theorem Th47: :: GLIB_000:47

for G1 being non _trivial _Graph
for v being Vertex of G1
for G2 being removeVertex of G1,v holds
( the_Vertices_of G2 = (the_Vertices_of G1) \ {v} & the_Edges_of G2 = G1 .edgesBetween ((the_Vertices_of G1) \ {v}) )