Theorems · Theorem · general topology
polynomialFunctions_separatesPoints
∀ {R : Type u_1} [inst : CommSemiring R] [inst_1 : TopologicalSpace R] [inst_2 : IsTopologicalSemiring R] (X : Set R),
(polynomialFunctions X).SeparatesPoints- 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.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- Set.Elemstatement and proof · cited by 7,166
- ContinuousMapproof · cited by 2,491
- Polynomial.Xproof · cited by 1,639
- RingHomClass.toRingHomproof · cited by 746
- IsTopologicalSemiringstatement and proof · cited by 442
- Polynomial.eval_Xproof · cited by 172
- Subalgebra.SeparatesPointsstatement · cited by 18
- polynomialFunctionsstatement · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- polynomialFunctions.starClosure_topologicalClosureproof · cited by 4
- polynomialFunctions.topologicalClosureproof · cited by 1