Definition SF_inf_seq (f : R -> R) (a b : R) (n : nat) : SF_seq :=
SF_seq_f2 (Inf_fct f) (unif_part a b n).

(* Specifications: *)
Lemma SF_inf_lx (f : R -> R) (a b : R) (n : nat) :
SF_lx (SF_inf_seq f a b n) = unif_part a b n.
Lemma SF_inf_ly (f : R -> R) (a b : R) (n : nat) :
SF_ly (SF_inf_seq f a b n) = behead (pairmap (Inf_fct f) 0 (unif_part a b n)).
Lemma SF_sup_bound (f : R -> R) (a b : R) (n : nat) :
SF_rev (SF_sup_seq f a b n) = SF_sup_seq f b a n.
Lemma SF_inf_bound (f : R -> R) (a b : R) (n : nat) :
SF_rev (SF_inf_seq f a b n) = SF_inf_seq f b a n.