Consider the following premises. Joseph is a janitor if and only if it is raining. Joseph is not bored. Joseph is a janitor if and only if Joseph is bored. Can we infer the following from them? It is raining.
 From the fact that Joseph is a janitor if and only if Joseph is bored, and that Joseph is not bored we can infer that Joseph is not a janitor. Finally, from the fact that Joseph is a janitor if and only if it is raining, and that Joseph is not a janitor we can infer that it is not raining, which contradicts that It is raining. Therefore, the answer is no.