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Proofgold Proof
pf
Let x0 of type
ι
be given.
Let x1 of type
ι
be given.
Assume H0:
SNoLt
x0
x1
.
Apply PNoLeI1 with
SNoLev
x0
,
SNoLev
x1
,
λ x2 .
x2
∈
x0
,
λ x2 .
x2
∈
x1
.
The subproof is completed by applying H0.
■