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Proof step 189 from proof fix-bits2bytes-01 (previous step)

¬(#(mklist(true, 8 - n0) + bits) % 8 = 0 ∧ mklist(true, (n - 1 - m) * 8) ≠ [] ∧ mklist(true, 8 - n0) + bits ≠ []), # bits = m * 8 + n0, bits.first, # bits2bytes(bits) < n, m * 8 + n0 < 8 * n, n0 < 8, m < n ⊦ mklist(i2b(~1), n - # bits2bytes(bits)) + bits2bytes(bits) = bits2bytes(mklist(true, (n - 1 - m) * 8) + mklist(true, 8 - n0) + bits), bits = [], n * 8 = m * 8 + n0, n0 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 190:
# bits = m * 8 + n0, n0 < 8, bits.first, # bits2bytes(bits) < n, m < n ⊦ mklist(i2b(~1), n - # bits2bytes(bits)) + bits2bytes(bits) = bits2bytes(mklist(true, (n - 1 - m) * 8) + mklist(true, 8 - n0) + bits), bits = [], n * 8 = # bits, n0 = 0, ((8 - n0) + # bits) % 8 = 0 ∧ (n - 1 - m) * 8 ≠ 0

Rule argument

Additional information

Used simplifier rules: ⊦ n < m → m - n ≠ 0;% ⊦ ¬ bits + bits0 ≠ [] ↔ bits = [] ∧ bits0 = [];% ⊦ mklist(boolvar, m) = [] ↔ m = 0;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ # mklist(boolvar, n) = n;% ⊦ #(bits + bits0) = # bits + # bits0;% ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m * n = n * m;% ⊦ m0 * m * n = (m0 * m) * n;% ⊦ n0 < m0 → (m0 * m + n0 < m0 * n ↔ m < n);