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

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

Rule argument

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

Additional information

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