Theorems · Theorem · number theory
RingOfIntegers.isUnit_norm
∀ (K : Type u_2) [inst : Field K] {F : Type u_3} [inst_1 : Field F] [inst_2 : Algebra K F] [FiniteDimensional K F]
[CharZero K] {x : NumberField.RingOfIntegers F}, IsUnit ((RingOfIntegers.norm K) x) ↔ IsUnit x- Defined in
- Mathlib.NumberTheory.NumberField.Norm
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- Module.finrankproof · cited by 1,770
- IsUnitstatement and proof · cited by 1,602
- IntermediateFieldproof · cited by 988
- CharZerostatement and proof · cited by 932
- map_powproof · cited by 503
- NumberField.RingOfIntegersstatement and proof · cited by 413
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.isUnit_iff_normproof · cited by 1