Let x0 of type ι → ο be given.
Let x1 of type (ι → ι) → ο be given.
Assume H0: ∀ x2 : ι → ι . x1 x2 ⟶ ∀ x3 . x0 x3 ⟶ x0 (x2 x3).
Let x2 of type ι → ι be given.
Let x3 of type ι → ι be given.
Let x4 of type ι → ι be given.
Let x5 of type ι → ι be given.
Let x6 of type ι → ι be given.
Assume H1: x1 x2.
Assume H2: x1 x3.
Assume H3: x1 x4.
Assume H4: x1 x5.
Assume H5: x1 x6.
Let x7 of type ι be given.
Assume H6: x0 x7.
Apply H0 with
x6,
x5 (x4 (x3 (x2 x7))) leaving 2 subgoals.
The subproof is completed by applying H5.
Apply unknownprop_ab41805a8a4ab7c7c01a1df079c60a640aa70314c21617f5f9dfae767cc5368c with
x0,
x1,
x2,
x3,
x4,
x5,
x7 leaving 6 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
The subproof is completed by applying H6.