Set theory - Equality

About

Language - Equality in set theory

The equality relationship indicates that two sets are equal if they contain exactly the same elements. (There is no order among elements of a set.)

Articles Related

Notation

Two sets are equal if they contain exactly the same elements. (There is no order among elements of a set.) <MATH>\Large A = B</MATH>

Proof

A convenient way to prove that A and B are equal is to prove that each is a subset of the other. The proof often consists of two parts:

1. a proof that A subset B

   (ie A subset B) and

2. a proof that B subset A

   (ie B subset A)