proposition: Lemma biglub_lub_morph (f : {Biglub_morph L -> M}) : lub_morph f.
proof: Proof. move=> x y; rewrite !lubE biglub_morph. congr (|_| _%:ne); apply/neset_ext => /=. by rewrite image_setU !image_set1. 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