Theorems · Theorem · commutative algebra
ValuationSubring.surjective_unitGroupToResidueFieldUnits
∀ {K : Type u} [inst : Field K] (A : ValuationSubring K), Function.Surjective ⇑A.unitGroupToResidueFieldUnits- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- Unitsstatement · cited by 2,804
- Ideal.Quotient.mkproof · cited by 610
- IsLocalRing.maximalIdealproof · cited by 297
- ValuationSubringstatement and proof · cited by 187
- IsLocalRing.ResidueFieldstatement · cited by 156
- Ideal.Quotient.mk_surjectiveproof · cited by 134
- MulEquiv.surjectiveproof · cited by 41
- ValuationSubring.unitGroupstatement · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- ValuationSubring.unitsModPrincipalUnitsEquivResidueFieldUnitsproof · cited by 2