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: William is a carpenter. Elisabeth is running if and only if William is a carpenter. If Elisabeth goes running, then it is late.
If Elisabeth goes running, then William is a carpenter can be inferred via the biconditional elimination rule. If William were a carpenter, then Elisabeth is running can be inferred via the biconditional elimination rule.