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[1WK]Let \(f:A→ B\) be a function, let \(∼\) be an equivalence relation on \(B\): prove that the relation \(R\) between elements of \(A\) given by
\[ xRy\iff f(x)∼ f(y) \]
is an equivalence relation.
[1WK]Let \(f:A→ B\) be a function, let \(∼\) be an equivalence relation on \(B\): prove that the relation \(R\) between elements of \(A\) given by
is an equivalence relation.