set G2 = the removeVertex of G,v;
set G3 = the removeVertex of G,v | _GraphSelectors;
take
the removeVertex of G,v | _GraphSelectors
; ( the removeVertex of G,v | _GraphSelectors is Subgraph of G & the removeVertex of G,v | _GraphSelectors is removeVertex of G,v & the removeVertex of G,v | _GraphSelectors is plain )
thus
( the removeVertex of G,v | _GraphSelectors is Subgraph of G & the removeVertex of G,v | _GraphSelectors is removeVertex of G,v & the removeVertex of G,v | _GraphSelectors is plain )
by Th9, GLIB_006:16; verum