De Morgan's Laws Proof and real world application.
De Morgan's Laws are transformational Rules for 2 Sets
1) Complement of the Union Equals the Intersection of the Complements
not (A or B) = not A and not B
2) Complement of the Intersection Equals the Union of the Complements
not (A and B) = not A or not B
Take 2 Sets A and B
Union = A U B ← Everything in A or B
Intersection = A ∩ B ← Everything in A and B
U = Universal Set (All possible elements in your defined universe)
Complement = A’ Everything not in A, but in the Universal Set