Basic properties

  1. A ∩ A’ = ∅

  2. A ∩ ∅ = ∅

  3. A ∩ A’ = S

  4. (A’)’ = A

  5. (A ∩ B)’ = A’ ∪ B’

  6. (A ∪ B)’ = A’ ∩ B’

  7. A ∪ (B ∩ C) = (A ∪ B ) ∩ (A ∪ C)

  8. A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

  9. A ∪ B = A ∪ (B ∩ A’)

  10. A = (A ∩ B) ∪ (A ∩ B’)