Theorems · Theorem · general topology

OpenPartialHomeomorph.eventually_left_inverse

∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  (e : OpenPartialHomeomorph X Y) {x : X}, x ∈ e.source → ∀ᶠ (y : X) in nhds x, ↑e.symm (↑e y) = y

Defined in

Mathlib.Topology.OpenPartialHomeomorph.Continuity

Cited by

7 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace