Let A and B be sets. Prove that A intersect B = A iff A is a subset of B. Can anyone prove this?

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Let $A,B \text{ and } C$ are three sets then if $ A \subset B, B \subset C, C \subset A \Rightarrow B = C ... This is effectively asking to prove $B ...
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Let $A,B$ be compact subsets of $X$. Prove that $A \cap B$ is ... Then let $V$ be an open cover of $A \cup B$. Then let $A$ be . current ... Anybody can ...
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Advanced Math archive containing a full list of advanced math questions and answers from November 21, 2013.
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61 %