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Proof step 6 from proof intshiftrsign-abs-le (previous step)

¬(0 ≤ i ∧ 0 < band(j, 31) ∧ band(j, 31) < 32), abs(i) < abs(i i>> band(j, 31)) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
abs(i) < abs(i i>> band(j, 31)) ⊦ ¬ i < 0 ∧ ¬ band(j, 31) ≤ 0

Rule argument

Additional information

Used simplifier rules: band-max-05: ⊦ 0 ≤ i ∧ i < i0 → ¬ i0 ≤ band(i, j);%band-associativity: ⊦ band(i, band(i0, j)) = band(band(i, i0), j);%band-commutativity: ⊦ band(i, j) = band(j, i);% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ ¬ i ≤ j ↔ j < i;