Theorems in propositional logic | Rules of inference

Absorption (logic)

Absorption is a valid argument form and rule of inference of propositional logic. The rule states that if implies , then implies and . The rule makes it possible to introduce conjunctions to proofs. It is called the law of absorption because the term is "absorbed" by the term in the consequent. The rule can be stated: where the rule is that wherever an instance of "" appears on a line of a proof, "" can be placed on a subsequent line. (Wikipedia).

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Related pages

Conjunction introduction | Tautology (logic) | Propositional calculus | Logical consequence | Formal proof | Principia Mathematica | Absorption law | Metalogic | Rule of inference | Formal system | Bertrand Russell | Logical conjunction | Material implication (rule of inference) | Alfred North Whitehead | Theorem | Sequent | Consequent | Validity (logic)