Theorems · Theorem · general topology

ContinuousMap.polynomial_comp_attachBound

∀ {X : Type u_1} [inst : TopologicalSpace X] [inst_1 : CompactSpace X] (A : Subalgebra ℝ C(X, ℝ)) (f : ↥A)
  (g : Polynomial ℝ), (g.toContinuousMapOn (Set.Icc (-‖f‖) ‖f‖)).comp (↑f).attachBound = ↑((Polynomial.aeval f) g)

Defined in

Mathlib.Topology.ContinuousMap.StoneWeierstrass

Cited by

1 results in Mathlib

Foundations

Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceCompactSpace