Require Import FreydCategories.
+Require Import Reification.
+Require Import GeneralizedArrow.
Require Import GeneralizedArrowFromReification.
-Section GArrowInLanguage.
+Require Import ProgrammingLanguage.
- Definition GeneralizedArrowInLanguage (Guest:ProgrammingLanguageSMME) (Host :ProgrammingLanguageSMME)
- := GeneralizedArrow Guest Host.
-
- Definition ArrowsAreGeneralizedArrows (Host:ProgrammingLanguageSMME)
- {mf}{mn}{cc}{kehom}{CC}
- (arrow:ArrowInProgrammingLanguage Host _ _ CC mf mn cc kehom) : GeneralizedArrowInLanguage.
-
- Definition TwoLevelLanguage := Reification Guest Host (me_i Host).
+Require Import ReificationsAndGeneralizedArrows.
+Require Import ReificationFromGeneralizedArrow.
- Context (GuestHost:TwoLevelLanguage).
+Section ProgrammingLanguageGeneralizedArrow.
- Definition FlatObject (x:TypesL _ _ Host) :=
- forall y1 y2, not ((reification_r_obj GuestHost y1 y2)=x).
+ Context (Guest:ProgrammingLanguageSMME) (Host :ProgrammingLanguageSMME).
- Definition FlatSubCategory := FullSubcategory (TypesL _ _ Host) FlatObject.
-
- Section Flattening.
-
- Context (F:Retraction (TypesL _ _ Host) FlatSubCategory).
- Definition FlatteningOfReification := garrow_from_reification Guest Host GuestHost >>>> F.
- Lemma FlatteningIsNotDestructive :
- FlatteningOfReification >>>> retraction_retraction F >>>> HomFunctor _ (me_i Host) ~~~~ GuestHost.
- admit.
- Qed.
+ Definition GeneralizedArrowInLanguage
+ := GeneralizedArrow Guest Host.
- End Flattening.
+End ProgrammingLanguageGeneralizedArrow.
-End GArrowInLanguage.