Theorems · Theorem · number theory

NumberField.Units.logEmbedding_fundSystem

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K] (i : Fin (NumberField.Units.rank K)),
  (NumberField.Units.logEmbedding K) (Additive.ofMul (NumberField.Units.fundSystem K i)) =
    ↑((NumberField.Units.basisUnitLattice K) i)

Defined in: Mathlib.NumberTheory.NumberField.Units.DirichletTheorem
Cited by: 4 results in Mathlib
Foundations: Depth 326 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Cites27

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

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Cited by4

Results whose statement or proof uses this declaration.

NumberField.Units.isMaxRank_fundSystemproof · cited by 4
NumberField.Units.basisOfIsMaxRank_fundSystemproof · cited by 1
NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_completeFamily_of_neproof · cited by 1
NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasisproof · cited by 0