ContinuousMap.attachBound

{X : Type u_1} → [inst : TopologicalSpace X] → [inst_1 : CompactSpace X] → (f : C(X, ℝ)) → C(X, ↑(Set.Icc (-‖f‖) ‖f‖))

Turn a function f : C(X, ℝ) into a continuous map into Set.Icc (-‖f‖) (‖f‖), thereby explicitly attaching bounds.

Defined in: Mathlib.Topology.ContinuousMap.StoneWeierstrass
Cited by: 5 results in Mathlib
Foundations: Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace CompactSpace

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.