open-atp

A no-op skill used only by the agent-capability tests to confirm a harness can mount and invoke a skill. Has no real behavior; invoke it when asked to during a capability probe.

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.

Lean 4 theorem proving toolkit: search lemmas, verify proofs, repair/simplify code, and get LLM-assisted informal proofs

Code transformation tools for repairing, simplifying, and extracting Lean proofs

LLM-assisted tools for informal proofs, proof strategy discussion, and code simplification

Search tools for finding Lean theorems, lemmas, and definitions in Mathlib

Isolates failing proof steps by replacing them with `sorry` and extracting them into standalone lemmas to modularize and decouple complex Lean 4 proofs.

Verification tools for compiling, validating, and disproving Lean theorems