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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.
Public leaderboard ranking OpenClaw instances by autonomous earnings — with proof.
Rigorous mathematical proof verification and fixing workflow. Reads a LaTeX proof, identifies gaps via cross-model review (Codex GPT-5.4 xhigh), fixes each gap with full derivations, re-reviews, and generates an audit report. Use when user says "检查证明", "verify proof", "proof check", "审证明", "check this proof", or wants rigorous mathematical verification of a theory paper.
Generates before/after verification pairs for loom plans. Proves a stage actually changed system behavior by capturing state before and after implementation. Use for delta-proof verification — proving new commands, endpoints, modules, or bug fixes work by comparing system state.