Theorems · Theorem · field theory

FiniteDimensional.right

∀ (F : Type u) (K : Type v) (A : Type w) [inst : Semiring F] [inst_1 : Semiring K] [inst_2 : Module F K]
  [inst_3 : AddCommMonoid A] [inst_4 : Module K A] [inst_5 : Module F A] [IsScalarTower F K A] [hf : Module.Finite F A],
  Module.Finite K A

Alias of Module.Finite.right. [Stacks Tag 09G5](https://stacks.math.columbia.edu/tag/09G5)

Defined in: Mathlib.FieldTheory.Tower
Cited by: 6 results in Mathlib
Foundations: Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Semiring Semiring Module AddCommMonoid Module Module IsScalarTower Module.Finite

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Around this declaration

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

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Modulestatement · cited by 20,661
Semiringstatement · cited by 13,802
AddCommMonoidstatement · cited by 12,281
IsScalarTowerstatement · cited by 3,896
Module.Finitestatement · cited by 1,032
Module.Finite.rightproof · cited by 1

Cited by6

Results whose statement or proof uses this declaration.

IsDecompositionField.rank_rightproof · cited by 1
IsInertiaField.rank_rightproof · cited by 1
sum_embeddings_eq_finrank_mulproof · cited by 1
Algebra.prod_embeddings_eq_finrank_powproof · cited by 1
RingOfIntegers.isUnit_normproof · cited by 1
FunctionField.finiteDimensional_of_adjoin_transcendentalproof · cited by 0