In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $A \subset B$ and $B \in C,$ then $A \in C$
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $A \subset B$ and $B \in C,$ then $A \in C$
False
Let $A=\{2\}, B=\{0,2\},$ and $C=\{1,\{0,2\}, 3\}$
As $A \subset B$
$B \in C$
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