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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0complex.
Apply complex_I with minus_SNo (CSNo_Re x0), minus_SNo (CSNo_Im x0) leaving 2 subgoals.
Apply real_minus_SNo with CSNo_Re x0.
Apply complex_Re_real with x0.
The subproof is completed by applying H0.
Apply real_minus_SNo with CSNo_Im x0.
Apply complex_Im_real with x0.
The subproof is completed by applying H0.