proposition: Lemma pinfty_ex_gt0 (A : set R) : (\forall k \near +oo, A k) -> exists2 M, M > 0 & A M.
proof: Proof. exact: pinfty_ex_gt. 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