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Proof step 14 from proof lil-carry (previous step)

9223372036854775806 < band(4294967295, j) + band(4294967295, j0), 0 < band(4294967295, j) + band(4294967295, j0), band(4294967295, j0) ≤ 4294967295, band(4294967295, j) ≤ 4294967295 ⊦ l2i(i2l(1 + band(4294967295, j) + band(4294967295, j0))) = 1 + band(4294967295, j) + band(4294967295, j0)

User applied rule cut formula

And obtained the following new goals

Proof step 15:
9223372036854775806 < band(4294967295, j) + band(4294967295, j0), 0 < band(4294967295, j) + band(4294967295, j0), band(4294967295, j0) ≤ 4294967295, band(4294967295, j) ≤ 4294967295 ⊦ band(4294967295, j) + band(4294967295, j0) ≤ 4294967295 + 4294967295, l2i(i2l(1 + band(4294967295, j) + band(4294967295, j0))) = 1 + band(4294967295, j) + band(4294967295, j0)

Rule argument

fma: band(4294967295, j) + band(4294967295, j0) ≤ 4294967295 + 4294967295

Additional information

Used simplifier rules: ⊦ band(i, j) = band(j, i);% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i < j ∧ j ≤ j0 → i < j0; (forward) Used formulas: band(4294967295, j) + band(4294967295, j0) ≤ 4294967295 + 4294967295