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Proof step 29 from proof fillsgn-butlast (previous step)

bytes2int(bytes0 + by ') < 0, 0 ≤ bytes2int(bytes0), # bytes0 < n ⊦ bytes0 = [], fillsgn(n, bytes0) = mklist(i2b(~1), 1 + (n - # bytes0 + 1)) + bytes0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 30:
⊦ bytes ≠ [] → (bytes2int(bytes) < 0 ↔ b2i(bytes.first) < 0)
Proof step 31:
bytes0 + by ' ≠ [], b2i((bytes0 + by ').first) < 0, 0 ≤ bytes2int(bytes0), # bytes0 < n ⊦ bytes0 = [], fillsgn(n, bytes0) = mklist(i2b(~1), 1 + (n - # bytes0 + 1)) + bytes0

Rule argument

name: bytes2int-neg rotate: F subst: [bytes] → [bytes0 + by ']

Additional information

Used simplifier rules: ⊦ ¬ bytes + bytes0 ≠ [] ↔ bytes = [] ∧ bytes0 = [];% ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1; Used terms: bytes0 + by '