(**************************************************************************)
-(* ___ *)
+(* ___ *)
(* ||M|| *)
(* ||A|| A project by Andrea Asperti *)
(* ||T|| *)
inductive eq (A:Type) (x:A) : A \to Prop \def
refl_eq : eq A x x.
-(*CSC: the URI must disappear: there is a bug now *)
-interpretation "leibnitz's equality"
- 'eq t x y = (cic:/matita/logic/equality/eq.ind#xpointer(1/1) t x y).
-(*CSC: the URI must disappear: there is a bug now *)
-interpretation "leibnitz's non-equality"
- 'neq t x y = (cic:/matita/logic/connectives/Not.con
- (cic:/matita/logic/equality/eq.ind#xpointer(1/1) t x y)).
+interpretation "leibnitz's equality" 'eq t x y = (eq t x y).
+
+interpretation "leibnitz's non-equality" 'neq t x y = (Not (eq t x y)).
theorem eq_rect':
\forall A. \forall x:A. \forall P: \forall y:A. x=y \to Type.