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Proof step 27 from proof bits2int-pos (previous step)

7 < # bits0, # bits0 % 8 ≤ 7, # bits0 % 8 < # bits0 ⊦ bits0 = [], (# bits0 + 1) % 8 = 0, 0 ≤ bits2int(byte2bits(i2b(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

Proof step 28:
⊦ byte2bits(by) = fillsgn(8, int2bits(b2i(by)))
Proof step 29:
7 < # bits0, # bits0 % 8 ≤ 7, # bits0 % 8 < # bits0 ⊦ bits0 = [], (# bits0 + 1) % 8 = 0, 0 ≤ bits2int(fillsgn(8, int2bits(b2i(i2b(bits2int(boolvar ' + firstn(# bits0 % 8, bits0)))))) + bytes2bits(bits2bytes(restn(# bits0 % 8, bits0)))) ↔ ¬ boolvar

Rule argument

name: byte2bits rotate: F subst: [by] → [i2b(bits2int(boolvar ' + firstn(# bits0 % 8, bits0)))]

Additional information

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