Let x0 of type ι be given.
Apply mul_i_real_eq with
x0,
λ x1 x2 . CSNo_Im x2 = x0 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply complex_Im_eq with
0,
x0 leaving 2 subgoals.
The subproof is completed by applying real_0.
The subproof is completed by applying H0.