Theorems · Theorem · commutative algebra
ValuationSubring.principal_units_le_units
∀ {K : Type u} [inst : Field K] (A : ValuationSubring K), A.principalUnitGroup ≤ A.unitGroup- Cited by
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- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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Cites11
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
- add_sub_cancelproof · cited by 195
- ValuationSubringstatement and proof · cited by 187
- ValuationSubring.valuationproof · cited by 29
- ValuationSubring.unitGroupstatement · cited by 16
- ValuationSubring.principalUnitGroupstatement and proof · cited by 11
- Valuation.map_one_add_of_ltproof · cited by 2
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