{ ga_functor_obj : enr_v K -> ce
; ga_functor : Functor (enr_v_mon K) (enr_c_pm ce) ga_functor_obj
; ga_functor_monoidal : PreMonoidalFunctor (enr_v_mon K) (enr_c_pm ce) ga_functor
+
+(* We require that the host language (but NOT the guest language) be pure, i.e. all morphisms central, to simplify
+ * things. If this doesn't suit you, just consider the "host language" here to be the pure sublanguage of the
+ * host language, and toss on the inclusion functor to the full language *)
+; ga_host_lang_pure : CommutativeCat (enr_c_pm ce)
+
(*
; ga_functor : Functor (enr_v_mon K) (Center_is_Monoidal (enr_c_pm ce)) ga_functor_obj
; ga_functor_monoidal : MonoidalFunctor (enr_v_mon K) (Center_is_Monoidal (enr_c_pm ce)) ga_functor