Theorems · Theorem · general topology

OpenPartialHomeomorph.lift_openEmbedding_apply

∀ {X : Type u_7} {X' : Type u_8} {Z : Type u_9} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace X']
  [inst_2 : TopologicalSpace Z] [inst_3 : Nonempty Z] {f : X → X'} (e : OpenPartialHomeomorph X Z)
  (hf : Topology.IsOpenEmbedding f) {x : X}, ↑(e.lift_openEmbedding hf) (f x) = ↑e x

Defined in

Mathlib.Topology.OpenPartialHomeomorph.Constructions

Cited by

2 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceNonempty