Reorganization of list library (step 1)

[helm.git] / helm / software / matita / library / logic / equality.ma

diff --git a/helm/software/matita/library/logic/equality.ma b/helm/software/matita/library/logic/equality.ma
index 1f68503df37cdb4cb6d31003da083a42fb51052b..01c60e8fc9b17c40c720b235be2bcac605e2a8e9 100644 (file)
--- a/helm/software/matita/library/logic/equality.ma
+++ b/helm/software/matita/library/logic/equality.ma
@@ -60,6 +60,18 @@ theorem eq_elim_r:
 intros. elim (sym_eq ? ? ? H1).assumption.
 qed.
 
+theorem eq_elim_r':
+ \forall A:Type.\forall x:A. \forall P: A \to Set.
+   P x \to \forall y:A. y=x \to P y.
+intros. elim (sym_eq ? ? ? H).assumption.
+qed.
+
+theorem eq_elim_r'':
+ \forall A:Type.\forall x:A. \forall P: A \to Type.
+   P x \to \forall y:A. y=x \to P y.
+intros. elim (sym_eq ? ? ? H).assumption.
+qed.
+
 theorem eq_f: \forall  A,B:Type.\forall f:A\to B.
 \forall x,y:A. x=y \to f x = f y.
 intros.elim H.apply refl_eq.
@@ -70,19 +82,28 @@ theorem eq_f': \forall  A,B:Type.\forall f:A\to B.
 intros.elim H.apply refl_eq.
 qed.
 
-(* 
+(*  *)
 coercion cic:/matita/logic/equality/sym_eq.con.
 coercion cic:/matita/logic/equality/eq_f.con.
-*)
+(* *)
 
 default "equality"
  cic:/matita/logic/equality/eq.ind
- cic:/matita/logic/equality/symmetric_eq.con
+ cic:/matita/logic/equality/sym_eq.con
  cic:/matita/logic/equality/transitive_eq.con
  cic:/matita/logic/equality/eq_ind.con
  cic:/matita/logic/equality/eq_elim_r.con
+ cic:/matita/logic/equality/eq_rec.con
+ cic:/matita/logic/equality/eq_elim_r'.con
+ cic:/matita/logic/equality/eq_rect.con
+ cic:/matita/logic/equality/eq_elim_r''.con
  cic:/matita/logic/equality/eq_f.con
+(* *)
+ cic:/matita/logic/equality/eq_OF_eq.con.
+(* *)
+(*  
  cic:/matita/logic/equality/eq_f'.con. (* \x.sym (eq_f x) *)
+ *)
  
 theorem eq_f2: \forall  A,B,C:Type.\forall f:A\to B \to C.
 \forall x1,x2:A. \forall y1,y2:B.