Consider the following premises. Mary is a doctor if and only if Barbara is an electrician. For all x_15, if x_15 were rich, then x_15 is a doctor. It is raining if and only if Mary is rich. Barbara is not an electrician. Can we infer the following from them? It is raining.
 From the fact that for all x_15, if x_15 were rich, then x_15 is a doctor we can infer that if Mary were rich, then Mary is a doctor. From the fact that Mary is a doctor if and only if Barbara is an electrician, and that Barbara is not an electrician we can infer that Mary is not a doctor. From the fact that if Mary were rich, then Mary is a doctor, and that Mary is not a doctor we can infer that Mary is not rich. Finally, from the fact that it is raining if and only if Mary is rich, and that Mary is not rich we can infer that it is not raining, which contradicts that It is raining. Therefore, the answer is no.