Rule logic.propositional.defequiv

Parameters
Buggy no
Rewrite rule yes
Siblings logic.propositional.equivalence

Rewrite rule

p ↔ q ⇒ (p ∧ q) ∨ ((¬p) ∧ (¬q))

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"/><OMV name="$1"/></OMBVAR><OMA><OMS cd="relation1" name="eq"/><OMA><OMS cd="logic1" name="equivalent"/><OMV name="$0"/><OMV name="$1"/></OMA><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></OMBIND></OMOBJ></FMP>