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Theorems · Theorem · number theory

NumberField.Units.unitLattice_rank

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K],
  Module.finrank ℤ ↥(NumberField.Units.unitLattice K) = NumberField.Units.rank K
Defined in
Mathlib.NumberTheory.NumberField.Units.DirichletTheorem
Cited by
2 results in Mathlib
Foundations
Depth 320 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.finrank_modTorsion · cited by 1Units.finrank_modTorsionNumberField.Units.isMaxRank_iff_closure_finiteIndex · cited by 1Units.isMaxRank_iff_closu…Real · cited by 25697RealField · cited by 7404FieldSubmodule · cited by 7192SubmoduleModule.finrank · cited by 1770Module.finrankNumberField · cited by 653NumberFieldNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceNumberField.Units.dirichletUnitTheorem.w₀ · cited by 72dirichletUnitTheorem.w₀NumberField.Units.rank · cited by 46Units.rankNumberField.Units.dirichletUnitTheorem.logSpace · cited by 46dirichletUnitTheorem.logS…NumberField.Units.unitLattice · cited by 21Units.unitLatticeZLattice.rank · cited by 5ZLattice.rankNumberField.Units.finrank_eq_rank · cited by 1Units.finrank_eq_rankUnits.unitLattice_rankCITED BYCITES

Cites12

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Cited by2

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