FANDOM


A set $ A $ is a subset of a set $ B $ if all of the elements in $ A $ are also in $ B $. Note that $ A $ may be equal to $ B $. This relationship is denoted by $ A\subseteq B $.

Definition

$ A\subseteq B = \forall x( x\in A \to x\in B ) $

Proper subset

A set $ A $ is a proper subset of a set $ B $ if $ A $ is a subset of $ B $ but $ A\ne B $.

This relationship is denoted by $ A\subset B $.


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