Theorems · Definition · commutative algebra
ValuationSubring.idealOfLE
{K : Type u} → [inst : Field K] → (R S : ValuationSubring K) → R ≤ S → Ideal ↥RThe ideal corresponding to a coarsening of a valuation ring.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 57 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
- Idealstatement · cited by 4,748
- Ideal.comapproof · cited by 443
- IsLocalRing.maximalIdealproof · cited by 297
- ValuationSubringstatement and proof · cited by 187
- ValuationSubring.inclusionproof · cited by 6
Cited by8
Results whose statement or proof uses this declaration.
- ValuationSubring.ofPrime_idealOfLEstatement and proof · cited by 2
- ValuationSubring.primeSpectrumEquivproof · cited by 2
- ValuationSubring.ofPrime_botproof · cited by 1
- ValuationSubring.idealOfLE_le_of_lestatement and proof · cited by 0
- ValuationSubring.idealOfLE_ofPrimestatement · cited by 0
- ValuationSubring.idealOfLE_selfstatement · cited by 0
- ValuationSubring.idealOfLE_topstatement · cited by 0
- ValuationSubring.idealOfLE.congr_simpstatement and proof · cited by 0