I need to write the quotient set of this relation: Over the set: $\mathbb{N}$ $ aRb \leftrightarrow (2 \nmid a \cdot b ~ \vee a=b)$
So the equivalence sets are: $\{1,3,5,7, \dots\}$ and all the singletons: $\{2\}, \{3\} , \dots $
Does this count as a "well written" (and true?) answer (final answer only):
$\{a : 2 \nmid a \in \mathbb{N}\} \cup \{ \{a\} : 2 \mid a \in \mathbb{N} \}$
Because I am not sure of how to write it in a formal mathematical way..
Thank you!