Theorems · Theorem · number theory
RingOfIntegers.isUnit_norm_of_isGalois
∀ {L : Type u_1} (K : Type u_2) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] [FiniteDimensional K L]
[IsGalois K L] {x : NumberField.RingOfIntegers L}, IsUnit ((RingOfIntegers.norm K) x) ↔ IsUnit x- Defined in
- Mathlib.NumberTheory.NumberField.Norm
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- MonoidHomstatement · cited by 3,629
- FiniteDimensionalstatement and proof · cited by 1,854
- IsUnitstatement and proof · cited by 1,602
- NumberField.RingOfIntegersstatement and proof · cited by 413
- IsGaloisstatement and proof · cited by 149
- IsUnit.mapproof · cited by 104
- isUnit_of_dvd_unitproof · cited by 22
- RingOfIntegers.normstatement and proof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- RingOfIntegers.isUnit_normproof · cited by 1