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Proof step 40 from proof bits2int-pos (previous step)

~128 ≤ bits2int(boolvar ' + firstn(# bits0 % 8, bits0)) ∧ bits2int(boolvar ' + firstn(# bits0 % 8, bits0)) ≤ 127, boolvar, 7 < # bits0, # bits0 % 8 ≤ 7, # bits0 % 8 < # bits0 ⊦ bits0 = [], (# bits0 + 1) % 8 = 0, 0 ≤ bits2int(fillsgn(8, int2bits(bits2int(boolvar ' + firstn(# bits0 % 8, bits0)))) + bytes2bits(bits2bytes(restn(# bits0 % 8, bits0)))) ↔ ¬ boolvar

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: bits ≠ [] ⊦ int2bits(bits2int(bits)) = sgn(bits) subst: [bits] → [boolvar ' + firstn(# bits0 % 8, bits0)] rotate: F spec: int2bits inst: name: bits2bits-def

Additional information

Used simplifier rules: ⊦ ¬ bits + bits0 ≠ [] ↔ bits = [] ∧ bits0 = [];% ⊦ boolvar ' ≠ [];% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1; Used terms: boolvar ' + firstn(# bits0 % 8, bits0)