Theorems · Theorem · nonassociative algebras

UniversalEnvelopingAlgebra.hom_ext

∀ (R : Type u₁) {L : Type u₂} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {A : Type u₃}
  [inst_3 : Ring A] [inst_4 : Algebra R A] {g₁ g₂ : UniversalEnvelopingAlgebra R L →ₐ[R] A},
  g₁.toLieHom.comp (UniversalEnvelopingAlgebra.ι R) = g₂.toLieHom.comp (UniversalEnvelopingAlgebra.ι R) → g₁ = g₂

See note [partially-applied ext lemmas].

Defined in

Mathlib.Algebra.Lie.UniversalEnveloping

Cited by

1 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraRingAlgebra