X-Git-Url: http://git.megacz.com/?p=coq-hetmet.git;a=blobdiff_plain;f=src%2FProgrammingLanguageArrow.v;h=40bc1649f3dab364a4a31521e7c323c5d83536fb;hp=f4a0d8e9b2cca8010c88ec23d73ae61d75f91d84;hb=d1a4d10de986d774d3cfb10348036cb60bc80277;hpb=e83fd6f566ed0a7aaff19d67c2c2b64d08f98f7c diff --git a/src/ProgrammingLanguageArrow.v b/src/ProgrammingLanguageArrow.v index f4a0d8e..40bc164 100644 --- a/src/ProgrammingLanguageArrow.v +++ b/src/ProgrammingLanguageArrow.v @@ -122,7 +122,7 @@ Section ArrowInLanguage. (* an Arrow In A Programming Language consists of... *) (* a host language: *) - Context (Host:ProgrammingLanguageSMME). + Context `(Host:ProgrammingLanguage). (* ... for which Types(L) is cartesian: *) Context {MF}(center_of_TypesL:MonoidalCat (TypesL _ _ Host) (fun x => (fst_obj _ _ x),,(snd_obj _ _ x)) MF []). @@ -131,13 +131,20 @@ Section ArrowInLanguage. Context (VK:MonoidalSubCat center_of_TypesL). (* a premonoidal category enriched in aforementioned full subcategory *) - Context {Kehom:center_of_TypesL -> center_of_TypesL -> VK}. + Context (Kehom:center_of_TypesL -> center_of_TypesL -> @ob _ _ VK). +Check (@ECategory). + Context (KE:@ECategory (@ob _ _ VK) (@hom _ _ VK) VK _ VK (mon_i (full_subcat_is_monoidal VK)) (full_subcat_is_monoidal VK) center_of_TypesL Kehom). - Context {KE:@ECategory _ _ VK _ _ _ VK center_of_TypesL Kehom}. +Check (Underlying KE). - Context (CC:CartesianCat center_of_TypesL). + Context {kbo:center_of_TypesL -> center_of_TypesL -> center_of_TypesL}. + + Context (kbc:@BinoidalCat center_of_TypesL _ (Underlying KE) kbo). - Context {kbo}{kbc}(K:@PreMonoidalCat _ _ KE kbo kbc (@one _ _ _ (car_terminal(CartesianCat:=CC)))). + Check (@PreMonoidalCat) + Definition one' := @one _ _ _ (car_terminal(CartesianCat:=CC)) + Context (K:@PreMonoidalCat _ _ KE kbo kbc ). + Context (CC:CartesianCat center_of_TypesL). (* Definition K_enrichment : Enrichment. @@ -145,6 +152,7 @@ Section ArrowInLanguage. Defined. Context (K_surjective:SurjectiveEnrichment K_enrichment). *) +Check (@FreydCategory). Definition ArrowInProgrammingLanguage := @FreydCategory _ _ _ _ _ _ center_of_TypesL _ _ _ _ K.