Is A equal to B if A and B have the same union and intersection?

[zendani]

If A U B = A and A n B = A
can we say A = B ?

1: A U B = A => B C A => B n A = B
2: A n B = A => A C B => A U B = B

1,2 => A=B

 

[micromass]

Yes, that is correct.

 

[zendani]

Thanks Micromass