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Proofgold Proof

pf
Apply unknownprop_acac0f89c78f08b97a9fe27ba4af5f929f74e43a9a77a0beb38d70975279c8b8 with λ x0 . Subq x0 (V_ x0).
Let x0 of type ι be given.
Assume H0: ∀ x1 . In x1 x0Subq x1 (V_ x1).
Apply unknownprop_c3fe42b21df0810041479a97b374de73f7754e07c8af1c88386a1e7dc0aad10f with x0, V_ x0.
Let x1 of type ι be given.
Assume H1: In x1 x0.
Apply unknownprop_a2c3fca2e8c461af2fcd2014916bc97ec486da998a233beedf90ec14d6bf2e76 with x1, x1, x0 leaving 2 subgoals.
The subproof is completed by applying H1.
Apply H0 with x1.
The subproof is completed by applying H1.