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Search tools for finding Lean theorems, lemmas, and definitions in Mathlib
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Based on SOC occupation classification
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
Isolates failing proof steps by replacing them with `sorry` and extracting them into standalone lemmas to modularize and decouple complex Lean 4 proofs.
| name | search |
| description | Search tools for finding Lean theorems, lemmas, and definitions in Mathlib |
Tools for finding relevant Lean theorems, lemmas, and definitions. All scripts are in .claude/skills/cli/.
| Tool | Purpose | When to use |
|---|---|---|
| leanexplore | Semantic search by natural language or Lean terms | First choice for any search; max 5 parallel queries |
| loogle | Pattern-based search by type shape | When you know the type signature pattern |
| leanfinder | Mathlib semantic search | Alternative semantic search |
| leansearch | Natural language + Lean term search | Alternative to leanexplore |
| state-search | Search by proof goal/state | When you have a specific proof state to match |
| hammer-premise | Premise retrieval for automation | When looking for premises for automated tactics |
For full parameters and examples, read the corresponding reference-<tool>.md file in this directory.
