Theorems · Theorem · ring theory

IsIsotypicOfType.linearEquiv_fun

∀ {R : Type u_2} {M : Type u} {S : Type u_4} [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : AddCommGroup S]
  [inst_3 : Module R M] [inst_4 : Module R S] [IsSemisimpleModule R M] [Module.Finite R M],
  IsIsotypicOfType R M S → ∃ n, Nonempty (M ≃ₗ[R] Fin n → S)

Defined in

Mathlib.RingTheory.SimpleModule.Isotypic

Cited by

1 results in Mathlib

Foundations

Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupAddCommGroupModuleModuleIsSemisimpleModuleModule.Finite