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 Thomas climbs a mountain, then Thomas is sleeping. If Thomas sleeps, then Susan is a poet. Susan is a poet if and only if Thomas is climbing a mountain.
If Thomas climbs a mountain, then Susan is a poet can be inferred via the transitivity rule. If Susan were a poet, then Thomas is climbing a mountain can be inferred via the biconditional elimination rule. If Thomas climbs a mountain, then Susan is a poet can be inferred via the biconditional elimination rule.