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Proofgold Proof
pf
Let x0 of type
(
(
ι
→
ι
) →
ι
→
ι
) →
ο
be given.
Assume H0:
x0
(
λ x1 :
ι → ι
.
λ x2 .
x2
)
.
Assume H1:
∀ x1 :
(
ι → ι
)
→
ι → ι
.
x0
x1
⟶
x0
(
λ x2 :
ι → ι
.
λ x3 .
x2
(
x1
x2
x3
)
)
.
The subproof is completed by applying H0.
■