proposition: Lemma mu_ext_ge0 A : 0 <= mu^* A.
proof: Proof. apply: lb_ereal_inf => x [B [mB AB] <-{x}]; rewrite lime_ge //=. exact: is_cvg_nneseries. by near=> n; rewrite sume_ge0. Unshelve. all: by end_near. Qed.
imports: mathcomp(all_ssreflect all_algebra finmap) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality fsbigop ) reals ereal signed topology normedtype sequences esum numfun HB(structures)