| import nest_asyncio | |
| from client import Lean4Client | |
| # Enable nested asyncio for Jupyter notebooks | |
| nest_asyncio.apply() | |
| client = Lean4Client(base_url="http://localhost:8000") | |
| mock_proof = """import Mathlib | |
| import Aesop | |
| set_option maxHeartbeats 0 | |
| open BigOperators Real Nat Topology Rat | |
| theorem lean_workbook_10009 (a b c: ℝ) (ha : a ≥ 0 ∧ b ≥ 0 ∧ c ≥ 0 ∧ a + b + c = 1): a^3 + b^3 + c^3 + (15 * a * b * c)/4 ≥ 1/4 := by | |
| nlinarith [sq_nonneg (a - b), sq_nonneg (b - c), sq_nonneg (c - a), | |
| sq_nonneg (a + b + c)]""" | |
| response = client.verify( | |
| [{"proof": mock_proof, "custom_id": "1"}, {"proof": mock_proof, "custom_id": "2"}], | |
| timeout=30, | |
| ) | |
| # Expected response format: | |
| # ```json | |
| # { | |
| # "results": | |
| # [ | |
| # { | |
| # "custom_id": "1", | |
| # "error": null, | |
| # "response": { | |
| # "messages": [ | |
| # { | |
| # "severity": "error", | |
| # "pos": {"line": 8, "column": 0}, | |
| # "endPos": {"line": 9, "column": 22}, | |
| # "data": "linarith failed to find a contradiction\ncase a\na b c : ℝ\nha : a ≥ 0 ∧ b ≥ 0 ∧ c ≥ 0 ∧ a + b + c = 1\na✝ : 1 / 4 > a ^ 3 + b ^ 3 + c ^ 3 + 15 * a * b * c / 4\n⊢ False\nfailed" | |
| # } | |
| # ], | |
| # "env": 1, | |
| # "time": 1.0048656463623047 | |
| # } | |
| # }, | |
| # { | |
| # "custom_id": "2", | |
| # "..." | |
| # } | |
| # ] | |
| # } | |
| # ``` | |