An rule of inference, or an inference rule is a pattern of reasoning consisting of some axiom schemas serving as premises and additional schemas as conclusion.
Rules of inference are often written as shown below.
The above rule is called implication elimination. And there are a lot more commonly used inference rules.
inference rule and arguments
While looks similar, inference rules are different from an argument. Though the two concepts are related. A valid argument can be seen as an application of one or more inference rules.