Theorems · Theorem · number theory
NumberField.IsCMField.index_unitsMulComplexConjInv_range_dvd
∀ (K : Type u_1) [inst : Field K] [inst_1 : CharZero K] [inst_2 : NumberField.IsCMField K] [inst_3 : NumberField K], (NumberField.IsCMField.unitsMulComplexConjInv K).range.index ∣ 2
The index of the image of unitsMulComplexConjInv divides 2.
- Defined in
- Mathlib.NumberTheory.NumberField.CMField
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 310 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- CharZerostatement and proof · cited by 932
- NumberFieldstatement and proof · cited by 653
- NumberField.RingOfIntegersstatement and proof · cited by 413
- MonoidHom.rangestatement and proof · cited by 314
- Subgroup.indexstatement and proof · cited by 150
- pow_twoproof · cited by 150
- NumberField.Units.torsionstatement and proof · cited by 53
- NumberField.IsCMFieldstatement and proof · cited by 45
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.IsCMField.indexRealUnits_eq_one_or_twoproof · cited by 0