X-Git-Url: http://git.megacz.com/?p=coq-hetmet.git;a=blobdiff_plain;f=src%2FGeneralizedArrowFromReification.v;h=627aa223e52c092396bf0652ebe9fcfa3b7e7b50;hp=e6d3cbdb066d13f6da6230195bafcdceada30757;hb=d2526b193694dd7a5c7ab9d80d6b6656a7459bb9;hpb=992203bb4a221ea2f415c0d14bb34d35af2ee637 diff --git a/src/GeneralizedArrowFromReification.v b/src/GeneralizedArrowFromReification.v index e6d3cbd..627aa22 100644 --- a/src/GeneralizedArrowFromReification.v +++ b/src/GeneralizedArrowFromReification.v @@ -122,9 +122,29 @@ Section GArrowFromReification. Definition garrow_functor := step1_functor >>>> step2_functor. - Definition garrow_from_reification : GeneralizedArrow K C. - refine {| ga_functor := garrow_functor |}. + Lemma garrow_functor_monoidal_niso + : (garrow_functor **** garrow_functor) >>>> (mon_f C) <~~~> (mon_f (enr_v_mon K)) >>>> garrow_functor. + admit. + Defined. + Lemma garrow_functor_monoidal_iso + : mon_i C ≅ garrow_functor (mon_i (enr_v_mon K)). + admit. + Defined. + + Instance garrow_functor_monoidal : MonoidalFunctor (enr_v_mon K) C garrow_functor := + { mf_coherence := garrow_functor_monoidal_niso + ; mf_id := garrow_functor_monoidal_iso + }. admit. + admit. + admit. + Defined. + + Definition garrow_from_reification : GeneralizedArrow K C. + refine + {| ga_functor := garrow_functor + ; ga_functor_monoidal := garrow_functor_monoidal + |}. Defined. End GArrowFromReification.