Theorems · Definition · commutative algebra
Valuation.ofAddValuation
{R : Type u_3} →
{Γ₀ : Type u_5} →
[inst : Ring R] → [inst_1 : LinearOrderedCommMonoidWithZero Γ₀] → AddValuation R (Additive Γ₀)ᵒᵈ ≃ Valuation R Γ₀The Valuation associated to a AddValuation.
- Defined in
- Mathlib.RingTheory.Valuation.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equivstatement · cited by 8,337
- Ringstatement and proof · cited by 7,463
- OrderDualstatement and proof · cited by 927
- Multiplicativeproof · cited by 875
- Valuationstatement · cited by 823
- OrderDual.toDualproof · cited by 481
- OrderDual.ofDualproof · cited by 400
- Additivestatement and proof · cited by 356
- Equiv.transproof · cited by 337
- Multiplicative.ofAddproof · cited by 237
- Multiplicative.toAddproof · cited by 161
Cited by5
Results whose statement or proof uses this declaration.
- Valuation.toAddValuation_symm_eqstatement · cited by 0
- Valuation.ofAddValuation_applystatement · cited by 0
- Valuation.ofAddValuation_symm_eqstatement · cited by 0
- Valuation.ofAddValuation_toAddValuationstatement · cited by 0
- Valuation.toValuation_ofValuationstatement · cited by 0