Rule logic.propositional.compland
| Parameters | |
| Buggy | no |
| Rewrite rule | yes |
| Siblings | logic.propositional.falsecomplement |
Rewrite rule
p ∧ (¬p) ⇒ F(¬p) ∧ p ⇒ F
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="logic1" name="and"/><OMV name="$0"/><OMA><OMS cd="logic1" name="not"/><OMV name="$0"/></OMA></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="forall"/><OMBVAR><OMV name="$0"/></OMBVAR><OMA><OMS cd="relation1" name="eq"/><OMA><OMS cd="logic1" name="and"/><OMA><OMS cd="logic1" name="not"/><OMV name="$0"/></OMA><OMV name="$0"/></OMA><OMS cd="logic1" name="false"/></OMA></OMBIND></OMOBJ></FMP>