Theorems · Theorem · general topology

OpenPartialHomeomorph.nhdsWithin_source_inter

∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  (e : OpenPartialHomeomorph X Y) {x : X}, x ∈ e.source → ∀ (s : Set X), nhdsWithin x (e.source ∩ s) = nhdsWithin x s

Defined in

Mathlib.Topology.OpenPartialHomeomorph.Continuity

Cited by

3 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace