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Theorems · Definition · number theory

NumberField.mixedEmbedding.fundamentalCone.quotIntNorm

{K : Type u_1} →
  [inst : Field K] →
    [inst_1 : NumberField K] →
      Quotient
          (MulAction.orbitRel ↥(NumberField.Units.torsion K)
            ↑(NumberField.mixedEmbedding.fundamentalCone.integerSet K)) →
        ℕ

The norm intNorm lifts to a function on integerSet K modulo torsion K.

Defined in
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.FundamentalCone
Cited by
1 results in Mathlib
Foundations
Depth 337 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.mixedEmbedding.fundamentalCone.quotIntNorm_apply · cited by 0fundamentalCone.quotIntNo…Field · cited by 7404FieldSet.Elem · cited by 7166Set.ElemSubgroup · cited by 3593SubgroupUnits · cited by 2804UnitsNumberField · cited by 653NumberFieldNumberField.RingOfIntegers · cited by 413NumberField.RingOfIntegersNumberField.mixedEmbedding.mixedSpace · cited by 239mixedEmbedding.mixedSpaceMulAction.orbitRel · cited by 114MulAction.orbitRelNumberField.Units.torsion · cited by 53Units.torsionNumberField.mixedEmbedding.fundamentalCone.integerSet · cited by 22fundamentalCone.integerSetNumberField.mixedEmbedding.fundamentalCone.intNorm · cited by 4fundamentalCone.intNormfundamentalCone.quotIntNormCITED BYCITES

Cites11

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Cited by1

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