
theorem
  for V being non empty set, E being set, S,T being Function of E,V
  st for v being Element of V holds S"{v} is finite & T"{v} is finite
  holds createGraph(V,E,S,T) is locally-finite
proof
  let V be non empty set, E be set, S,T be Function of E,V;
  assume A1: for v being Element of V holds S"{v} is finite & T"{v} is finite;
  set G = createGraph(V,E,S,T);
  now
    let v be Vertex of G;
    S"{v} is finite & T"{v} is finite by A1;
    then (the_Source_of G)"{v} is finite &
      (the_Target_of G)"{v} is finite;
    hence v.edgesIn() is finite & v.edgesOut() is finite by GLIB_000:147;
  end;
  hence thesis by Th25;
end;
