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Proofgold Proof

pf
Apply unknownprop_7286e98d609aa746e0fd442fb25d48ecc298d66ff863c06370951cf0a76dad5e with λ x0 x1 : ι → ι . ∀ x2 x3 . In x3 (x1 x2)x3 = x2.
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: In x1 (UPair x0 x0).
Apply unknownprop_75ddf832b1631756e4bbf96a65e15fca654982aa51c8799a97b68da7b8a2da12 with x1, x0, x0, x1 = x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Assume H1: x1 = x0.
The subproof is completed by applying H1.
Assume H1: x1 = x0.
The subproof is completed by applying H1.