@@ -513,6 +513,10 @@ For this reason, we also call such accessors \emph{non-atomic}.
The reasons accessors are useful is that they let us talk about ``opening X'' (\eg ``opening invariants'') without having to care what X is opened around.
Furthermore, as we construct more sophisticated and more interesting things that can be opened (\eg invariants that can be ``cancelled'', or STSs), accessors become a useful interface that allows us to mix and match different abstractions in arbitrary ways.
For the special case that $\prop=\propC$ and $\propB=\propB'$, we use the following notation that avoids repetition:
This accessor is ``idempotent'' in the sense that it doesn't actually change the state. After applying it, we get our $\prop$ back so we end up where we started.