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Proof step 1 from proof long-min-01 (conclusion)

⊦ i ≤ ~9223372036854775808 → ¬ l2i(lo) < i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i < 0, l2i(lo) < ~9223372036854775808, i ≤ ~9223372036854775808, l2i(lo) < i, l2i(lo) < 0 ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ i < (* j) ∧ j < 0 → i < 0; (forward)% ⊦ i < 0 ∧ 0 ≤ j → i ≤ j;% ⊦ i < j ∧ j ≤ j0 → i < j0; (forward)% ⊦ j ≤ i ∧ i < 0 → j < 0; (forward)% ⊦ j ≤ i ∧ i ≤ 0 → j ≤ 0; (forward)