Theorems · Theorem · number theory

NumberField.Units.basisOfIsMaxRank_fundSystem

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K],
  NumberField.Units.basisOfIsMaxRank ⋯ =
    Module.Basis.ofZLatticeBasis ℝ (NumberField.Units.unitLattice K) (NumberField.Units.basisUnitLattice K)

Defined in: Mathlib.NumberTheory.NumberField.Units.Regulator
Cited by: 1 results in Mathlib
Foundations: Depth 328 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Cites19

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

DFunLike.coeproof · cited by 62,936
Realstatement and proof · cited by 25,697
Fieldstatement and proof · cited by 7,404
Module.Basisstatement · cited by 1,477
NumberFieldstatement and proof · cited by 653
NumberField.InfinitePlacestatement and proof · cited by 604
NumberField.Units.dirichletUnitTheorem.w₀statement and proof · cited by 72
NumberField.Units.rankstatement and proof · cited by 46
NumberField.Units.dirichletUnitTheorem.logSpacestatement and proof · cited by 46
Module.Basis.ofZLatticeBasisstatement · cited by 36
NumberField.Units.fundSystemstatement · cited by 23
NumberField.Units.unitLatticestatement and proof · cited by 21

Cited by1

Results whose statement or proof uses this declaration.

NumberField.Units.regulator_eq_regOfFamily_fundSystemproof · cited by 7