Suppose F:X Y is onto. Prove that for all subsets B Y, F(F1(B)) = B

Chapter 7, Problem 41

(choose chapter or problem)

Suppose \(F: X \rightarrow Y\) is onto. Prove that for all subsets \(B \subseteq Y, \quad F\left(F^{-1}(B)\right)=B\).

Text Transcription:

F: X rightarrow Y

B subseteq Y, quad F(F^-1 (B))=B

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