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Verification tools for compiling, validating, and disproving Lean theorems
用 Codex 或 Claude 帮你安装 复制这段 Prompt，粘贴到 Codex、Claude 或其他助手里，让它检查 Skill 页面并帮你完成安装。
基于 SOC 职业分类
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
| name | verification |
| description | Verification tools for compiling, validating, and disproving Lean theorems |
Tools for verifying Lean code correctness.
| Tool | Purpose | When to use |
|---|---|---|
| lean-check | Compile a Lean file and report errors (local, no API key) | First step to validate any proof attempt |
| axle verify-proof | Validate a proof matches a formal statement | When you need to confirm a proof proves exactly the right theorem |
| axle disprove | Attempt to disprove theorems by proving negation | Before investing effort in a proof, check if the conjecture is false |
For full parameters and examples, read the corresponding reference-<tool>.md file in this directory.
