Theorems · Theorem · nonassociative algebras

LieHom.le_ker_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), I ≤ f.ker ↔ ∀ x ∈ I, f x = 0

Defined in

Mathlib.Algebra.Lie.Ideal

Cited by

0 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieRingLieAlgebraLieAlgebra