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When I made inhabitant redirect to term a few minutes ago, I noticed a bunch of orphaned related entries.
For instance inhabited type since long ago redirect to inhabited set. I haven’t changed that yet, but I added some cross links and comments to make clear that and how the three
are related. The state of these entries deserves to be improved on, but I won’t do anything further right now.
But inhabitant doesn’t redirect to term; in fact, inhabitant redirects nowhere, and nothing (except the plural) redirects to term.
Should I fix that, or did you change your mind?
Woops. Thanks for catching that. Not sure what happened there. I did mean to have both inhabitant and inhabitants redirect to term. Did that now.
But let me know if you think it should have an entry of its own.
Somebody with a spare minute should please fix inhabited type: it fails to properly discuss the distinction between a type admitting a term, and its propositional truncation admitting a term.
I made a slight amendment to the opening paragraph, which is parallel, but I prefer that someone more immersed in type theory do the honors re propositional truncation.
Is the redirect to ’inhabited set’ ideal?
Personally, I would make “inhabitant” redirect to element; to me a “term” is a much more syntactic thing.
I tried to clean up the discussions of the two kinds of inhabitation, in particular moving the theorem about well-pointed toposes from inhabited set to inhabited object.
Thanks!
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