Theorems · Theorem · algebraic geometry
PrimeSpectrum.maximalSpectrumToPiLocalization_surjective_of_discreteTopology
∀ (R : Type u) [inst : CommSemiring R] [DiscreteTopology (PrimeSpectrum R)], Function.Surjective ⇑(MaximalSpectrum.toPiLocalization R)
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- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringDiscreteTopology
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Cites14
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
- CommSemiringstatement and proof · cited by 10,911
- AlgHomstatement and proof · cited by 3,236
- PrimeSpectrumstatement and proof · cited by 625
- Ideal.primeComplstatement · cited by 462
- DiscreteTopologystatement and proof · cited by 373
- Localization.AtPrimestatement · cited by 299
- MaximalSpectrumstatement · cited by 73
- MaximalSpectrum.asIdealstatement · cited by 58
- MaximalSpectrum.PiLocalizationstatement and proof · cited by 17
- MaximalSpectrum.toPiLocalizationstatement · cited by 9
- PrimeSpectrum.piLocalizationToMaximal_comp_toPiLocalizationproof · cited by 2
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