Theorems · Theorem · general topology

OpenPartialHomeomorph.trans_ofSet

∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  (e : OpenPartialHomeomorph X Y) {s : Set Y} (hs : IsOpen s),
  e.trans (OpenPartialHomeomorph.ofSet s hs) = e.restr (↑e ⁻¹' s)

Defined in

Mathlib.Topology.OpenPartialHomeomorph.Composition

Cited by

2 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace