
theorem
  for Omega being set st
    Omega={1,2,3,4} holds
    Omega in Special_SigmaField1 &
    {} in Special_SigmaField1 &
    {1,2} in Special_SigmaField2 &
    {3,4} in Special_SigmaField2 &
    Omega in Special_SigmaField2 &
    {} in Special_SigmaField2 &
    Omega in Trivial-SigmaField {1,2,3,4} &
    {} in Trivial-SigmaField {1,2,3,4} &
    {1} in Trivial-SigmaField {1,2,3,4} &
    {2} in Trivial-SigmaField {1,2,3,4} &
    {3} in Trivial-SigmaField {1,2,3,4} &
    {4} in Trivial-SigmaField {1,2,3,4}
    by EnLm1,EnLm2,EnLm3,PROB_1:5,EnLm4,PROB_1:4,ENUMSET1:def 2;
