diff --git a/docs/algebra.tex b/docs/algebra.tex index 13822e76d7eab4bc107f8de0fd6de28e702603dc..f9ee23ccda21a67cf0f2970cd96a00cc430d56f0 100644 --- a/docs/algebra.tex +++ b/docs/algebra.tex @@ -36,7 +36,7 @@ \ralf{Copy the rest of the explanation from the paper, when that one is more polished.} -\paragraph{The division operation $\mdiv$.} +\paragraph{The division operator $\mdiv$.} One way to describe $\mdiv$ is to say that it extracts the witness from the extension order: If $\melt \leq \meltB$, then $\melt \mdiv \meltB$ computes the difference between the two elements (\ruleref{cmra-div-op}). Otherwise, $\mdiv$ can have arbitrary behavior. This means that, in classical logic, the division operator can be defined for any PCM using the axiom of choice, and it will trivially satisfy \ruleref{cmra-div-op}.