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 drive a car if and only if x_16 will drink water. For all x_16, x_16 will play a game if and only if x_16 will drink water. There is at least one x_16 for which x_16 will not make tea. For all x_16, x_16 will play a game if and only if x_16 will make tea.
For all x_16, if x_16 drives a car, then x_16 is drinking water can be inferred via the universal biconditional elimination rule. For all x_16, if x_16 plays a game, then x_16 is drinking water can be inferred via the universal biconditional elimination rule. For all x_16, if x_16 plays a game, then x_16 is making tea can be inferred via the universal biconditional elimination rule. For all x_16, if x_16 drinks water, then x_16 is driving a car can be inferred via the universal biconditional elimination rule. For all x_16, if x_16 drinks water, then x_16 is playing a game can be inferred via the universal biconditional elimination rule. For all x_16, if x_16 makes tea, then x_16 is playing a game can be inferred via the universal biconditional elimination rule. There is at least one x_16 for which x_16 will not play a game can be inferred via the existential biconditional elimination rule.