Theorems · Theorem · general topology

HasCompactMulSupport.mulTSupport_extend_one_subset

∀ {α : Type u_2} {α' : Type u_3} {β : Type u_4} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace α']
  [inst_2 : One β] {f : α → β} [T2Space α'],
  HasCompactMulSupport f → ∀ {g : α → α'}, Continuous g → mulTSupport (Function.extend g f 1) ⊆ g '' mulTSupport f

Defined in

Mathlib.Topology.Algebra.Support

Cited by

4 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceOneT2Space