Consider the following premises. If Joseph were a carpenter, then Richard is playing squash. If Richard plays squash, then Joseph is a soldier. For all z_2, if z_2 were a soldier, then z_2 is a carpenter. Can we infer the following from them? If we can, name the inference rule being used: If Richard plays squash, then Joseph is a carpenter.
 From the fact that for all z_2, if z_2 were a soldier, then z_2 is a carpenter we can infer that if Joseph were a soldier, then Joseph is a carpenter via universal instantiation. Finally, from the fact that if Richard plays squash, then Joseph is a soldier, and that if Joseph were a soldier, then Joseph is a carpenter we can infer that if Richard plays squash, then Joseph is a carpenter via transitivity. Therefore, the answer is yes.