Theorems · Theorem · general topology

Polynomial.aeval_continuousMap_apply

∀ {R : Type u_1} {α : Type u_2} [inst : TopologicalSpace α] [inst_1 : CommSemiring R] [inst_2 : TopologicalSpace R]
  [inst_3 : IsTopologicalSemiring R] (g : Polynomial R) (f : C(α, R)) (x : α),
  ((Polynomial.aeval f) g) x = Polynomial.eval (f x) g

Defined in

Mathlib.Topology.ContinuousMap.Polynomial

Cited by

2 results in Mathlib

Foundations

Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceCommSemiringTopologicalSpaceIsTopologicalSemiring