Theorems · Theorem · field theory
Polynomial.continuousAt
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : TopologicalSpace R] [IsTopologicalSemiring R] (p : Polynomial R) {a : R},
ContinuousAt (fun x => Polynomial.eval x p) a- Defined in
- Mathlib.Topology.Algebra.Polynomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- ContinuousAtstatement · cited by 697
- IsTopologicalSemiringstatement and proof · cited by 442
- Continuous.continuousAtproof · cited by 297
- Polynomial.continuousproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- PadicInt.norm_ascPochhammer_leproof · cited by 0