Prove the first distributive law from Table 1 by showing that if A.b. and C are sets, then A ∪ (B ∩ C) = (A ∪b) ∩ (A ∪ C).
We have to prove the distributive law of sets.
Distributive law states that
This means that is either in A or in and C
This can be written as
by the distributive property of OR and AND