# Let ^ be a nonempty indexing set, let A* = {A subscript alpha such that alpha is an..

• Nov 13th 2011, 08:06 PM
Brjakewa
Let ^ be a nonempty indexing set, let A* = {A subscript alpha such that alpha is an..
Let ^ be a nonempty indexing set, let A*={A (subscript alpha) such that alpha is an element of ^} be an indexing family of sets, and let B be a set. Use the results of the theorems for indeing sets and indexing families of sets to prove :

B- ( Intersection of (alpha in the ^ <- below intersect symbol; A (subscript alpha) <- next to intersection symbol) = Union of (B-A (subscript alpha) <- next to Union symbol w/ (alpha in the ^ below intersect symbol)

How would I go about doing this proof, it is extra points on my quiz and I cannot figure it out, please help!
• Nov 14th 2011, 02:48 AM
Plato
Re: Let ^ be a nonempty indexing set, let A* = {A subscript alpha such that alpha is
Quote:

Originally Posted by Brjakewa
Let ^ be a nonempty indexing set, let A*={A (subscript alpha) such that alpha is an element of ^} be an indexing family of sets, and let B be a set. Use the results of the theorems for indeing sets and indexing families of sets to prove :

B- ( Intersection of (alpha in the ^ <- below intersect symbol; A (subscript alpha) <- next to intersection symbol) = Union of (B-A (subscript alpha) <- next to Union symbol w/ (alpha in the ^ below intersect symbol)

How would I go about doing this proof, it is extra points on my quiz and I cannot figure it out, please help!

Why don't you post in LaTeX? I cannot read that.