set G2 = the inducedSubgraph of G,V,E;
set G3 = the inducedSubgraph of G,V,E | _GraphSelectors;
take the inducedSubgraph of G,V,E | _GraphSelectors ; :: thesis: ( the inducedSubgraph of G,V,E | _GraphSelectors is Subgraph of G & the inducedSubgraph of G,V,E | _GraphSelectors is inducedSubgraph of G,V,E & the inducedSubgraph of G,V,E | _GraphSelectors is plain )
thus ( the inducedSubgraph of G,V,E | _GraphSelectors is Subgraph of G & the inducedSubgraph of G,V,E | _GraphSelectors is inducedSubgraph of G,V,E & the inducedSubgraph of G,V,E | _GraphSelectors is plain ) by GLIB_000:128, GLIB_000:101; :: thesis: verum