Theorems · Theorem · nonassociative algebras

LieModule.genWeightSpaceOf.congr_simp

∀ {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] (χ χ_1 : R),
  χ = χ_1 → ∀ (x x_1 : L), x = x_1 → LieModule.genWeightSpaceOf M χ x = LieModule.genWeightSpaceOf M χ_1 x_1

Defined in

Mathlib.Algebra.Lie.Weights.Basic

Cited by

0 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModuleLieRing.IsNilpotent