Theorems · Theorem · nonassociative algebras

LieIdeal.mem_killingCompl

∀ (R : Type u_1) (L : Type u_3) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (I : LieIdeal R L)
  {x : L}, x ∈ LieIdeal.killingCompl R L I ↔ ∀ y ∈ I, ((killingForm R L) y) x = 0

Defined in

Mathlib.Algebra.Lie.TraceForm

Cited by

2 results in Mathlib

Foundations

Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebra