross-model review that detects unproven steps and hidden assumptions. The tool outputs a formal audit report with complete proof obligation accounting and gap fixing derivations.

Cross-model proof review runs adversarial passes to locate hidden assumptions and invalid interchanges in your derivations. It tracks proof obligations and applies counterexample red-teaming to ensure theorem statements match their stated hypotheses with correct quantifiers and asymptotic uniformity.

The best way to fix proof gaps is to pass your LaTeX file path with the --deep-fix flag. This triggers iterative gap fixing with full derivations, followed by bounded re-review rounds until convergence, ultimately producing a formal proof audit report and audit log.

Yes, proof verification explicitly supports checking asymptotic uniformity and correct quantifiers in lemma statements. The review process ensures that theorem and lemma statements match their stated hypotheses by validating inequalities, quantifiers, and uniformity conditions.

Counterexample red-teaming operates within bounded rounds for gap fixing and re-review convergence. While it rigorously tests theorem statements against hypotheses, highly complex or non-standard mathematical proofs may require manual intervention if the automated derivation cannot fully resolve invalid interchanges.