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Proofgold Proof
pf
Let x0 of type
ι
be given.
Assume H0:
ordinal
x0
.
Let x1 of type
ο
be given.
Assume H1:
∀ x2 .
and
(
ordinal
x2
)
(
SNo_
x2
x0
)
⟶
x1
.
Apply H1 with
x0
.
Apply andI with
ordinal
x0
,
SNo_
x0
x0
leaving 2 subgoals.
The subproof is completed by applying H0.
Apply ordinal_SNo_ with
x0
.
The subproof is completed by applying H0.
■