theorem Th129: :: GLIB_006:125

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