theorem Th95: :: GLIB_012:95

for G1 being _Graph
for G2 being DGraphComplement of G1
for v1 being Vertex of G1
for v2 being Vertex of G2 st v1 = v2 holds
( v2 .inNeighbors() = (the_Vertices_of G2) \ ((v1 .inNeighbors()) \/ {v2}) & v2 .outNeighbors() = (the_Vertices_of G2) \ ((v1 .outNeighbors()) \/ {v2}) )