Theorems · Theorem · commutative algebra
PrimeSpectrum.piLocalizationToMaximal_surjective
∀ (R : Type u_1) [inst : CommSemiring R], Function.Surjective ⇑(PrimeSpectrum.piLocalizationToMaximal R)
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- AlgHomstatement · cited by 3,236
- PrimeSpectrumstatement and proof · cited by 625
- Ideal.primeComplstatement · cited by 462
- Ideal.IsMaximalproof · cited by 452
- PrimeSpectrum.asIdealstatement and proof · cited by 333
- Localization.AtPrimestatement · cited by 299
- Localizationstatement · cited by 270
- MaximalSpectrumstatement and proof · cited by 73
- MaximalSpectrum.asIdealstatement · cited by 58
- PrimeSpectrum.PiLocalizationstatement · cited by 20
Cited by2
Results whose statement or proof uses this declaration.
- PrimeSpectrum.toPiLocalization_not_surjective_of_infiniteproof · cited by 1