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Proof step 1 from proof cast-help-comm (conclusion)

0 < i, 0 < i0, i < i0 ⊦ cast(i, cast(i0, j)) = cast(i0, cast(i, j))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i < i0, 0 < i, 0 < i0, 1 < i0 ⊦ cast(i, cast(i0, j)) = cast(i0, cast(i, j))

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward)