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Proofgold Proof
pf
Let x0 of type
ι
be given.
Let x1 of type
ι
be given.
Assume H0:
0
=
UPair
x0
x1
.
Apply EmptyE with
x0
.
Apply H0 with
λ x2 x3 .
x0
∈
x3
.
The subproof is completed by applying UPairI1 with
x0
,
x1
.
■