Theorems · Theorem · number theory

FiniteField.natCard_algHom_of_finrank_dvd

∀ {F : Type u_3} {K : Type u_4} {L : Type u_5} [inst : Field F] [inst_1 : Field K] [inst_2 : Algebra F K]
  [inst_3 : Field L] [inst_4 : Algebra F L] [Finite L],
  Module.finrank F K ∣ Module.finrank F L → Nat.card (K →ₐ[F] L) = Module.finrank F K

Defined in

Mathlib.FieldTheory.Finite.GaloisField

Cited by

1 results in Mathlib

Foundations

Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraFieldAlgebraFinite