
theorem Th36:
  for S be non empty finite set,
  D be Element of distribution_family(S),
  s be FinSequence of S st s in D holds
  D = Finseq-EQclass(s)
  proof
    let S be non empty finite set,
    D be Element of distribution_family(S),
    s be FinSequence of S;
    assume A1: s in D;
    consider t be FinSequence of S such that
    A2: D = Finseq-EQclass(t) by DIST_1:def 6;
    thus thesis by A2,DIST_1:9,A1,DIST_1:7;
  end;
