X-Git-Url: http://git.megacz.com/?p=coq-hetmet.git;a=blobdiff_plain;f=src%2FReification.v;h=0daca47012d22f08060a9299fa34536ccf698c7f;hp=2b9aac9ad884a21fd1c99d1b39310bd6f8a2b44e;hb=58275f561112bb1660eda14d535b2601188c3842;hpb=c3b1fb9622a65ad01e54b6e35785cee672d25bdc

diff --git a/src/Reification.v b/src/Reification.v
index 2b9aac9..0daca47 100644
--- a/src/Reification.v
+++ b/src/Reification.v
@@ -33,13 +33,18 @@ Structure Reification (K:Enrichment) (C:Enrichment) (CI:C) :=
 ; reification_rstar_obj : enr_v K -> enr_v C
 ; reification_r         : forall k:K, Functor K C (reification_r_obj k)
 ; reification_rstar_f   :             Functor (enr_v K) (enr_v C) reification_rstar_obj
-; reification_rstar     :             MonoidalFunctor (enr_v_mon K) (enr_v_mon C) reification_rstar_f
-; reification_commutes : ∀ k, reification_r k >>>> HomFunctor C CI <~~~> HomFunctor K k >>>> reification_rstar_f
+; reification_rstar     :             PreMonoidalFunctor (enr_v_mon K) (enr_v_mon C) reification_rstar_f
+; reification_commutes  : ∀ k, reification_r k >>>> HomFunctor C CI <~~~> HomFunctor K k >>>> reification_rstar_f
+
+(* 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 *)
+; reification_host_lang_pure   : CommutativeCat (enr_c_pm C)
 }.
 Transparent HomFunctor.
 Transparent functor_comp.
 
-Coercion reification_rstar : Reification >-> MonoidalFunctor.
+Coercion reification_rstar : Reification >-> PreMonoidalFunctor.
 Implicit Arguments Reification                [ ].
 Implicit Arguments reification_r_obj          [ K C CI ].
 Implicit Arguments reification_r              [ K C CI ].