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Proof step 26 from proof bits2bytes-mklist (previous step)

8 < n0 * 8, ∀ 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 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 27:
⊦ m0 ≠ 0 → (m0 < m0 * m ↔ 1 < m)
Proof step 28:
8 ≠ 0, 1 < n0, ∀ 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 = 0

Rule argument

seq: ⊦ m0 ≠ 0 → (m0 < m0 * m ↔ 1 < m) subst: [m, m0] → [n0, 8] rotate: F spec: nat-mult inst: name: ls-04

Additional information

Used simplifier rules: ⊦ m * n = n * m; Used terms: n0, 8