Mostly efficient but carries redundancy: '## Inputs' overlaps '### Step 1', the Step 5 must-include list duplicates '## Required File Structure', and '## Key Rules' restates rules already stated inline.

Though instruction-only (no code), the guidance is concrete and copy-paste ready: an exact file-structure template, a named forbidden-phrase list ('clearly', 'obviously', ...), and explicit math formatting rules ($...$, $$...$$).

Steps 1–6 are clearly sequenced with an explicit Step 6 verification checklist and a feedback loop that downgrades to a blockage report when a step cannot be justified, matching the validation-checkpoints anchor.

Sections are well organized, but there are no bundle files and all ~200 lines (including the file template and three output modes) live inline in SKILL.md rather than being split into one-level-deep references.

Lists multiple concrete actions ('prove a theorem, lemma, proposition, or corollary, fill in missing proof steps, formalize a proof sketch, ... determine whether a claimed proof can actually be completed'), matching the score-3 anchor for several specific actions.

Explicitly answers what ('Writes rigorous mathematical proofs for ML/AI theory') and when ('Use when asked to prove...'), satisfying the both-what-and-when anchor with an explicit Use-when clause.

Covers natural phrasings a user would say ('prove a theorem', 'fill in missing proof steps', 'formalize a proof sketch') plus Chinese variants (补全证明, 写证明, 证明某个命题), giving good trigger coverage.

A clear niche (rigorous proof writing for ML/AI theory) with distinct, specialized triggers unlikely to fire for unrelated skills; written in third person.