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Proof step 29 from proof bits2bytes-mklist (previous step)

∀ n1. n1 < n0 * 8 → n1 % 8 = 0 → n1 = 0 ∨ bits2bytes(mklist(false, n1)) = mklist(i2b(0), n1 / 8) ⊦ bits2bytes(mklist(false, n0 * 8 - 8)) + i2b(0) ' = mklist(i2b(0), n0), (n0 * 8 - 8) % 8 = 0, n0 = 1, n0 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 30:
⊦ m ≠ 0 → m * n - n = (m - 1) * n

Rule argument

seq: ⊦ m ≠ 0 → m * n - n = (m - 1) * n subst: [n, m] → [8, n0] rotate: F spec: nat-mult inst: name: dist-sub-01

Additional information

Used simplifier rules: n ≠ 0 ⊦ (m * n) % n = 0;% ⊦ m0 * m * n = (m0 * m) * n;% ⊦ m * n = n * m; Used terms: 8, n0