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Theorems · Theorem · field theory

exists_linearIndependent_algEquiv_apply

∀ (K : Type u_1) (L : Type u_2) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] [FiniteDimensional K L],
  ∃ x, LinearIndependent K fun σ => σ x
Defined in
Mathlib.FieldTheory.Galois.NormalBasis
Cited by
1 results in Mathlib
Foundations
Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldAlgebraFiniteDimensional
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsGalois.normalBasis_apply · cited by 0IsGalois.normalBasis_applyDFunLike.coe · cited by 62936DFunLike.coeAlgebra · cited by 11388AlgebraField · cited by 7404FieldFinite · cited by 3029FiniteFiniteDimensional · cited by 1854FiniteDimensionalAlgEquiv · cited by 1681AlgEquivLinearIndependent · cited by 560LinearIndependentInfinite · cited by 352Infinitefinite_or_infinite · cited by 50finite_or_infiniteModule.finite_of_finite · cited by 8Module.finite_of_finiteexists_linearIndependent_algE…CITED BYCITES

Cites10

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Cited by1

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