Theorems · Theorem · number theory
FiniteField.coe_frobeniusAlgHom
∀ (K : Type u_1) (R : Type u_2) [inst : Field K] [inst_1 : Fintype K] [inst_2 : CommRing R] [inst_3 : Algebra K R], ⇑(FiniteField.frobeniusAlgHom K R) = fun x => x ^ Fintype.card K
- Defined in
- Mathlib.FieldTheory.Finite.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- AlgHomstatement · cited by 3,236
- Fintype.cardstatement · cited by 1,386
- FiniteField.frobeniusAlgHomstatement · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- FiniteField.orderOf_frobeniusAlgHomproof · cited by 3