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Theorems · Theorem · number theory

NumberField.Units.dirichletUnitTheorem.logEmbedding_ker

∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K],
  (NumberField.Units.logEmbedding K).ker = Subgroup.toAddSubgroup (NumberField.Units.torsion K)
Defined in
Mathlib.NumberTheory.NumberField.Units.DirichletTheorem
Cited by
2 results in Mathlib
Foundations
Depth 303 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldNumberField
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Around this declaration

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

NumberField.Units.regOfFamily_div_regOfFamily · cited by 1Units.regOfFamily_div_reg…NumberField.Units.dirichletUnitTheorem.map_logEmbedding_sup_torsion · cited by 1dirichletUnitTheorem.map_…DFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealField · cited by 7404FieldSubgroup · cited by 3593SubgroupAddSubgroup · cited by 3232AddSubgroupUnits · cited by 2804UnitsOrderIso · cited by 874OrderIsoNumberField · cited by 653NumberFieldNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceNumberField.RingOfIntegers · cited by 413NumberField.RingOfIntegersAdditive · cited by 356AdditiveAddMonoidHom.ker · cited by 158AddMonoidHom.kerAdditive.ofMul · cited by 155Additive.ofMulAdditive.toMul · cited by 109Additive.toMulAddSubgroup.ext · cited by 75AddSubgroup.extdirichletUnitTheorem.logEmbed…CITED BYCITES

Cites23

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Cited by2

Results whose statement or proof uses this declaration.