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_10, if x_10 drinks water, then x_10 is running. For all x_10, if x_10 goes running, then x_10 is drinking water. For all x_10, x_10 will not work. For all x_10, if x_10 drinks water, then x_10 is running. For all x_10, x_10 will drink water if and only if x_10 will work.
For all x_10, x_10 will drink water if and only if x_10 will go running can be inferred via the universal biconditional introduction rule. For all x_10, x_10 will go running if and only if x_10 will drink water can be inferred via the universal biconditional introduction rule. For all x_10, x_10 will go running if and only if x_10 will drink water can be inferred via the universal biconditional introduction rule. For all x_10, x_10 will drink water if and only if x_10 will go running can be inferred via the universal biconditional introduction rule. For all x_10, if x_10 drinks water, then x_10 is working can be inferred via the universal biconditional elimination rule. For all x_10, if x_10 works, then x_10 is drinking water can be inferred via the universal biconditional elimination rule. For all x_10, x_10 will not drink water can be inferred via the universal biconditional elimination rule.