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Proofgold Proof
pf
Let x0 of type
ι
be given.
Assume H0:
nat_p
x0
.
Apply unknownprop_e035ccd16bb305d259d20b57e034a90667f30a56ad775c5970c7772a1a1dd44d with
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
x0
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
.
Apply unknownprop_e035ccd16bb305d259d20b57e034a90667f30a56ad775c5970c7772a1a1dd44d with
x0
.
The subproof is completed by applying H0.
■