proposition: Lemma continuity_pt_cvg' f x : continuity_pt f x <-> f @ x^' --> f x.
proof: Proof. by rewrite continuity_ptE continuous_withinNx. Qed.
imports: Rdefinitions Raxioms RIneq Rbasic_fun Zwf Epsilon FunctionalExtensionality Ranalysis1 Rsqrt_def Rtrigo1 Reals mathcomp(all_ssreflect ssralg poly mxpoly ssrnum) HB(structures) mathcomp(boolp classical_sets) reals signed topology