Theorems · Theorem · ring theory

simple_iff_isSimpleModule

∀ {R : Type u_1} {M : Type u_2} [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M],
  CategoryTheory.Simple (ModuleCat.of R M) ↔ IsSimpleModule R M

Defined in

Mathlib.Algebra.Category.ModuleCat.Simple

Cited by

1 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModule