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Proof step 24 from proof bits2int-pos (previous step)

7 < # bits0, # bits0 % 8 ≤ 7, # bits0 % 8 < # bits0 ⊦ bits0 = [], (# bits0 + 1) % 8 = 0, 0 ≤ bytes2int(i2b(bits2int(boolvar ' + firstn(# bits0 % 8, bits0))) ' + bits2bytes(restn(# bits0 % 8, bits0))) ↔ ¬ boolvar

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 25:
⊦ bytes2int(bytes) = bits2int(bytes2bits(bytes))
Proof step 26:
7 < # bits0, # bits0 % 8 ≤ 7, # bits0 % 8 < # bits0 ⊦ bits0 = [], (# bits0 + 1) % 8 = 0, 0 ≤ bits2int(bytes2bits(i2b(bits2int(boolvar ' + firstn(# bits0 % 8, bits0))) ' + bits2bytes(restn(# bits0 % 8, bits0)))) ↔ ¬ boolvar

Rule argument

name: bytes2int rotate: F subst: [bytes] → [ i2b(bits2int(boolvar ' + firstn(# bits0 % 8, bits0))) ' + bits2bytes(restn(# bits0 % 8, bits0))]

Additional information

Used terms: i2b(bits2int(boolvar ' + firstn(# bits0 % 8, bits0))) ' + bits2bytes(restn(# bits0 % 8, bits0))