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LLM-assisted tools for informal proofs, proof strategy discussion, and code simplification
Codex 또는 Claude로 설치 이 Prompt를 복사해 Codex, Claude 또는 다른 어시스턴트에 붙여 넣으면 Skill 페이지를 검토하고 설치를 진행할 수 있습니다.
SOC 직업 분류 기준
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
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.
| name | llm |
| description | LLM-assisted tools for informal proofs, proof strategy discussion, and code simplification |
LLM-assisted tools for theorem proving support. All scripts are in .claude/skills/cli/.
| Tool | Purpose | When to use |
|---|---|---|
| informal-prover | Generate and verify step-by-step math solutions in a loop | When you want an LLM to attempt a full solution with auto-verification |
| discussion-partner | Free-form discussion about proof strategies or Lean code | When you are stuck and want high-level strategic advice |
| code-golf | Shorten and simplify an existing Lean proof via Gemini | After a proof works, to get a more elegant version |
For full parameters and examples, read the corresponding reference-<tool>.md file in this directory.
