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Proof step 30 from proof getShort-isi (previous step)

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

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: right 1

Additional information

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