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Proof step 17 from proof fillsgn-butlast (previous step)

0 ≤ b2i(bytes.first), # bytes ≤ n, bytes2int(bytes.butlast) < 0 ⊦ # bytes = 1, bytes = [], fillsgn(n, bytes.butlast) = mklist(i2b(0), (n - # bytes) + 1) + bytes.butlast

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 18:
⊦ bytes ≠ [] → (bytes2int(bytes) < 0 ↔ b2i(bytes.first) < 0)
Proof step 19:
¬ bytes.butlast ≠ [], 0 ≤ b2i(bytes.first), # bytes ≤ n, bytes2int(bytes.butlast) < 0 ⊦ # bytes = 1, bytes = [], fillsgn(n, bytes.butlast) = mklist(i2b(0), (n - # bytes) + 1) + bytes.butlast
Proof step 21:
bytes.butlast ≠ [], 0 ≤ b2i(bytes.first), # bytes ≤ n, b2i(bytes.butlast.first) < 0 ⊦ # bytes = 1, bytes = [], fillsgn(n, bytes.butlast) = mklist(i2b(0), (n - # bytes) + 1) + bytes.butlast

Rule argument

name: bytes2int-neg rotate: F subst: [bytes] → [bytes.butlast]

Additional information

Used terms: bytes.butlast