From: Adam Megacz Date: Tue, 5 Apr 2011 06:32:04 +0000 (+0000) Subject: formatting fixes X-Git-Url: http://git.megacz.com/?p=coq-categories.git;a=commitdiff_plain;h=901d831e552ff57ba88ba12784c6032372a6f601 formatting fixes --- diff --git a/src/Subcategories_ch7_1.v b/src/Subcategories_ch7_1.v index 2a88a7a..b8412f2 100644 --- a/src/Subcategories_ch7_1.v +++ b/src/Subcategories_ch7_1.v @@ -37,7 +37,7 @@ Instance FullSubCategoriesAreCategories `(fsc:@FullSubcategory Ob Hom C Pobj) Defined. Coercion FullSubCategoriesAreCategories : FullSubcategory >-> Category. -(* every category is a subcategory of itself! *) +(* every category is a subcategory of itself *) (* Instance IdentitySubCategory `(C:Category Ob Hom) : SubCategory C (fun _ => True) (fun _ _ _ _ _ => True). intros; apply Build_SubCategory. @@ -68,7 +68,6 @@ Instance WideSubCategoriesAreCategories `{C:Category(Ob:=Ob)}{Pmor}(wsc:WideSubc ; eqv := fun a b f g => eqv _ _ (projT1 f) (projT1 g) ; comp := fun a b c f g => existT (Pmor a c) (projT1 f >>> projT1 g) (@wsc_comp_included _ _ _ _ wsc _ _ _ _ _ (projT2 f) (projT2 g)) - }. intros; apply Build_Equivalence. unfold Reflexive. intros; reflexivity. @@ -211,6 +210,8 @@ Definition EssentiallySurjectiveOnObjects `(F:Functor(c1:=C1)(c2:=C2)(fobj:=Fobj forall o2:C2, { o1:C1 & (F o1) ≅ o2 }. (* Definition 7.1: (essentially) injective on objects *) +(* TODO *) + Class ConservativeFunctor `(F:Functor(c1:=C1)(c2:=C2)(fobj:=Fobj)) := { cf_reflect_iso : forall (a b:C1), (F a) ≅ (F b) -> a ≅ b ; cf_reflect_iso1 : forall a b (i:(F a) ≅ (F b)), F \ #(cf_reflect_iso a b i) ~~ #i