Consider the following premises. For all x_19, x_19 is a police officer if and only if x_19 is a lawyer. If Jessica were a police officer, then it is sunny. It is sunny if and only if Jessica is a lawyer. Can we infer the following from them? Jessica is a lawyer if and only if it is sunny.
 From the fact that for all x_19, x_19 is a police officer if and only if x_19 is a lawyer we can infer that for all x_19, if x_19 were a lawyer, then x_19 is a police officer. From the fact that for all x_19, if x_19 were a lawyer, then x_19 is a police officer we can infer that if Jessica were a lawyer, then Jessica is a police officer. From the fact that if Jessica were a lawyer, then Jessica is a police officer, and that if Jessica were a police officer, then it is sunny we can infer that if Jessica were a lawyer, then it is sunny. From the fact that it is sunny if and only if Jessica is a lawyer we can infer that if it is sunny, then Jessica is a lawyer. Finally, from the fact that if Jessica were a lawyer, then it is sunny, and that if it is sunny, then Jessica is a lawyer we can infer that Jessica is a lawyer if and only if it is sunny. Therefore, the answer is yes.