Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0:
not (x0 = x1).
Apply unknownprop_e284d5f5a7c3a1c03631041619c4ddee06de72330506f5f6d9d6b18df929e48c with
ordsucc x0 = ordsucc x1.
Apply notE with
x0 = x1 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_60abe2ef0ccd78a594794787666c926523153e194cc1f57a533bf14f6930c3c8 with
x0,
x1.
The subproof is completed by applying H1.