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Lean 4 theorem proving toolkit: search lemmas, verify proofs, repair/simplify code, and get LLM-assisted informal proofs
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。
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
基于 SOC 职业分类
| 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.)