Theorems · Theorem · nonassociative algebras

LieHom.isNilpotent_range

∀ {R : Type u} {L : Type v} {L' : Type w} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
  [inst_3 : LieRing L'] [inst_4 : LieAlgebra R L'] [LieRing.IsNilpotent L] (f : L →ₗ⁅R⁆ L'),
  LieRing.IsNilpotent ↥f.range

Defined in

Mathlib.Algebra.Lie.Nilpotent

Cited by

1 results in Mathlib

Foundations

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

Assumes

CommRingLieRingLieAlgebraLieRingLieAlgebraLieRing.IsNilpotent