fact: Definition continuous_base_at {U V : TopologicalSpace} (f : U → V) (x : U) base_x base_fx := is_lim_base f (locally_base x base_x) (f x) base_fx.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Topology.Filters UniMath.Algebra.Groups UniMath.Algebra.DivisionRig UniMath.Algebra.ConstructiveStructures