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Proof step 1 from proof getShort-isi (conclusion)

⊦ s2i(i2s(bor(b2i(byi) i<< 8, band(b2i(byj), 255)))) = bor(b2i(byi) i<< 8, band(b2i(byj), 255))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
~32768 ≤ i, i ≤ 32767 ⊦ s2i(i2s((* i))) = i
Proof step 3:
¬(~32768 ≤ bor(b2i(byi) i<< 8, band(b2i(byj), 255)) ∧ bor(b2i(byi) i<< 8, band(b2i(byj), 255)) ≤ 32767) ⊦ s2i(i2s(bor(b2i(byi) i<< 8, band(b2i(byj), 255)))) = bor(b2i(byi) i<< 8, band(b2i(byj), 255))

Rule argument

name: num-issi rotate: F subst: [i] → [bor(b2i(byi) i<< 8, band(b2i(byj), 255))]

Additional information

Used simplifier rules: ⊦ band(i, j) = band(j, i); Used terms: bor(b2i(byi) i<< 8, band(b2i(byj), 255))