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Proof step 1 from proof cast-add-2pot-h (conclusion)

⊦ ~(2 ^ i) < j ∧ j < 0 ∧ 0 < i → cast(i, j + 2 ^ i) = cast(i, j)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
j < 0, 0 < i, 0 < j + 2 ^ i ⊦ cast(i, j + 2 ^ i) = cast(i, j)

Rule argument

Additional information

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