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Proofgold Proof
pf
Let x0 of type
ι
be given.
Assume H0:
CSNo
x0
.
Apply CSNo_Im1 with
x0
,
SNo
(
CSNo_Im
x0
)
leaving 2 subgoals.
The subproof is completed by applying H0.
Assume H1:
SNo
(
CSNo_Im
x0
)
.
Assume H2:
x0
=
SNo_pair
(
CSNo_Re
x0
)
(
CSNo_Im
x0
)
.
The subproof is completed by applying H1.
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