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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: ordinal x0.
Let x1 of type ι be given.
Assume H1: In x1 x0.
Let x2 of type ι be given.
Let x3 of type ι be given.
Apply unknownprop_3647185bee823f297472e9b1979bff6804bdede7c0824747eee03864f4f342a6 with λ x4 x5 : ι → ι → ι → ο . x5 x0 x2 x3x5 x1 x2 x3.
Apply unknownprop_385a349774bd141f67c9640b600008e8534ed0c05d891557fd37870b1d687d7f with λ x4 . In x4 x2, λ x4 . In x4 x3, x0, x1 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.