Which of the following are always true?

A: If every non-A is a non-B then every A is an B

B: If x is in AnB or x is in BnC then x is in AnC

C: If x is in AnB or x is in BnC then x is in B

D: If every non-A is a non-B then every B is an A

E: If x is not in A or x is not in B then x is not in AuB

F:If x is not in AuB then x is not in A and x is not in B

G: If x is not in Anb then x is not in A and x is not in B

H: If x is in AuB and x is in C then x is in Anc or x is in BnC

I: If x is in AnB then x is in A and x is in B

J:If x is in Aub or x is in C then x is in AuC and x is in BuC

K: If x is in AnB or x is in C then x is in AuC and x is in BuC