fixed precedence so that no () are needed around variable assignement

[helm.git] / helm / software / matita / nlibrary / sets / categories.ma

diff --git a/helm/software/matita/nlibrary/sets/categories.ma b/helm/software/matita/nlibrary/sets/categories.ma
index 310aa709e2e0f1fe8ec1e325542bc23d3873e4c8..38c8129fa28d3d7dc0a55a5d51a588102f284d66 100644 (file)
--- a/helm/software/matita/nlibrary/sets/categories.ma
+++ b/helm/software/matita/nlibrary/sets/categories.ma
@@ -1,3 +1,17 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
 
 include "sets/sets.ma".
 
@@ -5,7 +19,7 @@ nrecord category : Type[2] ≝
  { objs:> Type[1];
    arrows: objs → objs → setoid;
    id: ∀o:objs. arrows o o;
-   comp: ∀o1,o2,o3. binary_morphism (arrows o2 o3) (arrows o1 o2) (arrows o1 o3);
+   comp: ∀o1,o2,o3. unary_morphism (arrows o2 o3) (unary_morph_setoid (arrows o1 o2) (arrows o1 o3));
    comp_assoc: ∀o1,o2,o3,o4. ∀a34,a23,a12.
     comp o1 o3 o4 a34 (comp o1 o2 o3 a23 a12) = comp o1 o2 o4 (comp o2 o3 o4 a34 a23) a12;
    id_neutral_left: ∀o1,o2. ∀a: arrows o1 o2. comp ??? (id o2) a = a;
@@ -27,8 +41,8 @@ ndefinition SETOID : category.
 ##| napply unary_morph_setoid;
 ##| #o; @ (λx.x); #a; #b; #H; napply H;
 ##| napply comp_binary_morphisms; (*CSC: why not ∘?*)
-##| #o1; #o2; #o3; #o4; #f; #g; #h; nwhd; #x; napply #;
-##|##6,7: #o1; #o2; #f; nwhd; #x; napply #; ##]
+##| #o1; #o2; #o3; #o4; #f; #g; #h; #x; #x'; #Hx; nnormalize; napply (†(†(†Hx)))
+##|##6,7: #o1; #o2; #f; #x; #x'; #Hx; nnormalize; napply (†Hx) ]
 nqed.
 
 unification hint 0 ≔ ;