Theorems · Theorem · ring theory

LinearEquiv.isotypicComponent_eq

∀ {R : Type u_2} {M : Type u} {N : Type u_3} {S : Type u_4} [inst : Ring R] [inst_1 : AddCommGroup M]
  [inst_2 : AddCommGroup N] [inst_3 : AddCommGroup S] [inst_4 : Module R M] [inst_5 : Module R N] [inst_6 : Module R S]
  (e : N ≃ₗ[R] S), isotypicComponent R M N = isotypicComponent R M S

Defined in

Mathlib.RingTheory.SimpleModule.Isotypic

Cited by

4 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupAddCommGroupAddCommGroupModuleModuleModule