Theorems · Theorem · number theory
NumberField.Units.basisOfIsMaxRank.congr_simp
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K]
{u u_1 : Fin (NumberField.Units.rank K) → (NumberField.RingOfIntegers K)ˣ} (e_u : u = u_1)
(hu : NumberField.Units.IsMaxRank u), NumberField.Units.basisOfIsMaxRank hu = NumberField.Units.basisOfIsMaxRank ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 304 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Unitsstatement and proof · cited by 2,804
- Module.Basisstatement · cited by 1,477
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement · cited by 604
- NumberField.RingOfIntegersstatement and proof · cited by 413
- NumberField.Units.dirichletUnitTheorem.w₀statement · cited by 72
- NumberField.Units.rankstatement and proof · cited by 46
- NumberField.Units.dirichletUnitTheorem.logSpacestatement · cited by 46
- NumberField.Units.IsMaxRankstatement and proof · cited by 12
- NumberField.Units.basisOfIsMaxRankstatement and proof · cited by 9
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