X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fformal_topology%2Foverlap%2Fcategories.ma;h=3e750928d229ead63a7df26905c3a14a8b62830e;hb=1654d0ad0d8ba9e03ab403b59fd0893ed8ebd4f6;hp=17c5f498f20df3af32034a893a73493076c89e01;hpb=3e094922bf3fec6975fdbe6feceb509eaafe0563;p=helm.git

diff --git a/helm/software/matita/contribs/formal_topology/overlap/categories.ma b/helm/software/matita/contribs/formal_topology/overlap/categories.ma
index 17c5f498f..3e750928d 100644
--- a/helm/software/matita/contribs/formal_topology/overlap/categories.ma
+++ b/helm/software/matita/contribs/formal_topology/overlap/categories.ma
@@ -14,6 +14,14 @@
 
 include "cprop_connectives.ma".
 
+notation "hvbox(a break = \sub \ID b)" non associative with precedence 45
+for @{ 'eqID $a $b }.
+
+notation > "hvbox(a break =_\ID b)" non associative with precedence 45
+for @{ cic:/matita/logic/equality/eq.ind#xpointer(1/1) ? $a $b }.
+
+interpretation "ID eq" 'eqID x y = (cic:/matita/logic/equality/eq.ind#xpointer(1/1) _ x y).
+
 record equivalence_relation (A:Type0) : Type1 ≝
  { eq_rel:2> A → A → CProp0;
    refl: reflexive ? eq_rel;
@@ -96,19 +104,10 @@ record setoid3: Type4 ≝
  }.
 
 
-interpretation "setoid3 eq" 'eq x y = (eq_rel3 _ (eq3 _) x y).
-interpretation "setoid2 eq" 'eq x y = (eq_rel2 _ (eq2 _) x y).
-interpretation "setoid1 eq" 'eq x y = (eq_rel1 _ (eq1 _) x y).
-interpretation "setoid eq" 'eq x y = (eq_rel _ (eq _) x y).
-
-notation < "hvbox(a break = \sub 1 b)" non associative with precedence 45
-for @{ 'eq1 $a $b }.
-
-notation < "hvbox(a break = \sub 2 b)" non associative with precedence 45
-for @{ 'eq2 $a $b }.
-
-notation < "hvbox(a break = \sub 3 b)" non associative with precedence 45
-for @{ 'eq3 $a $b }.
+interpretation "setoid3 eq" 'eq t x y = (eq_rel3 _ (eq3 t) x y).
+interpretation "setoid2 eq" 'eq t x y = (eq_rel2 _ (eq2 t) x y).
+interpretation "setoid1 eq" 'eq t x y = (eq_rel1 _ (eq1 t) x y).
+interpretation "setoid eq" 'eq t x y = (eq_rel _ (eq t) x y).
 
 notation > "hvbox(a break =_12 b)" non associative with precedence 45
 for @{ eq_rel2 (carr2 (setoid2_of_setoid1 ?)) (eq2 (setoid2_of_setoid1 ?)) $a $b }.
@@ -121,10 +120,6 @@ for @{ eq_rel2 ? (eq2 ?) $a $b }.
 notation > "hvbox(a break =_3 b)" non associative with precedence 45
 for @{ eq_rel3 ? (eq3 ?) $a $b }.
 
-interpretation "setoid3 eq explicit" 'eq3 x y = (eq_rel3 _ (eq3 _) x y).
-interpretation "setoid2 eq explicit" 'eq2 x y = (eq_rel2 _ (eq2 _) x y).
-interpretation "setoid1 eq explicit" 'eq1 x y = (eq_rel1 _ (eq1 _) x y).
-
 interpretation "setoid3 symmetry" 'invert r = (sym3 ____ r).
 interpretation "setoid2 symmetry" 'invert r = (sym2 ____ r).
 interpretation "setoid1 symmetry" 'invert r = (sym1 ____ r).
@@ -467,4 +462,4 @@ coercion objs2_of_category1.
 prefer coercion Type_OF_setoid. (* we prefer the lower carrier projection *)
 prefer coercion Type_OF_objs1.
 
-interpretation "unary morphism1" 'Imply a b = (arrows2 SET1 a b).
\ No newline at end of file
+interpretation "unary morphism1" 'Imply a b = (arrows2 SET1 a b).