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Proofgold Proof

pf
Apply unknownprop_acac0f89c78f08b97a9fe27ba4af5f929f74e43a9a77a0beb38d70975279c8b8 with λ x0 . ∀ x1 . In x0 x1In x1 x0False.
Let x0 of type ι be given.
Assume H0: ∀ x1 . In x1 x0∀ x2 . In x1 x2In x2 x1False.
Let x1 of type ι be given.
Assume H1: In x0 x1.
Assume H2: In x1 x0.
Apply H0 with x1, x0 leaving 3 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H2.
The subproof is completed by applying H1.