Theorems · Theorem · general topology

Homeomorph.transOpenPartialHomeomorph_trans

∀ {X : Type u_1} {Y : Type u_3} {Z : Type u_5} {Z' : Type u_6} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  [inst_2 : TopologicalSpace Z] [inst_3 : TopologicalSpace Z'] (e : X ≃ₜ Y) (f : OpenPartialHomeomorph Y Z)
  (f' : OpenPartialHomeomorph Z Z'),
  (e.transOpenPartialHomeomorph f).trans f' = e.transOpenPartialHomeomorph (f.trans f')

Defined in

Mathlib.Topology.OpenPartialHomeomorph.Composition

Cited by

0 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpace