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Proofgold Proof

pf
Apply unknownprop_fe7ff313be3d0b9f2334c12982636aff94f7603137e8053506a95c79965309c2 with V_ 0.
Let x0 of type ι be given.
Apply unknownprop_b30a94f49240f0717f4ecb200a605aa8a4e6dad6dc5d1afa60c37866ee96baab with x0, V_ 0.
Assume H0: In x0 (V_ 0).
Apply unknownprop_3687558d9284fdd514174bfe87bba39032212334a6409eb4554d4077dea6d831 with x0, 0, False leaving 2 subgoals.
The subproof is completed by applying H0.
Let x1 of type ι be given.
Assume H1: In x1 0.
Apply FalseE with Subq x0 (V_ x1)False.
Apply unknownprop_1cc88f7e87aaf8c5cee24b4a69ff535a81e7855c45a9fd971eec05ee4cc28f9c with x1.
The subproof is completed by applying H1.