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Ordered pair

Definition

$ X,Y $
$ \langle X,Y \rangle $
$ \{\{X\},\{X,Y\}\} $

Ramifications

Satisfies

$ (\langle x,y \rangle = \langle z,u \rangle) \Leftrightarrow (x=z \land y=u) $

Reference

Mizar files: TARSKI, RELAT_1

Wikipedia: Ordered pair

Context

Parents

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