Theorems · Theorem · general topology

TopologicalSpace.Compacts.map_comp

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β]
  [inst_2 : TopologicalSpace γ] (f : β → γ) (g : α → β) (hf : Continuous f) (hg : Continuous g)
  (K : TopologicalSpace.Compacts α),
  TopologicalSpace.Compacts.map (f ∘ g) ⋯ K = TopologicalSpace.Compacts.map f hf (TopologicalSpace.Compacts.map g hg K)

Defined in

Mathlib.Topology.Sets.Compacts

Cited by

1 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace