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Found 4 Skills
Verify, check, transform, and repair Lean 4 proofs using the Axiom (Axle) CLI and API. Supports proof verification, syntax checking, theorem extraction, code transformation (rename, merge, simplify), proof repair, and disproving. Use this skill whenever the user works with Lean 4 code, formal mathematics, Mathlib theorems, or mentions axiom, axle, lean verify, proof verification, formal proof, or theorem checking -- even if they don't explicitly say "axiom" but are clearly working with Lean proofs that need machine verification.
Use when editing .lean files, debugging Lean 4 builds (type mismatch, sorry, failed to synthesize instance, axiom warnings, lake build errors), searching mathlib for lemmas, formalizing mathematics in Lean, or learning Lean 4 concepts. Also trigger when the user asks for help with Lean 4, mathlib, or lakefile. Do NOT trigger for Coq/Rocq, Agda, Isabelle, HOL4, Mizar, Idris, Megalodon, or other non-Lean theorem provers.
Search Mathlib for lemmas by type signature pattern
Formal theorem proving with research, testing, and verification phases