Theorems · Definition · general topology

PartialHomeomorph.toHomeomorphSourceTarget

{X : Type u_1} →
  {Y : Type u_3} →
    [inst : TopologicalSpace X] → [inst_1 : TopologicalSpace Y] → (e : PartialHomeomorph X Y) → ↑e.source ≃ₜ ↑e.target

A partial homeomorphism defines a homeomorphism between its source and target.

Defined in

Mathlib.Topology.PartialHomeomorph.Basic

Cited by

4 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopologicalSpace