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. This is a detailed workflow description with clear steps.

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 a general use case description).

Includes excellent natural trigger terms in both English and Chinese: '检查证明', 'verify proof', 'proof check', '审证明', 'check this proof', plus contextual triggers like 'rigorous mathematical verification of a theory paper'. Good multilingual coverage of terms users would naturally say.

Highly distinctive niche: mathematical proof verification in LaTeX with a specific cross-model review workflow. The combination of LaTeX proofs, mathematical rigor, audit reports, and bilingual Chinese/English triggers makes it very unlikely to conflict with other skills.

This skill is extremely verbose — well over 500 lines with exhaustive taxonomy tables, detailed JSON schemas, multiple opt-in mode specifications, failure mode documentation, and extensive side-condition checklists. Much of this (e.g., the 20-category issue taxonomy, the side-condition checklists for DCT/MCT/Fubini, the two-axis severity system) is knowledge Claude already possesses. The deep-fix and restatement-check opt-in sections alone consume hundreds of tokens on schema details and failure-mode edge cases that could be in separate reference files.

The skill provides highly concrete, executable guidance: specific MCP tool invocations with exact prompt templates, bash commands for LaTeX compilation, structured JSON schemas for output artifacts, explicit fix-recording templates, and detailed per-phase instructions. The reviewer prompt is copy-paste ready, and output formats are fully specified with examples.

The multi-phase workflow (0 → 0.5 → 1 → 1.5 → 2 → 3 → 3.5 → 3.6 → 3.9 → 4 → 5) is clearly sequenced with explicit validation checkpoints: acceptance gates, compile checks after fixes, blind re-review for FATAL/CRITICAL fixes, regression proof-audit, and a clear unrecoverable protocol (Phase 3.9) with feedback loops (repeat Phases 2-3 up to MAX_REVIEW_ROUNDS). The workflow handles error recovery thoroughly.

This is a monolithic wall of text with everything inlined into a single massive SKILL.md. The 20-category taxonomy, side-condition checklists, detailed JSON schemas, deep-fix specifications, restatement-check algorithm, and submission artifact schemas should all be in separate reference files. There is one reference to `shared-references/reviewer-routing.md` and `shared-references/assurance-contract.md`, but no bundle files are provided, and the vast majority of content that should be split out remains inline.