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Proof step 12 from proof lil-carry (previous step)

0 < band(4294967295, j) + band(4294967295, j0), 9223372036854775806 < band(4294967295, j) + band(4294967295, j0) ⊦ 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

Rule argument

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

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;% ⊦ 0 ≤ i ∧ i ≤ i0 → ¬ i0 < band(i, j);% ⊦ band(i, band(i0, j)) = band(band(i, i0), j);% ⊦ band(i, j) = band(j, i); Used formulas: band(4294967295, j) ≤ 4294967295 ∧ band(4294967295, j0) ≤ 4294967295