Let x0 of type ι be given.
Let x1 of type ι be given.
Apply unknownprop_c3fe42b21df0810041479a97b374de73f7754e07c8af1c88386a1e7dc0aad10f with
UPair x0 x1,
UPair x1 x0.
Let x2 of type ι be given.
Apply unknownprop_75ddf832b1631756e4bbf96a65e15fca654982aa51c8799a97b68da7b8a2da12 with
x2,
x0,
x1,
In x2 (UPair x1 x0) leaving 3 subgoals.
The subproof is completed by applying H0.
Assume H1: x2 = x0.
Apply H1 with
λ x3 x4 . In x4 (UPair x1 x0).
The subproof is completed by applying unknownprop_062c64c10c58e9562a87a79165ec64b8525d3f91b15ae8561687c786947b4cb0 with x1, x0.
Assume H1: x2 = x1.
Apply H1 with
λ x3 x4 . In x4 (UPair x1 x0).
The subproof is completed by applying unknownprop_f40d13744d00ec34b223eab4c005556ef718e0ee3d9e509403edfd952d571ca0 with x1, x0.