Theorems · Theorem · commutative algebra
ValuationSubring.valuationSubring_valuation
∀ {K : Type u} [inst : Field K] (A : ValuationSubring K), A.valuation.valuationSubring = A- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- ValuationSubringstatement and proof · cited by 187
- Valuation.valuationSubringstatement and proof · cited by 56
- ValuationSubring.valuationstatement and proof · cited by 29
- ValuationSubring.ValueGroupstatement · cited by 26
- ValuationSubring.valuation_le_one_iffproof · cited by 9
- ValuationSubring.extproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- ValuationSubring.integer_valuationproof · cited by 0