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Proof step 17 from proof divi-sub (previous step)

m * n = m * n2 + n0, n2 ≤ n ⊦ m * (n - n2) = n0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 18:
n = n1 + n2, m * n = m * n2 + n0, n2 ≤ n ⊦ m * n1 = n0

Rule argument

spec: nat inst: name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [n, n2, n1] flags:

Additional information

Used simplifier rules: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: n, n2, n1