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Theorems · Theorem · number theory

NumberField.Units.finrank_eq_rank

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K],
  Module.finrank ℝ (NumberField.Units.dirichletUnitTheorem.logSpace K) = NumberField.Units.rank K
Defined in
Mathlib.NumberTheory.NumberField.Units.DirichletTheorem
Cited by
1 results in Mathlib
Foundations
Depth 299 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.unitLattice_rank · cited by 2Units.unitLattice_rankReal · cited by 25697RealField · cited by 7404FieldModule.finrank · cited by 1770Module.finrankFintype.card · cited by 1386Fintype.cardNumberField · 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…Fintype.card_subtype_compl · cited by 16Fintype.card_subtype_complModule.finrank_fintype_fun_eq_card · cited by 14Module.finrank_fintype_fu…Units.finrank_eq_rankCITED BYCITES

Cites11

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Cited by1

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