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Proofgold Proof
pf
Apply pair_tuple_fun with
λ x0 x1 :
ι →
ι → ι
.
∀ x2 .
∀ x3 :
ι → ι
.
∀ x4 .
x4
∈
lam
x2
(
λ x5 .
x3
x5
)
⟶
x0
(
ap
x4
0
)
(
ap
x4
1
)
=
x4
.
The subproof is completed by applying Sigma_eta.
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