Module Argument.
Notation "t ⊍ u" := (mset_term_plus t u) (at level 40).
Notation "'h' t" := (mset_term_h t) (at level 38).
Notation "•0" := mset_term_zero.
Coercion mset_term_var : nat >-> mset_term.
Fixpoint tower m n :=
match n with
| 0 => []
| S n => (tower m n) ++ (tower m n) ++ (tower m n) ++ (tower m n) ++ [m*n]
end.

Lemma nat_sat {m n} :
(map (fun i => m + i) (tower m n)) ++ (repeat 0 (4^n)) ≡ [m*n] ++ (tower m n) ++ (tower m n) ++ (tower m n) ++ (tower m n).