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Proof step 39 from proof no-leading-zero-04 (previous step)

int2bytes(i) = i2b(~1) ' + by ' + bytes, ~256 ≤ i, b2i(by) < 0, i2b(~1) ∈ int2bytes(i), ∀ bytes, by, i0. i→n(i0) < i→n(i) → true → b2i(by) < 0 → int2bytes(i0) ≠ i2b(~1) ' + by ' + bytes ⊦ ~256 ≠ i ∧ ¬ ~128 ≤ i

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

name: int2bytes-minus-256-01 rotate: F subst: [i] → [i]

Additional information

Used simplifier rules: ⊦ bytes + by = bytes + by ';% ⊦ bytes + bytes0 = bytes + bytes1 ↔ bytes0 = bytes1;% ⊦ by ' = by0 ' + bytes ↔ by = by0 ∧ bytes = [];% ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1;% ⊦ by ∈ bytes + bytes0 ↔ ¬ ¬(by ∈ bytes ∨ by ∈ bytes0);% ⊦ by ∈ by0 ' ↔ by = by0;% ⊦ b2i(i2b(0)) = 0; Used terms: i