proof-review-structural

Reviews assembled mathematical proofs for goal alignment, dependency closure, and LaTeX structural consistency.

65|2|Updated Aug 10, 2026
One-click install
npx skills add https://github.com/DechenZhang/VALG-ML-Theory-Agent --skill proof-review-structural-dechenzhang
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: proof-review-structural
Source: https://github.com/DechenZhang/VALG-ML-Theory-Agent/tree/main/skills/proof-review-structural
Command: npx skills add https://github.com/DechenZhang/VALG-ML-Theory-Agent --skill proof-review-structural-dechenzhang

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve? Verifying that an assembled mathematical proof faithfully matches its intended theorem, covers every accepted proof step, and produces a paper-ready LaTeX bundle is error-prone when done manually. This Skill performs a diagnostic structural review of a final proof assembly, catching mismatched claims, missing derivations, and synchronization defects before acceptance. ## Core Features & Use Cases - Claim Integrity Audit: Compares the attempted theorem in the LaTeX bundle against the authoritative setting, detecting silent strengthening, narrowed regimes, or placeholder dependence. - Dependency and Coverage Checks: Maps every required sketch step to accepted proof artifacts, verifies dependency closure, and flags orphan blocks or cyclic dependencies. - LaTeX Bundle Validation: Enforces paper-ready structure including numbered assumptions, self-contained theorem statements, appendix proof completeness, and removal of workflow scaffolding prose. - Use Case: After assembling a theorem proof from accepted step artifacts, run this reviewer to produce a diagnostic report with a verdict, blocking issues, and the smallest repair target before controller routing. ## Quick Start Run the structural proof review on the assembled LaTeX bundle and accepted step artifacts for the current idea to generate proof_review_structural.md.

Frequently Asked Questions about proof-review-structural

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I verify an assembled mathematical proof before acceptance?

Run this structural reviewer after proof assembly. It audits claim alignment against the setting, checks sketch-step coverage and dependency closure, and validates the LaTeX bundle, producing a diagnostic report with a PASS or BLOCKING verdict.

What does a structural proof review check in a LaTeX bundle?

It checks that the bundle contains required sections, numbered assumptions with stable labels, self-contained theorem statements, complete appendix proofs per sketch step, and no leftover template placeholders or workflow scaffolding prose.

Can this reviewer modify or repair the proof it reviews?

No. It is strictly diagnostic and must not modify proofs, sketches, step artifacts, or accepted results. It only emits a verdict, blocking issues, suggested repair depth, and the smallest candidate repair target.

What inputs are required to run a structural proof review?

It requires the setting file, the full LaTeX template bundle, the assembly report, the accepted proof sketch and its review, a valid diagnostic global proof with accepted review, and accepted proof and review artifacts for every required sketch step.

When does a structural review return BLOCKING instead of PASS?

It returns BLOCKING when it finds issues such as mismatched theorem claims, missing appendix derivations, unreviewed lemmas introduced by assembly, dependency cycles, or placeholder text. PASS requires zero blocking issues and verified coverage of all accepted steps.