set G2 = the removeEdges of G,E;

set G3 = the removeEdges of G,E | _GraphSelectors;

take the removeEdges of G,E | _GraphSelectors ; :: thesis: ( the removeEdges of G,E | _GraphSelectors is Subgraph of G & the removeEdges of G,E | _GraphSelectors is removeEdges of G,E & the removeEdges of G,E | _GraphSelectors is plain )

thus ( the removeEdges of G,E | _GraphSelectors is Subgraph of G & the removeEdges of G,E | _GraphSelectors is removeEdges of G,E & the removeEdges of G,E | _GraphSelectors is plain ) by Th9, GLIB_006:16; :: thesis: verum

set G3 = the removeEdges of G,E | _GraphSelectors;

take the removeEdges of G,E | _GraphSelectors ; :: thesis: ( the removeEdges of G,E | _GraphSelectors is Subgraph of G & the removeEdges of G,E | _GraphSelectors is removeEdges of G,E & the removeEdges of G,E | _GraphSelectors is plain )

thus ( the removeEdges of G,E | _GraphSelectors is Subgraph of G & the removeEdges of G,E | _GraphSelectors is removeEdges of G,E & the removeEdges of G,E | _GraphSelectors is plain ) by Th9, GLIB_006:16; :: thesis: verum