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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/1963.v
parent420f78b2caeaaddc6fe484565b2d0e49c66888e5 (diff)
Imported Upstream version 8.5~beta1+dfsg
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diff --git a/test-suite/bugs/closed/1963.v b/test-suite/bugs/closed/1963.v
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+(* Check that "dependent inversion" behaves correctly w.r.t to universes *)
+
+Require Import Eqdep.
+
+Set Implicit Arguments.
+
+Inductive illist(A:Type) : nat -> Type :=
+ illistn : illist A 0
+| illistc : forall n:nat, A -> illist A n -> illist A (S n).
+
+Inductive isig (A:Type)(P:A -> Type) : Type :=
+ iexists : forall x : A, P x -> isig P.
+
+Lemma inv : forall (A:Type)(n n':nat)(ts':illist A n'), n' = S n ->
+ isig (fun t => isig (fun ts =>
+ eq_dep nat (fun n => illist A n) n' ts' (S n) (illistc t ts))).
+Proof.
+intros.
+dependent inversion ts'.