Use when a bibliography note, literature survey, or citation must identify a paper's precise theorem, proposition, lemma, or corollary. Extract its number, hypotheses, conclusion, and source location. Not for relevance triage from an abstract.
Formalize or verify a selected statement in Lean, optionally using Aristotle to propose code. Use only for an explicit request for formalization, Lean, Aristotle, or machine-checked proof. Not for informal explanation, examples, or gap analysis.
Maintain sentence-tagged LaTeX research documents and their typed annotation sidecars. Use for interlinear translations, explanations, local context, references, formal status, examples, or annotation views. Not for ordinary formatting, informal reasoning, or Lean work.
Analyze a mathematical claim or proof informally or semiformally from its labelled local context. Use to explain a proof step, expose assumptions, test an example, find a gap, or write informal interlinear metadata. Not for copyediting, literature extraction, or Lean/formal prover work.