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authorGravatar xclerc <xclerc@85f007b7-540e-0410-9357-904b9bb8a0f7>2013-09-20 12:40:28 +0000
committerGravatar xclerc <xclerc@85f007b7-540e-0410-9357-904b9bb8a0f7>2013-09-20 12:40:28 +0000
commite46ce40cee2c34f47acb55d2b24bd09f00987556 (patch)
tree696da31b3041d1b7c69244ab5a48f77b87ccf79b /test-suite/bugs/closed/1931.v
parent20bb249ed0e19cc0132519e3de06fafe2ba500c3 (diff)
Get rid of "shouldsucceed" subdirectory by moving tests to parent directory.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@16797 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'test-suite/bugs/closed/1931.v')
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1 files changed, 29 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/1931.v b/test-suite/bugs/closed/1931.v
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+
+
+Set Implicit Arguments.
+
+Inductive T (A:Set) : Set :=
+ app : T A -> T A -> T A.
+
+Fixpoint map (A B:Set)(f:A->B)(t:T A) : T B :=
+ match t with
+ app t1 t2 => app (map f t1)(map f t2)
+ end.
+
+Fixpoint subst (A B:Set)(f:A -> T B)(t:T A) :T B :=
+ match t with
+ app t1 t2 => app (subst f t1)(subst f t2)
+ end.
+
+(* This is the culprit: *)
+Definition k0:=Set.
+
+(** interaction of subst with map *)
+Lemma substLaw1 (A:k0)(B C:Set)(f: A -> B)(g:B -> T C)(t: T A):
+ subst g (map f t) = subst (fun x => g (f x)) t.
+Proof.
+ intros.
+ generalize B C f g; clear B C f g.
+ induction t; intros; simpl.
+ f_equal.
+Admitted.