
theorem
  for Omega being non empty set,
      Sigma being SigmaField of Omega,
      RV being random_variable of Sigma,Borel_Sets,
      K being Real holds
    RV-(Omega-->K) is random_variable of Sigma,Borel_Sets
proof
  let Omega be non empty set,
      Sigma be SigmaField of Omega,
      RV be random_variable of Sigma,Borel_Sets,
      K be Real;
  reconsider KK = K as Element of REAL by XREAL_0:def 1;
  Omega-->KK is random_variable of Sigma,Borel_Sets by 1A5;
  hence thesis by FINANCE2:24;
end;
