Mathlib Map

Theorems · Theorem · number theory

NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eq

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K],
  (NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis K).toBasis.map
      ↑(NumberField.mixedEmbedding.euclidean.toMixed K) =
    NumberField.mixedEmbedding.stdBasis K
Defined in
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.Basic
Cited by
1 results in Mathlib
Foundations
Depth 234 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldNumberField
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed · cited by 2euclidean.volumePreservin…DFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealRingHom.id · cited by 18349RingHom.idENNReal · cited by 9879ENNRealField · cited by 7404FieldComplex · cited by 5565ComplexModule.Basis · cited by 1477Module.BasisNumberField · cited by 653NumberFieldNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceEuclideanSpace · cited by 307EuclideanSpaceNumberField.InfinitePlace.IsReal · cited by 301InfinitePlace.IsRealNumberField.InfinitePlace.IsComplex · cited by 272InfinitePlace.IsComplexNumberField.mixedEmbedding.mixedSpace · cited by 239mixedEmbedding.mixedSpaceContinuousLinearEquiv.toLinearEquiv · cited by 118ContinuousLinearEquiv.toL…OrthonormalBasis.toBasis · cited by 102OrthonormalBasis.toBasiseuclidean.stdOrthonormalBasis…CITED BYCITES

Cites22

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

Cited by1

Results whose statement or proof uses this declaration.