Theorems · Theorem · number theory
NumberField.IsCMField.unitsComplexConj_eq_self_iff
∀ (K : Type u_1) [inst : Field K] [inst_1 : CharZero K] [inst_2 : NumberField.IsCMField K] [inst_3 : Algebra.IsIntegral ℚ K] (u : (NumberField.RingOfIntegers K)ˣ), (NumberField.IsCMField.unitsComplexConj K) u = u ↔ u ∈ NumberField.IsCMField.realUnits K
- Defined in
- Mathlib.NumberTheory.NumberField.CMField
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 311 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- Units.valproof · cited by 1,966
- MulEquivstatement · cited by 1,142
- CharZerostatement and proof · cited by 932
- NumberField.RingOfIntegersstatement and proof · cited by 413
- Algebra.IsIntegralstatement and proof · cited by 224
- IsScalarTower.algebraMap_applyproof · cited by 116
- NumberField.RingOfIntegers.valproof · cited by 74
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.IsCMField.unitsMulComplexConjInv_kerproof · cited by 1