From: Enrico Tassi <enrico.tassi@inria.fr>
Date: Mon, 9 Jul 2007 13:32:17 +0000 (+0000)
Subject: added few more fun to this test
X-Git-Tag: 0.4.95@7852~360
X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=commitdiff_plain;h=443591a0a17e6a493bdd59b1103960063c0e560b;p=helm.git

added few more fun to this test
---

diff --git a/matita/tests/multiple_inheritance.ma b/matita/tests/multiple_inheritance.ma
index 413c42d44..df15e704f 100644
--- a/matita/tests/multiple_inheritance.ma
+++ b/matita/tests/multiple_inheritance.ma
@@ -28,19 +28,20 @@ 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/test/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.
+
 (* Let's play with it *)
 definition f ≝ λr:R.λx:r.plus ? (mult ? x x) x.
 
@@ -51,4 +52,7 @@ lemma test: ∀r:R. ∀x:r. f ? x = x.
  intros;
  unfold f;
  autobatch paramodulation.
-qed.
\ No newline at end of file
+qed.
+
+
+