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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ιι be given.
Let x2 of type ι be given.
Apply proj0_ap_0 with x2, λ x3 x4 . x2lam x0 (λ x5 . x1 x5)setsum x3 (ap x2 1) = x2.
Apply proj1_ap_1 with x2, λ x3 x4 . x2lam x0 (λ x5 . x1 x5)setsum (proj0 x2) x3 = x2.
The subproof is completed by applying proj_Sigma_eta with x0, λ x3 . x1 x3, x2.