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 Mary writes a letter, then Patricia is climbing a mountain. If Joseph makes tea, then Mary is writing a letter. If Patricia climbs a mountain, then Joseph is making tea. If Joseph makes tea, then Mary is writing a letter.
If Mary writes a letter, then Joseph is making tea can be inferred via the transitivity rule. If Joseph makes tea, then Patricia is climbing a mountain can be inferred via the transitivity rule. If Patricia climbs a mountain, then Mary is writing a letter can be inferred via the transitivity rule. If Patricia climbs a mountain, then Mary is writing a letter can be inferred via the transitivity rule. If Joseph makes tea, then Patricia is climbing a mountain can be inferred via the transitivity rule.