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Proof step 1 from proof cast-max (conclusion)

⊦ 0 < i → cast(i, j) < 2 ^ (i - 1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

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