Theorems · Definition · number theory
NumberField.IsCMField.realFundSystem
(K : Type u_1) →
[inst : Field K] →
[inst_1 : CharZero K] →
[NumberField.IsCMField K] →
[inst_3 : NumberField K] → Fin (NumberField.Units.rank K) → (NumberField.RingOfIntegers K)ˣThe fundamental system of units of K⁺ as a family of (𝓞 K)ˣ.
- Defined in
- Mathlib.NumberTheory.NumberField.CMField
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 325 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.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- Unitsstatement · cited by 2,804
- CharZerostatement and proof · cited by 932
- NumberFieldstatement and proof · cited by 653
- NumberField.RingOfIntegersstatement and proof · cited by 413
- RingHom.toMonoidHomproof · cited by 132
- Units.mapproof · cited by 95
- finCongrproof · cited by 78
- NumberField.Units.rankstatement and proof · cited by 46
- NumberField.IsCMFieldstatement and proof · cited by 45
Cited by4
Results whose statement or proof uses this declaration.
- NumberField.IsCMField.closure_realFundSystem_sup_torsionstatement and proof · cited by 1
- NumberField.IsCMField.regOfFamily_realFunSystemstatement and proof · cited by 1
- NumberField.IsCMField.realFundSystem.congr_simpstatement and proof · cited by 0