Theorems · Theorem · ring theory

AlgHom.prodEquiv_apply

∀ {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) × (A →ₐ[R] C)), AlgHom.prodEquiv f = f.1.prod f.2

Defined in

Mathlib.Algebra.Algebra.Prod

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommSemiringSemiringAlgebraSemiringAlgebraSemiringAlgebra