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Proofgold Proof
pf
Let x0 of type
ι
→
ι
be given.
Let x1 of type
ι
→
ο
be given.
Assume H0:
∀ x2 .
x1
x2
⟶
x1
(
x0
x2
)
.
Let x2 of type
ι
be given.
Assume H1:
x1
x2
.
Apply H0 with
x0
x2
.
Apply H0 with
x2
.
The subproof is completed by applying H1.
■