Let x0 of type ι be given.
Apply recip_SNo_poscase with
exp_SNo_nat 2 x0,
λ x1 x2 . x2 = eps_ x0 leaving 2 subgoals.
Apply exp_SNo_nat_pos with
2,
x0 leaving 3 subgoals.
The subproof is completed by applying SNo_2.
The subproof is completed by applying SNoLt_0_2.
The subproof is completed by applying H0.
Apply recip_SNo_pos_pow_2 with
x0.
The subproof is completed by applying H0.