Theorems · Theorem · general topology

OpenPartialHomeomorph.restr_eqOnSource_of_eqOn

∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  {e e' : OpenPartialHomeomorph X Y} {s : Set X},
  Set.EqOn (↑e) (↑e') (e'.source ∩ interior s) →
    e'.source ∩ interior s ⊆ e.source → e.restr (e'.source ∩ interior s) ≈ e'.restr s

Defined in

Mathlib.Topology.OpenPartialHomeomorph.IsImage

Cited by

1 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace