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: Jennifer is playing a game if and only if it is cold. If Jennifer plays a game, then David is reading a book. If it is overcast, then David is reading a book. It is cold or it is overcast.
If Jennifer plays a game, then it is cold can be inferred via the biconditional elimination rule. If it is cold, then Jennifer is playing a game can be inferred via the biconditional elimination rule.