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: Joseph is not playing squash. It is late if and only if it is cloudy. If it is late, then it is cold. It is cold if and only if Joseph is playing squash.
If it is late, then it is cloudy can be inferred via the biconditional elimination rule. If it is cold, then Joseph is playing squash can be inferred via the biconditional elimination rule. If it is cloudy, then it is late can be inferred via the biconditional elimination rule. If Joseph plays squash, then it is cold can be inferred via the biconditional elimination rule. It is not cold can be inferred via the biconditional elimination rule.