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: For all x_5, x_5 is poor or x_5 is rich. For all x_5, if x_5 takes a plane, then x_5 is climbing a mountain. For all x_5, if x_5 climbs a mountain, then x_5 is playing tennis. For all x_5, if x_5 were poor, then x_5 is taking a plane. There is at least one x_5 for which if x_5 were rich, then x_5 is playing tennis.
For all x_5, if x_5 takes a plane, then x_5 is playing tennis can be inferred via the universal transitivity rule. For all x_5, if x_5 were poor, then x_5 is climbing a mountain can be inferred via the universal transitivity rule.