Consider the following premises. For all x_13, if x_13 writes a letter, then x_13 is taking a plane. For all x_13, if x_13 takes a plane, then x_13 is bored. If Patricia were bored, then Patricia is writing a letter. Patricia is bored. Can we infer the following from them? If we can, name the inference rule being used: Patricia is bored.
That is one of the premises. Therefore, the answer is yes.