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).

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)).