Question: Let T = (V, E) be a rooted tree with root r. Define the relation R on V by x R y, for x, y

Let T = (V, E) be a rooted tree with root r. Define the relation R on V by x R y, for x, y ∈ V, if x = y or if x is on the path from r to y. Prove that R is a partial order.

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