Image And Preimage Property 3

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Problem 59: (Image And Preimage Property 3)

Prove property 3 for images. So let $f:X\to Y$. Then prove that

• If $A_1\subseteq X$ and $A_2\subseteq X$, then we have $f(A_1\cap A_2)\subseteq f(A_1)\cap f(A_2)$.

Finish by proving that if $f$ is injective, then equality holds.

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