We are not *always* consistent with the definitions,
but I think I think we should be "mostly consistent",
have a reason to be inconsistent, and then *document* that
inconsistency (e.g., in the small table). The consistency greatly eases searching,
which is becoming more & more important over time now that
we have so many proven theorems (a good problem to have!).
We could change the labels to match the definitions, *or* we
could change the definition names to match the preferred labels.
The new proposed definition names make sense to me, and if
they help others then great!
--- David A. Wheeler