Theorems · Theorem · nonassociative algebras

NonUnitalAlgHom.coe_prod

∀ {R : Type u} [inst : Monoid R] {A : Type v} {B : Type w} {C : Type w₁} [inst_1 : NonUnitalNonAssocSemiring A]
  [inst_2 : DistribMulAction R A] [inst_3 : NonUnitalNonAssocSemiring B] [inst_4 : NonUnitalNonAssocSemiring C]
  [inst_5 : DistribMulAction R B] [inst_6 : DistribMulAction R C] (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C),
  ⇑(f.prod g) = Function.prod ⇑f ⇑g

Defined in

Mathlib.Algebra.Algebra.NonUnitalHom

Cited by

0 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Quot.sound

Assumes

MonoidNonUnitalNonAssocSemiringDistribMulActionNonUnitalNonAssocSemiringNonUnitalNonAssocSemiringDistribMulActionDistribMulAction