updating the structures for sorts

[helm.git] / matita / matita / lib / hints_declaration.ma

diff --git a/matita/matita/lib/hints_declaration.ma b/matita/matita/lib/hints_declaration.ma
index bcbfed4f3a47d5f01e47296c437b28cc48273f61..7dd0800d75b49b36cd151da0adbfa54d8bcc2ac8 100644 (file)
--- a/matita/matita/lib/hints_declaration.ma
+++ b/matita/matita/lib/hints_declaration.ma
@@ -56,6 +56,23 @@ notation > "≔ (list0 ( (list1 (ident x) sep , ) opt (: T) ) sep ,) opt (; (lis
                }
        }}.
 
+(* it seems unbelivable, but it works! *)
+notation > "≔ (list0 ( (list1 (ident x) sep , ) opt (: T) ) sep ,) opt (; (list1 (ident U ≟ term 19 V ) sep ,)) ⊢ term 19 Px ≡≡ term 19 Py"
+  with precedence 90
+  for @{ ${ fold right 
+               @{ ${ default 
+                    @{ ${ fold right 
+                        @{ 'hint_decl2 $Px $Py } 
+                        rec acc1 @{ let ( ${ident U} : ?) ≝ $V in $acc1} } }
+                    @{ 'hint_decl2 $Px $Py } 
+                 }
+               } 
+               rec acc @{ 
+                 ${ fold right @{ $acc } rec acc2 
+                      @{ ∀${ident x}:${ default @{ $T } @{ ? } }.$acc2 } } 
+               }
+       }}.
+
 include "basics/pts.ma".
 
 definition hint_declaration_Type0  ≝  λA:Type[0] .λa,b:A.Prop.
@@ -65,29 +82,30 @@ definition hint_declaration_CProp0 ≝  λA:CProp[0].λa,b:A.Prop.
 definition hint_declaration_CProp1 ≝  λA:CProp[1].λa,b:A.Prop.
 definition hint_declaration_CProp2 ≝  λa,b:CProp[2].Prop.
   
-interpretation "hint_decl_Type2"  'hint_decl a b = (hint_declaration_Type2 a b).
-interpretation "hint_decl_CProp2" 'hint_decl a b = (hint_declaration_CProp2 a b).
+interpretation "hint_decl_Type2"  'hint_decl2 a b = (hint_declaration_Type2 a b).
+interpretation "hint_decl_CProp2" 'hint_decl2 a b = (hint_declaration_CProp2 a b).
 interpretation "hint_decl_Type1"  'hint_decl a b = (hint_declaration_Type1 ? a b).
 interpretation "hint_decl_CProp1" 'hint_decl a b = (hint_declaration_CProp1 ? a b).
 interpretation "hint_decl_CProp0" 'hint_decl a b = (hint_declaration_CProp0 ? a b).
 interpretation "hint_decl_Type0"  'hint_decl a b = (hint_declaration_Type0 ? a b).
 
-(* Non uniform coercions support 
-record lock2 (S : Type[2]) (s : S) : Type[3] ≝ {
-  force2 : Type[2];
-  lift2  : force2
+(* Non uniform coercions support
+record solution2 (S : Type[2]) (s : S) : Type[3] ≝ {
+  target2 : Type[2];
+  result2  : target2
 }.
 
-record lock1 (S : Type[1]) (s : S) : Type[2] ≝ {
-  force1 : Type[1];
-  lift1  : force1
+record solution1 (S : Type[1]) (s : S) : Type[2] ≝ {
+  target1 : Type[1];
+  result1  : target1
 }.
 
-coercion zzzlift1 : ∀S:Type[1].∀s:S.∀l:lock1 S s. force1 S s l ≝ lift1 
- on s : ? to force1 ???.
+coercion nonunifcoerc1 : ∀S:Type[1].∀s:S.∀l:solution1 S s. target1 S s l ≝ result1 
+ on s : ? to target1 ???.
 
-coercion zzzlift2 : ∀S:Type[2].∀s:S.∀l:lock2 S s. force2 S s l ≝ lift2
- on s : ? to force2 ???.
+coercion nonunifcoerc2 : ∀S:Type[2].∀s:S.∀l:solution2 S s. target2 S s l ≝ result2
+ on s : ? to target2 ???.
+*)
 
 (* Example of a non uniform coercion declaration 
    
@@ -99,9 +117,8 @@ coercion zzzlift2 : ∀S:Type[2].∀s:S.∀l:lock2 S s. force2 S s l ≝ lift2
 
 unification hint 0 ≔ R : setoid;
    MR ≟ carr R, 
-   lock ≟ mk_lock1 Type[0] MR setoid R 
+   sol ≟ mk_solution1 Type[0] MR setoid R 
 (* ---------------------------------------- *) ⊢ 
-   setoid ≡ force1 ? MR lock.
+   setoid ≡ target1 ? MR sol.
 
 *)
-*)
\ No newline at end of file