
theorem Th96:
  for G being _Graph, v,w being Vertex of G st w is with_max_out_degree
  holds v.outDegree() c= w.outDegree()
proof
  let G be _Graph, v,w be Vertex of G;
  assume w is with_max_out_degree;
  then w.outDegree() = G.supOutDegree();
  then consider v0 being Vertex of G such that
    A1: v0.outDegree() = w.outDegree() and
    A2: for u being Vertex of G holds u.outDegree() c= v0.outDegree()
    by Th81, Lm5;
  thus thesis by A1, A2;
end;
