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Proof step 52 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) ⊦ b2i(byi) * 256 + band(b2i(byj), 255) < b2i(byi) * 256 + 256, 32768 < b2i(byi) * 256 + 256

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ i + j < i + i0 ↔ j < i0 subst: [i0, j, i] → [256, band(b2i(byj), 255), b2i(byi) * 256] rotate: F spec: int-basic2 inst: name: ls-01

Additional information

Used simplifier rules: ⊦ band(i, j) = band(j, i); Used terms: 256, band(b2i(byj), 255), b2i(byi) * 256