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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.
Assume H0: x2x0.
Let x3 of type ι be given.
Assume H1: x3x1 x2.
Apply famunionI with x0, λ x4 . {setsum x4 x5|x5 ∈ x1 x4}, x2, setsum x2 x3 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply ReplI with x1 x2, setsum x2, x3.
The subproof is completed by applying H1.