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Proofgold Proof
pf
Let x0 of type
ι
→
ο
be given.
Apply Empty_eq with
{x1 ∈
0
|
x0
x1
}
.
Let x1 of type
ι
be given.
Assume H0:
x1
∈
Sep
0
x0
.
Apply EmptyE with
x1
.
Apply SepE1 with
0
,
x0
,
x1
.
The subproof is completed by applying H0.
■