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If R is reflexive, then R ∩ R-1 ≠ φ
R ∩ R-1 ≠ φ =>R is anti-symmetric.
If R, R' are equivalence relations in a set A, then R ∩ R' is also an equivalence relation in A.
If R, R' are reflexive relations in A, then R - R' is reflexive
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