Definition:Left-Total Relation/Also known as

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Left-Total Relation: Also known as

A left-total relation $\RR \subseteq S \times T$ is also sometimes referred to as:

A total relation, but $\mathsf{Pr} \infty \mathsf{fWiki}$ already has a definition for such a concept
A relation on $S$, but this can be confused with an endorelation
A multiple-valued function or multifunction, but the latter is usually reserved for complex functions

The term left-total relation is usually preferred.