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Proof step 4 from proof int2bytes-len-le-upper (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ 0 ≤ i ∧ int2bytes(i).first = i2b(0) → (n < # int2bytes(i) ↔ 2 ^ (n→i(n) * 8)-1 ≤ i)

Rule argument

name: int2bytes-len-ls-01 rotate: F subst: [i, n] → [i, n]

Additional information

Used simplifier rules: ⊦ ¬ m < n ↔ n ≤ m;% ⊦ i -1 = i - 1;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i * j = j * i;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false);% ⊦ i < j → (¬ ¬ j ≤ i ↔ false); Used terms: i, n