Consider the following premises. Joseph is sad if and only if Jessica is curious. If Jessica were curious, then it is overcast. Joseph is sad or it is not overcast. Can we infer the following from them? The fact that Joseph were sad does not imply that Jessica is curious.
 From the fact that Joseph is sad or it is not overcast we can infer that if it is overcast, then Joseph is sad. From the fact that if Jessica were curious, then it is overcast, and that if it is overcast, then Joseph is sad we can infer that if Jessica were curious, then Joseph is sad. Finally, from the fact that Joseph is sad if and only if Jessica is curious we can infer that if Joseph were sad, then Jessica is curious, which contradicts that The fact that Joseph were sad does not imply that Jessica is curious. Therefore, the answer is no.