Fixing #3895 (thanks to PMP for diagnosis).

1 files changed, 22 insertions, 0 deletions

diff --git a/test-suite/bugs/closed/3895.v b/test-suite/bugs/closed/3895.v
new file mode 100644
index 000000000..8659ca2cb
--- /dev/null
+++ b/test-suite/bugs/closed/3895.v
@@ -0,0 +1,22 @@
+Notation pr1 := (@projT1 _ _).
+Notation compose := (fun g' f' x => g' (f' x)).
+Notation "g 'o' f" := (compose g f) (at level 40, left associativity) :
+function_scope.
+Open Scope function_scope.
+Definition ap {A B:Type} (f:A -> B) {x y:A} (p:x = y) : f x = f y := match p
+with eq_refl => eq_refl end.
+Definition pointwise_paths {A} {P:A->Type} (f g:forall x:A, P x) := forall x:A,
+f x = g x.
+Notation "f == g" := (pointwise_paths f g) (at level 70, no associativity) :
+type_scope.
+Theorem Univalence_implies_FunextNondep (A B : Type)
+: forall f g : A -> B, f == g -> f = g.
+Proof.
+  intros f g p.
+  pose (d := fun x : A => existT (fun xy => fst xy = snd xy) (f x, f x)
+(eq_refl (f x))).
+  pose (e := fun x : A => existT (fun xy => fst xy = snd xy) (f x, g x) (p x)).
+  change f with ((snd o pr1) o d).
+  change g with ((snd o pr1) o e).
+  apply (ap (fun g => snd o pr1 o g)).
+(* Used to raise a not Found due to a "typo" in solve_evar_evar *)