Theorems · Theorem · nonassociative algebras

LieModule.coe_maxTrivLinearMapEquivLieModuleHom_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] (f : M →ₗ⁅R,L⁆ N), ⇑↑(LieModule.maxTrivLinearMapEquivLieModuleHom.symm f) = ⇑f

Defined in

Mathlib.Algebra.Lie.Abelian

Cited by

0 results in Mathlib

Foundations

Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModuleAddCommGroupModuleLieRingModuleLieModule