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Proof step 74 from proof rightshift-8-01-01 (previous step)

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)))), j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 75:
⊦ # bytes < n ∧ bytes2int(bytes) < 0 → fillsgn(n, bytes) = mklist(i2b(~1), n - # bytes) + bytes
Proof step 76:
¬(# int2bytes(i) < i→n(j) + # int2bytes(i) ∧ bytes2int(int2bytes(i)) < 0), 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)))), j = 0
Proof step 88:
# int2bytes(i) < i→n(j) + # int2bytes(i) ∧ bytes2int(int2bytes(i)) < 0, i→n(j) < # int2bytes(i) ⊦ bytes2int(firstn(# int2bytes(i) - i→n(j), int2bytes(i))) = bytes2int(firstn(# int2bytes(i), mklist(i2b(~1), i→n(j) + # int2bytes(i) - # int2bytes(i)) + int2bytes(i))), j = 0

Rule argument

name: fillsgn-neg rotate: F subst: [bytes, n] → [int2bytes(i), i→n(j) + # int2bytes(i)]

Additional information

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