Consider the following premises. There is at least one x_9 for which if x_9 plays a game, then x_9 is a cashier. For all x_9, if x_9 plays tennis, then x_9 is playing squash. For all x_9, if x_9 were a cashier, then x_9 is playing tennis. For all x_9, if x_9 plays squash, then x_9 is playing a game. Can we infer the following from them? For all x_9, the fact that x_9 plays tennis does not imply that x_9 is playing squash.
That contradicts the premises. Therefore the answer is no.