Theorems · Theorem · general topology

ContinuousOn.continuousWithinAt

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {f : α → β} {s : Set α}
  {x : α}, ContinuousOn f s → x ∈ s → ContinuousWithinAt f s x

Defined in

Mathlib.Topology.ContinuousOn

Cited by

26 results in Mathlib

Foundations

Depth 51 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace