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Proof step 26 from proof intshiftrsign-abs-le (previous step)

0 ≤ i ∧ 0 < band(j, 31) ∧ band(j, 31) < 32, abs(i) < abs(i / 2 ^ band(j, 31)) ⊦

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 ∧ 0 < i → 0 < j ∧ 1 < j; (forward)% ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ abs(2 ^ i) = 2 ^ i;%j ≠ 0 ⊦ abs(i / j) = abs(i) / abs(j);% ⊦ 0 < j → (i ^ j = 0 ↔ i = 0);% ⊦ 0 ≤ i → abs(i) = i;