Theorems · Theorem · nonassociative algebras

LieModule.Weight.toLinear_apply

∀ (R : Type u_2) (L : Type u_3) (M : Type u_4) [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 : LieRing.IsNilpotent L] [inst_8 : LieModule.LinearWeights R L M] (χ : LieModule.Weight R L M) (a : L),
  (LieModule.Weight.toLinear R L M χ) a = χ a

Defined in

Mathlib.Algebra.Lie.Weights.Linear

Cited by

11 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModuleLieRing.IsNilpotentLieModule.LinearWeights