Theorems · Theorem · general topology

Homeomorph.symm_map_nhds_eq

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y) (x : X),
  Filter.map (⇑h.symm) (nhds (h x)) = nhds x

Defined in

Mathlib.Topology.Homeomorph.Defs

Cited by

3 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace