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Proof step 3 from proof long-shiftzero-in (previous step)

⊦ ~(2 ^ 63) ≤ l2i(lo) l>>> j ∧ l2i(lo) l>>> j ≤ 2 ^ 63 - 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ ¬ l2i(lo) l>>> j < ~9223372036854775808 ∧ ¬ 9223372036854775807 < l2i(lo) l>>> j

Rule argument

Additional information

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