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Proof step 83 from proof rightshift-8-01-01 (previous step)

i→n(j) < # int2bytes(i), 0 ≤ i ⊦ j = 0, bytes2int(firstn(# int2bytes(i) - i→n(j), int2bytes(i))) = bytes2int(mklist(i2b(0), i→n(j)) + firstn(# int2bytes(i) - i→n(j), int2bytes(i)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 84:
⊦ 0 ≤ b2i(bytes.first) ∧ bytes ≠ [] → bytes2int(mklist(i2b(0), n) + bytes) = bytes2int(bytes)
Proof step 85:
¬(0 ≤ b2i(firstn(# int2bytes(i) - i→n(j), int2bytes(i)).first) ∧ firstn(# int2bytes(i) - i→n(j), int2bytes(i)) ≠ []), i→n(j) < # int2bytes(i), 0 ≤ i ⊦ j = 0, bytes2int(firstn(# int2bytes(i) - i→n(j), int2bytes(i))) = bytes2int(mklist(i2b(0), i→n(j)) + firstn(# int2bytes(i) - i→n(j), int2bytes(i)))

Rule argument

name: bytes2int-mklist-zeros-01 rotate: F subst: [bytes, n] → [firstn(# int2bytes(i) - i→n(j), int2bytes(i)), i→n(j)]

Additional information

Used terms: firstn(# int2bytes(i) - i→n(j), int2bytes(i)), i→n(j)