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Proof step 32 from proof getShort-isi (previous step)

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

User applied rule insert lemma

And obtained the following new goals

Proof step 33:
⊦ ~128 ≤ b2i(by) ∧ b2i(by) ≤ 127
Proof step 34:
~128 ≤ b2i(byi) ∧ b2i(byi) ≤ 127, b2i(byi) < 256, b2i(byi) * 256 + band(b2i(byj), 255) < ~32768, band(b2i(byj), 255) < 256, 0 ≤ band(b2i(byj), 255), b2i(byi) < 0, b2i(byi) < band(b2i(byj), 255), b2i(byi) < 255 ⊦

Rule argument

name: byte-range subst: [by] → [byi]

Additional information

Used terms: byi