Consider the following premises. There is at least one x_11 for which if x_11 were a mechanic, then x_11 is rich. For all x_11, if x_11 were rich, then x_11 is a mechanic. For all x_11, x_11 is rich or x_11 is not happy. Can we infer the following from them? For all x_11, if x_11 were rich, then x_11 is a mechanic.
That is one of the premises. Therefore, the answer is yes.