Let x0 of type ι be given.
Apply mul_SNo_distrR with
eps_ 1,
eps_ 1,
x0,
λ x1 x2 . x1 = x0 leaving 4 subgoals.
The subproof is completed by applying SNo_eps_1.
The subproof is completed by applying SNo_eps_1.
The subproof is completed by applying H0.
Apply eps_1_half_eq1 with
λ x1 x2 . mul_SNo x2 x0 = x0.
Apply mul_SNo_oneL with
x0.
The subproof is completed by applying H0.