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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0complex.
Let x1 of type ο be given.
Assume H1: ∀ x2 . x2real∀ x3 . x3realx0 = add_CSNo x2 (mul_CSNo Complex_i x3)x1.
Apply H1 with CSNo_Re x0, CSNo_Im x0 leaving 3 subgoals.
Apply complex_Re_real with x0.
The subproof is completed by applying H0.
Apply complex_Im_real with x0.
The subproof is completed by applying H0.
Apply complex_eta with x0.
The subproof is completed by applying H0.