Theorems · Theorem · general topology
polynomialFunctions.eq_adjoin_X
∀ {R : Type u_1} [inst : CommSemiring R] [inst_1 : TopologicalSpace R] [inst_2 : IsTopologicalSemiring R] (s : Set R),
polynomialFunctions s = R[(Polynomial.toContinuousMapOnAlgHom s) Polynomial.X]- Cited by
- 2 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites35
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
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- CommSemiringstatement and proof · cited by 10,911
- Top.topproof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Set.Elemstatement and proof · cited by 7,166
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- ContinuousMapstatement and proof · cited by 2,491
- le_antisymmproof · cited by 2,068
- mul_assocproof · cited by 1,667
Cited by2
Results whose statement or proof uses this declaration.
- polynomialFunctions.starClosure_eq_adjoin_Xproof · cited by 4
- polynomialFunctions.le_equalizerproof · cited by 1