Theorems · Theorem · general topology

Homeomorph.coe_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'] (h₁ : X ≃ₜ X') (h₂ : Y ≃ₜ Y'),
  ⇑(h₁.prodCongr h₂) = Prod.map ⇑h₁ ⇑h₂

Defined in

Mathlib.Topology.Constructions.SumProd

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpace