(**************************************************************************)
include "logic/pts.ma".
-ndefinition hint_declaration_Type0 ≝ λA:Type[0] .λa,b:A.a.
-ndefinition hint_declaration_Type1 ≝ λA:Type[1].λa,b:A.a.
-ndefinition hint_declaration_Type2 ≝ λa,b:Type[1].a.
-ndefinition hint_declaration_CProp0 ≝ λA:CProp[0].λa,b:A.a.
-ndefinition hint_declaration_CProp1 ≝ λA:CProp[1].λa,b:A.a.
-ndefinition hint_declaration_CProp2 ≝ λa,b:CProp[1].a.
+ndefinition hint_declaration_Type0 ≝ λA:Type[0] .λa,b:A.Prop.
+ndefinition hint_declaration_Type1 ≝ λA:Type[1].λa,b:A.Prop.
+ndefinition hint_declaration_Type2 ≝ λa,b:Type[1].Prop.
+ndefinition hint_declaration_CProp0 ≝ λA:CProp[0].λa,b:A.Prop.
+ndefinition hint_declaration_CProp1 ≝ λA:CProp[1].λa,b:A.Prop.
+ndefinition hint_declaration_CProp2 ≝ λa,b:CProp[1].Prop.
-notation > "≔ (list0 (ident x : T )sep ,) ⊢ term 19 Px ≡ term 19 Py"
+notation > "≔ (list0 (ident x : T ) sep ,) ⊢ term 19 Px ≡ term 19 Py"
with precedence 90
- for @{ ${ fold right @{'hint_decl $Px $Py} rec acc @{ ∀${ident x}:$T.$acc } } }.
+ for @{ ${ fold right @{'hint_decl $Px $Py} rec acc @{ ∀${ident x}:$T.$acc } } }.
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).