Theorems · Theorem · category theory

CategoryTheory.whiskerLeft_sum

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
  [inst_2 : CategoryTheory.MonoidalCategory C] [CategoryTheory.MonoidalPreadditive C] (P : C) {Q R : C} {J : Type u_2}
  (s : Finset J) (g : J → (Q ⟶ R)),
  CategoryTheory.MonoidalCategoryStruct.whiskerLeft P (∑ j ∈ s, g j) =
    ∑ j ∈ s, CategoryTheory.MonoidalCategoryStruct.whiskerLeft P (g j)

Defined in

Mathlib.CategoryTheory.Monoidal.Preadditive

Cited by

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.MonoidalCategoryCategoryTheory.MonoidalPreadditive