Definition:Quasi-Reflexive Relation/Class Theory

Definition
Let $V$ be a basic universe

Let $\RR \subseteq V \times V$ be a relation.

$\RR$ is quasi-reflexive :


 * $\forall x \in \Field \RR: \tuple {x, x} \in \RR$

where $\Field \RR$ denotes the field of $\RR$.

Also known as
Some sources use this definition to define a reflexive relation on a basic universe $V$.

Such treatments do not distinguish between a relation which is reflexive on its field and one which is reflexive on an arbitrary subclass of $V$