Let x0 of type ι be given.
Apply set_ext with
22ca9.. x0,
f482f.. x0 (4ae4a.. 4a7ef..) leaving 2 subgoals.
Let x1 of type ι be given.
Apply unknownprop_5843a53f522dbf92d80ac36289685067f008fd2f46b9067d54fc3bf68053a1a3 with
x0,
4ae4a.. 4a7ef..,
x1.
Apply unknownprop_faa0906fd70676f18d9a02c8ff6587696be109a33d66d00ec0a508d4784f9592 with
x0,
x1.
The subproof is completed by applying H0.
Let x1 of type ι be given.
Apply unknownprop_0b996f3ce0151f58af219429b661039e0f6628ef50f5457c6338b0fd3feaa164 with
x0,
x1.
Apply unknownprop_94a9448d53fe41e2f423017518d13b5ed4aaa7ee3f113a3a8a767ea0e11959dd with
x0,
4ae4a.. 4a7ef..,
x1.
The subproof is completed by applying H0.