Theorems · Theorem · nonassociative algebras

LieModule.IsIrreducible.mk

∀ {R : Type u_1} {L : Type u_2} {M : Type u_3} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : AddCommGroup M]
  [inst_3 : Module R M] [inst_4 : LieRingModule L M] [Nontrivial M],
  (∀ (N : LieSubmodule R L M), N ≠ ⊥ → N = ⊤) → LieModule.IsIrreducible R L M

Defined in

Mathlib.Algebra.Lie.Semisimple.Defs

Cited by

0 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingAddCommGroupModuleLieRingModuleNontrivial