Let x0 of type ι be given.
Let x1 of type ι be given.
Apply H1.
Apply unknownprop_e284d5f5a7c3a1c03631041619c4ddee06de72330506f5f6d9d6b18df929e48c with
x1 = x0.
Assume H2: x1 = x0.
Apply unknownprop_8369708f37c0d20e10b6156293f1b207e835dfc563ff7fbfa059bf26c84ddb80 with
x1,
Sing x0 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply H2 with
λ x2 x3 . In x3 (Sing x0).
The subproof is completed by applying unknownprop_e96dbc98c3bbaccd959c44021711d14fb0c42be8979571d40cfb87c8bcb73964 with x0.