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4cb0d91d
Commit
4cb0d91d
authored
Dec 10, 2017
by
Ralf Jung
Browse files
fix a LeTeX warning
parent
3f321758
Pipeline
#5809
passed with stages
in 6 minutes and 25 seconds
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docs/constructions.tex
View file @
4cb0d91d
...
@@ 34,7 +34,9 @@ $\UPred()$ is a locally nonexpansive functor from $\CMRAs$ to $\COFEs$.
...
@@ 34,7 +34,9 @@ $\UPred()$ is a locally nonexpansive functor from $\CMRAs$ to $\COFEs$.
It is worth noting that the above quotient admits canonical
It is worth noting that the above quotient admits canonical
representatives. More precisely, one can show that every
representatives. More precisely, one can show that every
equivalence class contains exactly one element
$
P
_
0
$
such that:
equivalence class contains exactly one element
$
P
_
0
$
such that:
\[
\All
n,
\melt
.
(
\mval
(
\melt
)
\nincl
{
n
}
P
_
0
(
\melt
))
\Ra
n
\in
P
_
0
(
\melt
)
\tagH
{
UPred

canonical
}
\]
\begin{align*}
\All
n,
\melt
. (
\mval
(
\melt
)
\nincl
{
n
}
P
_
0(
\melt
))
\Ra
n
\in
P
_
0(
\melt
)
\tagH
{
UPredcanonical
}
\end{align*}
Intuitively, this says that
$
P
_
0
$
trivially holds whenever the resource is invalid.
Intuitively, this says that
$
P
_
0
$
trivially holds whenever the resource is invalid.
Starting from any element
$
P
$
, one can find this canonical
Starting from any element
$
P
$
, one can find this canonical
representative by choosing
$
P
_
0
(
\melt
)
:
=
\setComp
{
n
}{
n
\in
\mval
(
\melt
)
\Ra
n
\in
P
(
\melt
)
}$
.
representative by choosing
$
P
_
0
(
\melt
)
:
=
\setComp
{
n
}{
n
\in
\mval
(
\melt
)
\Ra
n
\in
P
(
\melt
)
}$
.
...
...
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