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 sunny, then it is cold. Karen is sleeping. If it is cold, then it is sunny. If it is cold, then Michael is not a carpenter. Michael is a carpenter.
It is not cold can be inferred via the modus tollens rule. If it is sunny, then Michael is not a carpenter can be inferred via the transitivity rule. Karen is sleeping and Michael is a carpenter can be inferred via the conjunction rule. Michael is a carpenter and Karen is sleeping can be inferred via the conjunction rule. It is sunny if and only if it is cold can be inferred via the biconditional introduction rule. It is cold if and only if it is sunny can be inferred via the biconditional introduction rule.