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 if and only if x_5 will make tea. For all x_5, x_5 will play a game. For all x_5, if x_5 plays a game, then x_5 is making tea.
For all x_5, x_5 will make tea can be inferred via the universal modus ponens rule. For all x_5, if x_5 were poor, then x_5 is making tea can be inferred via the universal biconditional elimination rule. For all x_5, if x_5 makes tea, then x_5 is poor can be inferred via the universal biconditional elimination rule.