Consider the following premises. If it is windy, then Elisabeth is climbing a mountain. If Richard were poor, then Sarah is a police officer. If Elisabeth climbs a mountain, then it is windy. If Sarah were a police officer, then it is windy. Can we infer the following from them? The fact that Richard were poor does not imply that Elisabeth is climbing a mountain.
 From the fact that if it is windy, then Elisabeth is climbing a mountain, and that if Elisabeth climbs a mountain, then it is windy we can infer that it is windy if and only if Elisabeth is climbing a mountain. From the fact that if Richard were poor, then Sarah is a police officer, and that if Sarah were a police officer, then it is windy we can infer that if Richard were poor, then it is windy. From the fact that it is windy if and only if Elisabeth is climbing a mountain we can infer that if it is windy, then Elisabeth is climbing a mountain. Finally, from the fact that if Richard were poor, then it is windy, and that if it is windy, then Elisabeth is climbing a mountain we can infer that if Richard were poor, then Elisabeth is climbing a mountain, which contradicts that The fact that Richard were poor does not imply that Elisabeth is climbing a mountain. Therefore, the answer is no.