Establish by deduction is a process of coming to a conclusion based on evidence and logical reasoning. INFER, DERIVE, and DEDUCE are all terms used to describe this process. Inferring is the process of drawing a conclusion from evidence and reasoning, while deriving is the process of obtaining something from a given set of facts or principles. Deducing is the process of reaching a conclusion based on evidence and logical reasoning. All three terms refer to the same process of establishing a conclusion through evidence and logical reasoning.