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Proof step 1 from proof rightshift-8-01-01 (conclusion)

⊦ i >> 8 * j = bytes2int(firstn(# int2bytes(i), fillsgn(i→n(j) + # int2bytes(i), int2bytes(i))))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ i→n(j) < # int2bytes(i) → i >> 8 * j = bytes2int(firstn(# int2bytes(i) - i→n(j), int2bytes(i)))
Proof step 3:
¬ i→n(j) < # int2bytes(i) ⊦ i >> 8 * j = bytes2int(firstn(# int2bytes(i), fillsgn(i→n(j) + # int2bytes(i), int2bytes(i))))
Proof step 70:
i→n(j) < # int2bytes(i) ⊦ bytes2int(firstn(# int2bytes(i) - i→n(j), int2bytes(i))) = bytes2int(firstn(# int2bytes(i), fillsgn(i→n(j) + # int2bytes(i), int2bytes(i))))

Rule argument

name: rightshift-8-01 rotate: F subst: [j, i] → [j, i]

Additional information

Used terms: j, i