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Proof step 2 from proof int2bytes-rec-pos-03 (previous step)

0 ≤ i % 256, 0 < i % 256, 0 < i, 128 ≤ i % 256, 255 < i ⊦ int2bytes(i) = int2bytes(i / 256) + int2bytes(i % 256).rest

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
255 < i ⊦ int2bytes(i) = int2bytes(i / 256) + int2bytes(i % 256).last '
Proof step 4:
255 < i, 0 ≤ i % 256, 0 < i % 256, 0 < i, 128 ≤ i % 256, 255 < i ⊦ int2bytes(i / 256) + int2bytes(i % 256).last ' = int2bytes(i / 256) + int2bytes(i % 256).rest

Rule argument

name: int2bytes-rec-pos rotate: F subst: [i] → [i]

Additional information

Used terms: i