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Proof step 3 from proof long-band-add (previous step)

¬(~9223372036854775808 ≤ band(4294967295, i) + band(4294967295, j) ∧ band(4294967295, i) + band(4294967295, j) ≤ 9223372036854775807) ⊦ l2i(i2l(band(4294967295, i) + band(4294967295, j))) = band(4294967295, i) + band(4294967295, j)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ l2i(i2l(band(4294967295, i) + band(4294967295, j))) = band(4294967295, i) + band(4294967295, j), ¬ band(4294967295, i) + band(4294967295, j) < ~9223372036854775808 ∧ ¬ 9223372036854775807 < band(4294967295, i) + band(4294967295, j)

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;