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Proofgold Proof
pf
Let x0 of type
ι
be given.
Assume H0:
ordinal
x0
.
Let x1 of type
ι
be given.
Assume H1:
x1
∈
SNoS_
x0
.
Apply SepE2 with
prim4
(
SNoElts_
x0
)
,
λ x2 .
∃ x3 .
and
(
x3
∈
x0
)
(
SNo_
x3
x2
)
,
x1
.
The subproof is completed by applying H1.
■