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Proof step 7 from proof aligndown-remainder (previous step)

m = m0 + m / n * n ⊦ m % n = 0, m0 = m % n, n = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ n ≠ 0 → m % n = m - m / n * n
Proof step 9:
m = m0 + m / n * n ⊦ m - m / n * n = 0, m0 = m - m / n * n, n = 0

Rule argument

spec: nat-div name: mod-rew seq: ⊦ n ≠ 0 → m % n = m - m / n * n subst: [n, m] → [n, m] flags: <all paths>

Additional information

Used terms: n, m