Theorems · Theorem · nonassociative algebras

LieIdeal.map_eq_bot_iff

∀ {R : Type u} {L : Type v} {L' : Type w₂} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieRing L']
  [inst_3 : LieAlgebra R L'] [inst_4 : LieAlgebra R L] {f : L →ₗ⁅R⁆ L'} {I : LieIdeal R L},
  LieIdeal.map f I = ⊥ ↔ I ≤ f.ker

Defined in

Mathlib.Algebra.Lie.Ideal

Cited by

1 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieRingLieAlgebraLieAlgebra