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Theorems · Theorem · number theory

NumberField.Units.fundSystem_mk

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K] (i : Fin (NumberField.Units.rank K)),
  Additive.ofMul ↑(NumberField.Units.fundSystem K i) = (NumberField.Units.basisModTorsion K) i
Defined in
Mathlib.NumberTheory.NumberField.Units.DirichletTheorem
Cited by
1 results in Mathlib
Foundations
Depth 325 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.logEmbedding_fundSystem · cited by 4Units.logEmbedding_fundSy…DFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivField · cited by 7404FieldSubgroup · cited by 3593SubgroupUnits · cited by 2804UnitsHasQuotient.Quotient · cited by 2301HasQuotient.QuotientModule.Basis · cited by 1477Module.BasisNumberField · cited by 653NumberFieldNumberField.RingOfIntegers · cited by 413NumberField.RingOfIntegersAdditive · cited by 356AdditiveQuotientGroup.mk · cited by 196QuotientGroup.mkAdditive.ofMul · cited by 155Additive.ofMulAdditive.toMul · cited by 109Additive.toMulNumberField.Units.torsion · cited by 53Units.torsionNumberField.Units.rank · cited by 46Units.rankUnits.fundSystem_mkCITED BYCITES

Cites18

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Cited by1

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