proposition: Lemma sin_sg x y : sin (Num.sg x * y) = Num.sg x * sin y.
proof: Proof. by case: sgrP; rewrite ?mul1r ?mulN1r ?sinN // !mul0r sin0. Qed.
imports: mathcomp(all_ssreflect ssralg ssrint ssrnum matrix) mathcomp(interval rat) mathcomp(mathcomp_extra boolp classical_sets functions) reals ereal nsatz_realtype signed topology normedtype landau sequences derive realfun exp