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Proof step 88 from proof bytes2int-append (previous step)

bits2int(bytes2bits(bytes0)) < 0 ∧ 0 ≤ 8 * n→i(# bytes0), bits2int(bytes2bits(bytes0)) < 0 ⊦ bytes = [], bytes0 = [], bytes2bits(bytes) + bytes2bits(bytes0) = [], bits2uint(bytes2bits(bytes0)) = (bits2int(bytes2bits(bytes0)) + 1) % 2 ^ (8 * n→i(# bytes0)) + 2 ^ (8 * n→i(# bytes0)) - 1, bytes2bits(bytes).first

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 89:
bits2int(bytes2bits(bytes0)) < 0 ⊦ bytes = [], bytes0 = [], bytes2bits(bytes) + bytes2bits(bytes0) = [], (bits2int(bytes2bits(bytes0)) + 1) % 2 ^ (8 * n→i(# bytes0)) + 2 ^ (8 * n→i(# bytes0)) = bits2uint(bytes2bits(bytes0)) + 1, bytes2bits(bytes).first

Rule argument

Additional information

Used simplifier rules: ⊦ i * j = j * i;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ 0 ≤ n→i(n);% ⊦ 0 < i → (0 ≤ i * j ↔ 0 ≤ j);% ⊦ i - j = i0 ↔ i = i0 + j;