Theorems · Theorem · general topology

OpenPartialHomeomorph.homeomorphOfImageSubsetSource_apply_coe

∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  (e : OpenPartialHomeomorph X Y) {s : Set X} {t : Set Y} (hs : s ⊆ e.source) (ht : ↑e '' s = t) (a : ↑s),
  ↑((e.homeomorphOfImageSubsetSource hs ht) a) = ↑e ↑a

Defined in

Mathlib.Topology.OpenPartialHomeomorph.Basic

Cited by

0 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace