Consider the following premises. For all x_8, if x_8 plays squash, then x_8 is a musician. For all x_8, if x_8 were a soldier, then x_8 is a poet. For all x_8, if x_8 were a musician, then x_8 is a soldier. There is at least one x_8 for which if x_8 were a poet, then x_8 is playing squash. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_8 for which if x_8 were a soldier, then x_8 is playing squash.
 From the fact that for all x_8, if x_8 plays squash, then x_8 is a musician, and that for all x_8, if x_8 were a musician, then x_8 is a soldier we can infer that for all x_8, if x_8 plays squash, then x_8 is a soldier via universal transitivity. Finally, from the fact that for all x_8, if x_8 were a soldier, then x_8 is a poet, and that there is at least one x_8 for which if x_8 were a poet, then x_8 is playing squash we can infer that there is at least one x_8 for which if x_8 were a soldier, then x_8 is playing squash via existential transitivity. Therefore, the answer is yes.