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_5a55ae6da060bd3592cd2518e6392e5786971bf34a92b383078bce38ef6a8408 with
x0,
x1,
ChurchNum_ii_5 ChurchNum2 x0 x2 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_5a55ae6da060bd3592cd2518e6392e5786971bf34a92b383078bce38ef6a8408 with
x0,
x1,
x2 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.