Theorem on Equivalence Classes | Equivalence Relation | Mahmood Ul Hassan |
Theorm on Equivalence Classes | Equivalence Relation | @Mhmdulhassan
Let R be an equivalence relation on set A. Then, the following statements for a and b of A are equivalent:
i) aRb
ii) [a] = [b]
iii) Intersection of [a] and [b] is nonempty.