Apply unknownprop_fe7ff313be3d0b9f2334c12982636aff94f7603137e8053506a95c79965309c2 with
Union 0.
Let x0 of type ι be given.
Apply unknownprop_b30a94f49240f0717f4ecb200a605aa8a4e6dad6dc5d1afa60c37866ee96baab with
x0,
Union 0.
Apply unknownprop_8cedd81d70e25b63b7556c6282ff8cb3f8cd5d78cfe400c053c245452b171ad5 with
0,
x0,
False leaving 2 subgoals.
The subproof is completed by applying H0.
Let x1 of type ι be given.
Assume H1:
and (In x0 x1) (In x1 0).
Apply unknownprop_1cc88f7e87aaf8c5cee24b4a69ff535a81e7855c45a9fd971eec05ee4cc28f9c with
x1.
Apply unknownprop_896ccc9f209efa8a895211d65adb5a90348b419f100f6ab5e9762ce4d7fa9cc1 with
In x0 x1,
In x1 0.
The subproof is completed by applying H1.