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