proposition: Lemma total_variationxx a f : TV a a f = 0%E.
proof: Proof. by rewrite /total_variation variationsxx image_set1 ereal_sup1. 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)