Transitive relation

Type of binary relation / From Wikipedia, the free encyclopedia

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In mathematics, a relation R on a set X is transitive if, for all elements a, b, c in X, whenever R relates a to b and b to c, then R also relates a to c. Each partial order as well as each equivalence relation needs to be transitive.

Quick facts: Type, Field, Statement, Symbolic statement...
Transitive relation
TypeBinary relation
FieldElementary algebra
StatementA relation on a set is transitive if, for all elements , , in , whenever relates to and to , then also relates to .
Symbolic statement

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