Image And Preimage Property 6

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Problem 60: (Image And Preimage Property 6)

Prove property 6 for preimages. So let $f:X\to Y$. Then prove that

• If $B_1\subseteq Y$ and $B_2\subseteq Y$, then we have $f^{-1}(B_1\cup B_2)=f^{-1}(B_1)\cup f^{-1}(B_2)$.

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