Let P be a subposet of Q. This means that the elements of P are a subset of the elements

Chapter 58, Problem 58.4

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Let P be a subposet of Q. This means that the elements of P are a subset of the elements of Q, and the relation between elements of P are exactly the same as their relation in Q (i.e., x y in P iff x y in Q). Prove that dim P dim Q.

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