Use aconditional proofto prove the following argument:

Only a fool would lie about one of Elaine's sorority sisters to her. A classmate of

Elaine's lied about Joanne to her. Therefore, if none of Elaine's classmates are fools, then Joanne is not a sorority sister of Elaine. (F(x) = x is a fool; L(x,y,z) = x lies

about y to z ; C(x,y) = x is a classmate of y; S(x,y) = x is a sorority sister of y;

e = Elaine ; j = Joanne)

Any help? Thanks!