Audit new or existing Jacobian mathematical operations for public-domain mismatches, hidden work expansion, evidence-backed scale or backend improvements, lossy exact results, source-unbound conclusions, and producer-consumer incompatibility. Use for operation-contract reviews, mathematical performance investigations…
Build, validate, and run Jacobian evaluations packaged as Harbor datasets. Use when authoring or changing Harbor tasks, independent verifiers, Oracle jobs, workflow fixtures, task digests, or evaluation handoffs.
Review completed or paused mathematical agent transcripts, visible reasoning, code, searches, tool calls, corrections, and final claims to extract evidence-backed lessons for Jacobian operations, discovery, contracts, skills, evaluations, and documentation. Use for mathematical workflow retrospectives and "what should…
Turn Magma code into a formalized Lean theorem. Use whenever the user pastes or points at Magma source, asks what a Magma routine is really proving, asks to formalize a computation or a computationally-discovered pattern, or wants a Magma experiment turned into a general statement. Covers running the code on…
Formalize a claim of ordinary mathematics as Lean 4 + Mathlib and drive the live compile loop to zero errors. Use whenever the user states a mathematical claim, conjecture, exercise or definition; asks to formalize, state, prove, check or Lean-ify something; corrects or refines a previous formalization; asks why a…
Find and verify the name of a Mathlib lemma, theorem, definition, instance or tactic, and report its real elaborated type. Use whenever the user asks what a theorem is called, whether Mathlib has some fact, what the exact statement or hypotheses of a lemma are, or what the API of a type or namespace looks like; and…
Screen informal↔Lean 4 statement pairs for faithfulness defects. Use whenever writing, editing, translating, or reviewing Lean 4 theorem or definition statements that are meant to formalize informal mathematics: after drafting a statement, before committing formalizations, when auditing a benchmark file, or when the…
6 14d agoA0 tokens
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