claudio, please have a look at this

[helm.git] / helm / software / matita / tests / multiple_inheritance.ma

diff --git a/helm/software/matita/tests/multiple_inheritance.ma b/helm/software/matita/tests/multiple_inheritance.ma
index 614f57ca9b219d37a64c80b31aed1ff5d8b6456d..1aa708fb1264bc1be037d2e3f5c8241f44e90b71 100644 (file)
--- a/helm/software/matita/tests/multiple_inheritance.ma
+++ b/helm/software/matita/tests/multiple_inheritance.ma
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-set "baseuri" "cic:/matita/test/".
+
 
 include "logic/equality.ma".
 
@@ -28,18 +28,19 @@ record R : Type := { r1 :> R1; r2_ : R2; with_: C r1 = K r2_ }.
 lemma r2 : R → R2.
  intro;
  apply mk_R2;
- [ apply (C r)
- | apply (eq_rect ? ? (λx.x → x → x));
-   [3: symmetry;
-       [2: apply (with_ r)
-       | skip
-       ]
-   | skip
-   | apply (mult (r2_ r))
-   ]
- ].
+ [ exact (C r)
+ | rewrite > (with_ r); exact (mult (r2_ r))]
+qed.
+coercion cic:/matita/tests/multiple_inheritance/r2.con.
+
+(* convertibility test *)
+lemma conv_test : ∀r:R.C r -> K r.
+  intros.
+  change with (C (r1 r)).
+  change with (K (r2 r)).
+  change with (C (r1 r)).
+  assumption.
 qed.
-coercion cic:/matita/test/r2.con.
 
 (* Let's play with it *)
 definition f ≝ λr:R.λx:r.plus ? (mult ? x x) x.
@@ -50,5 +51,8 @@ axiom mult_idempotent: ∀r2:R2.∀x:r2. mult ? x x = x.
 lemma test: ∀r:R. ∀x:r. f ? x = x.
  intros;
  unfold f;
- auto paramodulation.
-qed.
\ No newline at end of file
+ autobatch paramodulation.
+qed.
+
+
+