Category:Definitions/Many-to-One Relations

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This category contains definitions related to Many-to-One Relations.
Related results can be found in Category:Many-to-One Relations.

A relation $\RR \subseteq S \times T$ is many-to-one if and only if:

$\forall x \in \Dom \RR: \forall y_1, y_2 \in \Cdm \RR: \tuple {x, y_1} \in \RR \land \tuple {x, y_2} \in \RR \implies y_1 = y_2$

That is, every element of the domain of $\RR$ relates to no more than one element of its codomain.