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Proof step 18 from proof getShort-isi (previous step)

⊦ s2i(i2s(bor(bits2int(int2bits(b2i(byi)) + mklist(false, 8)), band(b2i(byj), 255)))) = bor(bits2int(int2bits(b2i(byi)) + mklist(false, 8)), band(b2i(byj), 255)), ¬ bor(bits2int(int2bits(b2i(byi)) + mklist(false, 8)), band(b2i(byj), 255)) < ~32768 ∧ ¬ 32767 < bor(bits2int(int2bits(b2i(byi)) + mklist(false, 8)), band(b2i(byj), 255))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ # bits0 ≠ 0 ∧ # bits ≠ 0 ∧ ¬ bits.first → bits2int(bits + bits0) = bits2uint(bits) * 2 ^ n→i(# bits0) + bits2uint(bits0) subst: [bits0, bits] → [mklist(false, 8), int2bits(b2i(byi))] rotate: F spec: int2bits inst: name: bits2int-split

Additional information

Used terms: mklist(false, 8), int2bits(b2i(byi))