Theorems · Theorem · commutative algebra
ValuationSubring.ofPrime_top
∀ {K : Type u} [inst : Field K] (A : ValuationSubring K), A.ofPrime (IsLocalRing.maximalIdeal ↥A) = A- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- IsLocalRing.maximalIdealstatement · cited by 297
- ValuationSubringstatement and proof · cited by 187
- reflproof · cited by 80
- ValuationSubring.ofPrimestatement · cited by 10
- ValuationSubring.ofPrime_idealOfLEproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ValuationSubring.eq_self_or_eq_top_of_leproof · cited by 3