We will prove Rlt 0 (eps_ 1).
We prove the intermediate claim H1omega: 1 ω.
An exact proof term for the current goal is (nat_p_omega 1 nat_1).
An exact proof term for the current goal is (RltI 0 (eps_ 1) real_0 eps_1_in_R (SNo_eps_pos 1 H1omega)).