Consider the following premises. If Thomas climbs a mountain, then it is windy. John is not writing a letter. If it is windy, then Michael is making tea. If Michael makes tea, then John is writing a letter. If John writes a letter, then Michael is making tea. Can we infer the following from them? Thomas is climbing a mountain.
 From the fact that if Thomas climbs a mountain, then it is windy, and that if it is windy, then Michael is making tea we can infer that if Thomas climbs a mountain, then Michael is making tea. From the fact that if John writes a letter, then Michael is making tea, and that if Michael makes tea, then John is writing a letter we can infer that John is writing a letter if and only if Michael is making tea. From the fact that John is writing a letter if and only if Michael is making tea, and that John is not writing a letter we can infer that Michael is not making tea. Finally, from the fact that if Thomas climbs a mountain, then Michael is making tea, and that Michael is not making tea we can infer that Thomas is not climbing a mountain, which contradicts that Thomas is climbing a mountain. Therefore, the answer is no.