Theorems · Theorem · number theory

NumberField.Units.basisOfIsMaxRank_apply

∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K]
  {u : Fin (NumberField.Units.rank K) → (NumberField.RingOfIntegers K)ˣ} (hu : NumberField.Units.IsMaxRank u)
  (i : Fin (NumberField.Units.rank K)),
  (NumberField.Units.basisOfIsMaxRank hu) i = (NumberField.Units.logEmbedding K) (Additive.ofMul (u i))

Defined in: Mathlib.NumberTheory.NumberField.Units.Regulator
Cited by: 3 results in Mathlib
Foundations: Depth 304 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Cites24

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

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Cited by3

Results whose statement or proof uses this declaration.

NumberField.Units.regOfFamily_eq_det'proof · cited by 3
NumberField.Units.span_basisOfIsMaxRankproof · cited by 1
NumberField.Units.basisOfIsMaxRank_fundSystemproof · cited by 1