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Proof step 18 from proof longshiftzero-carry-01 (previous step)

¬ ( 0 < 4294967296 ∧ 0 ≤ i + band(4294967295, j) + band(4294967295, j0) - 4294967296 ∧ i + band(4294967295, j) + band(4294967295, j0) - 4294967296 < 4294967296), 0 < (i + band(4294967295, j) + band(4294967295, j0) - 4294967296) / 4294967296, i ≤ (i + band(4294967295, j) + band(4294967295, j0) - 4294967296) / 4294967296, 0 ≤ i + band(4294967295, j) + band(4294967295, j0), 0 ≤ i, i ≤ 1, 0 < i + band(4294967295, j) + band(4294967295, j0), 4294967296 ≤ i + band(4294967295, j) + band(4294967295, j0) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i - j < i0 ↔ i < j + i0;%i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j;% ⊦ i ≤ j - i0 ↔ i + i0 ≤ j;