proposition: Lemma conv0_set (X : neset A) Y : X :<| 0%:pr |>: Y = Y.
proof: Proof. rewrite convC_set /= (_ : 0.~%:pr = 1%:pr) ?conv1_set //. by apply val_inj; rewrite /= onem0. 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