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Proofgold Proof
pf
The subproof is completed by applying Sep_Subq with
SNoS_
(
ordsucc
omega
)
,
λ x0 .
and
(
and
(
and
(
SNoL_omega
x0
=
0
⟶
∀ x1 : ο .
x1
)
(
SNoR_omega
x0
=
0
⟶
∀ x1 : ο .
x1
)
)
(
f8473..
(
SNoL_omega
x0
)
)
)
(
f8473..
(
SNoR_omega
x0
)
)
.
■