Let x0 of type ι be given.
Let x1 of type ι → ο be given.
Let x2 of type ι → ο be given.
Let x3 of type ι → ο be given.
Apply unknownprop_ee0b4b64aba8e6af97035d72b359ab8e1ae1e5e06024c58477c9410cad648356 with
λ x4 x5 : ι → (ι → ο) → (ι → ο) → ο . x5 x0 x1 x2 ⟶ x5 x0 x2 x3 ⟶ x5 x0 x1 x3.
Assume H0:
(λ x4 . λ x5 x6 : ι → ο . ∀ x7 . In x7 x4 ⟶ iff (x5 x7) (x6 x7)) x0 x1 x2.
Assume H1:
(λ x4 . λ x5 x6 : ι → ο . ∀ x7 . In x7 x4 ⟶ iff (x5 x7) (x6 x7)) x0 x2 x3.
Let x4 of type ι be given.
Apply unknownprop_68433044b651f815de6bd55fdf1ead3da0185ad9dd4dd163481f2c8e9f69f9f3 with
x1 x4,
x2 x4,
x3 x4 leaving 2 subgoals.
Apply H0 with
x4.
The subproof is completed by applying H2.
Apply H1 with
x4.
The subproof is completed by applying H2.