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Proofgold Proof
pf
Let x0 of type
ι
be given.
Let x1 of type
ι
be given.
Assume H0:
0b8ef..
x0
=
0b8ef..
x1
.
Apply unknownprop_3b55668ebff4b5090f31d28781617fd36508e9eaa3458c4a604deaa4db096497 with
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x3
x3
)
)
(
prim0
(
prim0
x2
x2
)
(
prim0
x3
x3
)
)
)
)
)
(
prim1
(
λ x2 .
x2
)
)
,
x0
,
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x3
x3
)
)
(
prim0
(
prim0
x2
x2
)
(
prim0
x3
x3
)
)
)
)
)
(
prim1
(
λ x2 .
x2
)
)
,
x1
.
The subproof is completed by applying H0.
■