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Proof step 7 from proof bits2bits-sgn (previous step)

# bits ≤ 8, ∀ bits0. # bits0 < # bits → true → bits0 = [] ∨ sgn(bytes2bits(bits2bytes(bits0))) = sgn(bits0) ⊦ bits = [], sgn(byte2bits(i2b(bits2int(bits)))) = sgn(bits)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ byte2bits(by) = fillsgn(8, int2bits(b2i(by)))
Proof step 9:
# bits ≤ 8, ∀ bits0. # bits0 < # bits → true → bits0 = [] ∨ sgn(bytes2bits(bits2bytes(bits0))) = sgn(bits0) ⊦ bits = [], sgn(fillsgn(8, int2bits(b2i(i2b(bits2int(bits)))))) = sgn(bits)

Rule argument

name: byte2bits rotate: F subst: [by] → [i2b(bits2int(bits))]

Additional information

Used terms: i2b(bits2int(bits))