proposition: Lemma cvgV f a : a != 0 -> f @ F --> a -> f\^-1 @ F --> a^-1.
proof: Proof. by move=> k_neq0 f_cvg; apply: continuous_cvg => //; apply: inv_continuous. 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