Theorems · Theorem · number theory
NumberField.IsCMField.unitsMulComplexConjInv_apply_torsion
∀ (K : Type u_1) [inst : Field K] [inst_1 : CharZero K] [inst_2 : NumberField.IsCMField K] [inst_3 : NumberField K] (ζ : ↥(NumberField.Units.torsion K)), (NumberField.IsCMField.unitsMulComplexConjInv K) ↑ζ = ζ ^ 2
- Defined in
- Mathlib.NumberTheory.NumberField.CMField
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 309 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- CharZerostatement and proof · cited by 932
- NumberFieldstatement and proof · cited by 653
- inv_invproof · cited by 494
- NumberField.RingOfIntegersstatement and proof · cited by 413
- pow_twoproof · cited by 150
- NumberField.Units.torsionstatement and proof · cited by 53
- NumberField.IsCMFieldstatement and proof · cited by 45
Cited by2
Results whose statement or proof uses this declaration.
- NumberField.IsCMField.index_unitsMulComplexConjInv_range_dvdproof · cited by 1
- NumberField.IsCMField.map_unitsMulComplexConjInv_torsionproof · cited by 1