One of the basic ways of doing a proof with sets is the Element Argument. What is it?

Element Argument: Proof subset-ness

Let sets and be a given. To prove :

  1. Suppose is a particular but arbitrarily chosen element of ,
  2. Show that is an element of

Proving Sets are Equal:

Basic way of proving sets are equal:

  • Prove
  • Prove

Example: