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Proof step 25 from proof bits2bytes-mklist (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 26:
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

Rule argument

Additional information

Used simplifier rules: ⊦ m0 * m = 0 ↔ m0 = 0 ∨ m = 0;% ⊦ m < n → n ≠ 0; (forward)% ⊦ m * n = n * m;% ⊦ m0 * m * n = (m0 * m) * n;% ⊦ m ≠ 0 → (m * m0) / m = m0;