proposition: Lemma nearN (R : numFieldType) (x : R) (P : R -> Prop) : (\forall y \near - x, P y) <-> \near x, P (- x).
proof: Proof. by rewrite -near_simpl nbhsN. 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