X-Git-Url: http://git.megacz.com/?p=coq-hetmet.git;a=blobdiff_plain;f=src%2FGeneralizedArrow.v;h=f246cbea99e1844e0a2eabc98a383b609d80b931;hp=9149734daf155b269bdf26c95bf723881ca48959;hb=1215a7fa07083dadaad909ca023a305fc75f7632;hpb=64d416692bda1d36c33b5efa245d46dcf546ad4a

diff --git a/src/GeneralizedArrow.v b/src/GeneralizedArrow.v
index 9149734..f246cbe 100644
--- a/src/GeneralizedArrow.v
+++ b/src/GeneralizedArrow.v
@@ -26,18 +26,19 @@ Require Import PreMonoidalCenter.
 Require Import PreMonoidalCategories.
 Require Import BinoidalCategories.
 
-Class GeneralizedArrow (K:Enrichment) {ce}(C:MonoidalEnrichment ce) :=
-{ 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
-(*
-; 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
-*)
+Class GeneralizedArrow (K:Enrichment)(C:Enrichment) :=
+{ ga_functor_obj      : enr_v K -> C
+; ga_functor          : Functor            (enr_v_mon K) (enr_c_pm C) ga_functor_obj
+; ga_functor_monoidal : PreMonoidalFunctor (enr_v_mon K) (enr_c_pm C) 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 C)
 }.
 Coercion ga_functor_monoidal : GeneralizedArrow >-> PreMonoidalFunctor.
 
-Implicit Arguments GeneralizedArrow    [ [ce] ].
-Implicit Arguments ga_functor_obj      [ K ce C ].
-Implicit Arguments ga_functor          [ K ce C ].
-Implicit Arguments ga_functor_monoidal [ K ce C ].
+Implicit Arguments GeneralizedArrow    [ ].
+Implicit Arguments ga_functor_obj      [ K C ].
+Implicit Arguments ga_functor          [ K C ].
+Implicit Arguments ga_functor_monoidal [ K C ].