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Proof step 19 from proof int2bytes-rec-neg-04 (previous step)

i→n(i * 8) % 8 = 0, 0 < i, j0 * 2 ^ (i * 8) + 2 ^ (i * 8 - 1) < 0 ⊦ bits2bytes(int2bits(j0)) + bits2bytes(mklist(false, i→n(i * 8))) = int2bytes(j0) + fix(i→n(i) + 1, i2b(0) ').rest, j0 = 0, i = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 20:
⊦ int2bytes(i) = bits2bytes(int2bits(i))
Proof step 21:
i→n(i * 8) % 8 = 0, 0 < i, j0 * 2 ^ (i * 8) + 2 ^ (i * 8 - 1) < 0 ⊦ bits2bytes(int2bits(j0)) + bits2bytes(mklist(false, i→n(i * 8))) = bits2bytes(int2bits(j0)) + fix(i→n(i) + 1, i2b(0) ').rest, j0 = 0, i = 0

Rule argument

name: int2bytes rotate: F subst: [i] → [j0]

Additional information

Used terms: j0