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Theorems · Theorem · number theory

FiniteField.coe_frobeniusAlgEquivOfAlgebraic

∀ (K : Type u_1) [inst : Field K] [inst_1 : Fintype K] (L : Type u_3) [inst_2 : Field L] [inst_3 : Algebra K L]
  [inst_4 : Algebra.IsAlgebraic K L], ⇑(FiniteField.frobeniusAlgEquivOfAlgebraic K L) = fun x => x ^ Fintype.card K
Defined in
Mathlib.FieldTheory.Finite.Basic
Cited by
0 results in Mathlib
Foundations
Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFintypeFieldAlgebraAlgebra.IsAlgebraic
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DFunLike.coe · cited by 62936DFunLike.coeAlgebra · cited by 11388AlgebraFintype · cited by 7736FintypeField · cited by 7404FieldAlgEquiv · cited by 1681AlgEquivFintype.card · cited by 1386Fintype.cardAlgebra.IsAlgebraic · cited by 322Algebra.IsAlgebraicFiniteField.frobeniusAlgEquivOfAlgebraic · cited by 11FiniteField.frobeniusAlgE…FiniteField.coe_frobeniusAlgE…CITED BYCITES

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