Irrelevant Disjunction(6 points) Use the rules of the probability calculus to prove the following facts. Let e, e∗, and h be arbitrary sentences each having probability other than 0 or 1. Assume that e is a deductive logical consequence of h (i. e., the argument with premise hand conclusion e is deductively valid), and that Cr(e) does not equal Cr(e∧e∗) (i. e.,e and e∗ are not perfectly correlated)

(i) Cr(e∨e∗)>Cr(e)

ii) μd(e∨e∗,h)< μd (e, h)