Let x0 of type ι → ι → ο be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Let x3 of type ι be given.
Let x4 of type ι be given.
Assume H0: x0 x1 x2.
Assume H1:
not (x0 x3 x4).
Apply H2.
Apply unknownprop_e284d5f5a7c3a1c03631041619c4ddee06de72330506f5f6d9d6b18df929e48c with
x1 = x3.
Assume H4: x1 = x3.
Apply H3.
Apply unknownprop_e284d5f5a7c3a1c03631041619c4ddee06de72330506f5f6d9d6b18df929e48c with
x2 = x4.
Assume H5: x2 = x4.
Apply notE with
x0 x3 x4 leaving 2 subgoals.
The subproof is completed by applying H1.
Apply H4 with
λ x5 x6 . x0 x5 x4.
Apply H5 with
λ x5 x6 . x0 x1 x5.
The subproof is completed by applying H0.