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(Solved): (5) Let f:XY be a function with graph GfXY. Prove that f is surjective if, and only if, ...
(5) Let
f
:
X
⟶
Y
be a function with graph
G
f
⊆
X
×
Y
. Prove that
f
is surjective if, and only if,
∀
y
∈
Y
,
(
X
×
{
y
}
∩
G
f
)
=
∅
.
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