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Proofgold Proof
pf
Assume H0:
ordinal
(
Sing
1
)
.
Apply H0 with
False
.
Assume H1:
TransSet
(
Sing
1
)
.
Assume H2:
∀ x0 .
x0
∈
Sing
1
⟶
TransSet
x0
.
Apply not_TransSet_Sing1.
The subproof is completed by applying H1.
■