Theorems · Theorem · general topology

Equiv.toHomeomorph_apply

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (e : X ≃ Y)
  (he : ∀ (s : Set Y), IsOpen (⇑e ⁻¹' s) ↔ IsOpen s) (x : X), (e.toHomeomorph he) x = e x

Defined in

Mathlib.Topology.Homeomorph.Defs

Cited by

0 results in Mathlib

Foundations

Depth 19 from the axioms · uses Quot.sound

Assumes

TopologicalSpaceTopologicalSpace