X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fnlibrary%2Fsets%2Fsetoids.ma;h=e40dad6f6d20e4e3a1f7624b6f28b5d6056a6ef3;hb=eca7393f8b871fd1d7838cfd5a176a80f4ec48c5;hp=376edc0ceb8fdfdbda4399c046a49bb50ff57eb5;hpb=90ff94e74ceed0954b8599bff55d5c84f15c1b9f;p=helm.git

diff --git a/helm/software/matita/nlibrary/sets/setoids.ma b/helm/software/matita/nlibrary/sets/setoids.ma
index 376edc0ce..e40dad6f6 100644
--- a/helm/software/matita/nlibrary/sets/setoids.ma
+++ b/helm/software/matita/nlibrary/sets/setoids.ma
@@ -32,6 +32,10 @@ notation < "[\setoid\ensp\of term 19 x]" non associative with precedence 90 fo
 interpretation "mk_setoid" 'mk_setoid x = (mk_setoid x ?).
 
 interpretation "setoid eq" 'eq t x y = (eq_rel ? (eq0 t) x y).
+(* single = is for the abstract equality of setoids, == is for concrete 
+   equalities (that may be lifted to the setoid level when needed *)
+notation < "hvbox(a break mpadded width -50% (=)= b)" non associative with precedence 45 for @{ 'eq_low $a $b }.
+notation > "a == b" non associative with precedence 45 for @{ 'eq_low $a $b }.
 
 notation > "hvbox(a break =_0 b)" non associative with precedence 45
 for @{ eq_rel ? (eq0 ?) $a $b }.
@@ -99,10 +103,11 @@ ndefinition comp_unary_morphisms:
 nqed.
 
 unification hint 0 ≔ o1,o2,o3:setoid,f:o2 ⇒_0 o3,g:o1 ⇒_0 o2;
-   R ≟ mk_unary_morphism ?? (composition ??? f g)
-        (prop1 ?? (comp_unary_morphisms o1 o2 o3 f g))
+   R ≟ mk_unary_morphism o1 o3 
+        (composition ??? (fun1 o2 o3 f) (fun1 o1 o2 g))
+        (prop1 o1 o3 (comp_unary_morphisms o1 o2 o3 f g))
  (* -------------------------------------------------------------------- *) ⊢
-                              fun1 ?? R ≡ (composition ??? f g).
+    fun1 o1 o3 R ≡ composition ??? (fun1 o2 o3 f) (fun1 o1 o2 g).
 
 ndefinition comp_binary_morphisms: 
   ∀o1,o2,o3.(o2 ⇒_0 o3) ⇒_0 ((o1 ⇒_0 o2) ⇒_0 (o1 ⇒_0 o3)).