proposition: Lemma edist_ge0 (xy : X * X) : (0 <= edist xy)%E.
proof: Proof. by apply: lb_ereal_inf => z [+ []] => _/posnumP[r] _ <-; rewrite lee_fin. 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