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Proofgold Proof
pf
Let x0 of type
ι
be given.
Assume H0:
0
=
ordsucc
x0
.
Claim L1:
nIn
x0
(
ordsucc
x0
)
Apply H0 with
λ x1 x2 .
nIn
x0
x1
.
The subproof is completed by applying EmptyE with
x0
.
Apply L1.
The subproof is completed by applying ordsuccI2 with
x0
.
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