proposition: Lemma near_can_continuous f g (x : R) : {near x, cancel f g} -> {near x, continuous f} -> {near f x, continuous g}.
proof: Proof. by move=> fK fct; have [] := near_can_continuousAcan_sym fK fct. Qed.
imports: mathcomp(all_ssreflect ssralg ssrint ssrnum finmap) mathcomp(matrix interval zmodp vector fieldext falgebra) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality) ereal reals signed topology prodnormedzmodule normedtype derive sequences real_interval HB(structures)