Theorems · Theorem · nonassociative algebras

Lie.Derivation.ofLieDerivation_apply

∀ {R : Type u_1} [inst : CommRing R] {A : Type u_2} [inst_1 : CommRing A] [inst_2 : Algebra R A] {L : Type u_3}
  [inst_3 : LieRing L] [inst_4 : LieAlgebra R L] (d : LieDerivation R L L) (x : TensorProduct R A L),
  ((Lie.Derivation.ofLieDerivation A) d) x = (LinearMap.lTensor A ↑d) x

Defined in

Mathlib.Algebra.Lie.Derivation.BaseChange

Cited by

0 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraLieRingLieAlgebra