Theorems · Theorem · commutative algebra
IsDiscreteValuationRing.ringKrullDim_eq_one
∀ (R : Type u_1) [inst : CommRing R] [inst_1 : IsDomain R] [IsDiscreteValuationRing R], ringKrullDim R = 1
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- ENatstatement · cited by 4,985
- Idealproof · cited by 4,748
- Bot.botproof · cited by 4,720
- IsDomainstatement and proof · cited by 2,196
- WithBotstatement · cited by 1,498
- Ideal.IsPrimeproof · cited by 827
- IsDiscreteValuationRingstatement and proof · cited by 117
- Ring.KrullDimLEproof · cited by 79
- ringKrullDimstatement and proof · cited by 75
- eq_of_le_of_not_ltproof · cited by 28
- Ideal.IsPrime.isMaximalproof · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- IsDiscreteValuationRing.not_krullDimLE_zeroproof · cited by 1