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Is a set a subset of itself?
From Mathematics Is A Science
Jump to navigationJump to searchQuestion: Is a set a subset of itself?
Answer: Yes.
Why: Along with another improper subset, the empty set. If in doubt, (always!) consider the definition: a set $A$ is a subset of $B$ if every element of $A$ is also an element of $B$. This is certainly true if $A=B$. $\blacksquare$
