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Proof step 2 from proof int2bytes-len-pos (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ # int2bits(i) % 8 ≠ 0 → # int2bytes(i) = # int2bits(i) / 8 + 1
Proof step 4:
¬ # int2bits(j) % 8 ≠ 0, 0 ≤ i, j < 2 ^ (8 * (i + 1) - 1), 2 ^ (8 * i) ≤ j, 8 * i + 1 < 8 * (i + 1) ⊦ # int2bytes(j) = i→n(i) + 1
Proof step 24:
# int2bits(j) % 8 ≠ 0, 0 ≤ i, j < 2 ^ (8 * (i + 1) - 1), 2 ^ (8 * i) ≤ j, 8 * i + 1 < 8 * (i + 1) ⊦ # int2bits(j) / 8 + 1 = i→n(i) + 1

Rule argument

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

Additional information

Used terms: j