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_11, x_11 is an artist if and only if x_11 will sleep. For all x_11, x_11 is an artist if and only if x_11 is a lawyer. For all x_11, if x_11 were a lawyer, then x_11 is cooking.
For all x_11, if x_11 were an artist, then x_11 is sleeping can be inferred via the universal biconditional elimination rule. For all x_11, if x_11 were an artist, then x_11 is a lawyer can be inferred via the universal biconditional elimination rule. For all x_11, if x_11 sleeps, then x_11 is an artist can be inferred via the universal biconditional elimination rule. For all x_11, if x_11 were a lawyer, then x_11 is an artist can be inferred via the universal biconditional elimination rule.