proposition: Lemma total_variation_ge0 a b f : a <= b -> (0 <= TV a b f)%E.
proof: Proof. by move=> ab; rewrite (le_trans _ (total_variation_ge _ ab)). 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)