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created models in presheaf toposes with the statement of the fact that T-models in presheaves are presheaves of T-models, at least for T a geometric theory.
Added a pointer to this from the corresponding discussion at group object.
Is geometric logic more restrictive than necessary for this result? The same is true even for T a theory making use of infinitary limits, no?
Yeah, so I just put down Johnstone’s cor. D1.2.4 which of course in its full form in the book has a second part of the statement which does depend on finite limits.
Please feel invited to edit the entry further.
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