X-Git-Url: http://git.megacz.com/?p=coq-categories.git;a=blobdiff_plain;f=src%2FFunctors_ch1_4.v;h=12e4489ec4586501b1c82750bab4cde54f1cf87b;hp=176563c2b1a55c111893fbaaecd1d8afff25278d;hb=90844bf411c7cddcd92d48c0b020e5775ace0849;hpb=107e8eb4dc6e893c3dd93535c5343eba204659a8

diff --git a/src/Functors_ch1_4.v b/src/Functors_ch1_4.v
index 176563c..12e4489 100644
--- a/src/Functors_ch1_4.v
+++ b/src/Functors_ch1_4.v
@@ -1,6 +1,5 @@
 Generalizable All Variables.
-Require Import Preamble.
-Require Import General.
+Require Import Notations.
 Require Import Categories_ch1_3.
 
 (******************************************************************************)
@@ -103,9 +102,13 @@ Definition EqualFunctors `{C1:Category}`{C2:Category}{F1obj}(F1:Functor C1 C2 F1
   forall a b (f f':a~~{C1}~~>b), f~~f' -> heq_morphisms (F1 \ f) (F2 \ f').
 Notation "f ~~~~ g" := (EqualFunctors f g) (at level 45).
 
-Class IsomorphicCategories `(C:Category)`(D:Category){Fobj}{Gobj}(F:Functor C D Fobj)(G:Functor D C Gobj) :=
-{ ic_forward  : F >>>> G ~~~~ functor_id C
-; ic_backward : G >>>> F ~~~~ functor_id D
+Class IsomorphicCategories `(C:Category)`(D:Category) :=
+{ ic_f_obj    : C -> D
+; ic_g_obj    : D -> C
+; ic_f        : Functor C D ic_f_obj
+; ic_g        : Functor D C ic_g_obj
+; ic_forward  : ic_f >>>> ic_g ~~~~ functor_id C
+; ic_backward : ic_g >>>> ic_f ~~~~ functor_id D
 }.
 
 (* this causes Coq to die: *)