Mathlib Map

Theorems · Definition · number theory

NumberField.Units.logEmbeddingQuot

(K : Type u_1) →
  [inst : Field K] →
    [inst_1 : NumberField K] →
      Additive ((NumberField.RingOfIntegers K)ˣ ⧸ NumberField.Units.torsion K) →+
        NumberField.Units.dirichletUnitTheorem.logSpace K

The map obtained by quotienting by the kernel of logEmbedding.

Defined in
Mathlib.NumberTheory.NumberField.Units.DirichletTheorem
Cited by
2 results in Mathlib
Foundations
Depth 304 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.Units.logEmbeddingEquiv · cited by 4Units.logEmbeddingEquivNumberField.Units.logEmbeddingQuot_apply · cited by 0Units.logEmbeddingQuot_ap…NumberField.Units.logEmbeddingQuot_injective · cited by 0Units.logEmbeddingQuot_in…DFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealField · cited by 7404FieldSubgroup · cited by 3593SubgroupAddMonoidHom · cited by 3230AddMonoidHomUnits · cited by 2804UnitsHasQuotient.Quotient · cited by 2301HasQuotient.QuotientNumberField · cited by 653NumberFieldNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceMonoidHom.comp · cited by 469MonoidHom.compNumberField.RingOfIntegers · cited by 413NumberField.RingOfIntegersAdditive · cited by 356AdditiveMulEquiv.toMonoidHom · cited by 126MulEquiv.toMonoidHomNumberField.Units.dirichletUnitTheorem.w₀ · cited by 72dirichletUnitTheorem.w₀NumberField.Units.torsion · cited by 53Units.torsionUnits.logEmbeddingQuotCITED BYCITES

Cites21

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

Cited by3

Results whose statement or proof uses this declaration.