القائمة
Verification tools for compiling, validating, and disproving Lean theorems
التثبيت باستخدام Codex أو Claude انسخ هذا Prompt والصقه في Codex أو Claude أو مساعد آخر ليراجع صفحة Skill ويثبّتها لك.
استنادا إلى تصنيف SOC المهني
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.
