Theorems · Theorem · general topology

OpenPartialHomeomorph.prod_trans

∀ {X : Type u_1} {X' : Type u_2} {Y : Type u_3} {Y' : Type u_4} {Z : Type u_5} {Z' : Type u_6}
  [inst : TopologicalSpace X] [inst_1 : TopologicalSpace X'] [inst_2 : TopologicalSpace Y]
  [inst_3 : TopologicalSpace Y'] [inst_4 : TopologicalSpace Z] [inst_5 : TopologicalSpace Z']
  (e : OpenPartialHomeomorph X Y) (f : OpenPartialHomeomorph Y Z) (e' : OpenPartialHomeomorph X' Y')
  (f' : OpenPartialHomeomorph Y' Z'), (e.prod e').trans (f.prod f') = (e.trans f).prod (e'.trans f')

Defined in

Mathlib.Topology.OpenPartialHomeomorph.Constructions

Cited by

1 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpace