Section ForallNorm.
Variable T : Type.
Variable P : T -> Prop.
(* use: rewrite ? Forall_norm *)
Definition Forall_norm := (@Forall_appP, @Forall_singletonP, @Forall_consP, @Forall_nilP).
End ForallNorm.
(* nth_error facts *)

Lemma nth_repeat {X: Type} {x: X} {n m: nat}: nth n (repeat x m) x = x.