Prove that if and , then .

*Proof.*Let be any element in . Then, since , and since . Therefore, . Hence, .∎

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Stumbling Robot

A Fraction of a Dot
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If C is a subset of A and B, then it is a subset of their intersection

* Proof. * Let be any element in . Then, since , and since . Therefore, . Hence, .∎
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### Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):

Prove that if and , then .

I am confident you meant to say instead of .

Subsequently the proof should look as follows:

Let be an element in . Then since , and since .

Therefore, . Hence, .