// Lean 4 theorem proving toolkit: search lemmas, verify proofs, repair/simplify code, and get LLM-assisted informal proofs
| name | numina-lean-agent |
| description | Lean 4 theorem proving toolkit: search lemmas, verify proofs, repair/simplify code, and get LLM-assisted informal proofs |
| Skill | Description |
|---|---|
| search | Search tools: leanexplore, loogle, leanfinder, leansearch, state-search, hammer-premise |
| verification | Verification: lean-check, verify-proof, disprove |
| code-transform | Code transforms: repair-proofs, simplify-theorems, sorry2lemma, extract-theorems |
| llm | LLM tools: informal_prover, discussion_partner, code_golf |
GEMINI_API_KEY — informal_prover (gemini generation, gemini verifier, gemini refinement), code_golf, discussion_partner (gemini)OPENAI_API_KEY — informal_prover (gpt generation, gpt verifier), discussion_partner (gpt)ANTHROPIC_API_KEY — informal_prover (claude verifier)AXLE_API_KEY — axle commands (verify-proof, disprove, sorry2lemma, etc.)LLM-assisted tools for informal proofs, proof strategy discussion, and code simplification
Search tools for finding Lean theorems, lemmas, and definitions in Mathlib
Code transformation tools for repairing, simplifying, and extracting Lean proofs
Isolates failing proof steps by replacing them with `sorry` and extracting them into standalone lemmas to modularize and decouple complex Lean 4 proofs.
Verification tools for compiling, validating, and disproving Lean theorems