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Proofgold Proof
pf
Let x0 of type
ι
→
ο
be given.
Assume H0:
not
(
∃ x1 .
x0
x1
)
.
Let x1 of type
ι
be given.
Assume H1:
x0
x1
.
Apply H0.
Let x2 of type
ο
be given.
Assume H2:
∀ x3 .
x0
x3
⟶
x2
.
Apply H2 with
x1
.
The subproof is completed by applying H1.
■