A U
(B 
C)
= (A U
B) (A
U
C)
A union (B intersection C)
equals (A union B)
intersection (A union C)
This law states that taking the union of a set to the intersection
of two other sets is the same as taking the union of the original set and
both the other two sets separately, and then taking the intersection of the
results.
A
(B U
C) = (A
B) U
(A C)
A intersection (B union C)
equals (A intersection B)
union (A intersection C)
This law states that taking the intersection of a set to the union of two
other sets is the same as taking the intersection of the original set and
both the other two sets separately, and then taking the union of the results.