reserve G,G1,G2 for _Graph;
reserve e,x,y for set;
reserve v,v1,v2 for Vertex of G;
reserve W for Walk of G;

theorem
  for C1,C2 being Component of G, v being set st v in the_Vertices_of C1
  & v in the_Vertices_of C2 holds C1 == C2 by Lm17;
