fact: Definition empty_enum {A} : E (option A) := MkEnum (fun _ => LazyList.lnil).
imports: String micromega.Lia List Tactics TacticsUtil Instances Classes DependentClasses Sets Producer Enumerators Checker Decidability CheckerProofs Ltac2(Ltac2) mathcomp(ssreflect ssrfun ssrbool ssrnat eqtype seq)