set G2 = the removeEdge of G,e;
set G3 = the removeEdge of G,e | _GraphSelectors;
take
the removeEdge of G,e | _GraphSelectors
; ( 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 Th9, GLIB_006:16; verum