Theorems · Theorem · ring theory

AlgHom.snd_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 : Semiring B] [inst_4 : Algebra R B] [inst_5 : Semiring C] [inst_6 : Algebra R C]
  (f : A →ₐ[R] B) (g : A →ₐ[R] C), (AlgHom.snd R B C).comp (f.prod g) = g

Defined in

Mathlib.Algebra.Algebra.Prod

Cited by

0 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebraSemiringAlgebraSemiringAlgebra