Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

How could I write the intersection of all subsets in $S$ containing $E$ in symbols?

Something like? $$\bigcap_{E\subset C}C$$

share|improve this question
add comment

1 Answer 1

$$\bigcap\bigl\{C\subset S:E\subset C\bigr\}$$ or $$\bigcap_{E\subset C\subset S}C$$


It's worth noting that if you actually meant the intersection of all subsets $C$ of $S$ such that $C$ contains $E$, then there's an even simpler way to write it: $$E.$$ This may, of course, be what you're trying to prove.

If the $C$ are meant to be elements of $S$, rather than subsets, simply replace $C\subset S$ with $C\in S$ in the first two versions I gave (and in that case, the intersection may not be $E$, depending on what $S$ is).

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.