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

theorem Th100:
  G is G.size()-ecolorable
proof
  reconsider g = id the_Edges_of G as proper EColoring of G;
  card rng g = G.size();
  hence thesis;
end;
