-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.