proposition: Lemma neset_bigsetU_neq0 A B (X : neset A) (F : A -> neset B) : \bigcup_(i in X) F i != set0.
proof: Proof. by apply/bigcup_set0P; eexists; split => //; eexists. Qed.
imports: HB(structures) Reals mathcomp(all_ssreflect ssralg ssrnum) mathcomp(mathcomp_extra boolp classical_sets Rstruct reals) mathcomp(finmap) Reals_ext realType_ext classical_sets_ext ssrR fdist fsdist convex