Local Notation power := (mscal mult 1).Local Notation expo := (mscal mult 1).

(* Specifications: *)
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)).