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List of rules of inference
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List of rules of inference : ウィキペディア英語版
List of rules of inference

This is a list of rules of inference, logical laws that relate to mathematical formulae.
==Introduction==

Rules of inference are syntactical transform rules which one can use to infer a conclusion from a premise to create an argument. A set of rules can be used to infer any valid conclusion if it is complete, while never inferring an invalid conclusion, if it is sound. A sound and complete set of rules need not include every rule in the following list, as many of the rules are redundant, and can be proven with the other rules.
''Discharge rules'' permit inference from a subderivation based on a temporary assumption. Below, the notation
: \varphi \vdash \psi\,\!
indicates such a subderivation from the temporary assumption \varphi\,\! to \psi\,\!.

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