diff --git a/docs/constructions.tex b/docs/constructions.tex index 890972fc3ffcbbe47347e17317c4b98d85d3d525..0a205d8450d472dd288c9f6e4f9ddde69b5c071a 100644 --- a/docs/constructions.tex +++ b/docs/constructions.tex @@ -34,7 +34,9 @@ $\UPred(-)$ is a locally non-expansive functor from $\CMRAs$ to $\COFEs$. It is worth noting that the above quotient admits canonical representatives. More precisely, one can show that every 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{UPred-canonical} +\end{align*} Intuitively, this says that $P_0$ trivially holds whenever the resource is invalid. Starting from any element $P$, one can find this canonical representative by choosing $P_0(\melt) := \setComp{n}{n \in \mval(\melt) \Ra n \in P(\melt)}$.