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: Karen is climbing a mountain if and only if it is overcast. Karen is climbing a mountain if and only if Jennifer is a poet. If it is late, then it is overcast. Jennifer is not a poet.
If Karen climbs a mountain, then it is overcast can be inferred via the biconditional elimination rule. If Karen climbs a mountain, then Jennifer is a poet can be inferred via the biconditional elimination rule. If it is overcast, then Karen is climbing a mountain can be inferred via the biconditional elimination rule. If Jennifer were a poet, then Karen is climbing a mountain can be inferred via the biconditional elimination rule. Karen is not climbing a mountain can be inferred via the biconditional elimination rule.