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Proof step 5 from proof int2bytes-len-neg256 (previous step)

# int2bits(i) = 9, ~256 ≤ i, i < ~128, i < 0 ⊦ # bits2bytes(int2bits(i)) = 2

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ # bits % 8 ≠ 0 → # bits2bytes(bits) = # bits / 8 + 1
Proof step 7:
¬ # int2bits(i) % 8 ≠ 0, # int2bits(i) = 9, ~256 ≤ i, i < ~128, i < 0 ⊦ # bits2bytes(int2bits(i)) = 2
Proof step 8:
# int2bits(i) % 8 ≠ 0, # int2bits(i) = 9, ~256 ≤ i, i < ~128, i < 0 ⊦ # int2bits(i) / 8 + 1 = 2

Rule argument

name: bits2bytes-len-02 rotate: F subst: [bits] → [int2bits(i)]

Additional information

Used terms: int2bits(i)