Theorems · Theorem · number theory

NumberField.mixedEmbedding.fundamentalCone.expMap_basis_of_eq

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K],
  ↑NumberField.mixedEmbedding.fundamentalCone.expMap
      ((NumberField.mixedEmbedding.fundamentalCone.completeBasis K) NumberField.Units.dirichletUnitTheorem.w₀) =
    fun x => Real.exp 1

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne
Cited by: 1 results in Mathlib
Foundations: Depth 332 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites16

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

DFunLike.coestatement · cited by 62,936
Realstatement · cited by 25,697
Fieldstatement and proof · cited by 7,404
Module.Basisstatement · cited by 1,477
Real.expstatement and proof · cited by 871
OpenPartialHomeomorph.toFun'statement · cited by 745
NumberFieldstatement and proof · cited by 653
NumberField.InfinitePlacestatement and proof · cited by 604
inv_mul_cancel₀proof · cited by 267
NumberField.InfinitePlace.multproof · cited by 107
NumberField.mixedEmbedding.realSpacestatement · cited by 87
NumberField.Units.dirichletUnitTheorem.w₀statement · cited by 72

Cited by1

Results whose statement or proof uses this declaration.

NumberField.mixedEmbedding.fundamentalCone.expMapBasis_apply'proof · cited by 2