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Proof step 7 from proof fst-nle (previous step)

m.1 ≤ m, m * m0 + n ≤ m.1, m * m0 + n ≤ m ⊦ m0 = 1, m0 = 0, m = 0 ∧ n = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ m * n = n * m
Proof step 9:
m.1 ≤ m, m0 * m + n ≤ m.1, m0 * m + n ≤ m ⊦ m0 = 1, m0 = 0, m = 0 ∧ n = 0

Rule argument

spec: nat-mult inst: name: mult-c seq: ⊦ m * n = n * m subst: [n, m] → [m0, m] flags: rewrite

Additional information

Used terms: m0, m