Theorems · Theorem · number theory
NumberField.mixedEmbedding.norm_unit
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] (u : (NumberField.RingOfIntegers K)ˣ),
NumberField.mixedEmbedding.norm ((NumberField.mixedEmbedding K) ((algebraMap (NumberField.RingOfIntegers K) K) ↑u)) =
1- Cited by
- 3 results in Mathlib
- Foundations
- Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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
- Realstatement and proof · cited by 25,697
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- Algebra.algebraMapstatement and proof · cited by 4,706
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- MonoidWithZeroHomstatement · cited by 704
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement · cited by 604
- NumberField.RingOfIntegersstatement and proof · cited by 413
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.logMap_unit_smulproof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.torsion_smul_mem_of_memproof · cited by 2
- NumberField.mixedEmbedding.norm_unit_smulproof · cited by 0