Definition idGfun gT := @id {set gT}.

(* Specifications: *)
Lemma idGfun_closed : GFunctor.closed idGfun.
Lemma idGfun_cont : GFunctor.continuous idGfun.
Lemma idGfun_monotonic : GFunctor.monotonic idGfun.
Lemma trivGfun_cont : GFunctor.pcontinuous trivGfun.