Consider the following premises. There is at least one x_7 for which x_7 is a police officer or x_7 will make tea. For all x_7, x_7 will not work. For all x_7, if x_7 were a police officer, then x_7 is a server. For all x_7, x_7 will work if and only if x_7 is a server. Can we infer the following from them? For all x_7, x_7 will work if and only if x_7 is a server.
That is one of the premises. Therefore, the answer is yes.