Elim generalized to saturate its argument.

[helm.git] / helm / matita / tests / rewrite.ma

diff --git a/helm/matita/tests/rewrite.ma b/helm/matita/tests/rewrite.ma
index 67da01e89c1cab029a85b18392fed4fdcfdb30cd..aa4fa1f3285ad09f7cb64ce287cda697680b3881 100644 (file)
--- a/helm/matita/tests/rewrite.ma
+++ b/helm/matita/tests/rewrite.ma
@@ -1,23 +1,34 @@
-set "baseuri" "cic:/matita/tests/".
+set "baseuri" "cic:/matita/tests/rewrite/".
 
 alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
 alias num (instance 0) = "natural number".
 alias symbol "eq" (instance 0) = "leibnitz's equality". 
 alias symbol "plus" (instance 0) = "natural plus".
-
+alias id "plus_n_O" = "cic:/Coq/Init/Peano/plus_n_O.con".
 
 theorem a:
   \forall a,b:nat.
   a = b \to b + a + b + a= (\lambda j.((\lambda w.((\lambda x.x + b + w + j) a)) b)) a.
 intros.
-rewrite right H in \vdash (? ? ? ((\lambda j.((\lambda w.%) ?)) ?)).
+rewrite < H in \vdash (? ? ? ((\lambda j.((\lambda w.%) ?)) ?)).
 
-rewrite right H in \vdash (? ? % ?).
+rewrite < H in \vdash (? ? % ?).
 
-simplify in \vdash (? ? ? ((\lambda x.((\lambda y.%) ?)) ?)).
+simplify in \vdash (? ? ? ((\lambda _.((\lambda _.%) ?)) ?)).
 
-rewrite right H in \vdash (? ? ? (% ?)).
+rewrite < H in \vdash (? ? ? (% ?)).
 simplify.
 reflexivity.
 qed.
  
+theorem t: \forall n. 0=0 \to n = n + 0.
+ intros.
+ apply plus_n_O.
+qed.
+
+(* In this test "rewrite < t" should open a new goal 0=0 and put it in *)
+(* the goallist so that the THEN tactical closes it using reflexivity. *)
+theorem foo: \forall n. n = n + 0.
+ intros.
+ rewrite < t; reflexivity.
+qed.
\ No newline at end of file