Theorems · Definition · general topology

Homeomorph.trans

{X : Type u_1} →
  {Y : Type u_2} →
    {Z : Type u_4} →
      [inst : TopologicalSpace X] →
        [inst_1 : TopologicalSpace Y] → [inst_2 : TopologicalSpace Z] → X ≃ₜ Y → Y ≃ₜ Z → X ≃ₜ Z

Composition of two homeomorphisms.

Defined in

Mathlib.Topology.Homeomorph.Defs

Cited by

49 results in Mathlib

Foundations

Depth 16 from the axioms · uses Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace