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Proof step 4 from proof getShort-isi (previous step)

⊦ s2i(i2s(bor(b2i(byi) i<< 8, band(b2i(byj), 255)))) = bor(b2i(byi) i<< 8, band(b2i(byj), 255)), ¬ bor(b2i(byi) i<< 8, band(b2i(byj), 255)) < ~32768 ∧ ¬ 32767 < bor(b2i(byi) i<< 8, band(b2i(byj), 255))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ i i<< j = bits2int(int2bits(i) + mklist(false, i→n(band(j, 31))))
Proof step 6:
⊦ s2i(i2s(bor(bits2int(int2bits(b2i(byi)) + mklist(false, i→n(band(8, 31)))), band(b2i(byj), 255)))) = bor(bits2int(int2bits(b2i(byi)) + mklist(false, i→n(band(8, 31)))), band(b2i(byj), 255)), ¬ bor(bits2int(int2bits(b2i(byi)) + mklist(false, i→n(band(8, 31)))), band(b2i(byj), 255)) < ~32768 ∧ ¬ 32767 < bor(bits2int(int2bits(b2i(byi)) + mklist(false, i→n(band(8, 31)))), band(b2i(byj), 255))

Rule argument

seq: ⊦ i i<< j = bits2int(int2bits(i) + mklist(false, i→n(band(j, 31)))) subst: [j, i] → [8, b2i(byi)] rotate: F spec: intops inst: name: shiftleft

Additional information

Used terms: 8, b2i(byi)