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: Patricia is playing squash if and only if it is cold. Patricia is not playing squash. Thomas is a politician if and only if Elisabeth is playing a game. If Elisabeth plays a game, then it is cold.
If Patricia plays squash, then it is cold can be inferred via the biconditional elimination rule. If Thomas were a politician, then Elisabeth is playing a game can be inferred via the biconditional elimination rule. If it is cold, then Patricia is playing squash can be inferred via the biconditional elimination rule. If Elisabeth plays a game, then Thomas is a politician can be inferred via the biconditional elimination rule. It is not cold can be inferred via the biconditional elimination rule.