Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Apply unknownprop_3647185bee823f297472e9b1979bff6804bdede7c0824747eee03864f4f342a6 with
λ x3 x4 : ι → ι → ι → ο . x4 x0 x1 x2 ⟶ PNoEq_ x0 (λ x5 . In x5 x1) (λ x5 . In x5 x2).
Assume H0:
PNoEq_ x0 (λ x3 . In x3 x1) (λ x3 . In x3 x2).
The subproof is completed by applying H0.