set G2 = the addAdjVertexAll of G,v,V;
set G3 = the addAdjVertexAll of G,v,V | _GraphSelectors;
take the addAdjVertexAll of G,v,V | _GraphSelectors ; :: thesis: ( the addAdjVertexAll of G,v,V | _GraphSelectors is Supergraph of G & the addAdjVertexAll of G,v,V | _GraphSelectors is addAdjVertexAll of G,v,V & the addAdjVertexAll of G,v,V | _GraphSelectors is plain )
thus ( the addAdjVertexAll of G,v,V | _GraphSelectors is Supergraph of G & the addAdjVertexAll of G,v,V | _GraphSelectors is addAdjVertexAll of G,v,V & the addAdjVertexAll of G,v,V | _GraphSelectors is plain ) by GLIB_000:128, GLIB_007:48; :: thesis: verum