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Proof step 34 from proof bits2bytes-mklist-02 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 35:
bits2bytes(mklist(true, (n0 - 1) * 8)) = mklist(i2b(~1), n0 - 1), 8 < n0 * 8, ∀ n1. n1 < n0 * 8 → n1 % 8 = 0 → n1 = 0 ∨ bits2bytes(mklist(true, n1)) = mklist(i2b(~1), n1 / 8) ⊦ n0 = 0, i2b(~1) ' + mklist(i2b(~1), n0 - 1) = mklist(i2b(~1), n0)

Rule argument

Additional information

Used simplifier rules: ⊦ m * n = n * m;% ⊦ m0 * m * n = (m0 * m) * n;%n ≠ 0 ⊦ (m * n) / n = m;