Suppose that R is a partial order relation on a set A and that B is a sunset of A. The restriction of R to B is defined as follows:
The restriction of R to B
In other words, two elements of B are related by the restriction of R to B if, and only if, they are related by R. Prose that the restriction of R to B is a partial order relation on B. (In less formal language, this says that a subset of a partially ordered set is partially ordered.)
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