Proper subset definition - Math Insight

A proper subset of a set A is a subset of A that is not equal to A. In other words, if B is a proper subset of A, then all elements of B are in A but A ... Skiptonavigation(PressEnter) Skiptomaincontent(PressEnter) Home Threads Index About PageNavigation Top Contactus login Propersubsetdefinition   Apropersubsetofaset`A`isasubsetof`A`thatisnotequalto`A`.Inotherwords,if`B`isapropersubsetof`A`,thenallelementsof`B`arein`A`but`A`containsatleastoneelementthatisnotin`B`. Forexample,if`A=\{1,3,5\}`then`B=\{1,5\}`isapropersubsetof`A`.Theset`C=\{1,3,5\}`isasubsetof`A`,butitisnotapropersubsetof`A`since`C=A`.Theset`D=\{1,4\}`isnotevenasubsetof`A`,since4isnotanelementof`A`. Seealsopropersuperset.