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Proof step 20 from proof longshiftzero-carry-01 (previous step)

i + band(4294967295, j) + band(4294967295, j0) < i + band(4294967295, j) + 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), 8589934592 ≤ i + band(4294967295, j) + band(4294967295, j0) ⊦

User applied rule cut formula

And obtained the following new goals

Proof step 21:
8589934592 < i + band(4294967295, j) + 4294967296, i + band(4294967295, j) + band(4294967295, j0) < i + band(4294967295, j) + 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), 8589934592 ≤ i + band(4294967295, j) + band(4294967295, j0) ⊦
Proof step 24:
i + band(4294967295, j) + band(4294967295, j0) < i + band(4294967295, j) + 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), 8589934592 ≤ i + band(4294967295, j) + band(4294967295, j0) ⊦ 8589934592 < i + band(4294967295, j) + 4294967296

Rule argument

fma: 8589934592 < i + band(4294967295, j) + 4294967296

Additional information

Used formulas: 8589934592 < i + band(4294967295, j) + 4294967296