Rule relationalgebra.remcompl

Parameters
Buggy	no
Rewrite rule	yes
Siblings

Rewrite rule

r ∪ (r‾)   ⇒   V
(r‾) ∪ r   ⇒   V
r ∩ (r‾)   ⇒   V‾
(r‾) ∩ r   ⇒   V‾

Formal Mathematical Properties

<FMP><OMOBJ xmlns="http://www.openmath.org/OpenMath" version="2.0" cdbase="http://www.openmath.org/cd"><OMBIND><OMS cd="quant1" name="forall"/><OMBVAR><OMV name="$0"/></OMBVAR><OMA><OMS cd="relation1" name="eq"/><OMA><OMS cd="relalg" name="disj"/><OMV name="$0"/><OMA><OMS cd="relalg" name="not"/><OMV name="$0"/></OMA></OMA><OMS cd="relalg" name="universe"/></OMA></OMBIND></OMOBJ></FMP>

<FMP><OMOBJ xmlns="http://www.openmath.org/OpenMath" version="2.0" cdbase="http://www.openmath.org/cd"><OMBIND><OMS cd="quant1" name="forall"/><OMBVAR><OMV name="$0"/></OMBVAR><OMA><OMS cd="relation1" name="eq"/><OMA><OMS cd="relalg" name="disj"/><OMA><OMS cd="relalg" name="not"/><OMV name="$0"/></OMA><OMV name="$0"/></OMA><OMS cd="relalg" name="universe"/></OMA></OMBIND></OMOBJ></FMP>

<FMP><OMOBJ xmlns="http://www.openmath.org/OpenMath" version="2.0" cdbase="http://www.openmath.org/cd"><OMBIND><OMS cd="quant1" name="forall"/><OMBVAR><OMV name="$0"/></OMBVAR><OMA><OMS cd="relation1" name="eq"/><OMA><OMS cd="relalg" name="conj"/><OMV name="$0"/><OMA><OMS cd="relalg" name="not"/><OMV name="$0"/></OMA></OMA><OMA><OMS cd="relalg" name="not"/><OMS cd="relalg" name="universe"/></OMA></OMA></OMBIND></OMOBJ></FMP>

<FMP><OMOBJ xmlns="http://www.openmath.org/OpenMath" version="2.0" cdbase="http://www.openmath.org/cd"><OMBIND><OMS cd="quant1" name="forall"/><OMBVAR><OMV name="$0"/></OMBVAR><OMA><OMS cd="relation1" name="eq"/><OMA><OMS cd="relalg" name="conj"/><OMA><OMS cd="relalg" name="not"/><OMV name="$0"/></OMA><OMV name="$0"/></OMA><OMA><OMS cd="relalg" name="not"/><OMS cd="relalg" name="universe"/></OMA></OMA></OMBIND></OMOBJ></FMP>