Theorems · Definition · category theory

CategoryTheory.monoidalOfHasFiniteCoproducts

(C : Type u) →
  [inst : CategoryTheory.Category.{v, u} C] →
    [CategoryTheory.Limits.HasInitial C] →
      [CategoryTheory.Limits.HasBinaryCoproducts C] → CategoryTheory.MonoidalCategory C

A category with an initial object and binary coproducts has a natural monoidal structure.

Defined in

Mathlib.CategoryTheory.Monoidal.OfHasFiniteProducts

Cited by

11 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasInitialCategoryTheory.Limits.HasBinaryCoproducts