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LAW OF SET THEORY by Mind Map: LAW OF SET THEORY

1. DOUBLE COMPLEMENT LAW

1.1. A'' = A

2. DEMORGAN'S LAW

2.1. •(A ∩ B)' = A' ∪ B' •(A ∪ B) = (B ∪ A)

3. COMMUTATIVE LAW

3.1. •(A ∪ B) = (B ∪ A) •(A ∩ B) = (B ∩ A)

4. ASSOCIATIVE LAW

4.1. •(A ∪ B) ∪ C = A ∪ (B ∪ C) •(A ∩ B) ∩ C = A ∩ (B ∩ C)

5. DISTRIBUTIVE LAW

5.1. •A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) •A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ B)

6. IDEMPOTENT LAW

6.1. •A ∩ A = A •A ∪ A = A

7. INVERSE LAW

7.1. •A ∪ A' = ξ •A ∩ A' = Ф

8. IDENTITY LAW

8.1. •A ∩ ξ = A •A ∪ Ф = A

9. DOMINATIVE LAW

9.1. •A ∪ ξ = ξ •A ∩ Ф = Ф

10. ABSORPTION LAW

10.1. •A ∪ (A ∩ B) = A •A ∩ (A ∪ B) = A

11. DEFINITION OF SUBSTRACTION

11.1. •A - B = A\B = A ∩ B'