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_7, x_7 will drink water if and only if x_7 is a doctor. If it is cloudy, then Michael is a doctor. Michael is drinking water or it is cloudy.
For all x_7, if x_7 drinks water, then x_7 is a doctor can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 were a doctor, then x_7 is drinking water can be inferred via the universal biconditional elimination rule.