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_22, x_22 is a carpenter if and only if x_22 will play squash. Michael is not playing squash. It is overcast.
Michael is not playing squash and it is overcast can be inferred via the conjunction rule. It is overcast and Michael is not playing squash can be inferred via the conjunction rule. For all x_22, if x_22 were a carpenter, then x_22 is playing squash can be inferred via the universal biconditional elimination rule. For all x_22, if x_22 plays squash, then x_22 is a carpenter can be inferred via the universal biconditional elimination rule.