Theorems · Theorem · general topology

TopologicalSpace.Compacts.equiv_trans

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β]
  [inst_2 : TopologicalSpace γ] (f : α ≃ₜ β) (g : β ≃ₜ γ),
  TopologicalSpace.Compacts.equiv (f.trans g) =
    (TopologicalSpace.Compacts.equiv f).trans (TopologicalSpace.Compacts.equiv g)

Defined in

Mathlib.Topology.Sets.Compacts

Cited by

0 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace