Theorems · Definition · number theory
RingOfIntegers.norm
{L : Type u_1} →
(K : Type u_2) →
[inst : Field K] → [inst_1 : Field L] → [Algebra K L] → NumberField.RingOfIntegers L →* NumberField.RingOfIntegers KAlgebra.norm as a morphism between the rings of integers.
- Defined in
- Mathlib.NumberTheory.NumberField.Norm
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- MonoidHom.compproof · cited by 469
- NumberField.RingOfIntegersstatement and proof · cited by 413
- MonoidHomClass.toMonoidHomproof · cited by 294
- Algebra.normproof · cited by 155
- NumberField.RingOfIntegers.restrict_monoidHomproof · cited by 0
Cited by9
Results whose statement or proof uses this declaration.
- RingOfIntegers.coe_normstatement · cited by 2
- RingOfIntegers.coe_algebraMap_normstatement · cited by 1
- RingOfIntegers.isUnit_normstatement and proof · cited by 1
- RingOfIntegers.isUnit_norm_of_isGaloisstatement and proof · cited by 1
- RingOfIntegers.norm_algebraMapstatement and proof · cited by 1
- RingOfIntegers.norm_normstatement and proof · cited by 1
- RingOfIntegers.algebraMap_norm_algebraMapstatement · cited by 1
- NumberField.isUnit_iff_normstatement and proof · cited by 1
- RingOfIntegers.dvd_normstatement · cited by 1