Let x0 of type ι → ι be given.
Apply unknownprop_fe7ff313be3d0b9f2334c12982636aff94f7603137e8053506a95c79965309c2 with
famunion 0 (λ x1 . x0 x1).
Let x1 of type ι be given.
Apply unknownprop_b30a94f49240f0717f4ecb200a605aa8a4e6dad6dc5d1afa60c37866ee96baab with
x1,
famunion 0 (λ x2 . x0 x2).
Apply unknownprop_a7f2dda18b84bce65b5de34328a937fef2c23812675d88bde1e7e2463ed59bbe with
0,
x0,
x1,
False leaving 2 subgoals.
The subproof is completed by applying H0.
Let x2 of type ι be given.
Apply FalseE with
In x1 (x0 x2) ⟶ False.
Apply unknownprop_1cc88f7e87aaf8c5cee24b4a69ff535a81e7855c45a9fd971eec05ee4cc28f9c with
x2.
The subproof is completed by applying H1.