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Proof step 2 from proof bits2bytes-mklist-01 (previous step)

⊦ n % 8 = 0, bits2bytes(mklist(false, n)) = i2b(0) ' + mklist(i2b(0), n / 8)

User applied rule insert elim lemma

And obtained the following new goals

Proof step 3:
n = m * 8 + n0 ∧ n0 < 8 ∧ 8 ≠ 0 ⊦ n0 = 0, bits2bytes(mklist(false, n)) = i2b(0) ' + mklist(i2b(0), m)

Rule argument

seq: n ≠ 0 ⊦ m0 = m / n ∧ n0 = m % n ↔ m = m0 * n + n0 ∧ n0 < n subst: [m, n, m0, n0] → [n, 8, m, n0] rotate: T spec: nat-div inst: name: div-elim

Additional information

Used simplifier rules: n ≠ 0 ⊦ m0 = m / n ∧ n0 = m % n ↔ m = m0 * n + n0 ∧ n0 < n; (elim) Used terms: n, 8, m, n0