Consider the following premises. Michael is not climbing a mountain. Linda is a poet. Michael is climbing a mountain or it is not raining. Can we infer the following from them? Linda is a poet and it is not raining.
 From the fact that Michael is climbing a mountain or it is not raining we can infer that if it rains, then Michael is climbing a mountain. From the fact that if it rains, then Michael is climbing a mountain, and that Michael is not climbing a mountain we can infer that it is not raining. Finally, from the fact that Linda is a poet, and that it is not raining we can infer that Linda is a poet and it is not raining. Therefore, the answer is yes.