Let x0 of type ι → ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Assume H0:
not (x0 x1 = x0 x2).
Apply H1.
Apply unknownprop_e284d5f5a7c3a1c03631041619c4ddee06de72330506f5f6d9d6b18df929e48c with
x1 = x2.
Assume H2: x1 = x2.
Apply notE with
x0 x1 = x0 x2 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply f_eq_i with
x0,
x1,
x2.
The subproof is completed by applying H2.