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Proofgold Proof
pf
Let x0 of type
ι
be given.
Assume H0:
1eb0a..
x0
.
Apply unknownprop_14a4ee8538d143fe8dc45eb2eb967d12f82b99130422357962aa2d0a55ab88f9 with
x0
,
SNo
(
8dd2c..
x0
)
leaving 2 subgoals.
The subproof is completed by applying H0.
Assume H1:
SNo
(
8dd2c..
x0
)
.
Assume H2:
∃ x1 .
and
(
SNo
x1
)
(
∃ x2 .
and
(
SNo
x2
)
(
∃ x3 .
and
(
SNo
x3
)
(
∃ x4 .
and
(
SNo
x4
)
(
∃ x5 .
and
(
SNo
x5
)
(
∃ x6 .
and
(
SNo
x6
)
(
∃ x7 .
and
(
SNo
x7
)
(
x0
=
bbc71..
(
8dd2c..
x0
)
x1
x2
x3
x4
x5
x6
x7
)
)
)
)
)
)
)
.
The subproof is completed by applying H1.
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