Theorems · Theorem · general topology

Homeomorph.trans_toOpenPartialHomeomorph

∀ {X : Type u_1} {Y : Type u_3} {Z : Type u_5} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  [inst_2 : TopologicalSpace Z] (e : X ≃ₜ Y) (e' : Y ≃ₜ Z),
  (e.trans e').toOpenPartialHomeomorph = e.toOpenPartialHomeomorph.trans e'.toOpenPartialHomeomorph

Defined in

Mathlib.Topology.OpenPartialHomeomorph.Composition

Cited by

3 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace