If you type help set, then - among other things - a list of shell options is displayed. But these options are not the same as those displayed with shopt. And different also from those displayed with set and env.
Is there a command which displays options such as errexit and braceexpand and their current values?
Also, what is the connection between the different option commands? What does set display that env doesn't / what does shopt display that set doesn't / etc ?
(bash 3.2.51 on Mac OS X 10.9.1)