How do you proof this?

Question

proof (A \/ B)&(C \/ D) = (B \/ C) \/ (A&D)
note: \/ means or

It is TRUE!

Answer 1

Given that it's not true, I don't think you can.

Look, let's break it down:

(A \/ B)&(C \/ D) = (A&C) \/ (A&D) \/ (B&C) \/ (B&D)

That's four options, not two. And no amount of (A&D) is going to make (B&D) NOT an option.

Answer 2

well i dont guess this is a boolean proof but

for the left side to be true you have to have any of the following

A & D
A & C
B & C
B & D

for the right side to be true you have to have any of the following

B
C
A & D

their is not a instance where the left side can be true that would not make the right side true. the only way the left side is true without either B or C being true is for A & D to be true.

Answer 3

Your dream is very positive. You're lying back watching the clouds just as you are watching the events in your life go by. Everything has clarity and definition, and there is variety as well. You're in a relaxed position indicating that you feel strong and confident about the way things are progressing. The sun feels good and colorful butterflies surround you. These are all the options and opportunities that you have right now, and they are plentiful. They can also signify the people in your life right now. Bright, energetic and beautiful, you are surrounded by positive energy from most every direction. This is a wonderful time for you where you are the one who's in charge of your life, and things are going extremely well. Seize some of those opportunities!

Answer 4

It is not a tautology. So there is no prove of that.