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Proof step 15 from proof ushort-band-01 (previous step)

i * 256 + j ≤ 65535, 0 < j + i * 256, 65535 ≤ j + i * 256, i * 256 + j < 65536, 0 ≤ j, 0 ≤ i, j < 256 ⊦ 255 + (j + i * 256 - 65535) % 256 = j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
65535 = i * 256 + j, j < 256, 0 ≤ i, 0 ≤ j ⊦ 255 = j

Rule argument

Additional information

Used simplifier rules: ⊦ i = j → i - j = 0;% ⊦ i ≤ j → (j ≤ i ↔ i = j);% ⊦ i + j = j + i;