(* -*- mode: coq; coq-prog-args: ("-top" "atomic" "-Q" "." "iris" "-R" "." "stdpp") -*- *)
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(* coqc version 8.8.0 (May 2018) compiled on May 2 2018 16:49:46 with OCaml 4.02.3 coqtop version 8.8.0 (May 2018) *)
(* This was triggering a "Not_found" at the time of printing/showing the goal *)
Require Coq.Unicode.Utf8.
Notation "t $ r" := (t r)
(at level 65, right associativity, only parsing).
Inductive tele : Type :=
| TeleO : tele
| TeleS {X} (binder : X -> tele) : tele.
Fixpoint tele_fun (TT : tele) (T : Type) : Type :=
match TT with
| TeleO => T
| TeleS b => forall x, tele_fun (b x) T
end.
Inductive tele_arg : tele -> Type :=
| TargO : tele_arg TeleO
| TargS {X} {binder} (x : X) : tele_arg (binder x) -> tele_arg (TeleS binder).

Axiom tele_app : forall {TT : tele} {T} (f : tele_fun TT T), tele_arg TT -> T.