5. Consider the following propositional function: Let F(x,y) be the statement "x can fool y", where U consists of all humans. Express each of the following statements as a proposition. a) Everybody can fool Alan. b) Brianna can fool everybody. c) Everybody can fool somebody. d) There is no one who can fool everybody. e) Everyone can be fooled by somebody. 1) No one can fool both Charlie and Donna. g) Evan or Fiona can fool anybody. h) Someone can fool Greg, but not Helen. 7. Express each of the following English statements using propositional functions and quantifiers. Then, form the negation of each statement, where no negation operator is to the left of a quantifier. Finally, express the negation of each statement in English, without using "it is not the case that". a) All dogs have fleas. b) There is a horse that can sing. c) No monkey can speak French. d) There is a pig that can swim and catch fish