use WeakFunctorCategory to prove GArrow/Reification isomorphism

[coq-hetmet.git] / src / SmallSMMEs.v

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+(*********************************************************************************************************************************)
+(* SmallSMMEs:                                                                                                                   *)
+(*                                                                                                                               *)
+(*         The collection of SMMEs is a collection of small categories (see SmallCategories)                                     *)
+(*                                                                                                                               *)
+(*********************************************************************************************************************************)
+
+Generalizable All Variables.
+Require Import Preamble.
+Require Import General.
+Require Import Categories_ch1_3.
+Require Import Functors_ch1_4.
+Require Import Isomorphisms_ch1_5.
+Require Import ProductCategories_ch1_6_1.
+Require Import OppositeCategories_ch1_6_2.
+Require Import Enrichment_ch2_8.
+Require Import Subcategories_ch7_1.
+Require Import NaturalTransformations_ch7_4.
+Require Import NaturalIsomorphisms_ch7_5.
+Require Import MonoidalCategories_ch7_8.
+Require Import Coherence_ch7_8.
+Require Import Enrichment_ch2_8.
+Require Import RepresentableStructure_ch7_2.
+Require Import GeneralizedArrow.
+Require Import WeakFunctorCategory.
+
+
+Definition SMMEs : SmallCategories.
+  refine {| small_cat       := SMME
+          ; small_cat_cat   := fun smme => enr_v smme
+          |}.
+  Defined.