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(* About typing of with bindings *)
Record r : Type := mk_r { type : Type; cond : type -> Prop }.
Inductive p : Prop := consp : forall (e : r) (x : type e), cond e x -> p.
Goal p.
Fail apply consp with (fun _ : bool => mk_r unit (fun x => True)) nil.
Abort.
(* A simplification of an example from coquelicot, which was failing
at some time after a fix #4782 was committed. *)
Record T := { dom : Type }.
Definition pairT A B := {| dom := (dom A * dom B)%type |}.
Class C (A:Type).
Parameter B:T.
Instance c (A:T) : C (dom A) := {}.
Instance cn : C (dom B) := {}.
Parameter F : forall A:T, C (dom A) -> forall x:dom A, x=x -> A = A.
Set Typeclasses Debug.
Goal forall (A:T) (x:dom A), pairT A A = pairT A A.
intros.
apply (F _ _) with (x,x).
Abort.
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