Difference between revisions of "De Morgan's Laws"
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Revision as of 22:25, 30 October 2015
De Morgan's Laws are two very important laws in the fields of set theory and boolean algebra.
Statement
For any two mathematical statements 
and 
, 
. The dual of this statement is also true, that is, 
. Also, for any two sets 
and 
, 
. Again, the dual is true, for 
.
In fact, all dual operators will interchange upon negation. So we can also say that for any proposition P, 
, because 
is dual with 
. Also, 
.
This article is a stub. Help us out by expanding it. ._.
