X-Git-Url: http://git.megacz.com/?p=coq-categories.git;a=blobdiff_plain;f=src%2FFunctors_ch1_4.v;h=ee644ae660d85910543daa066808474bf48e031d;hp=78f4b59bc65cef57fc3f4bc85462bf4cb6a30342;hb=2403342ad32f12dd56a82ce575dd2d35d91f545a;hpb=ff3003c261295c60d367580b6700396102eb5a9c diff --git a/src/Functors_ch1_4.v b/src/Functors_ch1_4.v index 78f4b59..ee644ae 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 Categories_ch1_3. (******************************************************************************) @@ -103,12 +102,14 @@ 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: *) (* Definition IsomorphicCategories := Isomorphic (CategoryOfCategories). *)