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Proof step 1 from proof int2bytes-len-neg (conclusion)

~(2 ^ (8 * (i + 1) - 1)) ≤ j, j ≤ ~(2 ^ (8 * i)), 0 ≤ i ⊦ # int2bytes(j) = i→n(i + 1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
j + 2 ^ (8 * i) ≤ 0, 0 ≤ 2 ^ (8 * (i + 1) - 1) + j, 0 ≤ i, 2 ^ (8 * i) ≤ 2 ^ (8 * (i + 1) - 1) ⊦ # int2bytes(j) = i→n(i) + 1

Rule argument

Additional information

Used simplifier rules: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j;% ⊦ i + j ≤ i0 + j ↔ i ≤ i0;% ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward)% ⊦ j ≤ i ∧ i ≤ 0 → j ≤ 0; (forward)% ⊦ j ≤ j0 ∧ j0 ≤ j1 → j ≤ j1; (forward)% ⊦ i ≤ ~ j ↔ i + j ≤ 0;% ⊦ ~ i ≤ j ↔ 0 ≤ i + j;% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ 0 ≤ i → i→n(i + 1) = i→n(i) + 1;