Let R denote a relation defined on a set A as follows: xRy iff x<=y where <= is a total ordering on A. Can R be an equivalence relation on A?

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- June 26th 2010, 11:21 PMjsteel2Equivalence relation and total ordering problem
Let R denote a relation defined on a set A as follows: xRy iff x<=y where <= is a total ordering on A. Can R be an equivalence relation on A?

- June 26th 2010, 11:36 PMundefined
- June 27th 2010, 05:25 PMjsteel2
So the argument is that R can only be an equivalence relation if the set A has atleast two elements?

- June 27th 2010, 05:48 PMundefined