What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: If it is windy, then Richard is a carpenter. If Richard were poor, then it is windy. For all x_12, x_12 is poor if and only if x_12 is a carpenter.
If Richard were poor, then Richard is a carpenter can be inferred via the transitivity rule. For all x_12, if x_12 were poor, then x_12 is a carpenter can be inferred via the universal biconditional elimination rule. For all x_12, if x_12 were a carpenter, then x_12 is poor can be inferred via the universal biconditional elimination rule.