Theorems · Theorem · general topology

Inseparable.map_of_continuousWithinAt

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {x y : X} {f : X → Y}
  {s t : Set X},
  Inseparable x y → ContinuousWithinAt f s x → ContinuousWithinAt f t y → x ∈ t → y ∈ s → Inseparable (f x) (f y)

Defined in

Mathlib.Topology.Inseparable

Cited by

2 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace