Theorems · Theorem · number theory
NumberField.IsCMField.indexRealUnits_mul_eq
∀ (K : Type u_1) [inst : Field K] [inst_1 : CharZero K] [inst_2 : NumberField.IsCMField K] [inst_3 : NumberField K], NumberField.IsCMField.indexRealUnits K * (NumberField.IsCMField.unitsMulComplexConjInv K).range.index = 2
- Defined in
- Mathlib.NumberTheory.NumberField.CMField
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 313 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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
- Groupproof · cited by 6,238
- Subgroupstatement and proof · 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.mapproof · cited by 301
- MonoidHom.kerproof · cited by 212
- sup_commproof · cited by 165
- Subgroup.indexstatement and proof · cited by 150
Cited by2
Results whose statement or proof uses this declaration.
- NumberField.IsCMField.indexRealUnits_eq_one_or_twoproof · cited by 0
- NumberField.IsCMField.indexRealUnits_eq_two_iffproof · cited by 0