Theorems · Theorem · number theory
NumberField.IsCMField.units_rank_eq_units_rank
∀ (K : Type u_1) [inst : Field K] [inst_1 : CharZero K] [NumberField.IsCMField K] [inst_3 : NumberField K], NumberField.Units.rank ↥(NumberField.maximalRealSubfield K) = NumberField.Units.rank K
- Defined in
- Mathlib.NumberTheory.NumberField.CMField
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 301 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Fintype.cardproof · cited by 1,386
- CharZerostatement and proof · cited by 932
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlaceproof · cited by 604
- Subfieldstatement · cited by 303
- NumberField.Units.rankstatement and proof · cited by 46
- NumberField.IsCMFieldstatement and proof · cited by 45
- NumberField.maximalRealSubfieldstatement and proof · cited by 38
- NumberField.IsCMField.card_infinitePlace_eq_card_infinitePlaceproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- NumberField.IsCMField.regOfFamily_realFunSystemproof · cited by 1
- NumberField.IsCMField.closure_realFundSystem_sup_torsionproof · cited by 1