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_16, x_16 will climb a mountain or x_16 is happy. For all x_16, x_16 is a scientist. For all x_16, if x_16 takes a plane, then x_16 is playing tennis. For all x_16, x_16 will not play a game. For all x_16, x_16 will play tennis if and only if x_16 will play a game. For all x_16, if x_16 climbs a mountain, then x_16 is taking a plane.
For all x_16, if x_16 climbs a mountain, then x_16 is playing tennis can be inferred via the universal transitivity rule. For all x_16, if x_16 plays tennis, then x_16 is playing a game can be inferred via the universal biconditional elimination rule. For all x_16, if x_16 plays a game, then x_16 is playing tennis can be inferred via the universal biconditional elimination rule. For all x_16, x_16 will not play tennis can be inferred via the universal biconditional elimination rule.