From 7cfc4e5146be5666419451bdd516f1f3f264d24a Mon Sep 17 00:00:00 2001
From: Enrico Tassi <gareuselesinge@debian.org>
Date: Sun, 25 Jan 2015 14:42:51 +0100
Subject: Imported Upstream version 8.5~beta1+dfsg

---
 test-suite/bugs/closed/HoTT_coq_077.v | 39 +++++++++++++++++++++++++++++++++++
 1 file changed, 39 insertions(+)
 create mode 100644 test-suite/bugs/closed/HoTT_coq_077.v

(limited to 'test-suite/bugs/closed/HoTT_coq_077.v')

diff --git a/test-suite/bugs/closed/HoTT_coq_077.v b/test-suite/bugs/closed/HoTT_coq_077.v
new file mode 100644
index 00000000..db3b60ed
--- /dev/null
+++ b/test-suite/bugs/closed/HoTT_coq_077.v
@@ -0,0 +1,39 @@
+Set Implicit Arguments.
+
+Require Import Logic.
+
+Set Asymmetric Patterns.
+Set Record Elimination Schemes.
+Set Primitive Projections.
+
+Record prod (A B : Type) : Type :=
+  pair { fst : A; snd : B }.
+
+Print prod_rect.
+(** prod_rect =
+fun (A B : Type) (P : prod A B -> Type)
+  (f : forall (fst : A) (snd : B), P {| fst := fst; snd := snd |})
+  (p : prod A B) =>
+match p as p0 return (P p0) with
+| {| fst := x; snd := x0 |} => f x x0
+end
+     : forall (A B : Type) (P : prod A B -> Type),
+       (forall (fst : A) (snd : B), P {| fst := fst; snd := snd |}) ->
+       forall p : prod A B, P p
+
+Arguments A, B are implicit
+Argument scopes are [type_scope type_scope _ _ _]
+ *)
+
+(* What I really want: *)
+Definition prod_rect' A B (P : prod A B -> Type) (u : forall (fst : A) (snd : B), P (pair fst snd))
+           (p : prod A B) : P p
+  := u (fst p) (snd p).
+
+Notation typeof x := ($(let T := type of x in exact T)$) (only parsing).
+
+(* Check for eta *)
+Check eq_refl : typeof (@prod_rect) = typeof (@prod_rect').
+
+(* Check for the recursion principle I want *)
+Check eq_refl : @prod_rect = @prod_rect'.
-- 
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