Yuwei Shang
Abstract
This paper proves that the equivalence relation of a set is the same as that resulted from the quotient set. It also illustrates the identity of partition of a set and quotient set derived from the equivalence relation.
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This paper proves that the equivalence relation of a set is the same as that resulted from the quotient set. It also illustrates the identity of partition of a set and quotient set derived from the equivalence relation.
Key concepts: Equivalence relation, Quotient algebra, Quotient, Congruence relation, Mathematics, Equivalence class (music), Equivalence (formal languages), Set (abstract data type)