Theorems · Theorem · field theory
IsArtinianRing.primeSpectrumEquivMaximalSpectrum.congr_simp
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsArtinianRing R],
IsArtinianRing.primeSpectrumEquivMaximalSpectrum = IsArtinianRing.primeSpectrumEquivMaximalSpectrum- Defined in
- Mathlib.RingTheory.Etale.Field
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingIsArtinianRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Equivstatement · cited by 8,337
- PrimeSpectrumstatement · cited by 625
- IsArtinianRingstatement and proof · cited by 98
- MaximalSpectrumstatement · cited by 73
- IsArtinianRing.primeSpectrumEquivMaximalSpectrumstatement and proof · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.