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Proofgold Proof
pf
Let x0 of type
ι
be given.
Assume H0:
CSNo
x0
.
Apply Eps_i_ex with
λ x1 .
and
(
SNo
x1
)
(
∃ x2 .
and
(
SNo
x2
)
(
x0
=
SNo_pair
x1
x2
)
)
.
The subproof is completed by applying H0.
■