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Proof step 7 from proof int2bytes-rec-neg-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ int2bytes(i) = bits2bytes(int2bits(i))
Proof step 9:
j % 2 ^ (i * 8) = 0, 0 < i, j + 2 ^ (i * 8) < 0 ⊦ bits2bytes(int2bits(j / 2 ^ (i * 8)) + mklist(false, i→n(i * 8))) = bits2bytes(int2bits(j / 2 ^ (i * 8))) + fix(i→n(i) + 1, i2b(0) ').rest

Rule argument

name: int2bytes rotate: F subst: [i] → [j / 2 ^ (i * 8)]

Additional information

Used terms: j / 2 ^ (i * 8)