Theorems · Theorem · commutative algebra
ValuationSubring.eq_iff_unitGroup
∀ {K : Type u} [inst : Field K] {A B : ValuationSubring K}, A = B ↔ A.unitGroup = B.unitGroup- Cited by
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- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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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
- Subgroupstatement · cited by 3,593
- Unitsstatement · cited by 2,804
- ValuationSubringstatement and proof · cited by 187
- ValuationSubring.unitGroupstatement · cited by 16
- ValuationSubring.unitGroup_injectiveproof · cited by 1
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