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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.
Let x3 of type ι be given.
Assume H0: setsum x2 x3lam x0 (λ x4 . x1 x4).
Apply proj0_pair_eq with x2, x3, λ x4 x5 . x4x0.
Apply proj0_Sigma with x0, x1, setsum x2 x3.
The subproof is completed by applying H0.