Traditional Culture Encyclopedia - Traditional festivals - What operations can a collection perform?

What operations can a collection perform?

Operation of sets:

Let the exchange law a ∩ b = b ∩ a ∪ b = b ∪ a

Set associative law (A∩B)∩C=A∩(B∩C) (A∪B)∪C=A∪(B∪C)

The dual law of set distribution a ∩ (b ∪ c) = (a ∪ b) ∨ (a ∪ c) a ∪ (b ∪ c) = (a ∪ b) ∪ (a ∪).

Set duality law (a ∪ b) c = a c ∪ b c (a ∪ b) c = a c ∪ b c.

Morgan set law Cu(A∪B)= CuA∪CuB Cu(A∪B)= CuA∪CuB.

Let the absorption law a ∨ (a ∩ b) = aa ∩ (a ∪ b) = a.

Set complement law a∪cua = ua∪cua =φ.