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 Linda drinks water, then it is cold. Thomas is not an astronaut. Thomas is an astronaut if and only if it is cold. If Michael were a bartender, then Linda is drinking water.
If Michael were a bartender, then it is cold can be inferred via the transitivity rule. If Thomas were an astronaut, then it is cold can be inferred via the biconditional elimination rule. If it is cold, then Thomas is an astronaut can be inferred via the biconditional elimination rule. It is not cold can be inferred via the biconditional elimination rule.