Theorems · Theorem · field theory
Polynomial.continuousAt_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) {a : A},
ContinuousAt (fun x => (Polynomial.aeval x) p) 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
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- ContinuousAtstatement · cited by 697
- Polynomial.aevalstatement · cited by 615
- IsTopologicalSemiringstatement and proof · cited by 442
- Continuous.continuousAtproof · cited by 297
- Polynomial.continuous_aevalproof · cited by 6
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