Theorems · Theorem · number theory
FiniteField.unitsMap_norm_surjective
∀ (K : Type u_1) (K' : Type u_2) [inst : Field K] [inst_1 : Field K'] [inst_2 : Algebra K K'] [Finite K'], Function.Surjective ⇑(Units.map (Algebra.norm K))
- Defined in
- Mathlib.FieldTheory.Finite.GaloisField
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites36
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
- Setproof · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- SetLike.coeproof · cited by 8,199
- Fintypeproof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Set.ofPredproof · cited by 6,101
- Algebra.algebraMapproof · cited by 4,706
- MonoidHomstatement · cited by 3,629
- Finset.univproof · cited by 3,473
- Finitestatement and proof · cited by 3,029
- Unitsstatement and proof · cited by 2,804
Cited by1
Results whose statement or proof uses this declaration.
- FiniteField.norm_surjectiveproof · cited by 0