Theorems · Theorem · general topology

TopologicalSpace.NonemptyCompacts.toCompacts_map

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] (f : α → β)
  (hf : Continuous f) (K : TopologicalSpace.NonemptyCompacts α),
  (TopologicalSpace.NonemptyCompacts.map f hf K).toCompacts = TopologicalSpace.Compacts.map f hf K.toCompacts

Defined in

Mathlib.Topology.Sets.Compacts

Cited by

1 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace