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

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

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 ...
Positive: 61 %
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 ...
Positive: 58 %

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Can anyone prove that [math]e^x = 1+ \frac{x} ... Now let's prove the intermediate value theorem. ... This is trivially a subset of (a,b) ...
Positive: 61 %
Equivalence Relations ... Let A and B be sets. ... ty set is a subset of every set. Two sets intersect if they are not dis ...
Positive: 56 %
Now we just have to prove that this is true for unbounded sets. Let B ... Can anyone figure this out? ... Prove that for any sequence of sets B_i och X ...