theorem Th130: :: GLIB_006:126

for G2 being _Graph
for v1, e being object
for v2 being Vertex of G2
for G1 being addAdjVertex of G2,v1,e,v2 st not e in the_Edges_of G2 & not v1 in the_Vertices_of G2 holds
ex G3 being addVertex of G2,v1 st G1 is addEdge of G3,v1,e,v2