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Proof step 1 from proof longshiftzero-carry (conclusion)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
0 ≤ i, (i + band(4294967295, j) + band(4294967295, j0)) l>>> 32 < 0, i ≤ 1 ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ i < 0 ∧ 0 ≤ j → i < j;% ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)% ⊦ i < j ∧ j ≤ j0 → i < j0; (forward)% ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward)