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Proof step 14 from proof intshiftrsign-abs-le (previous step)

¬ i + 1 - 2 ^ band(j, 31) < 0, band(j, 31) < 32, i < 0, 0 < band(j, 31), 0 < abs(i + 1 - 2 ^ band(j, 31)) / 2 ^ band(j, 31) + i ⊦ band(j, 31) = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + 0 = i;% ⊦ i - j < i0 ↔ i < j + i0;% ⊦ ¬ j < 0 → abs(j) = j;