Theorems · Theorem · nonassociative algebras

LieModule.toModuleHom_apply

∀ (R : Type u) [inst : CommRing R] (L : Type v) (M : Type w) [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] (x : L)
  (m : M), (LieModule.toModuleHom R L M) (x ⊗ₜ[R] m) = ⁅x, m⁆

Defined in

Mathlib.Algebra.Lie.TensorProduct

Cited by

2 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModule