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Binary relation

Definition

$X,Y$
$ \text{Rel}(X,Y) \equiv \mathcal{P}(X\times Y) $

The set of all binary relations on $X\times Y$.

Discussion

If

$R$

is a binary relation, we write

$x R y\equiv \langle x,y\rangle \in R$

Reference

Mizar files: RELAT_1

Wikipedia: Binary relation

Parents

Requirements

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