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Negation introduction : ウィキペディア英語版
Negation introduction

Negation introduction is a rule of inference, or transformation rule, in the field of propositional calculus.
Negation introduction states that if a given antecedent implies both the consequent and its complement, then the antecedent is a contradiction.
==Formal notation==

This can be written as: (P \rightarrow Q) \and (P \rightarrow \neg Q) \leftrightarrow \neg P
An example of its use would be an attempt to prove two contradictory statements from a single fact. For example, if a person were to state "When the phone rings I get happy" and then later state "When the phone rings I get annoyed", the logical inference which is made from this contradictory information is that the person is making a false statement about the phone ringing.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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