The mathematical quantifiers for all and there exists are well-known. In this exercise we will write similar Scheme quantifier functions.
The function (for-all lst p) is supposed to check if all elements in the list lst satisfy the predicate p.
The function (there-exists lst p) is supposed to check if one or more elements in the list lst satisfy the predicate p.
Finally, the function (there-exists-1 lst p) is supposed to check if exactly on element in the list lst satisfies p.
Program and test these functions.
You should in addition consider how to program these function by use of map, filter, and reduction (accumulation).
Please decide if your functions are tail recursive.