X-Git-Url: http://git.megacz.com/?p=coq-hetmet.git;a=blobdiff_plain;f=src%2FGeneralizedArrowFromReification.v;h=f17caa5c4d2c22a6696134ab31973b3d6d6ae2b7;hp=6aeaace1529d85ae36c9cd17c7df0d552e0c47b2;hb=e536cc4194f350ed6de5d465bcf53fda650b3d12;hpb=76f4613eaa5989e29bfd59d716c216ee5386c5f7 diff --git a/src/GeneralizedArrowFromReification.v b/src/GeneralizedArrowFromReification.v index 6aeaace..f17caa5 100644 --- a/src/GeneralizedArrowFromReification.v +++ b/src/GeneralizedArrowFromReification.v @@ -26,7 +26,7 @@ Require Import GeneralizedArrow. Section GArrowFromReification. - Context (K:SurjectiveEnrichment) (C:MonicMonoidalEnrichment) (reification : Reification K C (me_i C)). + Context `(K:SurjectiveEnrichment ke) `(C:MonicMonoidalEnrichment ce cme) (reification : Reification K C (me_i C)). Fixpoint garrow_fobj_ vk : C := match vk with @@ -35,13 +35,13 @@ Section GArrowFromReification. | t1,,t2 => me_f C (pair_obj (garrow_fobj_ t1) (garrow_fobj_ t2)) end. - Definition garrow_fobj vk := garrow_fobj_ (projT1 (se_decomp K vk)). + Definition garrow_fobj vk := garrow_fobj_ (projT1 (se_decomp _ K vk)). Definition homset_tensor_iso : forall vk:enr_v_mon K, (reification_rstar reification vk) ≅ ehom(ECategory:=C) (me_i C) (garrow_fobj vk). intros. unfold garrow_fobj. - set (se_decomp K vk) as sevk. + set (se_decomp _ K vk) as sevk. destruct sevk. simpl in *. rewrite e. @@ -107,6 +107,14 @@ Section GArrowFromReification. apply (fmor_preserves_comp reification)). Defined. +(* + Definition FullImage_Monoidal + `(F:@Functor Cobj CHom C1 Dobj DHom D1 Fobj) `(mc:MonoidalCat D1 Mobj MF) : MonoidalCat (FullImage F) Mobj. + + Definition step1_functor_monoidal : MonoidalFunctor (enr_v_mon K) step1_functor. + admit. + Defined. +*) Definition step1_niso : reification ≃ step1_functor >>>> InclusionFunctor _ (FullImage (RepresentableFunctor C (me_i C))). exists (fun c1 => homset_tensor_iso c1). abstract (intros; @@ -124,6 +132,11 @@ Section GArrowFromReification. Definition garrow_from_reification : GeneralizedArrow K C. refine {| ga_functor := garrow_functor |}. + (* + unfold garrow_functor. + apply MonoidalFunctorsCompose. + apply MonoidalFunctorsCompose. + *) admit. Defined.