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(Solved): (5) Let f:XY be a function with graph GfXY. Prove that f is surjective if, and only if, ...

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(5) Let

f : X ⟶ Y

be a function with graph

G_{f} \subseteq X \times Y

. Prove that

f

is surjective if, and only if,

\forall y \in Y, (X \times {y} \cap G_{f}) \neq = \emptyset

.

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