Example: Show that the inclusion relation C is a partial order on the power set of a set a Proof: Reflexive: for any XEP(A), XcX Antisymmetric: For any X,Y EP(A), if XcYandycx. then x=y Transitive: For any X,Y, and ZEP(A),if XcY and Ycz, then xc?Example: Show that the inclusion relation  is a partial order on the power set of a set A Proof:Reflexive: for any XP(A), XX. Antisymmetric: For any X,Y P(A), if XYand YX, then X=Y Transitive: For any X,Y, and ZP(A), if XYand YZ, then XZ?