Let x0 of type ι be given.
Let x1 of type ι be given.
Apply complex_I with
add_SNo (CSNo_Re x0) (CSNo_Re x1),
add_SNo (CSNo_Im x0) (CSNo_Im x1) leaving 2 subgoals.
Apply real_add_SNo with
CSNo_Re x0,
CSNo_Re x1 leaving 2 subgoals.
Apply complex_Re_real with
x0.
The subproof is completed by applying H0.
Apply complex_Re_real with
x1.
The subproof is completed by applying H1.
Apply real_add_SNo with
CSNo_Im x0,
CSNo_Im x1 leaving 2 subgoals.
Apply complex_Im_real with
x0.
The subproof is completed by applying H0.
Apply complex_Im_real with
x1.
The subproof is completed by applying H1.