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Proof step 2 from proof mult-03 (previous step)

prime(m * n), 2 ≤ m, 2 ≤ n ⊦ m = 0, n = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: nat-prime inst: name: mult seq: ⊦ m ≠ 1 ∧ n ≠ 1 → ¬ prime(m * n) subst: [n, m] → [n, m] flags: rewrite, current

Additional information

Used simplifier rules: one: ⊦ m0 * 1 = m0; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%mult-c: ⊦ m * n = n * m; from specification nat-mult Used terms: n, m