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Proof step 41 from proof rightshift-8-01-01 (previous step)

int2bytes(i).first = i2b(~1), i < 0, # int2bytes(i) ≤ i→n(j), 2 ^ (8 * abs(j) - 1) + i < 0 ⊦ j = 0, i >> 8 * j = ~1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 42:
⊦ int2bytes(i).first = i2b(~1) → (# int2bytes(i) ≤ n ↔ ~(2 ^ (8 * n→i(n) - 1)) ≤ i)

Rule argument

name: int2bytes-len-le-neg-03 rotate: F subst: [n, i] → [i→n(j), i]

Additional information

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