Theorems · Theorem · commutative algebra
MvPolynomial.continuous_eval
∀ {X : Type u_1} {σ : Type u_2} [inst : TopologicalSpace X] [inst_1 : CommSemiring X] [IsTopologicalSemiring X]
(p : MvPolynomial σ X), Continuous fun x => (MvPolynomial.eval x) p- Defined in
- Mathlib.Topology.Algebra.MvPolynomial
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Finsuppstatement and proof · cited by 5,255
- Continuousstatement · cited by 2,592
- MvPolynomialstatement and proof · cited by 2,140
- Finsupp.supportproof · cited by 828
- IsTopologicalSemiringstatement and proof · cited by 442
- AddMonoidAlgebra.coeffproof · cited by 365
- Continuous.comp'proof · cited by 184
- MvPolynomial.evalstatement · cited by 157
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.