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Proof step 3 from proof int2bytes-len-ls-neg-02 (previous step)

⊦ i < 0 ∧ int2bytes(i).first ≠ i2b(~1) → (¬ n ≤ # int2bytes(i) ↔ ~(2 ^ (8 * (n→i(n) - 1))) ≤ i)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ i < 0 ∧ int2bytes(i).first ≠ i2b(~1) → (n ≤ # int2bytes(i) ↔ i < ~(2 ^ (8 * (n→i(n) - 1))))

Rule argument

name: int2bytes-len-le-neg rotate: F subst: [i, n] → [i, n]

Additional information

Used simplifier rules: ⊦ i < j → (¬ ¬ j ≤ i ↔ false);% ⊦ ¬ m ≤ n ↔ n < m;% ⊦ i < ~ j ↔ i + j < 0;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ ~ i ≤ j ↔ 0 ≤ i + j;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i * j = j * i;% ⊦ i + j = j + i;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false); Used terms: i, n