Theorems · Theorem · commutative algebra
ValuationSubring.idealOfLE_le_of_le
∀ {K : Type u} [inst : Field K] (A R S : ValuationSubring K) (hR : A ≤ R) (hS : A ≤ S),
R ≤ S → A.idealOfLE S hS ≤ A.idealOfLE R hR- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 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.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Idealstatement · cited by 4,748
- ValuationSubringstatement and proof · cited by 187
- not_le_of_gtproof · cited by 97
- ValuationSubring.valuationproof · cited by 29
- ValuationSubring.ValueGroupproof · cited by 26
- ValuationSubring.idealOfLEstatement and proof · cited by 7
- ValuationSubring.mapOfLEproof · cited by 6
- ValuationSubring.inclusionproof · cited by 6
- MonoidWithZeroHom.map_oneproof · cited by 5
- ValuationSubring.valuation_lt_one_iffproof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.