Theorems · Theorem · field theory

Polynomial.continuousWithinAt_aeval

∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
  [inst_3 : TopologicalSpace A] [IsTopologicalSemiring A] (p : Polynomial R) {s : Set A} {a : A},
  ContinuousWithinAt (fun x => (Polynomial.aeval x) p) s a

Defined in

Mathlib.Topology.Algebra.Polynomial

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommSemiringSemiringAlgebraTopologicalSpaceIsTopologicalSemiring