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Proof step 46 from proof getShort-isi (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 47:
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) ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i * j = j * i;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ 0 ≤ j1 ∧ j1 < j → (0 ≤ i0 * j + j1 ↔ 0 ≤ i0);% ⊦ (* i) < j ∧ 0 < i → 0 ≤ j ∧ 0 < j; (forward)