Theorems · Theorem · ring theory

StarAlgHom.coe_prod

∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} {C : Type u_4} [inst : CommSemiring R] [inst_1 : Semiring A]
  [inst_2 : Algebra R A] [inst_3 : Star A] [inst_4 : Semiring B] [inst_5 : Algebra R B] [inst_6 : Star B]
  [inst_7 : Semiring C] [inst_8 : Algebra R C] [inst_9 : Star C] (f : A →⋆ₐ[R] B) (g : A →⋆ₐ[R] C),
  ⇑(f.prod g) = Function.prod ⇑f ⇑g

Defined in

Mathlib.Algebra.Star.StarAlgHom

Cited by

0 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebraStarSemiringAlgebraStarSemiringAlgebraStar