Theorems · Theorem · general topology

OpenPartialHomeomorph.preimage_closure

∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  (e : OpenPartialHomeomorph X Y) (s : Set Y), e.source ∩ ↑e ⁻¹' closure s = e.source ∩ closure (↑e ⁻¹' s)

Defined in

Mathlib.Topology.OpenPartialHomeomorph.IsImage

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace