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