Lists multiple specific concrete actions: reads a LaTeX proof, identifies gaps via cross-model review, fixes each gap with full derivations, re-reviews, and generates an audit report. Very detailed workflow description.

Clearly answers both 'what' (reads LaTeX proof, identifies gaps, fixes with derivations, re-reviews, generates audit report) and 'when' (explicit 'Use when' clause with specific trigger phrases and use case description).

Excellent coverage of natural trigger terms in both English and Chinese: '检查证明', 'verify proof', 'proof check', '审证明', 'check this proof', plus conceptual triggers like 'rigorous mathematical verification' and 'theory paper'.

Highly distinctive niche: mathematical proof verification with LaTeX, cross-model review, and audit reports. The combination of domain (math proofs), format (LaTeX), and workflow (verify-fix-re-review-audit) makes it very unlikely to conflict with other skills.

This skill is extremely verbose — well over 1000 lines with exhaustive taxonomy tables, JSON schema definitions, failure mode prose, opt-in flag discipline sections, and repeated explanations of the same concepts (e.g., deep-fix opt-in rationale is explained at least 3 times). Much of this content (e.g., the 20-category issue taxonomy, side-condition checklists for common theorems, detailed JSON schemas) could be split into reference files. The skill also over-explains concepts Claude already knows (what DCT/MCT/Fubini are, what counterexamples are).

The skill provides highly concrete, executable guidance: exact MCP tool names and calling conventions, specific prompt templates to send to reviewers, exact bash commands for compilation, complete JSON schemas for output artifacts, structured fix recording templates, and precise algorithms for each phase. The guidance is copy-paste ready throughout.

The multi-phase workflow (Phase 0 → 0.5 → 1 → 1.5 → 2 → 3 → 3.5 → 3.6 → 3.9 → 4 → 5) is clearly sequenced with explicit validation checkpoints (acceptance gate, compile checks after fixes, blind re-review for FATAL/CRITICAL fixes, regression proof-audit). Feedback loops are well-defined: fix → re-review → repeat up to MAX_REVIEW_ROUNDS, with an explicit unrecoverable protocol (Phase 3.9) when convergence fails.

This is a monolithic wall of text with no bundle files to offload content to. The issue taxonomy (20 categories), side-condition checklists, JSON schemas, deep-fix specifications, restatement-check algorithm, and verdict decision tables are all inline in a single massive file. References to external files like `shared-references/reviewer-routing.md` and `shared-references/assurance-contract.md` exist but no bundle files are provided, and the core problem is that content that should be in separate reference files (taxonomy, schemas, checklists) is all embedded.