Section Facts.
(* usage: rewrite ? Forall_norm *)
Definition Forall_norm := (@Forall_app_iff, @Forall_singleton_iff, @Forall_cons_iff, @Forall_nil_iff).

(* repeat facts *)
Lemma repeat_add {X : Type} {x : X} {m n} : repeat x (m + n) = repeat x m ++ repeat x n.