Transitive Relations: Difference between revisions

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	===Mathematical Definition===		===Mathematical Definition===
	A binary relation <span style="font-size:150%">R; ~~italics~~''</span> defined on a set S is said to be transitive if, for any elements A, B, and C in the set S, given that A R B and B R C, it necessarily follows that A R C.		A binary relation <span style="font-size:150%">R; font-style=italic''</span> defined on a set S is said to be transitive if, for any elements A, B, and C in the set S, given that A R B and B R C, it necessarily follows that A R C.