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Proof step 4 from proof rightshift-8-02 (previous step)

# int2bytes(i) = 1 ⊦ i >> 8 = bytes2int(fillsgn(2, int2bytes(i)).butlast)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ # bytes < n ∧ bytes2int(bytes) < 0 → fillsgn(n, bytes) = mklist(i2b(~1), n - # bytes) + bytes
Proof step 6:
¬(# int2bytes(i) < 2 ∧ bytes2int(int2bytes(i)) < 0), # int2bytes(i) = 1 ⊦ i >> 8 = bytes2int(fillsgn(2, int2bytes(i)).butlast)
Proof step 26:
# int2bytes(i) < 2 ∧ bytes2int(int2bytes(i)) < 0, # int2bytes(i) = 1 ⊦ i >> 8 = bytes2int((mklist(i2b(~1), 2 - # int2bytes(i)) + int2bytes(i)).butlast)

Rule argument

name: fillsgn-neg rotate: F subst: [bytes, n] → [int2bytes(i), 2]

Additional information

Used terms: int2bytes(i), 2