Rule defequiv.inv
Parameters | |
Buggy | no |
Rewrite rule | yes |
Siblings | logic.propositional.equivalence |
Rewrite rule
(p ∧ q) ∨ ((¬p) ∧ (¬q)) ⇒ p ↔ qFormal 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"/><OMV name="$1"/></OMBVAR><OMA><OMS cd="relation1" name="eq"/><OMA><OMS cd="logic1" name="or"/><OMA><OMS cd="logic1" name="and"/><OMV name="$0"/><OMV name="$1"/></OMA><OMA><OMS cd="logic1" name="and"/><OMA><OMS cd="logic1" name="not"/><OMV name="$0"/></OMA><OMA><OMS cd="logic1" name="not"/><OMV name="$1"/></OMA></OMA></OMA><OMA><OMS cd="logic1" name="equivalent"/><OMV name="$0"/><OMV name="$1"/></OMA></OMA></OMBIND></OMOBJ></FMP>