Equivalence Relation/Examples/Equal Fourth Powers over Complex Numbers/Proof 2

Proof
We have that $\RR \subseteq \R \times \R$ is the relation induced by $z^4$:
 * $\tuple {z, w} \in \RR \iff z^4 = w^4$

The result follows from Relation Induced by Mapping is Equivalence Relation.