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Asymmetric relation
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{{Short description|A binary relation which never occurs in both directions}} {{distinguish|Antisymmetric relation}} {{Binary relations}} In [[mathematics]], an '''asymmetric relation''' is a [[binary relation]] <math>R</math> on a [[Set (mathematics)|set]] <math>X</math> where for all <math>a, b \in X,</math> if <math>a</math> is related to <math>b</math> then <math>b</math> is ''not'' related to <math>a.</math><ref>{{citation|first1=David|last1=Gries|author1-link=David Gries|first2=Fred B.|last2=Schneider|author2-link=Fred B. Schneider|title=A Logical Approach to Discrete Math|publisher=Springer-Verlag|year=1993|page=[https://books.google.com/books?id=ZWTDQ6H6gsUC&pg=PA273 273]}}.</ref>
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