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 Patricia were excited, then it is cold. If James were a sailor, then it is cold. James is a sailor or Patricia is excited. If it is cold, then James is a sailor.
If Patricia were excited, then James is a sailor can be inferred via the transitivity rule. It is cold can be inferred via the disjunction elimination rule. James is a sailor if and only if it is cold can be inferred via the biconditional introduction rule. It is cold if and only if James is a sailor can be inferred via the biconditional introduction rule.