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 y, y will not cook. For all y, y will drink water if and only if y will cook. For all y, y will drink water if and only if y is an artist.
For all y, if y drinks water, then y is cooking can be inferred via the universal biconditional elimination rule. For all y, if y drinks water, then y is an artist can be inferred via the universal biconditional elimination rule. For all y, if y cooks, then y is drinking water can be inferred via the universal biconditional elimination rule. For all y, if y were an artist, then y is drinking water can be inferred via the universal biconditional elimination rule. For all y, y will not drink water can be inferred via the universal biconditional elimination rule.