X-Git-Url: http://git.megacz.com/?p=coq-categories.git;a=blobdiff_plain;f=src%2FFreydCategories.v;h=3e26e376592aa1157989e362e2c6884b237cd31d;hp=c50e732761fd23bdc521da680cdf33b8f6744c84;hb=27ffdd2265eb1c15acc62970f49d25a07bcadb05;hpb=b0262af94b62376527556d79b10c4f1de29a9565

diff --git a/src/FreydCategories.v b/src/FreydCategories.v
index c50e732..3e26e37 100644
--- a/src/FreydCategories.v
+++ b/src/FreydCategories.v
@@ -14,25 +14,29 @@ Require Import Subcategories_ch7_1.
 Require Import NaturalTransformations_ch7_4.
 Require Import NaturalIsomorphisms_ch7_5.
 Require Import Coherence_ch7_8.
+Require Import BinoidalCategories.
+Require Import PreMonoidalCategories.
+Require Import PreMonoidalCenter.
 Require Import MonoidalCategories_ch7_8.
 
 (* A Freyd Category is... *)
 Class FreydCategory
 
   (* a cartesian category C *)
-  `(C:CartesianCat(Ob:=Ob)(C:=C1)(Fobj:=fun x => bobj (fst_obj _ _ x) (snd_obj _ _ x)))
+  `(C:CartesianCat(Ob:=Ob)(C:=C1))
 
   (* a premonoidal category K with the same objects (its unit object is 1 because the functor is both IIO and strict) *)
   `(K:PreMonoidalCat(Ob:=Ob)(bin_obj':=bobj)(I:=@one _ _ _ C))
 
   (* an identity-on-objects functor J:C->Z(K) *)
-:= { fc_J       : Functor C (CenterMonoidal K) (fun x => exist _ x I)
+:= { fc_J       : Functor C (Center_is_Monoidal K) (fun x => exist (fun _ => True) x I)
 
   (* which is not only monoidal *)
-   ; fc_mf_J    : MonoidalFunctor C (CenterMonoidal K) fc_J
+   ; fc_mf_J    : MonoidalFunctor C (Center_is_Monoidal K) fc_J
 
-  (* but in fact strict (meaning the functor's coherence maps are identities) *)
-   ; fc_strict  : forall a, iso_forward (mf_coherence fc_mf_J a) ~~ id _
+   (* but in fact strict (meaning the functor's coherence maps are identities) *)
+   (*; fc_strict  : forall a b, #(mf_first a b) ~~ id _ 
+         FIXME - I will need to separate Subcategory from FullSubCategory in order to fix this *)
 
    ; fc_C       := C
    ; fc_K       := K