Theorems · Theorem · general topology

HasCompactMulSupport.continuous_extend_one

∀ {α' : Type u_3} {β : Type u_4} [inst : TopologicalSpace α'] [inst_1 : One β] [T2Space α']
  [inst_3 : TopologicalSpace β] {U : Set α'},
  IsOpen U → ∀ {f : ↑U → β}, Continuous f → HasCompactMulSupport f → Continuous (Function.extend Subtype.val f 1)

Defined in

Mathlib.Topology.Algebra.Support

Cited by

0 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceOneT2SpaceTopologicalSpace