Theorems · Theorem · number theory
NumberField.IsCMField.unitsMulComplexConjInv_ker
∀ (K : Type u_1) [inst : Field K] [inst_1 : CharZero K] [inst_2 : NumberField.IsCMField K] [inst_3 : NumberField K], (NumberField.IsCMField.unitsMulComplexConjInv K).ker = NumberField.IsCMField.realUnits K
The kernel of unitsMulComplexConjInv is the subgroup of real units.
- Defined in
- Mathlib.NumberTheory.NumberField.CMField
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 312 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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.kerstatement · cited by 212
- Subgroup.extproof · cited by 108
- NumberField.Units.torsionstatement and proof · cited by 53
- NumberField.IsCMFieldstatement and proof · cited by 45
- MonoidHom.mem_kerproof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.IsCMField.indexRealUnits_mul_eqproof · cited by 2