Question: Let h: A - B be a one-to-one function from a set A to a set B. The function f can be used to construct

Let h: A - B be a one-to-one function from a set
Let h: A - B be a one-to-one function from a set A to a set B. The function f can be used to construct a function H: P(A) - P(B) as follows: For each X E P(A) H(X) = h(X) (i.e. the image set of X , by h ). Show that H is one-to-one -> h is one-to-one

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