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Proofgold Proof
pf
Apply pair_tuple_fun with
λ x0 x1 :
ι →
ι → ι
.
∀ x2 x3 x4 x5 .
x0
x2
x3
=
x0
x4
x5
⟶
and
(
x2
=
x4
)
(
x3
=
x5
)
.
The subproof is completed by applying pair_inj.
■