From 7cfc4e5146be5666419451bdd516f1f3f264d24a Mon Sep 17 00:00:00 2001 From: Enrico Tassi Date: Sun, 25 Jan 2015 14:42:51 +0100 Subject: Imported Upstream version 8.5~beta1+dfsg --- test-suite/bugs/closed/HoTT_coq_067.v | 28 ++++++++++++++++++++++++++++ 1 file changed, 28 insertions(+) create mode 100644 test-suite/bugs/closed/HoTT_coq_067.v (limited to 'test-suite/bugs/closed/HoTT_coq_067.v') diff --git a/test-suite/bugs/closed/HoTT_coq_067.v b/test-suite/bugs/closed/HoTT_coq_067.v new file mode 100644 index 00000000..ad32a60c --- /dev/null +++ b/test-suite/bugs/closed/HoTT_coq_067.v @@ -0,0 +1,28 @@ +Set Universe Polymorphism. +Inductive paths {A : Type} (a : A) : A -> Type := + idpath : paths a a. + +Goal forall (A : Type) (P : forall _ : A, Type) (x0 : A) + (p : P x0) (q : @paths (@sigT A P) (@existT A P x0 p) (@existT A P x0 p)), + @paths (@paths (@sigT A P) (@existT A P x0 p) (@existT A P x0 p)) + (@idpath (@sigT A P) (@existT A P x0 p)) + (@idpath (@sigT A P) (@existT A P x0 p)). + intros. + induction q. + admit. +Qed. +(** Error: Illegal application: +The term "paths_rect" of type + "forall (A : Type) (a : A) (P : forall a0 : A, paths a a0 -> Type), + P a (idpath a) -> forall (y : A) (p : paths a y), P y p" +cannot be applied to the terms + "{x : _ & P x}" : "Type" + "s" : "{x : _ & P x}" + "fun (a : {x : _ & P x}) (_ : paths s a) => paths (idpath a) (idpath a)" + : "forall a : {x : _ & P x}, paths s a -> Type" + "match proof_admitted return (paths (idpath s) (idpath s)) with + end" : "paths (idpath s) (idpath s)" + "s" : "{x : _ & P x}" + "q" : "paths (existT P x0 p) (existT P x0 p)" +The 3rd term has type "forall a : {x : _ & P x}, paths s a -> Type" +which should be coercible to "forall a : {x : _ & P x}, paths s a -> Type". *) -- cgit v1.2.3