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Proof step 17 from proof bytes2int-len-one-02 (previous step)

bytes2int(i2b(0) ' + by ' + bytes0) = 0, 0 ≤ band(255, b2i(by0)), band(255, b2i(by0)) < 128, b2i(by) < 0 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 18:
⊦ by ≠ i2b(0) ∧ by ∈ bytes → bytes2int(bytes) ≠ 0

Rule argument

name: bytes2int-zero-03 rotate: F subst: [by, bytes] → [by, i2b(0) ' + by ' + bytes0]

Additional information

Used simplifier rules: bytes2int-zero-02: ⊦ bytes2int(i2b(0) ' + i2b(0) ' + bytes) = bytes2int(i2b(0) ' + bytes);% ⊦ band(i, j) = band(j, i);% ⊦ by ≠ by0 → (by ∈ by0 ' + bytes ↔ by ∈ bytes);% ⊦ ¬ by ∈ by0 ' + bytes ↔ by ≠ by0 ∧ ¬ by ∈ bytes;% ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1;% ⊦ b2i(i2b(0)) = 0; Used terms: by, i2b(0) ' + by ' + bytes0