Theorems · Definition · general topology

Homeomorph.prodCongr

{X : Type u} →
  {Y : Type v} →
    [inst : TopologicalSpace X] →
      [inst_1 : TopologicalSpace Y] →
        {X' : Type u_5} →
          {Y' : Type u_6} →
            [inst_2 : TopologicalSpace X'] → [inst_3 : TopologicalSpace Y'] → X ≃ₜ X' → Y ≃ₜ Y' → X × Y ≃ₜ X' × Y'

Product of two homeomorphisms.

Defined in

Mathlib.Topology.Constructions.SumProd

Cited by

7 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpace