, and let R be the relation
Is R total order on A? Justify your answer.
Whether the relation is a total order relation on .
Let and let be the relation.
R is reflexive, antisymmetric and transitive so it is a partial order relation otherwise it will be a total order relation.
A relation on a set is said to be antisymmetric if and only if for all , if .
The relation on the set is defined as follows.
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