Theorems · Theorem · general topology

isCompact_range_of_support_subset_isCompact

∀ {α : Type u_2} {β : Type u_4} [inst : TopologicalSpace α] [inst_1 : Zero β] {f : α → β} {K : Set α}
  [inst_2 : TopologicalSpace β], Continuous f → IsCompact K → Function.support f ⊆ K → IsCompact (Set.range f)

Defined in

Mathlib.Topology.Algebra.Support

Cited by

2 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceZeroTopologicalSpace