Theorems · Definition · general topology

OpenPartialHomeomorph.IsImage.restr

{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) → OpenPartialHomeomorph X Y

Restrict an OpenPartialHomeomorph to a pair of corresponding open sets.

Defined in

Mathlib.Topology.OpenPartialHomeomorph.IsImage

Cited by

4 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace