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: It is raining if and only if Karen is climbing a mountain. Karen is not climbing a mountain. It is raining if and only if James is a mechanic.
If it rains, then Karen is climbing a mountain can be inferred via the biconditional elimination rule. If it rains, then James is a mechanic can be inferred via the biconditional elimination rule. If Karen climbs a mountain, then it is raining can be inferred via the biconditional elimination rule. If James were a mechanic, then it is raining can be inferred via the biconditional elimination rule. It is not raining can be inferred via the biconditional elimination rule.