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Write a proof in plain English, LaTeX, or upload handwritten math. AgentQED translates it to Lean 4 and formally verifies it.
Prove that for all natural numbers n, the sum 0 + 1 + 2 + ... + n equals n * (n + 1) / 2.
Prove that for propositions A and B, if A and B are both true, then B and A are both true (commutativity of conjunction).
Prove that for any decidable proposition P, if not (not P) then P.
Prove that reversing a list twice gives back the original list.
Prove by induction that for all natural numbers n, 0 + n = n.
Prove modus ponens: if P implies Q, and P is true, then Q is true.