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Theorems · Theorem · number theory

NumberField.mixedEmbedding.fundamentalCone.completeBasis_apply_of_eq

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K],
  (NumberField.mixedEmbedding.fundamentalCone.completeBasis K) NumberField.Units.dirichletUnitTheorem.w₀ = fun w =>
    ↑w.mult
Defined in
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne
Cited by
2 results in Mathlib
Foundations
Depth 331 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldNumberField
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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NumberField.mixedEmbedding.fundamentalCone.expMap_basis_of_eq · cited by 1fundamentalCone.expMap_ba…NumberField.mixedEmbedding.fundamentalCone.abs_det_completeBasis_equivFunL_symm · cited by 1fundamentalCone.abs_det_c…DFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealField · cited by 7404FieldModule.Basis · cited by 1477Module.BasisNumberField · cited by 653NumberFieldNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceNumberField.InfinitePlace.mult · cited by 107InfinitePlace.multNumberField.mixedEmbedding.realSpace · cited by 87mixedEmbedding.realSpaceNumberField.Units.dirichletUnitTheorem.w₀ · cited by 72dirichletUnitTheorem.w₀NumberField.mixedEmbedding.fundamentalCone.completeBasis · cited by 16fundamentalCone.completeB…coe_basisOfLinearIndependentOfCardEqFinrank · cited by 12coe_basisOfLinearIndepend…NumberField.mixedEmbedding.fundamentalCone.linearIndependent_completeFamily · cited by 2fundamentalCone.linearInd…fundamentalCone.completeBasis…CITED BYCITES

Cites12

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Cited by2

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