
theorem
  for Omega,Omega2 being non empty set,
      Sigma being SigmaField of Omega,
      Sigma2 being SigmaField of Omega2,
      I being non empty real-membered set,
      MyFunc being Filtration of I,Sigma,
      Stoch being Stochastic_Process of I,Sigma,Sigma2 st
    Stoch is (MyFunc)-stoch_proc_wrt_to_Filtration holds
    Stoch is Adapted_Stochastic_Process of Stoch by Def30002;
