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Proof step 8 from proof int2bytes-bytes2int-length-01 (previous step)

# bytes < # bits2bytes(sgn(bytes2bits(bytes))) ⊦ bytes = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ # bits % 8 = 0 ∧ bits ≠ [] → # bits2bytes(bits) = # bits / 8
Proof step 10:
¬(# sgn(bytes2bits(bytes)) % 8 = 0 ∧ sgn(bytes2bits(bytes)) ≠ []), # bytes < # bits2bytes(sgn(bytes2bits(bytes))) ⊦ bytes = []
Proof step 18:
# sgn(bytes2bits(bytes)) % 8 = 0 ∧ sgn(bytes2bits(bytes)) ≠ [], # bytes < # sgn(bytes2bits(bytes)) / 8 ⊦ bytes = []

Rule argument

spec: inst: name: bits2bytes-len-01 seq: ⊦ # bits % 8 = 0 ∧ bits ≠ [] → # bits2bytes(bits) = # bits / 8 subst: [bits] → [sgn(bytes2bits(bytes))] flags: rewrite, current

Additional information

Used terms: sgn(bytes2bits(bytes))