Rule logic.propositional.buggy.falseprop

Parameters
Buggy	yes
Rewrite rule	yes
Siblings

Rewrite rule

p ∨ F   ⇏   F
F ∨ p   ⇏   F
p ∧ F   ⇏   p
F ∧ p   ⇏   p

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="exists"/><OMBVAR><OMV name="$0"/></OMBVAR><OMA><OMS cd="relation1" name="neq"/><OMA><OMS cd="logic1" name="or"/><OMV name="$0"/><OMS cd="logic1" name="false"/></OMA><OMS cd="logic1" name="false"/></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="exists"/><OMBVAR><OMV name="$0"/></OMBVAR><OMA><OMS cd="relation1" name="neq"/><OMA><OMS cd="logic1" name="or"/><OMS cd="logic1" name="false"/><OMV name="$0"/></OMA><OMS cd="logic1" name="false"/></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="exists"/><OMBVAR><OMV name="$0"/></OMBVAR><OMA><OMS cd="relation1" name="neq"/><OMA><OMS cd="logic1" name="and"/><OMV name="$0"/><OMS cd="logic1" name="false"/></OMA><OMV name="$0"/></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="exists"/><OMBVAR><OMV name="$0"/></OMBVAR><OMA><OMS cd="relation1" name="neq"/><OMA><OMS cd="logic1" name="and"/><OMS cd="logic1" name="false"/><OMV name="$0"/></OMA><OMV name="$0"/></OMA></OMBIND></OMOBJ></FMP>