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

diff --git a/helm/matita/tests/inversion.ma b/helm/matita/tests/inversion.ma
index 9c56069b234bc1aa063c2c04b560bf45aecde005..8f57534be4d0ffa0159bc86fea7f7abddd2ecaa7 100644 (file)
--- a/helm/matita/tests/inversion.ma
+++ b/helm/matita/tests/inversion.ma
@@ -1,5 +1,3 @@
-set "baseuri" "cic:/matita/tests/".
-
 inductive nat : Set \def
    O : nat
  | S : nat \to nat.
@@ -12,24 +10,37 @@ alias symbol "eq" (instance 0) = "leibnitz's equality".
 
 theorem test_inversion: \forall n. le n O \to n=O.
  intros.
+ (* inversion begins *)
  cut O=O.
   (* goal 2: 0 = 0 *)
   goal 7. reflexivity.
   (* goal 1 *)
-  generalize Hcut.      (* non attaccata. Dovrebbe dare 0=0 -> n=0 *)
+  generalize Hcut.
   apply (le_ind ? (\lambda x. O=x \to n=x) ? ? ? H).
-  intro. reflexivity.
+  (* first goal (left open) *)
+  intro. rewrite right H1.
+  clear Hcut.
+  (* second goal (closed) *)
+  goal 14.
   simplify. intros.
   discriminate H3.
+  (* inversion ends *)
+  reflexivity.
 qed.
 
 (* Piu' semplice e non lascia l'ipotesi inutile Hcut *)
 alias id "refl_equal" = "cic:/Coq/Init/Logic/eq.ind#xpointer(1/1/1)".
 theorem test_inversion2: \forall n. le n O \to n=O.
  intros.
+ (* inversion begins *)
  generalize (refl_equal nat O).
  apply (le_ind ? (\lambda x. O=x \to n=x) ? ? ? H).
- intro. reflexivity.
+ (* first goal (left open) *)
+ intro. rewrite right H1.
+ (* second goal (closed) *)
+ goal 13.
  simplify. intros.
  discriminate H3.
+ (* inversion ends *)
+ reflexivity.
 qed.