Theorems · Theorem · commutative algebra
PrimeSpectrum.piLocalizationToMaximal_bijective
∀ {R : Type u_1} [inst : CommSemiring R],
(∀ (I : Ideal R), I.IsPrime → I.IsMaximal) → Function.Bijective ⇑(PrimeSpectrum.piLocalizationToMaximal R)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 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.
Cites19
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
- Idealstatement and proof · cited by 4,748
- AlgHomstatement · cited by 3,236
- Function.Bijectivestatement · cited by 863
- Ideal.IsPrimestatement and proof · cited by 827
- PrimeSpectrumstatement · cited by 625
- Ideal.primeComplstatement · cited by 462
- Ideal.IsMaximalstatement and proof · cited by 452
- PrimeSpectrum.asIdealstatement · cited by 333
- Localization.AtPrimestatement · cited by 299
- Localizationstatement · cited by 270
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.