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: Linda is a carpenter if and only if Patricia is a scientist. If Linda were a carpenter, then it is cold. If it is cold, then Linda is a carpenter.
Linda is a carpenter if and only if it is cold can be inferred via the biconditional introduction rule. It is cold if and only if Linda is a carpenter can be inferred via the biconditional introduction rule. If Linda were a carpenter, then Patricia is a scientist can be inferred via the biconditional elimination rule. If Patricia were a scientist, then Linda is a carpenter can be inferred via the biconditional elimination rule.