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 Post subject: De Morgan's Laws proofPosted: Mon, 17 Oct 2011 00:42:06 UTC
 Senior Member

Joined: Mon, 1 Nov 2010 17:13:40 UTC
Posts: 71
Hey all, needed some help with the following proof about De Morgan's laws:

Given two subsets A, B ⊆ X,
not (A ∩ B) = (not A) ∪ (not B)
and
not (A ∪ B) = (not A) ∩ (not B)

How would we go about proving this? Thanks for the help!

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 Post subject: Re: De Morgan's Laws proofPosted: Mon, 17 Oct 2011 00:55:04 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12097
Location: Austin, TX
This belongs in foundations. Topic moved.

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 Post subject: Re: De Morgan's Laws proofPosted: Mon, 17 Oct 2011 00:55:50 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12097
Location: Austin, TX
jstarks4444 wrote:
Hey all, needed some help with the following proof about De Morgan's laws:

Given two subsets A, B ⊆ X,
not (A ∩ B) = (not A) ∪ (not B)
and
not (A ∪ B) = (not A) ∩ (not B)

How would we go about proving this? Thanks for the help!

Draw a Venn Diagram.

_________________
(\ /)
(O.o)
(> <)
This is Bunny. Copy Bunny into your signature to help him on his way to world domination

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