We say that a binary relation over X is antisymmetric when satisfies the fol- lowing property:...

 

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We say that a binary relation over X is antisymmetric when satisfies the fol- lowing property: for every x, y = X, if xy and yx, then x = y. Show that the standard order on R" is antisymmetric. Note: the standard order > on R" is the one whereby x y Xk > Uk for every k = 1, 2, ..., n. We say that a binary relation over X is antisymmetric when satisfies the fol- lowing property: for every x, y = X, if xy and yx, then x = y. Show that the standard order on R" is antisymmetric. Note: the standard order > on R" is the one whereby x y Xk > Uk for every k = 1, 2, ..., n.