⊢ Q.E.D

∀ theorem → ∃ proof — LLM-guided formal verification, powered by Modal.

Enter a theorem in Lean 4 syntax (∀ ∃ ¬ ∧ ∨ → ↔ ℕ ℤ α all supported). The agent proposes tactics, Lean's kernel verifies each step, and kernel errors feed back into the next proposal. Watch it prove a true theorem — or correctly conclude a false one is unprovable.

∀ n m · n + m = m + n — addition is commutative

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Examples — click to load

∀ provable ones first, then a false one ↓