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Proof step 9 from proof long-band-add (previous step)

0 < band(4294967295, i) + band(4294967295, j), 9223372036854775807 < band(4294967295, i) + band(4294967295, j) ⊦ l2i(i2l(band(4294967295, i) + band(4294967295, j))) = band(4294967295, i) + band(4294967295, j)

User applied rule cut formula

And obtained the following new goals

Rule argument

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

Additional information

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