fact: Definition continuous_on {U V : TopologicalSpace} (dom : U → hProp) (f : ∏ (x : U), dom x → V) := ∏ (x : U) (Hx : dom x), ∃ H, is_lim (λ y : (∑ x : U, dom x), f (pr1 y) (pr2 y)) (FilterSubtype (locally x) dom H) (f x Hx).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Topology.Filters UniMath.Algebra.Groups UniMath.Algebra.DivisionRig UniMath.Algebra.ConstructiveStructures