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: Robert is playing tennis if and only if Jessica is playing squash. Jennifer is not a politician. If Jessica plays squash, then it is snowing. If it is cloudy, then Robert is a poet. Jennifer is a politician if and only if Robert is a poet. If it snows, then it is cloudy.
If Jessica plays squash, then it is cloudy can be inferred via the transitivity rule. If it snows, then Robert is a poet can be inferred via the transitivity rule. If Robert plays tennis, then Jessica is playing squash can be inferred via the biconditional elimination rule. If Jennifer were a politician, then Robert is a poet can be inferred via the biconditional elimination rule. If Jessica plays squash, then Robert is playing tennis can be inferred via the biconditional elimination rule. If Robert were a poet, then Jennifer is a politician can be inferred via the biconditional elimination rule. Robert is not a poet can be inferred via the biconditional elimination rule.