theorem :: GLCOLO00:80

for G2 being _Graph
for v, e being object
for w being Vertex of G2
for G1 being addAdjVertex of G2,v,e,w
for g being EColoring of G2
for x being object st not e in the_Edges_of G2 & not v in the_Vertices_of G2 holds
g +* (e .--> x) is EColoring of G1