We will prove eps_ 1 R.
We prove the intermediate claim H1omega: 1 ω.
An exact proof term for the current goal is (nat_p_omega 1 nat_1).
We prove the intermediate claim Heps1SNoS: eps_ 1 SNoS_ ω.
An exact proof term for the current goal is (SNo_eps_SNoS_omega 1 H1omega).
An exact proof term for the current goal is (SNoS_omega_real (eps_ 1) Heps1SNoS).