Notation for Referencing Elements in a Set

AI Thread Summary
The discussion centers on finding notation to reference elements exclusively within a specific set. The user initially suggests using intersections and complements but seeks a more direct notation. It is clarified that set difference notation, such as A \ B, effectively indicates elements in set A that are not in set B. Additionally, A \ (B ∪ C) can be used to denote elements in A that are not in either B or C. The conversation emphasizes the utility of set difference for this purpose.
danago
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Hi. I am just wondering, is there any notation i can use to refer to elements ONLY in a certain set. Usually, given sets A, B and C, i could refer to elements of only set A as A \cap \overline B \cap \overline C, but is there some notation that specifically refers to elements ONLY in a certains set?
 
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I can't think of anything offhand. The question, as posed, is silly. Care to put it in context?
 
danago said:
Hi. I am just wondering, is there any notation i can use to refer to elements ONLY in a certain set.

\in A ....??
 
Set difference is the usual notation: A\B is the set of elements of A that are not in B. A\(BUC) is the set of elements of A that are not in B or C.
 

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