Theorems · Theorem · nonassociative algebras

LieHom.coe_prodMap

∀ {R : Type u_1} {L₁ : Type u_2} {L₂ : Type u_3} {L₃ : Type u_5} {L₄ : Type u_6} [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] [inst_7 : LieRing L₄] [inst_8 : LieAlgebra R L₄] (f : L₁ →ₗ⁅R⁆ L₃)
  (g : L₂ →ₗ⁅R⁆ L₄), ⇑(f.prodMap g) = Prod.map ⇑f ⇑g

Defined in

Mathlib.Algebra.Lie.Prod

Cited by

0 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebraLieRingLieAlgebraLieRingLieAlgebraLieRingLieAlgebra