DeMorgan's Laws

1. Dec 7, 2007

ehrenfest

1. The problem statement, all variables and given/known data
Do deMorgan's laws hold for infinite unions and intersections i.e.

is $$X-\cap_{i=1}^{\infty}U_i = \cup_{i=1}^{\infty}(X-U_i)$$

?

2. Relevant equations

3. The attempt at a solution

Last edited: Dec 7, 2007
2. Dec 7, 2007

Office_Shredder

Staff Emeritus
I'm fairly certain the proof is exactly the same as it would be for a finite number