Theorems · Theorem · general topology

OpenPartialHomeomorph.IsImage.isOpen_iff

∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  {e : OpenPartialHomeomorph X Y} {s : Set X} {t : Set Y},
  e.IsImage s t → (IsOpen (e.source ∩ s) ↔ IsOpen (e.target ∩ t))

Defined in

Mathlib.Topology.OpenPartialHomeomorph.IsImage

Cited by

0 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace