X-Git-Url: http://git.megacz.com/?p=coq-hetmet.git;a=blobdiff_plain;f=src%2FGeneralizedArrow.v;h=303baef5c31d1bc42a1c10a53c4905d74971fd44;hp=f2465675526f995ae95338299713edf1888cf5c6;hb=443ffa2812bff032a13e33010e8fd1380f7215f1;hpb=76f4613eaa5989e29bfd59d716c216ee5386c5f7

diff --git a/src/GeneralizedArrow.v b/src/GeneralizedArrow.v
index f246567..303baef 100644
--- a/src/GeneralizedArrow.v
+++ b/src/GeneralizedArrow.v
@@ -20,16 +20,30 @@ Require Import NaturalIsomorphisms_ch7_5.
 Require Import MonoidalCategories_ch7_8.
 Require Import Coherence_ch7_8.
 Require Import Enrichment_ch2_8.
+Require Import Enrichments.
 Require Import RepresentableStructure_ch7_2.
+Require Import PreMonoidalCenter.
+Require Import PreMonoidalCategories.
+Require Import BinoidalCategories.
 
-Class GeneralizedArrow (K:Enrichment) (C:MonoidalEnrichment) :=
-{ ga_functor_obj      : enr_v_mon K -> C
-; ga_functor          : Functor (enr_v_mon K) C ga_functor_obj
-; ga_functor_monoidal : MonoidalFunctor (enr_v_mon K) C ga_functor
+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
+
+(* 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
+*)
 }.
-Coercion ga_functor_monoidal : GeneralizedArrow >-> MonoidalFunctor.
+Coercion ga_functor_monoidal : GeneralizedArrow >-> PreMonoidalFunctor.
 
-Implicit Arguments GeneralizedArrow    [ ].
-Implicit Arguments ga_functor_obj      [ K C ].
-Implicit Arguments ga_functor          [ K C ].
-Implicit Arguments ga_functor_monoidal [ K C ].
+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 ].