Theorems · Theorem · general topology

IsHomeomorph.comp

∀ {X : Type u_1} {Y : Type u_2} {Z : Type u_4} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  [inst_2 : TopologicalSpace Z] {f : X → Y} {g : Y → Z}, IsHomeomorph g → IsHomeomorph f → IsHomeomorph (g ∘ f)

Defined in

Mathlib.Topology.Homeomorph.Defs

Cited by

1 results in Mathlib

Foundations

Depth 10 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace