Theorems · Theorem · nonassociative algebras

LieModule.maxTrivEquiv_of_equiv_symm_eq_symm

∀ {R : Type u} {L : Type v} {M : Type w} {N : Type w₁} [inst : CommRing R] [inst_1 : LieRing L]
  [inst_2 : LieAlgebra R L] [inst_3 : AddCommGroup M] [inst_4 : Module R M] [inst_5 : LieRingModule L M]
  [inst_6 : LieModule R L M] [inst_7 : AddCommGroup N] [inst_8 : Module R N] [inst_9 : LieRingModule L N]
  [inst_10 : LieModule R L N] (e : M ≃ₗ⁅R,L⁆ N), (LieModule.maxTrivEquiv e).symm = LieModule.maxTrivEquiv e.symm

Defined in

Mathlib.Algebra.Lie.Abelian

Cited by

0 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModuleAddCommGroupModuleLieRingModuleLieModule