Theorems · Theorem · nonassociative algebras

LieDerivation.ofGrading_apply_apply

∀ {ι : Type u_1} {R : Type u_3} {L : Type u_4} [inst : DecidableEq ι] [inst_1 : AddCommMonoid ι] [inst_2 : CommRing R]
  [inst_3 : LieRing L] [inst_4 : LieAlgebra R L] (ℒ : ι → Submodule R L) [inst_5 : GradedLieAlgebra ℒ] (φ : ι →+ R)
  {i : ι} {a : L}, a ∈ ℒ i → (LieDerivation.ofGrading ℒ φ) a = φ i • a

Defined in

Mathlib.Algebra.Lie.Graded

Cited by

0 results in Mathlib

Foundations

Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqAddCommMonoidCommRingLieRingLieAlgebraGradedLieAlgebra