(*********************************************************************************************************************************) (* ReificationFromGeneralizedArrow: *) (* *) (* Turn a reification into a generalized arrow *) (* *) (*********************************************************************************************************************************) 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 Reification. Require Import GeneralizedArrow. Definition reification_from_garrow (K:Enrichment) {ce} (C:MonoidalEnrichment ce) (garrow : GeneralizedArrow K C) : Reification K C (mon_i C). refine {| reification_r := fun k:K => RepresentableFunctor K k >>>> garrow ; reification_rstar_f := garrow >>>> me_mf C ; reification_rstar := MonoidalFunctorsCompose _ _ _ _ _ garrow (me_mf C) |}. abstract (intros; set (@ni_associativity) as q; apply q). Defined.