Consider the following premises. For all x_11, x_11 is curious. For all x_11, x_11 is a carpenter if and only if x_11 is rich. For all x_11, x_11 is not rich. For all x_11, x_11 is a carpenter or x_11 is bored. Can we infer the following from them? If we can, name the inference rule being used: Thomas is not bored.
 From the fact that for all x_11, x_11 is a carpenter if and only if x_11 is rich, and that for all x_11, x_11 is not rich we can infer that for all x_11, x_11 is not a carpenter via universal biconditional elimination. Finally, from the fact that for all x_11, x_11 is a carpenter or x_11 is bored, and that for all x_11, x_11 is not a carpenter we can infer that for all x_11, x_11 is bored via universal disjunctive syllogism, which contradicts that Thomas is not bored. Therefore, the answer is no.