Some surjective functions from A to B are not injective( Here A and B are variables representing two sets. The universe is the set of all functions from A to B)
What would the open sentence using quanitifiers for this statement be.
there exists 2 elements in A such that if there exists an element of A for all elements of B then 2 elements of B are equal and the corresponding elements in a are not equal
Well, this phrase is an attempted answer, not the problem statement.
Your sentence starts with "there exists 2 elements in A", but "Some surjective functions" is talking about functions from A -> B, not elements of A.
The outline of the sentence is: There exist a function f such that f is surjective and f is not injective. Then you may need to expand the definitions of "surjective" and "injective".