Let x0 of type ι → ο be given.
Assume H0:
not (∀ x1 . x0 x1).
Apply unknownprop_b777a79c17f16cd28153af063df26a4626b11c1f1d4394d7f537c11837ab0962 with
∃ x1 . not (x0 x1).
Assume H1:
not (∃ x1 . not (x0 x1)).
Apply notE with
∀ x1 . x0 x1 leaving 2 subgoals.
The subproof is completed by applying H0.
Let x1 of type ι be given.
Apply unknownprop_b777a79c17f16cd28153af063df26a4626b11c1f1d4394d7f537c11837ab0962 with
x0 x1.
Apply notE with
not (x0 x1) leaving 2 subgoals.
Apply unknownprop_e71e48a383f529f68afdc14358189461de3d3a97993b62a8cb1f5e89e6531b39 with
λ x2 . not (x0 x2),
x1.
The subproof is completed by applying H1.
The subproof is completed by applying H2.