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Proof step 1 from proof cast-nls (conclusion)

⊦ j0 ≤ ~(2 ^ (i - 1)) ∧ 0 < i → ¬ cast(i, j) < j0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
cast(i, j) < j0, 0 < i, j0 + 2 ^ (i - 1) ≤ 0, j0 + 2 ^ (i - 1) < i ⊦

Rule argument

Additional information

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