Require Import ReificationsAndGeneralizedArrows.
Require Import ReificationsIsomorphicToGeneralizedArrows.
-Require Import HaskProofStratified.
-Require Import HaskProofFlattener.
+Require Import HaskProofCategory.
Require Import ProgrammingLanguage.
(* very slow! *)
Require Import Subcategories_ch7_1.
Require Import NaturalTransformations_ch7_4.
Require Import NaturalIsomorphisms_ch7_5.
+Require Import BinoidalCategories.
+Require Import PreMonoidalCategories.
Require Import MonoidalCategories_ch7_8.
Require Import Coherence_ch7_8.
Require Import Enrichment_ch2_8.
Require Import Subcategories_ch7_1.
Require Import NaturalTransformations_ch7_4.
Require Import NaturalIsomorphisms_ch7_5.
+Require Import BinoidalCategories.
+Require Import PreMonoidalCategories.
Require Import MonoidalCategories_ch7_8.
Require Import Coherence_ch7_8.
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 InitialTerminal_ch2_2.
+Require Import BinoidalCategories.
+Require Import PreMonoidalCategories.
+Require Import MonoidalCategories_ch7_8.
Open Scope nd_scope.
Open Scope pf_scope.
Require Import Subcategories_ch7_1.
Require Import NaturalTransformations_ch7_4.
Require Import NaturalIsomorphisms_ch7_5.
+Require Import BinoidalCategories.
+Require Import PreMonoidalCategories.
Require Import MonoidalCategories_ch7_8.
Require Import Coherence_ch7_8.
Require Import Enrichment_ch2_8.
(* an Arrow In A Programming Language consists of... *)
(* a host language: *)
- Context (Host:ProgrammingLanguageSMME).
+ Context `(Host:ProgrammingLanguage).
(* ... for which Types(L) is cartesian: *)
Context {MF}(center_of_TypesL:MonoidalCat (TypesL _ _ Host) (fun x => (fst_obj _ _ x),,(snd_obj _ _ x)) MF []).
Context (VK:MonoidalSubCat center_of_TypesL).
(* a premonoidal category enriched in aforementioned full subcategory *)
- Context {Kehom:center_of_TypesL -> center_of_TypesL -> VK}.
+ Context (Kehom:center_of_TypesL -> center_of_TypesL -> @ob _ _ VK).
+Check (@ECategory).
+ Context (KE:@ECategory (@ob _ _ VK) (@hom _ _ VK) VK _ VK (mon_i (full_subcat_is_monoidal VK)) (full_subcat_is_monoidal VK) center_of_TypesL Kehom).
- Context {KE:@ECategory _ _ VK _ _ _ VK center_of_TypesL Kehom}.
+Check (Underlying KE).
- Context (CC:CartesianCat center_of_TypesL).
+ Context {kbo:center_of_TypesL -> center_of_TypesL -> center_of_TypesL}.
+
+ Context (kbc:@BinoidalCat center_of_TypesL _ (Underlying KE) kbo).
- Context {kbo}{kbc}(K:@PreMonoidalCat _ _ KE kbo kbc (@one _ _ _ (car_terminal(CartesianCat:=CC)))).
+ Check (@PreMonoidalCat)
+ Definition one' := @one _ _ _ (car_terminal(CartesianCat:=CC))
+ Context (K:@PreMonoidalCat _ _ KE kbo kbc ).
+ Context (CC:CartesianCat center_of_TypesL).
(*
Definition K_enrichment : Enrichment.
Defined.
Context (K_surjective:SurjectiveEnrichment K_enrichment).
*)
+Check (@FreydCategory).
Definition ArrowInProgrammingLanguage :=
@FreydCategory _ _ _ _ _ _ center_of_TypesL _ _ _ _ K.
-Subproject commit a0b31d2cc2b6cf7184efe4ff01ad682749f779ad
+Subproject commit 21607813788d83fb58ce128df442a4ee3edfbdaf