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: James is a doctor. James is a doctor if and only if Jennifer is sleeping. It is sunny if and only if Jennifer is sleeping.
If James were a doctor, then Jennifer is sleeping can be inferred via the biconditional elimination rule. If it is sunny, then Jennifer is sleeping can be inferred via the biconditional elimination rule. If Jennifer sleeps, then James is a doctor can be inferred via the biconditional elimination rule. If Jennifer sleeps, then it is sunny can be inferred via the biconditional elimination rule.