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authorGravatar Enrico Tassi <gareuselesinge@debian.org>2015-01-25 14:42:51 +0100
committerGravatar Enrico Tassi <gareuselesinge@debian.org>2015-01-25 14:42:51 +0100
commit7cfc4e5146be5666419451bdd516f1f3f264d24a (patch)
treee4197645da03dc3c7cc84e434cc31d0a0cca7056 /test-suite/bugs/closed/HoTT_coq_068.v
parent420f78b2caeaaddc6fe484565b2d0e49c66888e5 (diff)
Imported Upstream version 8.5~beta1+dfsg
Diffstat (limited to 'test-suite/bugs/closed/HoTT_coq_068.v')
-rw-r--r--test-suite/bugs/closed/HoTT_coq_068.v61
1 files changed, 61 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/HoTT_coq_068.v b/test-suite/bugs/closed/HoTT_coq_068.v
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--- /dev/null
+++ b/test-suite/bugs/closed/HoTT_coq_068.v
@@ -0,0 +1,61 @@
+Generalizable All Variables.
+
+Inductive paths {A : Type} (a : A) : A -> Type :=
+ idpath : paths a a.
+
+Notation "x = y :> A" := (@paths A x y) : type_scope.
+Notation "x = y" := (x = y :>_) : type_scope.
+
+Module success.
+ Axiom bar : nat -> Type -> Type.
+
+ Definition foo (n : nat) (A : Type) : Type :=
+ match n with
+ | O => A
+ | S n' => forall x y : A, bar n' (x = y)
+ end.
+
+ Definition foo_succ n A : foo (S n) A.
+ Admitted.
+
+ Goal forall n (X Y : Type) (y : X) (x : X), bar n (x = y).
+ intros.
+ apply (foo_succ _ _).
+ Defined.
+End success.
+
+Module failure.
+ Fixpoint bar (n : nat) (A : Type) : Type :=
+ match n with
+ | O => A
+ | S n' => forall x y : A, bar n' (x = y)
+ end.
+
+ Definition foo_succ n A : bar (S n) A.
+ Admitted.
+
+ Goal forall n (X Y : Type) (y : X) (x : X), bar n (x = y).
+ intros.
+ apply foo_succ.
+ (* Toplevel input, characters 22-34:
+Error: In environment
+n : nat
+X : Type
+Y : Type
+y : X
+x : X
+Unable to unify
+ "forall x0 y0 : ?16,
+ (fix bar (n : nat) (A : Type) {struct n} : Type :=
+ match n with
+ | 0 => A
+ | S n' => forall x y : A, bar n' (x = y)
+ end) ?15 (x0 = y0)" with
+ "(fix bar (n : nat) (A : Type) {struct n} : Type :=
+ match n with
+ | 0 => A
+ | S n' => forall x y : A, bar n' (x = y)
+ end) n (x = y)".
+*)
+ Defined.
+End failure.