What is the meaning of the expression E^F, where both E and F are sets?



In both Halmos' Naive Set Theory and Suppes' Axiomatic Set Theory, the
expression E^F is introduced without any comments. The same text by
Suppes (if you skip a few chapters) refers to E^F as a set of all
functions f: E -> F. So here is my question: for any two arbitrary
sets E and F does the expression E^F mean the set of all function f: E
-> F or is there some other meaning? Thanks, and sorry for possibly
elementary question, but I just can't find the clear-cut definition
anywhere.

.



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