theorem Th7: :: GLCOLO00:7

for G2 being _Graph
for v, x being object
for V being Subset of (the_Vertices_of G2)
for G1 being addAdjVertexAll of G2,v,V
for f2 being VColoring of G2 st not v in the_Vertices_of G2 holds
f2 +* (v .--> x) is VColoring of G1