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Theorems · Theorem · commutative algebra

ValuationSubring.mapOfLE_valuation_apply

∀ {K : Type u} [inst : Field K] (R S : ValuationSubring K) (h : R ≤ S) (x : K),
  (R.mapOfLE S h) (R.valuation x) = S.valuation x
Defined in
Mathlib.RingTheory.Valuation.ValuationSubring
Cited by
1 results in Mathlib
Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Field
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ValuationSubring.idealOfLE_le_of_le · cited by 0ValuationSubring.idealOfL…DFunLike.coe · cited by 62936DFunLike.coeField · cited by 7404FieldValuation · cited by 823ValuationMonoidWithZeroHom · cited by 704MonoidWithZeroHomValuationSubring · cited by 187ValuationSubringValuationSubring.valuation · cited by 29ValuationSubring.valuationValuationSubring.ValueGroup · cited by 26ValuationSubring.ValueGro…ValuationSubring.mapOfLE · cited by 6ValuationSubring.mapOfLEValuationSubring.mapOfLE_valu…CITED BYCITES

Cites8

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Cited by1

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