Theorems · Theorem · commutative algebra
ValuationSubring.valuation_unit
∀ {K : Type u} [inst : Field K] (A : ValuationSubring K) (a : (↥A)ˣ), A.valuation ↑↑a = 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- mul_oneproof · cited by 3,885
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- Valuationstatement · cited by 823
- ValuationSubringstatement and proof · cited by 187
- ValuationSubring.valuationstatement and proof · cited by 29
- ValuationSubring.ValueGroupstatement and proof · cited by 26
- Valuation.map_oneproof · cited by 17
- ValuationSubring.valuation_eq_iffproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- ValuationSubring.unitGroupMulEquivproof · cited by 7
- ValuationSubring.valuation_eq_one_iffproof · cited by 2