Need help with number II thank you

II. A mathematical qroup is a set S, a binary function f, and a special element e in S such that: 1. S is closed under f 2. f is associative over S 3. e is a (2-sided) identity for f over S 4. every element in S has a (2-sided) inverse for f in S tising constant e, 2-place function f, and the 2 predicates: or (x, y): elements x and y are equal xy s (x) : element x is a member of set s express properties 1-4 in FOL. II. A mathematical qroup is a set S, a binary function f, and a special element e in S such that: 1. S is closed under f 2. f is associative over S 3. e is a (2-sided) identity for f over S 4. every element in S has a (2-sided) inverse for f in S tising constant e, 2-place function f, and the 2 predicates: or (x, y): elements x and y are equal xy s (x) : element x is a member of set s express properties 1-4 in FOL