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Can a partial function be defined as a binary relation that is right-unique*?

* $\forall x \in X$ and $y, z \in Y: xRy \land xRz \Rightarrow y = z$

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Please include the definitions you are working with so people can make sense of the question. – rschwieb Oct 24 '12 at 15:04
@rschwieb done. – prasopes Oct 26 '12 at 13:01
up vote 2 down vote accepted

Yes. Also known as functional.

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