Question: True or false: Given a BST, let (x) be a leaf node, and let (p) be its parent. Then either (1) the key of (p)

True or false: Given a BST, let $x$ be a leaf node, and let $p$ be its parent. Then either (1) the key of $p$ is the smallest key in the BST larger than the key of $x$ or (2) the key of $p$ is the largest key in the BST smaller than the key of $x$.

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