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: If it is overcast, then Patricia is playing a game. Elisabeth is a bartender if and only if it is overcast. For all x_10, x_10 will not play a game.
If Elisabeth were a bartender, then it is overcast can be inferred via the biconditional elimination rule. If it is overcast, then Elisabeth is a bartender can be inferred via the biconditional elimination rule.