X-Git-Url: http://git.megacz.com/?p=coq-hetmet.git;a=blobdiff_plain;f=src%2FReificationsIsomorphicToGeneralizedArrows.v;fp=src%2FReificationsIsomorphicToGeneralizedArrows.v;h=25febe0fc145ee7d1abe2a7d7ce196ac56ba91f8;hp=756d250a2c8354122fbd744fa88d5ef34d770018;hb=e3e2ce9cb83acdd8191049b4e9bd3d4fcf6a4db4;hpb=9adf3f5756893322d0114f89c0908590817eda2b diff --git a/src/ReificationsIsomorphicToGeneralizedArrows.v b/src/ReificationsIsomorphicToGeneralizedArrows.v index 756d250..25febe0 100644 --- a/src/ReificationsIsomorphicToGeneralizedArrows.v +++ b/src/ReificationsIsomorphicToGeneralizedArrows.v @@ -1,7 +1,7 @@ (*********************************************************************************************************************************) -(* ReificationsEquivalentToGeneralizedArrows: *) +(* ReificationsIsomorphicToGeneralizedArrows: *) (* *) -(* The category of generalized arrows and the category of reifications are equivalent categories. *) +(* The category of generalized arrows and the category of reifications are isomorphic categories. *) (* *) (*********************************************************************************************************************************) @@ -27,7 +27,8 @@ Require Import GeneralizedArrowFromReification. Require Import ReificationFromGeneralizedArrow. Require Import ReificationCategory. Require Import GeneralizedArrowCategory. -Require Import ReificationsEquivalentToGeneralizedArrows. +Require Import ReificationCategory. +Require Import ReificationsAndGeneralizedArrows. Require Import WeakFunctorCategory. Section ReificationsIsomorphicToGeneralizedArrows. @@ -43,16 +44,6 @@ Section ReificationsIsomorphicToGeneralizedArrows. (step1_functor s0 s1 r01 >>>> InclusionFunctor (enr_v s1) (FullImage (RepresentableFunctor s1 (me_i s1)))) >>>> step1_functor s1 s2 r12 ≃ step1_functor s0 s2 (compose_reifications s0 s1 s2 r01 r12). - unfold IsomorphicFunctors. - simpl. - idtac. - unfold compose_reifications at 0. - eapply Build_IsomorphicFunctors. - unfold step1_functor. - unfold InclusionFunctor. - simpl. - unfold functor_comp. - simpl. admit. Defined.