Transitive relation
BINARY RELATION R WITH THE PROPERTY THAT XRY AND YRZ IMPLIES XRZ
Transitive Law; Transitive property; Transitive Property (mathematics); Law of transitivity; Axiom of transitivity; Transitivity (mathematics); Transitive rule; Transitivity (mathmatics)
In mathematics, a relation on a set is transitive if, for all elements , , in , whenever relates to and to , then also relates to . Each partial order as well as each equivalence relation needs to be transitive.