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_8, x_8 will work if and only if x_8 will play squash. For all x_8, x_8 is not excited. For all x_8, x_8 will make tea if and only if x_8 will work. For all x_8, x_8 will play squash if and only if x_8 is excited.
For all x_8, if x_8 works, then x_8 is playing squash can be inferred via the universal biconditional elimination rule. For all x_8, if x_8 makes tea, then x_8 is working can be inferred via the universal biconditional elimination rule. For all x_8, if x_8 plays squash, then x_8 is excited can be inferred via the universal biconditional elimination rule. For all x_8, if x_8 plays squash, then x_8 is working can be inferred via the universal biconditional elimination rule. For all x_8, if x_8 works, then x_8 is making tea can be inferred via the universal biconditional elimination rule. For all x_8, if x_8 were excited, then x_8 is playing squash can be inferred via the universal biconditional elimination rule. For all x_8, x_8 will not play squash can be inferred via the universal biconditional elimination rule.