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binary_relation [2014/03/21 11:11] 127.0.0.1 external edit |
binary_relation [2014/04/01 16:26] nikolaj |
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| ==== Set ==== | ==== Set ==== | ||
| | @#55CCEE: context | @#55CCEE: $X,Y$ | | | @#55CCEE: context | @#55CCEE: $X,Y$ | | ||
| - | |||
| | @#FFBB00: definiendum | @#FFBB00: $ \text{Rel}(X,Y) \equiv \mathcal{P}(X\times Y) $ | | | @#FFBB00: definiendum | @#FFBB00: $ \text{Rel}(X,Y) \equiv \mathcal{P}(X\times Y) $ | | ||
| + | ==== Discussion ==== | ||
| The set of all binary relations on $X\times Y$. | The set of all binary relations on $X\times Y$. | ||
| - | ==== Discussion ==== | ||
| If $R$ is a binary relation, we write $x R y\equiv \langle x,y\rangle \in R$ | If $R$ is a binary relation, we write $x R y\equiv \langle x,y\rangle \in R$ | ||
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| ==== Parents ==== | ==== Parents ==== | ||
| - | === Context === | + | === Requirements === |
| [[Cartesian product]], [[Power set]] | [[Cartesian product]], [[Power set]] | ||
