Consider the following premises. If Michael were a poet, then Patricia is a janitor. If Patricia were a janitor, then it is cold. If Richard were an artist, then Michael is a poet. If Linda plays tennis, then Richard is an artist. Can we infer the following from them? If we can, name the inference rule being used: The fact that Linda plays tennis does not imply that it is cold.
 From the fact that if Michael were a poet, then Patricia is a janitor, and that if Patricia were a janitor, then it is cold we can infer that if Michael were a poet, then it is cold via transitivity. From the fact that if Richard were an artist, then Michael is a poet, and that if Michael were a poet, then it is cold we can infer that if Richard were an artist, then it is cold via transitivity. Finally, from the fact that if Linda plays tennis, then Richard is an artist, and that if Richard were an artist, then it is cold we can infer that if Linda plays tennis, then it is cold via transitivity, which contradicts that The fact that Linda plays tennis does not imply that it is cold. Therefore, the answer is no.