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Proof step 1 from proof heap-order-add-parent-key (conclusion)

n + 1 ≤ # kar, n ≠ 0 ⊦ heap-order(kar, n) ∧ kar[(n - 1) / 2] = key-index(key, m) → heap-order(kar[n, key-index(key, m)], n + 1)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information