f Is Injective if and Only if f(A∩B) = f(A) ∩ f(B)

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Suppose f : A → B and g : B → A. If g∘f = iA then f is injective. If f∘g = iB then f is surjective.Suppose f : A → B and g : B → A. If g∘f = iA then f is injective. If f∘g = iB then f is surjective.
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