Let x0 of type ι → ι be given.
Let x1 of type ι → ο be given.
Assume H0: ∀ x2 . x1 x2 ⟶ x1 (x0 x2).
Let x2 of type ι be given.
Assume H1: x1 x2.
Apply unknownprop_cd8820c0941404bc0ee6e2d99bfa9cb130b650b8c5580df573b90c29b818d998 with
x0,
x1,
ChurchNum2 x0 x2 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_cd8820c0941404bc0ee6e2d99bfa9cb130b650b8c5580df573b90c29b818d998 with
x0,
x1,
x2 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.