Mathlib Map

Theorems · Theorem · commutative algebra

Valuation.isEquiv_valuation_valuationSubring

∀ {K : Type u} [inst : Field K] {Γ : Type u_1} [inst_1 : LinearOrderedCommGroupWithZero Γ] (v : Valuation K Γ),
  v.IsEquiv v.valuationSubring.valuation
Defined in
Mathlib.RingTheory.Valuation.ValuationSubring
Cited by
2 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldLinearOrderedCommGroupWithZero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Valuation.isNontrivial_valuation_valuationSubring_iff · cited by 0Valuation.isNontrivial_va…Valuation.mem_unitGroup_iff · cited by 0Valuation.mem_unitGroup_i…DFunLike.coe · cited by 62936DFunLike.coeField · cited by 7404FieldValuation · cited by 823ValuationLinearOrderedCommGroupWithZero · cited by 528LinearOrderedCommGroupWit…Valuation.IsEquiv · cited by 67Valuation.IsEquivValuation.valuationSubring · cited by 56Valuation.valuationSubringValuationSubring.valuation · cited by 29ValuationSubring.valuationValuationSubring.ValueGroup · cited by 26ValuationSubring.ValueGro…ValuationSubring.valuation_le_one_iff · cited by 9ValuationSubring.valuatio…Valuation.isEquiv_iff_val_le_one · cited by 4Valuation.isEquiv_iff_val…Valuation.mem_valuationSubring_iff · cited by 2Valuation.mem_valuationSu…Valuation.isEquiv_valuation_v…CITED BYCITES

Cites11

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.