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Proof step 1 from proof longshiftzero-carry-01 (conclusion)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward)% ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward)% ⊦ i ≤ j ∧ j < j0 → i < j0; (forward)