CMPSC 360 Eram 1 page 6 . (Rules of Inference) (a) Use rules of inference to show that the hypotheses (10 pts.) "If it does not rain or if it is not foggy, then the sailing race will be held and the lifesaving demonstration will go on," "If the sailing race is held, then the trophy will be awarded,"and The trophy was not awarded imply the conclusion "It rained." Let r: It rains," f. It is foggy," : "The sailing race will be held," 1: "The life saving demonstration will go on," and t:"The trophy will be awarded