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Proof step 8 from proof bint-carry-01 (previous step)

⊦ ¬ 2147483647 < (band(4294967295, i) + band(4294967295, j)) l>>> 32

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
0 < (band(4294967295, i) + band(4294967295, j)) l>>> 32, 2147483647 < (band(4294967295, i) + band(4294967295, j)) l>>> 32 ⊦

Rule argument

Additional information

Used simplifier rules: i0 ≠ 0, i0 < i ⊦ (* i) < j → (* i0) < j;% ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward)% ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)