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Proof step 43 from proof bits2int-pos (previous step)

~128 ≤ bits2int(true ' + firstn(# bits0 % 8, bits0)), bits2int(true ' + firstn(# bits0 % 8, bits0)) ≤ 127, 7 < # bits0, # bits0 % 8 ≤ 7, # bits0 % 8 < # bits0, 0 ≤ bits2int(fillsgn(8, sgn(true ' + firstn(# bits0 % 8, bits0))) + bytes2bits(bits2bytes(restn(# bits0 % 8, bits0)))) ⊦ bits0 = [], (# bits0 + 1) % 8 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ bits.first ∧ bits ≠ [] → bits2int(bits) = ~ bits2uint(bitsinvert(bits) +1) subst: [bits] → [ fillsgn(8, sgn(true ' + firstn(# bits0 % 8, bits0))) + bytes2bits(bits2bytes(restn(# bits0 % 8, bits0)))] rotate: F spec: int2bits inst: name: bits2int-neg-03

Additional information

Used terms: fillsgn(8, sgn(true ' + firstn(# bits0 % 8, bits0))) + bytes2bits(bits2bytes(restn(# bits0 % 8, bits0)))