Discrete Mathematics with Applications 4th Edition

Recall other ways to express the symbol $\forall$ include: for all, for every, for any, for each, for arbitrary, given any. Other ways to express the symbol $\exists$ include: there exists, there exist, there exists at least one, for some, for at least one, we can find a. When a statement contains more than one quantifier, we imagine the actions suggested by the quantifiers as being performed in the order in which the quantifiers occur.