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

# int2bits(j) % 8 = 0, 2 ^ (8 * i) ≤ 2 ^ (8 * (i + 1) - 1), 0 ≤ i, 0 ≤ 2 ^ (8 * (i + 1) - 1) + j, j + 2 ^ (8 * i) ≤ 0 ⊦ # int2bytes(j) = i→n(i) + 1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ # int2bits(i) % 8 = 0 → # int2bytes(i) = # int2bits(i) / 8
Proof step 7:
# int2bits(j) % 8 = 0, # int2bits(j) % 8 = 0, 2 ^ (8 * i) ≤ 2 ^ (8 * (i + 1) - 1), 0 ≤ i, 0 ≤ 2 ^ (8 * (i + 1) - 1) + j, j + 2 ^ (8 * i) ≤ 0 ⊦ # int2bits(j) / 8 = i→n(i) + 1

Rule argument

name: int2bytes-len-fits rotate: F subst: [i] → [j]

Additional information

Used terms: j