From dbdf0648f4588d812a20ea4ba7d3e866f024073c Mon Sep 17 00:00:00 2001
From: Maxime Dénès <mail@maximedenes.fr>
Date: Fri, 27 Feb 2015 14:01:41 +0100
Subject: Add test-suite file for #3649.

---
 test-suite/bugs/closed/3649.v | 57 +++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 57 insertions(+)
 create mode 100644 test-suite/bugs/closed/3649.v

(limited to 'test-suite/bugs/closed/3649.v')

diff --git a/test-suite/bugs/closed/3649.v b/test-suite/bugs/closed/3649.v
new file mode 100644
index 000000000..06188e7b1
--- /dev/null
+++ b/test-suite/bugs/closed/3649.v
@@ -0,0 +1,57 @@
+(* -*- coq-prog-args: ("-emacs" "-nois") -*- *)
+(* File reduced by coq-bug-finder from original input, then from 9518 lines to 404 lines, then from 410 lines to 208 lines, then from 162 lines to 77 lines *)
+(* coqc version trunk (September 2014) compiled on Sep 18 2014 21:0:5 with OCaml 4.01.0
+   coqtop version cagnode16:/afs/csail.mit.edu/u/j/jgross/coq-trunk,trunk (07e4438bd758c2ced8caf09a6961ccd77d84e42b) *)
+Reserved Notation "x -> y" (at level 99, right associativity, y at level 200).
+Reserved Notation "x = y" (at level 70, no associativity).
+Open Scope type_scope.
+Axiom admit : forall {T}, T.
+Notation "A -> B" := (forall (_ : A), B) : type_scope.
+Reserved Infix "o" (at level 40, left associativity).
+Inductive paths {A : Type} (a : A) : A -> Type := idpath : paths a a where "x = y" := (@paths _ x y) : type_scope.
+Ltac constr_eq a b := let test := constr:(@idpath _ _ : a = b) in idtac.
+Global Set Primitive Projections.
+Delimit Scope morphism_scope with morphism.
+Record PreCategory :=
+  { object :> Type;
+    morphism : object -> object -> Type;
+
+    identity : forall x, morphism x x;
+    compose : forall s d d',
+                morphism d d'
+                -> morphism s d
+                -> morphism s d'
+    where "f 'o' g" := (compose f g) }.
+Infix "o" := (@compose _ _ _ _) : morphism_scope.
+Set Implicit Arguments.
+Local Open Scope morphism_scope.
+Record Functor (C D : PreCategory) :=
+  { object_of :> C -> D;
+    morphism_of : forall s d, morphism C s d
+                              -> morphism D (object_of s) (object_of d) }.
+Class IsIsomorphism {C : PreCategory} {s d} (m : morphism C s d) :=
+  { morphism_inverse : morphism C d s }.
+Record NaturalTransformation C D (F G : Functor C D) := { components_of :> forall c, morphism D (F c) (G c) }.
+Definition composeT C D (F F' F'' : Functor C D) (T' : NaturalTransformation F' F'') (T : NaturalTransformation F F')
+: NaturalTransformation F F''.
+  exact admit.
+Defined.
+Definition functor_category (C D : PreCategory) : PreCategory.
+  exact (@Build_PreCategory (Functor C D)
+                            (@NaturalTransformation C D)
+                            admit
+                            (@composeT C D)).
+Defined.
+Goal forall (C D : PreCategory) (G G' : Functor C D)
+            (T : @NaturalTransformation C D G G')
+            (H : @IsIsomorphism (@functor_category C D) G G' T)
+            (x : C),
+       @paths (morphism D (G x) (G x))
+              (@compose D (G x) (G' x) (G x)
+                        ((@morphism_inverse (@functor_category C D) G G' T H) x)
+                        (T x)) (@identity D (G x)).
+  intros.
+  (** This [change] succeeded, but did not progress, in 07e4438bd758c2ced8caf09a6961ccd77d84e42b, because [T0 x o T1 x] was not found in the goal *)
+  let T0 := match goal with |- context[components_of ?T0 ?x o components_of ?T1 ?x] => constr:(T0) end in
+  let T1 := match goal with |- context[components_of ?T0 ?x o components_of ?T1 ?x] => constr:(T1) end in
+  progress change (T0 x o T1 x) with ((fun y => y) (T0 x o T1 x)).
\ No newline at end of file
-- 
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