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Proofgold Proof
pf
Let x0 of type
ι
be given.
Let x1 of type
ι
be given.
Let x2 of type
ι
→
ι
be given.
Assume H0:
explicit_Nats
x0
x1
x2
.
Let x3 of type
ι
be given.
Assume H1:
prim1
x3
x0
.
Apply explicit_Nats_primrec_base with
x0
,
x1
,
x2
,
x2
x3
,
λ x4 x5 .
x2
x5
.
The subproof is completed by applying H0.
■