What is the difference between two objects mapping to the same set and equality?

If two functions mapped to the same value everywhere of interest, does that have the same meaning as the two functions being equal?

J2016-07-31T18:04:13Z

Favorite Answer

Let

f:A-->B and g:C-->D

be two functions

then

f=g

means

A=C and B=D and for each u in A, f(u) = g(u).