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Proof step 4 from proof lil-carry (previous step)

¬(~9223372036854775808 ≤ i + band(4294967295, j) + band(4294967295, j0) ∧ i + band(4294967295, j) + band(4294967295, j0) ≤ 9223372036854775807), i ≤ 1, 0 ≤ i ⊦ l2i(i2l(i + band(4294967295, j) + band(4294967295, j0))) = i + band(4294967295, j) + band(4294967295, j0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
i ≤ 1, 0 ≤ i ⊦ l2i(i2l(i + band(4294967295, j) + band(4294967295, j0))) = i + band(4294967295, j) + band(4294967295, j0), ¬ i + band(4294967295, j) + band(4294967295, j0) < ~9223372036854775808 ∧ ¬ 9223372036854775807 < i + band(4294967295, j) + band(4294967295, j0)

Rule argument

Additional information

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