proposition: Lemma nbhs_right_le x z : x < z -> \forall y \near x^'+, y <= z.
proof: Proof. by move=> xz; near do apply/ltW; apply: nbhs_right_lt. Unshelve. all: by end_near. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg ssrint ssrnum finmap matrix) mathcomp(rat interval zmodp vector fieldext falgebra) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality set_interval Rstruct) ereal reals signed topology prodnormedzmodule