reserve E,V for set, G,G1,G2 for _Graph, c,c1,c2 for Cardinal, n for Nat;
reserve f for VColoring of G;

theorem Th45:
  for G2 being reverseEdgeDirections of G1, E
  holds G1 is finite-vcolorable iff G2 is finite-vcolorable
proof
  let G2 be reverseEdgeDirections of G1, E;
  thus G1 is finite-vcolorable implies G2 is finite-vcolorable by Lm6;
  G1 is reverseEdgeDirections of G2, E by GLIB_007:3;
  hence thesis by Lm6;
end;
