proposition: Lemma continuous_sin : continuous sin.
proof: Proof. by move=> x; apply/differentiable_continuous/derivable1_diffP/derivable_sin. 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