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Search tools for finding Lean theorems, lemmas, and definitions in Mathlib
التثبيت باستخدام Codex أو Claude انسخ هذا Prompt والصقه في Codex أو Claude أو مساعد آخر ليراجع صفحة Skill ويثبّتها لك.
القائمة
Search tools for finding Lean theorems, lemmas, and definitions in Mathlib
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
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.