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Proof step 1 from proof cast-nls-01 (conclusion)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ i - j ≤ i0 ↔ i ≤ j + i0;