Theorems · Inductive type · category theory

CategoryTheory.MonoidalPreadditive

(C : Type u_1) →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [CategoryTheory.Preadditive C] → [CategoryTheory.MonoidalCategory C] → Prop

A category is MonoidalPreadditive if tensoring is additive in both factors. Note we don't extend Preadditive C here, as Abelian C already extends it, and we'll need to have both typeclasses sometimes.

Defined in

Mathlib.CategoryTheory.Monoidal.Preadditive

Cited by

65 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.MonoidalCategory