(* Submitted by Randy Pollack *)

Record pred (S : Set) : Type :=  {sp_pred :> S -> Prop}.
Record rel (S : Set) : Type :=  {sr_rel :> S -> S -> Prop}.

Section testSection.
Variables (S : Set) (P : pred S) (R : rel S) (x : S).
Check (P x).
Check (R x x).
End testSection.

(* Check the removal of coercions with target Funclass *)

Record foo : Type :=  {D :> nat -> nat}.
Check (fun (x : foo) (n : nat) => x n).

(* Check both removal of coercions with target Funclass and mixing
   string and numeral scopes *)

Require Import String.
Open Scope string_scope.
Inductive PAIR := P (s:string) (n:nat).
Coercion P : string >-> Funclass.
Check ("1" 0).