Apply unknownprop_c3fe42b21df0810041479a97b374de73f7754e07c8af1c88386a1e7dc0aad10f with
UPair 0 1,
2.
Let x0 of type ι be given.
Apply unknownprop_75ddf832b1631756e4bbf96a65e15fca654982aa51c8799a97b68da7b8a2da12 with
x0,
0,
1,
In x0 2 leaving 3 subgoals.
The subproof is completed by applying H0.
Assume H1: x0 = 0.
Apply H1 with
λ x1 x2 . In x2 2.
The subproof is completed by applying unknownprop_7630054952f4bd54be6e25e2e786a4db7b90ee782d6b1031afa63aeb6d55b595.
Assume H1: x0 = 1.
Apply H1 with
λ x1 x2 . In x2 2.
The subproof is completed by applying unknownprop_85e7394990c25c8874e39b4ca1ac83bc7d22390df4a86e0ba0fa73d0ca7d5d30.