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Proof step 51 from proof getShort-isi (previous step)

0 < b2i(byi) * 256 + band(b2i(byj), 255), 0 ≤ band(b2i(byj), 255), band(b2i(byj), 255) < 256, 32767 < b2i(byi) * 256 + band(b2i(byj), 255), 0 ≤ b2i(byi) ⊦ 32767 < b2i(byi) * 256 + band(b2i(byj), 255) ∧ b2i(byi) * 256 + band(b2i(byj), 255) < b2i(byi) * 256 + 256, 32768 < b2i(byi) * 256 + 256

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ i * j = j * i;% ⊦ band(i, j) = band(j, i);% ⊦ i + j = j + i;