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Properties of Operation of Intersection of Sets

If A, B and C are three sets, then
i. A  B = B ∩  A (Commutative law)
ii. (A  B)  C = A  (B  C) (Associative law)
iii. f ∩ A = A (Law of identity, φis the identity of U)
iv. A  A = A (Idempotent Law)
v. U ∩ A = A (Law of U)
vi. A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) (Distributive Law)

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