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Proof step 4 from proof longshiftzero-carry (previous step)

¬ 0 ≤ i + band(4294967295, j) + band(4294967295, j0), 0 ≤ i, (i + band(4294967295, j) + band(4294967295, j0)) l>>> 32 < 0, i ≤ 1 ⊦

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: band-32-not-neg: ⊦ ¬ band(4294967295, i) + band(4294967295, j) < 0;%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 + i0 = (i + j) + i0;% ⊦ i + j < j ↔ i < 0;% ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)% ⊦ i < j ∧ j ≤ j0 → i < j0; (forward)% ⊦ ¬ i ≤ j ↔ j < i;