
theorem Th4:
  for T being non empty TopSpace, p being Point of T holds (
  T_0-canonical_map(T)).p = Class(Indiscernibility(T),p)
proof
  let T be non empty TopSpace;
  let p be Point of T;
  set F = T_0-canonical_map(T);
  set R = Indiscernibility(T);
  F.p in the carrier of T_0-reflex(T);
  then F.p in Indiscernible(T) by BORSUK_1:def 7;
  then consider y being Element of T such that
A1: F.p = Class(R,y) by EQREL_1:36;
  p in Class(R,y) by A1,BORSUK_1:28;
  hence thesis by A1,EQREL_1:23;
end;
