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transitive_relation [2013/09/02 18:25] nikolaj |
transitive_relation [2014/03/21 11:11] (current) |
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===== Transitive relation ===== | ===== Transitive relation ===== | ||
- | ==== Definition ==== | + | ==== Set ==== |
- | | @#88DDEE: $X$ | | + | | @#55CCEE: context | @#55CCEE: $X$ | |
- | | @#FFBB00: $ R\in\mathrm{TransitiveRel}(X) $ | | + | | @#FFBB00: definiendum | @#FFBB00: $ R\in\mathrm{TransitiveRel}(X) $ | |
- | | @#55EE55: @#FFBB00: $ xRy\land yRz \Leftrightarrow xRz $ | | + | | @#55CCEE: context | @#55CCEE: $ R \in \mathrm{Rel}(X) $ | |
+ | | $ x,y,z\in X $ | | ||
+ | |||
+ | | @#55EE55: postulate | @#55EE55: @#FFBB00: definiendum | @#FFBB00: $ xRy\land yRz \implies xRz $ | | ||
==== Discussion ==== | ==== Discussion ==== | ||
- | ==== Context ==== | + | ==== Parents ==== |
=== Subset of === | === Subset of === | ||
[[Binary relation on a set]] | [[Binary relation on a set]] | ||