Theorems · Theorem · commutative algebra
ValuationSubring.primeSpectrumEquiv_apply
∀ {K : Type u} [inst : Field K] (A : ValuationSubring K) (P : PrimeSpectrum ↥A),
A.primeSpectrumEquiv P = ⟨A.ofPrime P.asIdeal, ⋯⟩- Cited by
- 1 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Equivstatement · cited by 8,337
- Fieldstatement and proof · cited by 7,404
- PrimeSpectrumstatement and proof · cited by 625
- PrimeSpectrum.asIdealstatement · cited by 333
- ValuationSubringstatement and proof · cited by 187
- ValuationSubring.ofPrimestatement · cited by 10
- ValuationSubring.primeSpectrumEquivstatement and proof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ValuationSubring.eq_self_or_eq_top_of_leproof · cited by 3