Theorems · Theorem · commutative algebra
ValuationSubring.unitGroup_le_unitGroup
∀ {K : Type u} [inst : Field K] {A B : ValuationSubring K}, A.unitGroup ≤ B.unitGroup ↔ A ≤ B- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 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.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- Units.valproof · cited by 1,966
- map_oneproof · cited by 861
- MonoidWithZeroHomproof · cited by 704
- DFunLikeproof · cited by 576
- ValuationSubringstatement and proof · cited by 187
- Units.mk0proof · cited by 181
- SetLike.coe_memproof · cited by 46
- ValuationSubring.valuationproof · cited by 29
Cited by1
Results whose statement or proof uses this declaration.
- ValuationSubring.unitGroupOrderEmbeddingproof · cited by 1