proposition: Lemma series_exp_coeff0 n : series (exp 0) n.+1 = 1.
proof: Proof. rewrite /series /= big_mkord big_ord_recl /= /exp /= expr0n divr1. by rewrite big1 ?addr0 // => i _; rewrite expr0n mul0r. Qed.
imports: mathcomp(all_ssreflect ssralg ssrint ssrnum matrix) mathcomp(interval rat) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(set_interval) reals ereal signed topology normedtype landau