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Proof step 13 from proof n2s-s2n-identity (previous step)

s→n(n→s(m % 10)) = m % 10, s→n(n→s(m / 10)) = m / 10, 10 ≤ m, ∀ m1. m1 < m → true → s→n(n→s(m1)) = m1 ⊦ m = 0, m / 10 * 10 + m % 10 = m

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: nat-div inst: name: Moddef seq: ⊦ n ≠ 0 → m = m / n * n + m % n subst: [n, m] → [10, m] flags: rewrite

Additional information

Used terms: 10, m