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Proof step 92 from proof rightshift-8-01-01 (previous step)

i→n(j) < # int2bytes(i), i < 0 ⊦ j = 0, bytes2int(firstn(# int2bytes(i) - i→n(j), int2bytes(i))) = bytes2int(mklist(i2b(~1), 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 93:
⊦ b2i(bytes.first) < 0 ∧ bytes ≠ [] → bytes2int(mklist(i2b(~1), n) + bytes) = bytes2int(bytes)
Proof step 94:
¬(b2i(firstn(# int2bytes(i) - i→n(j), int2bytes(i)).first) < 0 ∧ firstn(# int2bytes(i) - i→n(j), int2bytes(i)) ≠ []), i→n(j) < # int2bytes(i), i < 0 ⊦ j = 0, bytes2int(firstn(# int2bytes(i) - i→n(j), int2bytes(i))) = bytes2int(mklist(i2b(~1), i→n(j)) + firstn(# int2bytes(i) - i→n(j), int2bytes(i)))

Rule argument

name: bytes2int-mklist-mones-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)