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Proof step 3 from proof mod-rew (previous step)

⊦ m % n = m - m / n * n, n = 0

User applied rule insert lemma

And obtained the following new goals

Proof step 4:
⊦ n ≠ 0 → m = m / n * n + m % n
Proof step 5:
n ≠ 0 → m = m / n * n + m % n ⊦ m % n = m - m / n * n, n = 0

Rule argument

spec: <toplevel> name: Moddef seq: ⊦ n ≠ 0 → m = m / n * n + m % n subst: [n, m] → [n, m]

Additional information

Used terms: n, m