check validity of argument

PROBLEM 5: Consider the following argument and use rules of inference to check the validity of the argument. Assign letters to each proposition and then write in propositional logic notation before working out a step-by-step two column proof. - Pv a If it does not rain or 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. It is the case that the trophy was not awarded. Therefore, it rained