Theorems · Theorem · field theory
Polynomial.continuousWithinAt
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : TopologicalSpace R] [IsTopologicalSemiring R] (p : Polynomial R)
{s : Set R} {a : R}, ContinuousWithinAt (fun x => Polynomial.eval x p) s a- Defined in
- Mathlib.Topology.Algebra.Polynomial
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- Polynomial.evalstatement · cited by 796
- ContinuousWithinAtstatement · cited by 512
- IsTopologicalSemiringstatement and proof · cited by 442
- Continuous.continuousWithinAtproof · cited by 54
- Polynomial.continuousproof · cited by 12
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