Theorems · Theorem · nonassociative algebras

LieHom.toLinearMap_comp

∀ {R : Type u} {L₁ : Type v} {L₂ : Type w} {L₃ : Type w₁} [inst : CommRing R] [inst_1 : LieRing L₁]
  [inst_2 : LieAlgebra R L₁] [inst_3 : LieRing L₂] [inst_4 : LieAlgebra R L₂] [inst_5 : LieRing L₃]
  [inst_6 : LieAlgebra R L₃] (f : L₂ →ₗ⁅R⁆ L₃) (g : L₁ →ₗ⁅R⁆ L₂), ↑(f.comp g) = ↑f ∘ₗ ↑g

Defined in

Mathlib.Algebra.Lie.Basic

Cited by

0 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebraLieRingLieAlgebraLieRingLieAlgebra