(**************************************************************)
(*   Copyright Dominique Larchey-Wendling [*]                 *)
(*                                                            *)
(*                             [*] Affiliation LORIA -- CNRS  *)
(**************************************************************)
(*      This file is distributed under the terms of the       *)
(*         CeCILL v2 FREE SOFTWARE LICENSE AGREEMENT          *)
(**************************************************************)
(** ** Object-level encoding of exponential *)
Set Implicit Arguments.
Local Notation power := (mscal mult 1).
Local Notation expo := (mscal mult 1).

Theorem dio_rel_alpha a b c : 𝔻P a -> 𝔻P b -> 𝔻P c
-> 𝔻R (fun ν => 3 < b ν /\ a ν = alpha_nat (b ν) (c ν)).