Proofgold Proof

pf
Let x0 of type ι be given. Assume H0: x0 ∈ real. Apply SNo_pair_0 with x0, λ x1 x2 . CSNo_Re x1 = x0. Apply complex_Re_eq with x0, 0 leaving 2 subgoals. The subproof is completed by applying H0. The subproof is completed by applying real_0. ■