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Proof step 8 from proof int2bytes-rec-neg-04 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ int2bytes(i) = bits2bytes(int2bits(i))
Proof step 10:
0 < i, j0 * 2 ^ (i * 8) + 2 ^ (i * 8 - 1) < 0 ⊦ 2 ^ (i * 8) = 0, bits2bytes(int2bits(j0 * 2 ^ (i * 8))) = int2bytes(j0) + fix(i→n(i) + 1, i2b(0) ').rest

Rule argument

name: int2bytes rotate: F subst: [i] → [j0 * 2 ^ (i * 8)]

Additional information

Used terms: j0 * 2 ^ (i * 8)