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cs-401r:set-theory-identities [2014/09/09 20:52]
ringger
cs-401r:set-theory-identities [2014/10/06 13:08] (current)
ringger [Further Reference]
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 += Set Theory Identities =
 \begin{align} \begin{align}
 A \cup  \overline{A} & = & \Omega ​ \qquad & \mbox{Complementation law}\\ A \cup  \overline{A} & = & \Omega ​ \qquad & \mbox{Complementation law}\\
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 \begin{align} \begin{align}
 B - A \equiv B \cap \overline{A} \qquad & \mbox{Definition of set difference} \\ B - A \equiv B \cap \overline{A} \qquad & \mbox{Definition of set difference} \\
-\left(R \cap S\right) \cup \left(R \cap \overline{S}\right) ​\equiv ​R+\left(R \cap S\right) \cup \left(R \cap \overline{S}\right) ​R
 \end{align} \end{align}
  
 == Further Reference == == Further Reference ==
 +
 +You may use the identities available in the following Wikipedia article, as long as they are not the identity you are currently trying to prove:
  
 [http://​en.wikipedia.org/​wiki/​Algebra_of_sets Article on the "​algebra of sets" on Wikipedia.] [http://​en.wikipedia.org/​wiki/​Algebra_of_sets Article on the "​algebra of sets" on Wikipedia.]
 +
  
cs-401r/set-theory-identities.1410295957.txt.gz ยท Last modified: 2014/09/09 20:52 by ringger
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